TSTP Solution File: SWW298+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 : Fri Sep 1 00:13:31 EDT 2023
% Result : Theorem 119.46s 119.22s
% Output : CNFRefutation 119.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 19:45:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 119.02/119.06 %-------------------------------------------
% 119.02/119.06 % File :CSE---1.6
% 119.02/119.06 % Problem :theBenchmark
% 119.02/119.06 % Transform :cnf
% 119.02/119.06 % Format :tptp:raw
% 119.02/119.06 % Command :java -jar mcs_scs.jar %d %s
% 119.02/119.06
% 119.02/119.06 % Result :Theorem 115.570000s
% 119.02/119.06 % Output :CNFRefutation 115.570000s
% 119.02/119.06 %-------------------------------------------
% 119.02/119.07 %------------------------------------------------------------------------------
% 119.02/119.07 % File : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% 119.02/119.07 % Domain : Software Verification
% 119.02/119.07 % Problem : Hoare's Logic with Procedures 434773, 5000 axioms selected
% 119.02/119.07 % Version : Especial.
% 119.02/119.07 % English :
% 119.02/119.07
% 119.02/119.07 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 119.02/119.07 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 119.02/119.07 % Source : [Bla11]
% 119.02/119.07 % Names : hoare_434773.5000.p [Bla11]
% 119.02/119.07
% 119.02/119.07 % Status : Theorem
% 119.02/119.07 % Rating : 0.50 v7.5.0, 0.53 v7.4.0, 0.63 v7.3.0, 0.62 v7.2.0, 0.59 v7.1.0, 0.65 v7.0.0, 0.63 v6.4.0, 0.62 v6.2.0, 0.76 v6.1.0, 0.80 v6.0.0, 0.74 v5.5.0, 0.78 v5.4.0, 0.75 v5.3.0, 0.78 v5.2.0
% 119.02/119.07 % Syntax : Number of formulae : 5225 (1621 unt; 0 def)
% 119.02/119.07 % Number of atoms : 12912 (4401 equ)
% 119.02/119.07 % Maximal formula atoms : 13 ( 2 avg)
% 119.02/119.07 % Number of connectives : 8702 (1015 ~; 154 |; 751 &)
% 119.02/119.07 % ( 917 <=>;5865 =>; 0 <=; 0 <~>)
% 119.02/119.07 % Maximal formula depth : 22 ( 6 avg)
% 119.02/119.07 % Maximal term depth : 19 ( 2 avg)
% 119.02/119.07 % Number of predicates : 151 ( 150 usr; 0 prp; 1-6 aty)
% 119.02/119.07 % Number of functors : 368 ( 368 usr; 46 con; 0-7 aty)
% 119.02/119.07 % Number of variables : 16454 (16306 !; 148 ?)
% 119.02/119.07 % SPC : FOF_THM_RFO_SEQ
% 119.02/119.07
% 119.02/119.07 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 119.02/119.07 % 2011-03-01 11:28:57
% 119.02/119.07 %------------------------------------------------------------------------------
% 119.02/119.07 %----Relevant facts (4983)
% 119.02/119.07 fof(fact_ext,axiom,
% 119.02/119.07 ! [V_g_2,V_f_2] :
% 119.02/119.07 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 119.02/119.07 => V_f_2 = V_g_2 ) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_triple__valid__Suc,axiom,
% 119.02/119.07 ! [V_t,V_n,T_a] :
% 119.02/119.07 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 119.02/119.07 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_hoare__valids__def,axiom,
% 119.02/119.07 ! [V_tsa_2,V_G_2,T_b] :
% 119.02/119.07 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_G_2,V_tsa_2)
% 119.02/119.07 <=> ! [B_n] :
% 119.02/119.07 ( ! [B_x] :
% 119.02/119.07 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_G_2))
% 119.02/119.07 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 119.02/119.07 => ! [B_x] :
% 119.02/119.07 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 119.02/119.07 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_n__not__Suc__n,axiom,
% 119.02/119.07 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_Suc__n__not__n,axiom,
% 119.02/119.07 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 119.02/119.07
% 119.02/119.07 fof(fact_nat_Oinject,axiom,
% 119.02/119.07 ! [V_nat_H_2,V_nat_2] :
% 119.02/119.07 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 119.02/119.07 <=> V_nat_2 = V_nat_H_2 ) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_Suc__inject,axiom,
% 119.02/119.07 ! [V_y,V_x] :
% 119.02/119.07 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 119.02/119.07 => V_x = V_y ) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 119.02/119.07 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 119.02/119.07 ( class_Rings_Osemiring__1(T_b)
% 119.02/119.07 => 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)) ) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_power_Opower_Opower__Suc,axiom,
% 119.02/119.07 ! [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)) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_nat__case__Suc,axiom,
% 119.02/119.07 ! [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) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_nat__rec__Suc,axiom,
% 119.02/119.07 ! [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)) ).
% 119.02/119.07
% 119.02/119.07 fof(fact_INFI__bool__eq,axiom,
% 119.02/119.07 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_mono__Suc,axiom,
% 119.02/119.08 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_mono__iff__le__Suc,axiom,
% 119.02/119.08 ! [V_f_2,T_b] :
% 119.02/119.08 ( class_Orderings_Oorder(T_b)
% 119.02/119.08 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2)
% 119.02/119.08 <=> ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_def__nat__rec__Suc,axiom,
% 119.02/119.08 ! [V_na_2,V_h_2,V_c_2,T_b,V_f_2] :
% 119.02/119.08 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n)
% 119.02/119.08 => 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)) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 119.02/119.08 ! [V_i_2,V_inc_2,T_b] :
% 119.02/119.08 ( class_Rings_Osemiring__1(T_b)
% 119.02/119.08 => 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 ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_power_Opower_Opower__0,axiom,
% 119.02/119.08 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 119.02/119.08
% 119.02/119.08 fof(fact_nat__rec__0,axiom,
% 119.02/119.08 ! [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 ).
% 119.02/119.08
% 119.02/119.08 fof(fact_nat__case__0,axiom,
% 119.02/119.08 ! [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 ).
% 119.02/119.08
% 119.02/119.08 fof(fact_Suc__mono,axiom,
% 119.02/119.08 ! [V_n,V_m] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_lessI,axiom,
% 119.02/119.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_strict__mono__mono,axiom,
% 119.02/119.08 ! [V_f_2,T_b,T_c] :
% 119.02/119.08 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.08 & class_Orderings_Oorder(T_b) )
% 119.02/119.08 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 119.02/119.08 => c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_Suc__neq__Zero,axiom,
% 119.02/119.08 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_Zero__neq__Suc,axiom,
% 119.02/119.08 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_nat_Osimps_I3_J,axiom,
% 119.02/119.08 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_order__refl,axiom,
% 119.02/119.08 ! [V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Opreorder(T_a)
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_le0,axiom,
% 119.02/119.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__zeroE,axiom,
% 119.02/119.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_zero__less__Suc,axiom,
% 119.02/119.08 ! [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))) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_not__less0,axiom,
% 119.02/119.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__not__refl,axiom,
% 119.02/119.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_neq0__conv,axiom,
% 119.02/119.08 ! [V_na_2] :
% 119.02/119.08 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.02/119.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_nat__neq__iff,axiom,
% 119.02/119.08 ! [V_na_2,V_m_2] :
% 119.02/119.08 ( V_m_2 != V_na_2
% 119.02/119.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 119.02/119.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__nat__zero__code,axiom,
% 119.02/119.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_le__0__eq,axiom,
% 119.02/119.08 ! [V_na_2] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 119.02/119.08 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_nat__less__le,axiom,
% 119.02/119.08 ! [V_na_2,V_m_2] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.08 & V_m_2 != V_na_2 ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_le__eq__less__or__eq,axiom,
% 119.02/119.08 ! [V_na_2,V_m_2] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.08 | V_m_2 = V_na_2 ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_linorder__neqE__nat,axiom,
% 119.02/119.08 ! [V_y,V_x] :
% 119.02/119.08 ( V_x != V_y
% 119.02/119.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__irrefl__nat,axiom,
% 119.02/119.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_gr__implies__not0,axiom,
% 119.02/119.08 ! [V_n,V_m] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.08 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__not__refl2,axiom,
% 119.02/119.08 ! [V_m,V_n] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 119.02/119.08 => V_m != V_n ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__not__refl3,axiom,
% 119.02/119.08 ! [V_t,V_s] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 119.02/119.08 => V_s != V_t ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__imp__le__nat,axiom,
% 119.02/119.08 ! [V_n,V_m] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_le__neq__implies__less,axiom,
% 119.02/119.08 ! [V_n,V_m] :
% 119.02/119.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.02/119.08 => ( V_m != V_n
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_less__or__eq__imp__le,axiom,
% 119.02/119.08 ! [V_n,V_m] :
% 119.02/119.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.08 | V_m = V_n )
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_gr0I,axiom,
% 119.02/119.08 ! [V_n] :
% 119.02/119.08 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_nat__less__cases,axiom,
% 119.02/119.08 ! [V_P_2,V_na_2,V_m_2] :
% 119.02/119.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.08 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) )
% 119.02/119.08 => ( ( V_m_2 = V_na_2
% 119.02/119.08 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) )
% 119.02/119.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 119.02/119.08 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) )
% 119.02/119.08 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_linorder__cases,axiom,
% 119.02/119.08 ! [V_y,V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Olinorder(T_a)
% 119.02/119.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.08 => ( V_x != V_y
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_linorder__le__cases,axiom,
% 119.02/119.08 ! [V_y,V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Olinorder(T_a)
% 119.02/119.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_le__funE,axiom,
% 119.02/119.08 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 119.02/119.08 ( class_Orderings_Oord(T_c)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.02/119.08 => 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))) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_order__less__asym,axiom,
% 119.02/119.08 ! [V_y,V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Opreorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_xt1_I6_J,axiom,
% 119.02/119.08 ! [V_z,V_x,V_y,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_xt1_I5_J,axiom,
% 119.02/119.08 ! [V_x,V_y,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.08 => V_x = V_y ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_xt1_I8_J,axiom,
% 119.02/119.08 ! [V_z,V_x,V_y,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_order__trans,axiom,
% 119.02/119.08 ! [V_z,V_y,V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Opreorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_order__antisym,axiom,
% 119.02/119.08 ! [V_y,V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.02/119.08 => V_x = V_y ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_order__le__less__trans,axiom,
% 119.02/119.08 ! [V_z,V_y,V_x,T_a] :
% 119.02/119.08 ( class_Orderings_Opreorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_xt1_I4_J,axiom,
% 119.02/119.08 ! [V_c,V_a,V_b,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.02/119.08 => ( V_b = V_c
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_ord__le__eq__trans,axiom,
% 119.02/119.08 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.08 ( class_Orderings_Oord(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.08 => ( V_b = V_c
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_xt1_I7_J,axiom,
% 119.02/119.08 ! [V_z,V_x,V_y,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_xt1_I10_J,axiom,
% 119.02/119.08 ! [V_z,V_x,V_y,T_a] :
% 119.02/119.08 ( class_Orderings_Oorder(T_a)
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 119.02/119.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 119.02/119.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 119.02/119.08
% 119.02/119.08 fof(fact_order__less__le__trans,axiom,
% 119.02/119.08 ! [V_z,V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__trans,axiom,
% 119.02/119.09 ! [V_z,V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_xt1_I2_J,axiom,
% 119.02/119.09 ! [V_c,V_a,V_b,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 119.02/119.09 => ( V_b = V_c
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_ord__less__eq__trans,axiom,
% 119.02/119.09 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oord(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.09 => ( V_b = V_c
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_xt1_I3_J,axiom,
% 119.02/119.09 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( V_a = V_b
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_ord__eq__le__trans,axiom,
% 119.02/119.09 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oord(T_a)
% 119.02/119.09 => ( V_a = V_b
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_xt1_I1_J,axiom,
% 119.02/119.09 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( V_a = V_b
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_ord__eq__less__trans,axiom,
% 119.02/119.09 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oord(T_a)
% 119.02/119.09 => ( V_a = V_b
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_xt1_I9_J,axiom,
% 119.02/119.09 ! [V_a,V_b,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 119.02/119.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__asym_H,axiom,
% 119.02/119.09 ! [V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_xt1_I11_J,axiom,
% 119.02/119.09 ! [V_a,V_b,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.02/119.09 => ( V_a != V_b
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__le__neq__trans,axiom,
% 119.02/119.09 ! [V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.09 => ( V_a != V_b
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__antisym__conv,axiom,
% 119.02/119.09 ! [V_x_2,V_y_2,T_b] :
% 119.02/119.09 ( class_Orderings_Oorder(T_b)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__le__imp__less__or__eq,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 | V_x = V_y ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__imp__not__eq2,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => V_y != V_x ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__imp__not__eq,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => V_x != V_y ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_le__funD,axiom,
% 119.02/119.09 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( class_Orderings_Oord(T_c)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.02/119.09 => 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))) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__antisym__conv2,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__imp__not__less,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__imp__le,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__eq__refl,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( V_x = V_y
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_leD,axiom,
% 119.02/119.09 ! [V_x,V_y,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.02/119.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__not__sym,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__imp__neq,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => V_x != V_y ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__neqE,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( V_x != V_y
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_xt1_I12_J,axiom,
% 119.02/119.09 ! [V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( V_a != V_b
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__neq__le__trans,axiom,
% 119.02/119.09 ! [V_b,V_a,T_a] :
% 119.02/119.09 ( class_Orderings_Oorder(T_a)
% 119.02/119.09 => ( V_a != V_b
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__antisym__conv1,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__antisym__conv3,axiom,
% 119.02/119.09 ! [V_x_2,V_y_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_not__leE,axiom,
% 119.02/119.09 ! [V_x,V_y,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_leI,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_strict__monoD,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.09 & class_Orderings_Oorder(T_b) )
% 119.02/119.09 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_strict__mono__less__eq,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.09 & class_Orderings_Olinorder(T_b) )
% 119.02/119.09 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_strict__mono__less,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.09 & class_Orderings_Olinorder(T_b) )
% 119.02/119.09 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_strict__mono__eq,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.09 & class_Orderings_Olinorder(T_b) )
% 119.02/119.09 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 119.02/119.09 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 119.02/119.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__less__linear,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.09 | V_x = V_y
% 119.02/119.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__le__less,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Oorder(T_b)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 | V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__eq__iff,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Oorder(T_b)
% 119.02/119.09 => ( V_x_2 = V_y_2
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__le__not__le,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_b)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__le,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Oorder(T_b)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 & V_x_2 != V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__linear,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__le__less__linear,axiom,
% 119.02/119.09 ! [V_y,V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_a)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.02/119.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_le__fun__def,axiom,
% 119.02/119.09 ! [V_g_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( class_Orderings_Oord(T_c)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.02/119.09 <=> ! [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))) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_not__less__iff__gr__or__eq,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 119.02/119.09 | V_x_2 = V_y_2 ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__neq__iff,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( V_x_2 != V_y_2
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__not__le,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_linorder__not__less,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,T_b] :
% 119.02/119.09 ( class_Orderings_Olinorder(T_b)
% 119.02/119.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_order__less__irrefl,axiom,
% 119.02/119.09 ! [V_x,T_a] :
% 119.02/119.09 ( class_Orderings_Opreorder(T_a)
% 119.02/119.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_Suc__le__lessD,axiom,
% 119.02/119.09 ! [V_n,V_m] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_le__less__Suc__eq,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 119.02/119.09 <=> V_na_2 = V_m_2 ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_Suc__leI,axiom,
% 119.02/119.09 ! [V_n,V_m] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_le__imp__less__Suc,axiom,
% 119.02/119.09 ! [V_n,V_m] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_Suc__le__eq,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__Suc__eq__le,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__eq__Suc__le,axiom,
% 119.02/119.09 ! [V_m_2,V_na_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__Suc__eq__0__disj,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 119.02/119.09 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.02/119.09 | ? [B_j] :
% 119.02/119.09 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 119.02/119.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__Suc0,axiom,
% 119.02/119.09 ! [V_na_2] :
% 119.02/119.09 ( 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))))
% 119.02/119.09 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_gr0__conv__Suc,axiom,
% 119.02/119.09 ! [V_na_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 119.02/119.09 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_INF__subset,axiom,
% 119.02/119.09 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.02/119.09 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.02/119.09 => 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))) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_monoD,axiom,
% 119.02/119.09 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 119.02/119.09 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.09 & class_Orderings_Oorder(T_b) )
% 119.02/119.09 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.02/119.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.02/119.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_not__less__eq,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_less__Suc__eq,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 119.02/119.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.09 | V_m_2 = V_na_2 ) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_Suc__less__eq,axiom,
% 119.02/119.09 ! [V_na_2,V_m_2] :
% 119.02/119.09 ( 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)))
% 119.02/119.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.02/119.09
% 119.02/119.09 fof(fact_not__less__less__Suc__eq,axiom,
% 119.02/119.09 ! [V_m_2,V_na_2] :
% 119.02/119.09 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 119.02/119.10 <=> V_na_2 = V_m_2 ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_less__antisym,axiom,
% 119.02/119.10 ! [V_m,V_n] :
% 119.02/119.10 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 119.02/119.10 => V_m = V_n ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_less__SucI,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__lessI,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_less__trans__Suc,axiom,
% 119.02/119.10 ! [V_k,V_j,V_i] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_less__SucE,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 119.02/119.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => V_m = V_n ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__lessD,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__less__SucD,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__n__not__le__n,axiom,
% 119.02/119.10 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_not__less__eq__eq,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2] :
% 119.02/119.10 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__Suc__eq,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 119.02/119.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.02/119.10 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__le__mono,axiom,
% 119.02/119.10 ! [V_m_2,V_na_2] :
% 119.02/119.10 ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__SucI,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__SucE,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 119.02/119.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__leD,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Zero__not__Suc,axiom,
% 119.02/119.10 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat_Osimps_I2_J,axiom,
% 119.02/119.10 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__not__Zero,axiom,
% 119.02/119.10 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__strict__mono,axiom,
% 119.02/119.10 ! [V_n,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.02/119.10 => 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))) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__0__less__iff,axiom,
% 119.02/119.10 ! [V_na_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_gr0__implies__Suc,axiom,
% 119.02/119.10 ! [V_n] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.02/119.10 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_lift__Suc__mono__less__iff,axiom,
% 119.02/119.10 ! [V_m_2,V_na_2,V_f_2,T_b] :
% 119.02/119.10 ( class_Orderings_Oorder(T_b)
% 119.02/119.10 => ( ! [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))))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_na_2)),hAPP(V_f_2,V_m_2)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_lift__Suc__mono__less,axiom,
% 119.02/119.10 ! [V_n_H_2,V_na_2,V_f_2,T_b] :
% 119.02/119.10 ( class_Orderings_Oorder(T_b)
% 119.02/119.10 => ( ! [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))))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_n_H_2))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__eq__imp__eq__base,axiom,
% 119.02/119.10 ! [V_b,V_n,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( 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)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.02/119.10 => V_a = V_b ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_termination__basic__simps_I5_J,axiom,
% 119.02/119.10 ! [V_y,V_x] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_linorder__neqE__linordered__idom,axiom,
% 119.02/119.10 ! [V_y,V_x,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__idom(T_a)
% 119.02/119.10 => ( V_x != V_y
% 119.02/119.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__reorient,axiom,
% 119.02/119.10 ! [V_x_2,T_b] :
% 119.02/119.10 ( class_Groups_Ozero(T_b)
% 119.02/119.10 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 119.02/119.10 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_strict__monoI,axiom,
% 119.02/119.10 ! [V_f_2,T_b,T_c] :
% 119.02/119.10 ( ( class_Orderings_Oorder(T_c)
% 119.02/119.10 & class_Orderings_Oorder(T_b) )
% 119.02/119.10 => ( ! [B_x,B_y] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),B_y))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 119.02/119.10 => c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_n__less__m__mult__n,axiom,
% 119.02/119.10 ! [V_m,V_n] :
% 119.02/119.10 ( 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))
% 119.02/119.10 => ( 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))
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__refl,axiom,
% 119.02/119.10 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__square,axiom,
% 119.02/119.10 ! [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))) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__cube,axiom,
% 119.02/119.10 ! [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)))) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__le__linear,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_eq__imp__le,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( V_m = V_n
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__mono1,axiom,
% 119.02/119.10 ! [V_k,V_j,V_i] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.02/119.10 => 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__mono2,axiom,
% 119.02/119.10 ! [V_k,V_j,V_i] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.02/119.10 => 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__trans,axiom,
% 119.02/119.10 ! [V_k,V_j,V_i] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_le__antisym,axiom,
% 119.02/119.10 ! [V_n,V_m] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.02/119.10 => V_m = V_n ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__mono,axiom,
% 119.02/119.10 ! [V_l,V_k,V_j,V_i] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_less__fun__def,axiom,
% 119.02/119.10 ! [V_g_2,V_f_2,T_b,T_c] :
% 119.02/119.10 ( class_Orderings_Oord(T_c)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.02/119.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.02/119.10 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Groups_Oab__semigroup__mult(T_a)
% 119.02/119.10 => 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)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__mult__distrib,axiom,
% 119.02/119.10 ! [V_n,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Groups_Ocomm__monoid__mult(T_a)
% 119.02/119.10 => 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)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__mult__assoc,axiom,
% 119.02/119.10 ! [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)) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__commutes,axiom,
% 119.02/119.10 ! [V_n,V_a,T_a] :
% 119.02/119.10 ( class_Groups_Omonoid__mult(T_a)
% 119.02/119.10 => 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)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__eq__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2,T_b] :
% 119.02/119.10 ( class_Nat_Osemiring__char__0(T_b)
% 119.02/119.10 => ( 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)
% 119.02/119.10 <=> V_m_2 = V_na_2 ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__mult,axiom,
% 119.02/119.10 ! [V_n,V_m,V_a,T_a] :
% 119.02/119.10 ( class_Groups_Omonoid__mult(T_a)
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__mult__commute,axiom,
% 119.02/119.10 ! [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) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__mult,axiom,
% 119.02/119.10 ! [V_n,V_m,T_a] :
% 119.02/119.10 ( class_Rings_Osemiring__1(T_a)
% 119.02/119.10 => 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)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__power,axiom,
% 119.02/119.10 ! [V_n,V_m,T_a] :
% 119.02/119.10 ( class_Rings_Osemiring__1(T_a)
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__Suc,axiom,
% 119.02/119.10 ! [V_n,V_a,T_a] :
% 119.02/119.10 ( class_Power_Opower(T_a)
% 119.02/119.10 => 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)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__Suc2,axiom,
% 119.02/119.10 ! [V_n,V_a,T_a] :
% 119.02/119.10 ( class_Groups_Omonoid__mult(T_a)
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__zero__left,axiom,
% 119.02/119.10 ! [V_a,T_a] :
% 119.02/119.10 ( class_Rings_Omult__zero(T_a)
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__zero__right,axiom,
% 119.02/119.10 ! [V_a,T_a] :
% 119.02/119.10 ( class_Rings_Omult__zero(T_a)
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__eq__0__iff,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,T_b] :
% 119.02/119.10 ( class_Rings_Oring__no__zero__divisors(T_b)
% 119.02/119.10 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.02/119.10 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.02/119.10 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_no__zero__divisors,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Ono__zero__divisors(T_a)
% 119.02/119.10 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 119.02/119.10 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.02/119.10 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_divisors__zero,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Ono__zero__divisors(T_a)
% 119.02/119.10 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 119.02/119.10 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 119.02/119.10 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_field__power__not__zero,axiom,
% 119.02/119.10 ! [V_n,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 119.02/119.10 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 119.02/119.10 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__le__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__cancel2,axiom,
% 119.02/119.10 ! [V_na_2,V_k_2,V_m_2] :
% 119.02/119.10 ( 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)
% 119.02/119.10 <=> ( V_m_2 = V_na_2
% 119.02/119.10 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__cancel1,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2,V_k_2] :
% 119.02/119.10 ( 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)
% 119.02/119.10 <=> ( V_m_2 = V_na_2
% 119.02/119.10 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__is__0,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2] :
% 119.02/119.10 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.02/119.10 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.02/119.10 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__0__right,axiom,
% 119.02/119.10 ! [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) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__0,axiom,
% 119.02/119.10 ! [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) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__mult__cancel1,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2,V_k_2] :
% 119.02/119.10 ( 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)
% 119.02/119.10 <=> V_m_2 = V_na_2 ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_Suc__mult__le__cancel1,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2,V_k_2] :
% 119.02/119.10 ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__le__square,axiom,
% 119.02/119.10 ! [V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__ring(T_a)
% 119.02/119.10 => 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__le__mult__iff,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 119.02/119.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__0__iff,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 119.02/119.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__nonneg__nonneg,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__cancel__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__nonneg__nonpos,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__cancel__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__nonneg__nonpos2,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__cancel__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__nonpos__nonneg,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__cancel__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__nonpos__nonpos,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__ring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__right__mono,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__left__mono,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_comm__mult__left__mono,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__comm__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__right__mono__neg,axiom,
% 119.02/119.10 ! [V_c,V_a,V_b,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__ring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__left__mono__neg,axiom,
% 119.02/119.10 ! [V_c,V_a,V_b,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__ring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__mono_H,axiom,
% 119.02/119.10 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__mono,axiom,
% 119.02/119.10 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__semiring(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_split__mult__pos__le,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__ring(T_a)
% 119.02/119.10 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 119.02/119.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_split__mult__neg__le,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Oordered__cancel__semiring(T_a)
% 119.02/119.10 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 119.02/119.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_not__square__less__zero,axiom,
% 119.02/119.10 ! [V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__ring(T_a)
% 119.02/119.10 => ~ 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__cancel__right__disj,axiom,
% 119.02/119.10 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 119.02/119.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__cancel__left__disj,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 119.02/119.10 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.02/119.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__cancel__left__pos,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__pos__pos,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__pos__neg,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__pos__neg2,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__less__mult__pos,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__less__mult__pos2,axiom,
% 119.02/119.10 ! [V_a,V_b,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__cancel__left__neg,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__neg__pos,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__neg__neg,axiom,
% 119.02/119.10 ! [V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__strict__right__mono,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__strict__left__mono,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_comm__mult__strict__left__mono,axiom,
% 119.02/119.10 ! [V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__strict__right__mono__neg,axiom,
% 119.02/119.10 ! [V_c,V_a,V_b,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__strict__left__mono__neg,axiom,
% 119.02/119.10 ! [V_c,V_a,V_b,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__mono,axiom,
% 119.02/119.10 ! [V_n,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => 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))) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__le__power,axiom,
% 119.02/119.10 ! [V_n,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__less__power,axiom,
% 119.02/119.10 ! [V_n,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__eq__0__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_a_2,T_b] :
% 119.02/119.10 ( ( class_Power_Opower(T_b)
% 119.02/119.10 & class_Rings_Omult__zero(T_b)
% 119.02/119.10 & class_Rings_Ono__zero__divisors(T_b)
% 119.02/119.10 & class_Rings_Ozero__neq__one(T_b) )
% 119.02/119.10 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.02/119.10 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.02/119.10 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__0__Suc,axiom,
% 119.02/119.10 ! [V_n,T_a] :
% 119.02/119.10 ( ( class_Power_Opower(T_a)
% 119.02/119.10 & class_Rings_Osemiring__0(T_a) )
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__cancel__left__pos,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__cancel__left__neg,axiom,
% 119.02/119.10 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__strict__mono,axiom,
% 119.02/119.10 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__strict__mono_H,axiom,
% 119.02/119.10 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__le__imp__less,axiom,
% 119.02/119.10 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__le__less__imp__less,axiom,
% 119.02/119.10 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => 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))) ) ) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__right__less__imp__less,axiom,
% 119.02/119.10 ! [V_b,V_c,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__imp__less__right,axiom,
% 119.02/119.10 ! [V_b,V_c,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__left__less__imp__less,axiom,
% 119.02/119.10 ! [V_b,V_a,V_c,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__less__imp__less__left,axiom,
% 119.02/119.10 ! [V_b,V_a,V_c,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__right__le__imp__le,axiom,
% 119.02/119.10 ! [V_b,V_c,V_a,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__left__le__imp__le,axiom,
% 119.02/119.10 ! [V_b,V_a,V_c,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semiring__strict(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_power__Suc__0,axiom,
% 119.02/119.10 ! [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)) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 119.02/119.10 ! [V_m_2,V_x_2] :
% 119.02/119.10 ( 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))
% 119.02/119.10 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.02/119.10 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__one__le__power,axiom,
% 119.02/119.10 ! [V_n,V_i] :
% 119.02/119.10 ( 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))
% 119.02/119.10 => 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__power__less__imp__less,axiom,
% 119.02/119.10 ! [V_n,V_m,V_i] :
% 119.02/119.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_nat__zero__less__power__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_x_2] :
% 119.02/119.10 ( 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)))
% 119.02/119.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 119.02/119.10 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__0__le__iff,axiom,
% 119.02/119.10 ! [V_n,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_zero__le__imp__of__nat,axiom,
% 119.02/119.10 ! [V_m,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__less__0__iff,axiom,
% 119.02/119.10 ! [V_m,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ~ 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))) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__0,axiom,
% 119.02/119.10 ! [T_a] :
% 119.02/119.10 ( class_Rings_Osemiring__1(T_a)
% 119.02/119.10 => 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) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_mult__eq__1__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2] :
% 119.02/119.10 ( 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))
% 119.02/119.10 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 119.02/119.10 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_one__le__mult__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2] :
% 119.02/119.10 ( 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)))
% 119.02/119.10 <=> ( 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))
% 119.02/119.10 & 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)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__less__imp__less,axiom,
% 119.02/119.10 ! [V_n,V_m,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_less__imp__of__nat__less,axiom,
% 119.02/119.10 ! [V_n,V_m,T_a] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.02/119.10 => 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))) ) ) ).
% 119.02/119.10
% 119.02/119.10 fof(fact_of__nat__less__iff,axiom,
% 119.02/119.10 ! [V_na_2,V_m_2,T_b] :
% 119.02/119.10 ( class_Rings_Olinordered__semidom(T_b)
% 119.02/119.10 => ( 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)))
% 119.02/119.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_mult__less__mono2,axiom,
% 119.02/119.11 ! [V_k,V_j,V_i] :
% 119.02/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.02/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 119.02/119.11 => 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))) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_mult__less__mono1,axiom,
% 119.02/119.11 ! [V_k,V_j,V_i] :
% 119.02/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.02/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 119.02/119.11 => 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))) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_mult__le__cancel2,axiom,
% 119.02/119.11 ! [V_na_2,V_k_2,V_m_2] :
% 119.02/119.11 ( 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)))
% 119.02/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.02/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_mult__le__cancel1,axiom,
% 119.02/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.02/119.11 ( 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)))
% 119.02/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.02/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_mult__less__cancel2,axiom,
% 119.02/119.11 ! [V_na_2,V_k_2,V_m_2] :
% 119.02/119.11 ( 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)))
% 119.02/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.02/119.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_mult__less__cancel1,axiom,
% 119.02/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.02/119.11 ( 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)))
% 119.02/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.02/119.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_nat__0__less__mult__iff,axiom,
% 119.02/119.11 ! [V_na_2,V_m_2] :
% 119.02/119.11 ( 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)))
% 119.02/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 119.02/119.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_Suc__mult__less__cancel1,axiom,
% 119.02/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.02/119.11 ( 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)))
% 119.02/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_power__less__imp__less__base,axiom,
% 119.02/119.11 ! [V_b,V_n,V_a,T_a] :
% 119.02/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.11 => ( 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)))
% 119.02/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_power__inject__base,axiom,
% 119.02/119.11 ! [V_b,V_n,V_a,T_a] :
% 119.02/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.02/119.11 => ( 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))
% 119.02/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.02/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.02/119.11 => V_a = V_b ) ) ) ) ).
% 119.02/119.11
% 119.02/119.11 fof(fact_power__le__imp__le__base,axiom,
% 119.16/119.11 ! [V_b,V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( 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))))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_one__less__mult,axiom,
% 119.16/119.11 ! [V_m,V_n] :
% 119.16/119.11 ( 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))
% 119.16/119.11 => ( 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))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_n__less__n__mult__m,axiom,
% 119.16/119.11 ! [V_m,V_n] :
% 119.16/119.11 ( 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))
% 119.16/119.11 => ( 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))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__le__cancel1,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__eq__cancel1,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.16/119.11 => ( 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)
% 119.16/119.11 <=> V_m_2 = V_na_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__less__cancel1,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 119.16/119.11 ! [V_q,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 119.16/119.11 ! [V_q,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 119.16/119.11 ! [V_q,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_equalityI,axiom,
% 119.16/119.11 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.11 => V_A_2 = V_B_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 119.16/119.11 ! [V_q,V_p,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.11 ( 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)
% 119.16/119.11 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.11 | V_m_2 = V_na_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 119.16/119.11 ! [V_q,V_y,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__less__int__conv,axiom,
% 119.16/119.11 ! [V_na_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__zless__mono2,axiom,
% 119.16/119.11 ! [V_k,V_j,V_i] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zless__linear,axiom,
% 119.16/119.11 ! [V_y,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 119.16/119.11 | V_x = V_y
% 119.16/119.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zless__le,axiom,
% 119.16/119.11 ! [V_w_2,V_z_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 119.16/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 119.16/119.11 & V_z_2 != V_w_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__zle__int,axiom,
% 119.16/119.11 ! [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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__less__0__conv,axiom,
% 119.16/119.11 ! [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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__power,axiom,
% 119.16/119.11 ! [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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zpower__int,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__int__eq,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2] :
% 119.16/119.11 ( 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)
% 119.16/119.11 <=> V_m_2 = V_na_2 ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__int,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__mult,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__zless__mono2__lemma,axiom,
% 119.16/119.11 ! [V_k,V_j,V_i] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 119.16/119.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 119.16/119.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 119.16/119.11 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 119.16/119.11 ! [V_rx,V_ly,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 119.16/119.11 ! [V_rx,V_ly,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 119.16/119.11 ! [V_ry,V_rx,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 119.16/119.11 ! [V_ry,V_rx,V_lx,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 119.16/119.11 ! [V_b,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__0,axiom,
% 119.16/119.11 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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__eq__0__conv,axiom,
% 119.16/119.11 ! [V_na_2] :
% 119.16/119.11 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.11 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__le__0__conv,axiom,
% 119.16/119.11 ! [V_na_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zless__int,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_subset__refl,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_psubset__eq,axiom,
% 119.16/119.11 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 & V_A_2 != V_B_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_set__eq__subset,axiom,
% 119.16/119.11 ! [T_b,V_B_2,V_A_2] :
% 119.16/119.11 ( V_A_2 = V_B_2
% 119.16/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_subset__iff__psubset__eq,axiom,
% 119.16/119.11 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 | V_A_2 = V_B_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_equalityD1,axiom,
% 119.16/119.11 ! [T_b,V_B_2,V_A_2] :
% 119.16/119.11 ( V_A_2 = V_B_2
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_equalityD2,axiom,
% 119.16/119.11 ! [T_b,V_B_2,V_A_2] :
% 119.16/119.11 ( V_A_2 = V_B_2
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_psubset__imp__subset,axiom,
% 119.16/119.11 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_psubset__subset__trans,axiom,
% 119.16/119.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_subset__psubset__trans,axiom,
% 119.16/119.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_subset__trans,axiom,
% 119.16/119.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_equalityE,axiom,
% 119.16/119.11 ! [T_b,V_B_2,V_A_2] :
% 119.16/119.11 ( V_A_2 = V_B_2
% 119.16/119.11 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zle__int,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zpower__zpower,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 119.16/119.11 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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 119.16/119.11 ! [V_P_2] :
% 119.16/119.11 ( ! [B_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.16/119.11 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.11 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 119.16/119.11 ! [V_P_2] :
% 119.16/119.11 ( ? [B_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.16/119.11 & hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.11 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 119.16/119.11 ! [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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__less__imp__eq__int,axiom,
% 119.16/119.11 ! [V_k] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 119.16/119.11 => ? [B_n] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 119.16/119.11 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__less__0__iff,axiom,
% 119.16/119.11 ! [V_z_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__0__less__iff,axiom,
% 119.16/119.11 ! [V_z_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zle__antisym,axiom,
% 119.16/119.11 ! [V_w,V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 119.16/119.11 => V_z = V_w ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zle__trans,axiom,
% 119.16/119.11 ! [V_k,V_j,V_i] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_psubset__trans,axiom,
% 119.16/119.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zle__linear,axiom,
% 119.16/119.11 ! [V_w,V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 119.16/119.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zle__refl,axiom,
% 119.16/119.11 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__commute,axiom,
% 119.16/119.11 ! [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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__assoc,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__eq__iff,axiom,
% 119.16/119.11 ! [V_z_2,V_w_2,T_b] :
% 119.16/119.11 ( class_Int_Oring__char__0(T_b)
% 119.16/119.11 => ( 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)
% 119.16/119.11 <=> V_w_2 = V_z_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__le__iff,axiom,
% 119.16/119.11 ! [V_z_2,V_w_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__mult,axiom,
% 119.16/119.11 ! [V_z,V_w,T_a] :
% 119.16/119.11 ( class_Rings_Oring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__int__eq,axiom,
% 119.16/119.11 ! [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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__power,axiom,
% 119.16/119.11 ! [V_n,V_z,T_a] :
% 119.16/119.11 ( class_Rings_Oring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__0,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Oring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__0__eq__iff,axiom,
% 119.16/119.11 ! [V_z_2,T_b] :
% 119.16/119.11 ( class_Int_Oring__char__0(T_b)
% 119.16/119.11 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 119.16/119.11 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__eq__0__iff,axiom,
% 119.16/119.11 ! [V_z_2,T_b] :
% 119.16/119.11 ( class_Int_Oring__char__0(T_b)
% 119.16/119.11 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.11 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__less__iff,axiom,
% 119.16/119.11 ! [V_z_2,V_w_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__of__nat__eq,axiom,
% 119.16/119.11 ! [V_n,T_a] :
% 119.16/119.11 ( class_Rings_Oring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__0__le__iff,axiom,
% 119.16/119.11 ! [V_z_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__le__0__iff,axiom,
% 119.16/119.11 ! [V_z_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 119.16/119.11 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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 119.16/119.11 ! [V_n,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.11 => 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))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 119.16/119.11 ! [V_y,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2] :
% 119.16/119.11 ( 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)
% 119.16/119.11 <=> V_x_2 = V_y_2 ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 119.16/119.11 ! [V_y,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__less__iff,axiom,
% 119.16/119.11 ! [V_m_2,V_w_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 119.16/119.11 <=> 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__power__eq,axiom,
% 119.16/119.11 ! [V_n,V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 119.16/119.11 ! [V_n,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_one__less__power,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.11 => 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))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__le__imp__le__exp,axiom,
% 119.16/119.11 ! [V_n,V_m,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__increasing__iff,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_b)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__decreasing,axiom,
% 119.16/119.11 ! [V_a,V_N,V_n,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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))) ) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__strict__decreasing,axiom,
% 119.16/119.11 ! [V_a,V_N,V_n,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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))) ) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__Suc__less__one,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 119.16/119.11 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_one__reorient,axiom,
% 119.16/119.11 ! [V_x_2,T_b] :
% 119.16/119.11 ( class_Groups_Oone(T_b)
% 119.16/119.11 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 119.16/119.11 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__nat__1,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__1,axiom,
% 119.16/119.11 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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 119.16/119.11 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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__int__1,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Oring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__1,axiom,
% 119.16/119.11 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__neq__one,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Ozero__neq__one(T_a)
% 119.16/119.11 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_one__neq__zero,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Ozero__neq__one(T_a)
% 119.16/119.11 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__int,axiom,
% 119.16/119.11 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult_Ocomm__neutral,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Ocomm__monoid__mult(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult__1__right,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult__1,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Ocomm__monoid__mult(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult__1__left,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__one,axiom,
% 119.16/119.11 ! [V_n,T_a] :
% 119.16/119.11 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__0__neq__1,axiom,
% 119.16/119.11 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 119.16/119.11 ! [V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__one__right,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__1,axiom,
% 119.16/119.11 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__1__eq__mult__iff,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2] :
% 119.16/119.11 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 119.16/119.11 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 119.16/119.11 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__1__right,axiom,
% 119.16/119.11 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__eq__1__iff,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2] :
% 119.16/119.11 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 119.16/119.11 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 119.16/119.11 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__1__right,axiom,
% 119.16/119.11 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zmult__1,axiom,
% 119.16/119.11 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 119.16/119.11
% 119.16/119.11 fof(fact_one__less__nat__eq,axiom,
% 119.16/119.11 ! [V_z_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__0,axiom,
% 119.16/119.11 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 119.16/119.11 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_eq__nat__nat__iff,axiom,
% 119.16/119.11 ! [V_z_H_2,V_z_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 119.16/119.11 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 119.16/119.11 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 119.16/119.11 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 119.16/119.11 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_all__nat,axiom,
% 119.16/119.11 ! [V_P_2] :
% 119.16/119.11 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.11 <=> ! [B_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.16/119.11 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_ex__nat,axiom,
% 119.16/119.11 ! [V_P_2] :
% 119.16/119.11 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.11 <=> ? [B_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.16/119.11 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__le__one,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => 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))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_not__one__le__zero,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ~ 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))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__less__one,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_not__one__less__zero,axiom,
% 119.16/119.11 ! [T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_less__1__mult,axiom,
% 119.16/119.11 ! [V_n,V_m,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 119.16/119.11 => 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))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_one__le__power,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__inject__exp,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_b)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 119.16/119.11 => ( 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)
% 119.16/119.11 <=> V_m_2 = V_na_2 ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 119.16/119.11 ! [V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__0,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Power_Opower(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_One__nat__def,axiom,
% 119.16/119.11 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult__eq__self__implies__10,axiom,
% 119.16/119.11 ! [V_n,V_m] :
% 119.16/119.11 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 119.16/119.11 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 119.16/119.11 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 119.16/119.11 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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__0__less__1,axiom,
% 119.16/119.11 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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__0__iff,axiom,
% 119.16/119.11 ! [V_i_2] :
% 119.16/119.11 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__le__0,axiom,
% 119.16/119.11 ! [V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.11 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zless__nat__conj,axiom,
% 119.16/119.11 ! [V_z_2,V_w_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 119.16/119.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mono__iff,axiom,
% 119.16/119.11 ! [V_w_2,V_z_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__0__le,axiom,
% 119.16/119.11 ! [V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__eq__iff,axiom,
% 119.16/119.11 ! [V_z_2,V_m_2] :
% 119.16/119.11 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 119.16/119.11 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 119.16/119.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__nat__eq,axiom,
% 119.16/119.11 ! [V_z] :
% 119.16/119.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 119.16/119.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => 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) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zless__nat__eq__int__zless,axiom,
% 119.16/119.11 ! [V_z_2,V_m_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 119.16/119.11 <=> 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult__left__le__one__le,axiom,
% 119.16/119.11 ! [V_y,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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)) ) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_mult__right__le__one__le,axiom,
% 119.16/119.11 ! [V_y,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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)) ) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__less__power__Suc,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => 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)))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__gt1__lemma,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => 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)))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__0__left,axiom,
% 119.16/119.11 ! [V_n,T_a] :
% 119.16/119.11 ( ( class_Power_Opower(T_a)
% 119.16/119.11 & class_Rings_Osemiring__0(T_a) )
% 119.16/119.11 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.11 => 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) )
% 119.16/119.11 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.11 => 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) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__gt1,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => 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)))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__strict__increasing__iff,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_b)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__less__imp__less__exp,axiom,
% 119.16/119.11 ! [V_n,V_m,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__strict__increasing,axiom,
% 119.16/119.11 ! [V_a,V_N,V_n,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => 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))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__increasing,axiom,
% 119.16/119.11 ! [V_a,V_N,V_n,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 119.16/119.11 => 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))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__one__le__iff__zero__less,axiom,
% 119.16/119.11 ! [V_z_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__Suc0__eq__1,axiom,
% 119.16/119.11 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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_pos__zmult__eq__1__iff,axiom,
% 119.16/119.11 ! [V_na_2,V_m_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 119.16/119.11 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 119.16/119.11 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 119.16/119.11 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__power__power,axiom,
% 119.16/119.11 ! [T_b] :
% 119.16/119.11 ( class_Power_Opower(T_b)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zero__less__nat__eq,axiom,
% 119.16/119.11 ! [V_z_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__less__eq__zless,axiom,
% 119.16/119.11 ! [V_z_2,V_w_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__eq__iff2,axiom,
% 119.16/119.11 ! [V_w_2,V_m_2] :
% 119.16/119.11 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 119.16/119.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 119.16/119.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__eq__iff,axiom,
% 119.16/119.11 ! [V_m_2,V_w_2] :
% 119.16/119.11 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 119.16/119.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 119.16/119.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__le__eq__zle,axiom,
% 119.16/119.11 ! [V_z_2,V_w_2] :
% 119.16/119.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 119.16/119.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 119.16/119.11 => ( 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)))
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_split__nat,axiom,
% 119.16/119.11 ! [V_i_2,V_P_2] :
% 119.16/119.11 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 119.16/119.11 <=> ( ! [B_n] :
% 119.16/119.11 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 119.16/119.11 => hBOOL(hAPP(V_P_2,B_n)) )
% 119.16/119.11 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.11 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__distrib,axiom,
% 119.16/119.11 ! [V_z_H,V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 119.16/119.11 ! [V_y,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.11 => 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)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_of__nat__nat,axiom,
% 119.16/119.11 ! [V_z,T_a] :
% 119.16/119.11 ( class_Rings_Oring__1(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => 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) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_power__Suc__less,axiom,
% 119.16/119.11 ! [V_n,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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))) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_transfer__morphism__nat__int,axiom,
% 119.16/119.11 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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_nat__mult__distrib__neg,axiom,
% 119.16/119.11 ! [V_z_H,V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.11 => 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))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_convex__bound__lt,axiom,
% 119.16/119.11 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 119.16/119.11 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 119.16/119.11 => 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)) ) ) ) ) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 119.16/119.11 ! [V_y,V_x] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.11 => 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)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_sgn__pos,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.11 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_sgn__1__pos,axiom,
% 119.16/119.11 ! [V_a_2,T_b] :
% 119.16/119.11 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.11 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 119.16/119.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 119.16/119.11 ! [V_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_field__le__mult__one__interval,axiom,
% 119.16/119.11 ! [V_y,V_x,T_a] :
% 119.16/119.11 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.11 => ( ! [B_z] :
% 119.16/119.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 119.16/119.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 119.16/119.11 => 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)) ) )
% 119.16/119.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_int__eq__iff__number__of,axiom,
% 119.16/119.11 ! [V_v_2,V_m_2] :
% 119.16/119.11 ( 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)
% 119.16/119.11 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 119.16/119.11 & 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))) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_negative__zless__0,axiom,
% 119.16/119.11 ! [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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_negative__zle,axiom,
% 119.16/119.11 ! [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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_negative__zless,axiom,
% 119.16/119.11 ! [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))) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zadd__zminus__inverse2,axiom,
% 119.16/119.11 ! [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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_less__diff__conv,axiom,
% 119.16/119.11 ! [V_k_2,V_j_2,V_i_2] :
% 119.16/119.11 ( 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)))
% 119.16/119.11 <=> 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_add__diff__inverse,axiom,
% 119.16/119.11 ! [V_n,V_m] :
% 119.16/119.11 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.11 => 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 ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 119.16/119.11 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 119.16/119.11 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zadd__assoc,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 119.16/119.11 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_add__number__of__diff1,axiom,
% 119.16/119.11 ! [V_c,V_w,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_add__number__of__left,axiom,
% 119.16/119.11 ! [V_z,V_w,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_add__number__of__diff2,axiom,
% 119.16/119.11 ! [V_w,V_c,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_eq__number__of,axiom,
% 119.16/119.11 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.11 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.11 & class_Int_Oring__char__0(T_b) )
% 119.16/119.11 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 119.16/119.11 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_diff__number__of__eq,axiom,
% 119.16/119.11 ! [V_w,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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))) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_plus__numeral__code_I9_J,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_add__number__of__eq,axiom,
% 119.16/119.11 ! [V_w,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_number__of__reorient,axiom,
% 119.16/119.11 ! [V_x_2,V_w_2,T_b] :
% 119.16/119.11 ( class_Int_Onumber(T_b)
% 119.16/119.11 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 119.16/119.11 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 119.16/119.11 ! [V_d,V_c,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zadd__left__commute,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 119.16/119.11 ! [V_d,V_c,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 119.16/119.11 ! [V_y,V_x,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__ring__1(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zadd__commute,axiom,
% 119.16/119.11 ! [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) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 119.16/119.11 ! [V_c,V_a,T_a] :
% 119.16/119.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_number__of__diff,axiom,
% 119.16/119.11 ! [V_w,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_number__of__add,axiom,
% 119.16/119.11 ! [V_w,V_v,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zminus__zadd__distrib,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_number__of__minus,axiom,
% 119.16/119.11 ! [V_w,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_minus__numeral__code_I5_J,axiom,
% 119.16/119.11 ! [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)) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_arith__simps_I30_J,axiom,
% 119.16/119.11 ! [V_w,T_a] :
% 119.16/119.11 ( class_Int_Onumber__ring(T_a)
% 119.16/119.11 => 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)) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_zminus__zminus,axiom,
% 119.16/119.11 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 119.16/119.11
% 119.16/119.11 fof(fact_number__of__is__id,axiom,
% 119.16/119.11 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 119.16/119.11
% 119.16/119.11 fof(fact_diff__0,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_right__minus,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 119.16/119.11 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.11 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.11 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 119.16/119.11 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_left__minus,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.11 fof(fact_ab__left__minus,axiom,
% 119.16/119.11 ! [V_a,T_a] :
% 119.16/119.11 ( class_Groups_Oab__group__add(T_a)
% 119.16/119.11 => 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) ) ).
% 119.16/119.11
% 119.16/119.12 fof(fact_minus__unique,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__cancel2,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__cancel,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__commute,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__diff__left,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__add__inverse,axiom,
% 119.16/119.12 ! [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 ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__add__inverse2,axiom,
% 119.16/119.12 ! [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 ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__eq__diff__eq,axiom,
% 119.16/119.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oab__group__add(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 => ( V_a_2 = V_b_2
% 119.16/119.12 <=> V_c_2 = V_d_2 ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__right__imp__eq,axiom,
% 119.16/119.12 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.12 ( class_Groups_Ocancel__semigroup__add(T_a)
% 119.16/119.12 => ( 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)
% 119.16/119.12 => V_b = V_c ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__imp__eq,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 119.16/119.12 => ( 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)
% 119.16/119.12 => V_b = V_c ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__left__imp__eq,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ocancel__semigroup__add(T_a)
% 119.16/119.12 => ( 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)
% 119.16/119.12 => V_b = V_c ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__right__cancel,axiom,
% 119.16/119.12 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 119.16/119.12 ( class_Groups_Ocancel__semigroup__add(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> V_b_2 = V_c_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__left__cancel,axiom,
% 119.16/119.12 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ocancel__semigroup__add(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> V_b_2 = V_c_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oab__semigroup__add(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__diff__cancel,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__add__cancel,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__add__cancel,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__equal__iff__equal,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 119.16/119.12 <=> V_a_2 = V_b_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__equation__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 119.16/119.12 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__minus__cancel,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_equation__minus__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.12 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 119.16/119.12 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__minus__eq__add,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_ab__diff__minus,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oab__group__add(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__def,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__add,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__add__distrib,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oab__group__add(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__diff__eq,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oab__group__add(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn__sgn,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__minus,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__add__0,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_eq__add__iff2,axiom,
% 119.16/119.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oring(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> 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) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_eq__add__iff1,axiom,
% 119.16/119.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oring(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> 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 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_left__diff__distrib__number__of,axiom,
% 119.16/119.12 ! [V_v,V_b,V_a,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber(T_b)
% 119.16/119.12 & class_Rings_Oring(T_b) )
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_left__distrib__number__of,axiom,
% 119.16/119.12 ! [V_v,V_b,V_a,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber(T_b)
% 119.16/119.12 & class_Rings_Osemiring(T_b) )
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__number__of__mult,axiom,
% 119.16/119.12 ! [V_z,V_w,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_right__diff__distrib__number__of,axiom,
% 119.16/119.12 ! [V_c,V_b,V_v,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber(T_b)
% 119.16/119.12 & class_Rings_Oring(T_b) )
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_right__distrib__number__of,axiom,
% 119.16/119.12 ! [V_c,V_b,V_v,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber(T_b)
% 119.16/119.12 & class_Rings_Osemiring(T_b) )
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__diff__right,axiom,
% 119.16/119.12 ! [V_i,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__diff__conv,axiom,
% 119.16/119.12 ! [V_i_2,V_k_2,V_j_2] :
% 119.16/119.12 ( 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))
% 119.16/119.12 <=> 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add__diff,axiom,
% 119.16/119.12 ! [V_m,V_n,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add__diff__inverse,axiom,
% 119.16/119.12 ! [V_m,V_n] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__diff__assoc,axiom,
% 119.16/119.12 ! [V_i,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__diff__conv2,axiom,
% 119.16/119.12 ! [V_i_2,V_j_2,V_k_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add__diff__inverse2,axiom,
% 119.16/119.12 ! [V_m,V_n] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__imp__diff__is__add,axiom,
% 119.16/119.12 ! [V_k_2,V_j_2,V_i_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 119.16/119.12 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__add__assoc,axiom,
% 119.16/119.12 ! [V_i,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__diff__assoc2,axiom,
% 119.16/119.12 ! [V_i,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__add__assoc2,axiom,
% 119.16/119.12 ! [V_i,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__nat__add,axiom,
% 119.16/119.12 ! [V_n,V_m,T_a] :
% 119.16/119.12 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__int__diff,axiom,
% 119.16/119.12 ! [V_z,V_w,T_a] :
% 119.16/119.12 ( class_Rings_Oring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__int__left,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__int,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__int__minus,axiom,
% 119.16/119.12 ! [V_z,T_a] :
% 119.16/119.12 ( class_Rings_Oring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__int__number__of__eq,axiom,
% 119.16/119.12 ! [V_v,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__int__add,axiom,
% 119.16/119.12 ! [V_z,V_w,T_a] :
% 119.16/119.12 ( class_Rings_Oring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add__iff1,axiom,
% 119.16/119.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oordered__ring(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add__iff2,axiom,
% 119.16/119.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oordered__ring(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__add__iff1,axiom,
% 119.16/119.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oordered__ring(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__add__iff2,axiom,
% 119.16/119.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oordered__ring(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__nat__diff,axiom,
% 119.16/119.12 ! [V_m,V_n,T_a] :
% 119.16/119.12 ( class_Rings_Oring__1(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.12 => 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__eq__if,axiom,
% 119.16/119.12 ! [V_n,V_m] :
% 119.16/119.12 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 119.16/119.12 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 => 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__diff__split,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,V_P_2] :
% 119.16/119.12 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 119.16/119.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.12 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 119.16/119.12 & ! [B_d] :
% 119.16/119.12 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 119.16/119.12 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__diff__split__asm,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,V_P_2] :
% 119.16/119.12 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 119.16/119.12 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.12 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 119.16/119.12 | ? [B_d] :
% 119.16/119.12 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 119.16/119.12 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__Suc__diff__eq2,axiom,
% 119.16/119.12 ! [V_m,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__Suc__diff__eq1,axiom,
% 119.16/119.12 ! [V_m,V_j,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_mult__eq__if,axiom,
% 119.16/119.12 ! [V_n,V_m] :
% 119.16/119.12 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.12 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 => 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__le__add__iff1,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__diff__add__eq1,axiom,
% 119.16/119.12 ! [V_n,V_m,V_u,V_i,V_j] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__eq__add__iff1,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> 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 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__le__add__iff2,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__diff__add__eq2,axiom,
% 119.16/119.12 ! [V_n,V_m,V_u,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__eq__add__iff2,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> 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) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__eq__diff__less__eq,axiom,
% 119.16/119.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__0__right,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__self,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_eq__iff__diff__eq__0,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oab__group__add(T_b)
% 119.16/119.12 => ( V_a_2 = V_b_2
% 119.16/119.12 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_right__minus__eq,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 <=> V_a_2 = V_b_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__eq__diff__less,axiom,
% 119.16/119.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__minus__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__le__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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))
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__le__iff__le,axiom,
% 119.16/119.12 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__imp__neg__le,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__zero,axiom,
% 119.16/119.12 ! [T_a] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_a)
% 119.16/119.12 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__0__equal__iff__equal,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.12 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 119.16/119.12 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_equal__neg__zero,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__equal__0__iff__equal,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Ogroup__add(T_b)
% 119.16/119.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__equal__zero,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__minus__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__less__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__less__iff__less,axiom,
% 119.16/119.12 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__mult__right,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Oring(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__mult__left,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Oring(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__mult__commute,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Oring(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__mult__minus,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Oring(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_square__eq__iff,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Oidom(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> ( V_a_2 = V_b_2
% 119.16/119.12 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__cancel__right,axiom,
% 119.16/119.12 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__cancel__left,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__right__mono,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__left__mono,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__mono,axiom,
% 119.16/119.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__imp__le__right,axiom,
% 119.16/119.12 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__imp__le__left,axiom,
% 119.16/119.12 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__0__left,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Omonoid__add(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__0,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ocomm__monoid__add(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_double__zero__sym,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__0__right,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Omonoid__add(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add_Ocomm__neutral,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Groups_Ocomm__monoid__add(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__0__iff,axiom,
% 119.16/119.12 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 119.16/119.12 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_double__eq__0__iff,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__cancel__right,axiom,
% 119.16/119.12 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__cancel__left,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__strict__right__mono,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__strict__left__mono,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__strict__mono,axiom,
% 119.16/119.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__imp__less__right,axiom,
% 119.16/119.12 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__imp__less__left,axiom,
% 119.16/119.12 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__class_Odistrib,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_combine__common__factor,axiom,
% 119.16/119.12 ! [V_c,V_b,V_e,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Osemiring(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 119.16/119.12 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_crossproduct__noteq,axiom,
% 119.16/119.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 119.16/119.12 => ( ( V_a_2 != V_b_2
% 119.16/119.12 & V_c_2 != V_d_2 )
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 119.16/119.12 ! [V_b,V_m,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_crossproduct__eq,axiom,
% 119.16/119.12 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 119.16/119.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 119.16/119.12 => ( 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))
% 119.16/119.12 <=> ( V_w_2 = V_x_2
% 119.16/119.12 | V_y_2 = V_z_2 ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diffs0__imp__equal,axiom,
% 119.16/119.12 ! [V_n,V_m] :
% 119.16/119.12 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 => V_m = V_n ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__self__eq__0,axiom,
% 119.16/119.12 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__nat_Odiff__0,axiom,
% 119.16/119.12 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__0__eq__0,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zminus__0,axiom,
% 119.16/119.12 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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Suc__diff__diff,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__Suc__Suc,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__Suc__1,axiom,
% 119.16/119.12 ! [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 ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__less__mono2,axiom,
% 119.16/119.12 ! [V_l,V_n,V_m] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__imp__diff__less,axiom,
% 119.16/119.12 ! [V_n,V_k,V_j] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zsgn__def,axiom,
% 119.16/119.12 ! [V_i] :
% 119.16/119.12 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.12 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 119.16/119.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 119.16/119.12 => 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)) ) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__le__self,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__le__mono2,axiom,
% 119.16/119.12 ! [V_l,V_n,V_m] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__le__mono,axiom,
% 119.16/119.12 ! [V_l,V_n,V_m] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__diff__cancel,axiom,
% 119.16/119.12 ! [V_n,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 119.16/119.12 => 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 ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_eq__diff__iff,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> V_m_2 = V_na_2 ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Nat_Odiff__diff__eq,axiom,
% 119.16/119.12 ! [V_n,V_m,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 119.16/119.12 => 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) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__diff__iff,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__eq__number__of__int__code,axiom,
% 119.16/119.12 ! [V_l_2,V_k_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__0,axiom,
% 119.16/119.12 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__0__right,axiom,
% 119.16/119.12 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 119.16/119.12
% 119.16/119.12 fof(fact_odd__nonzero,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__eq__self__zero,axiom,
% 119.16/119.12 ! [V_n,V_m] :
% 119.16/119.12 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 119.16/119.12 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__is__0,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Nat_Oadd__0__right,axiom,
% 119.16/119.12 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 119.16/119.12
% 119.16/119.12 fof(fact_plus__nat_Oadd__0,axiom,
% 119.16/119.12 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__number__of__int__code,axiom,
% 119.16/119.12 ! [V_l_2,V_k_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__mult__distrib,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__mult__distrib2,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__Suc__shift,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__Suc,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__Suc__right,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Suc__eq__plus1__left,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Suc__eq__plus1,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zmult__zminus,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_termination__basic__simps_I1_J,axiom,
% 119.16/119.12 ! [V_z,V_y,V_x] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_termination__basic__simps_I2_J,axiom,
% 119.16/119.12 ! [V_y,V_z,V_x] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__lessD1,axiom,
% 119.16/119.12 ! [V_k,V_j,V_i] :
% 119.16/119.12 ( 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))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__add__eq__less,axiom,
% 119.16/119.12 ! [V_n,V_m,V_l,V_k] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 119.16/119.12 => ( 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)
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__mono,axiom,
% 119.16/119.12 ! [V_l,V_k,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__mono1,axiom,
% 119.16/119.12 ! [V_k,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_trans__less__add2,axiom,
% 119.16/119.12 ! [V_m,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_trans__less__add1,axiom,
% 119.16/119.12 ! [V_m,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__add__left__cancel__less,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_not__add__less2,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_not__add__less1,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__left__mono,axiom,
% 119.16/119.12 ! [V_k,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__strict__right__mono,axiom,
% 119.16/119.12 ! [V_k,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zless__add1__eq,axiom,
% 119.16/119.12 ! [V_z_2,V_w_2] :
% 119.16/119.12 ( 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))))
% 119.16/119.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 119.16/119.12 | V_w_2 = V_z_2 ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add2,axiom,
% 119.16/119.12 ! [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))) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__add1,axiom,
% 119.16/119.12 ! [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))) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__iff__add,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.12 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__add__left__cancel__le,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_trans__le__add1,axiom,
% 119.16/119.12 ! [V_m,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_trans__le__add2,axiom,
% 119.16/119.12 ! [V_m,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__mono1,axiom,
% 119.16/119.12 ! [V_k,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__mono,axiom,
% 119.16/119.12 ! [V_l,V_k,V_j,V_i] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__leD2,axiom,
% 119.16/119.12 ! [V_n,V_k,V_m] :
% 119.16/119.12 ( 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))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__leD1,axiom,
% 119.16/119.12 ! [V_n,V_k,V_m] :
% 119.16/119.12 ( 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))
% 119.16/119.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__leE,axiom,
% 119.16/119.12 ! [V_n,V_k,V_m] :
% 119.16/119.12 ( 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))
% 119.16/119.12 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.12 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_termination__basic__simps_I4_J,axiom,
% 119.16/119.12 ! [V_y,V_z,V_x] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_termination__basic__simps_I3_J,axiom,
% 119.16/119.12 ! [V_z,V_y,V_x] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 119.16/119.12 => 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))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_times__numeral__code_I5_J,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__mult__distrib,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__mult__distrib2,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_left__add__mult__distrib,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_of__nat__number__of__lemma,axiom,
% 119.16/119.12 ! [V_v,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => ( ( 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)))
% 119.16/119.12 => 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) )
% 119.16/119.12 & ( ~ 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)))
% 119.16/119.12 => 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) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__zmult__distrib2,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__zmult__distrib,axiom,
% 119.16/119.12 ! [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)) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_number__of__eq,axiom,
% 119.16/119.12 ! [V_k,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__less__add__iff1,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__less__add__iff2,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 119.16/119.12 ! [V_y,V_x] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.12 => 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_nat__add__distrib,axiom,
% 119.16/119.12 ! [V_z_H,V_z] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 119.16/119.12 => 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn__if,axiom,
% 119.16/119.12 ! [V_x,T_a] :
% 119.16/119.12 ( class_Groups_Osgn__if(T_a)
% 119.16/119.12 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 119.16/119.12 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 119.16/119.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn__1__neg,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.12 => ( 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))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn__neg,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn0,axiom,
% 119.16/119.12 ! [T_a] :
% 119.16/119.12 ( class_Groups_Osgn__if(T_a)
% 119.16/119.12 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn__0__0,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.12 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sgn__times,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__iff__diff__le__0,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__iff__diff__less__0,axiom,
% 119.16/119.12 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 119.16/119.12 <=> 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__0__le__iff__le,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__minus__self__iff,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__le__0__iff__le,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_minus__le__self__iff,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__0__less__iff__less,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__minus__self__iff,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__less__0__iff__less,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_neg__less__nonneg,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_int__number__of__def,axiom,
% 119.16/119.12 ! [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) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__number__of__eq__not__less,axiom,
% 119.16/119.12 ! [V_w_2,V_v_2,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber(T_b)
% 119.16/119.12 & class_Orderings_Olinorder(T_b) )
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> ~ 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_square__eq__1__iff,axiom,
% 119.16/119.12 ! [V_x_2,T_b] :
% 119.16/119.12 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 119.16/119.12 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 119.16/119.12 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 119.16/119.12 ! [V_x,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__ring__1(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__nonneg__nonneg,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__nonneg__eq__0__iff,axiom,
% 119.16/119.12 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 119.16/119.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__increasing,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__increasing2,axiom,
% 119.16/119.12 ! [V_a,V_b,V_c,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__nonpos__nonpos,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_le__number__of,axiom,
% 119.16/119.12 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.12 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__less__le__mono,axiom,
% 119.16/119.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__le__less__mono,axiom,
% 119.16/119.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__pos__pos,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_pos__add__strict,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__neg__neg,axiom,
% 119.16/119.12 ! [V_b,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.12 => 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))) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_even__less__0__iff,axiom,
% 119.16/119.12 ! [V_a_2,T_b] :
% 119.16/119.12 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__number__of,axiom,
% 119.16/119.12 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.12 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.12 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_sum__squares__eq__zero__iff,axiom,
% 119.16/119.12 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.12 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.16/119.12 => ( 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)
% 119.16/119.12 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.12 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__scale__eq__noteq,axiom,
% 119.16/119.12 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 119.16/119.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 119.16/119.12 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.12 => ( ( V_a = V_b
% 119.16/119.12 & V_c != V_d )
% 119.16/119.12 => 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)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__add__one,axiom,
% 119.16/119.12 ! [V_a,T_a] :
% 119.16/119.12 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.12 => 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)))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_number__of__mult,axiom,
% 119.16/119.12 ! [V_w,V_v,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_arith__simps_I32_J,axiom,
% 119.16/119.12 ! [V_w,V_v,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_mult__number__of__left,axiom,
% 119.16/119.12 ! [V_z,V_w,V_v,T_a] :
% 119.16/119.12 ( class_Int_Onumber__ring(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 119.16/119.12 ! [V_m,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 119.16/119.12 ! [V_a,V_m,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 119.16/119.12 ! [V_m,V_a,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__less,axiom,
% 119.16/119.12 ! [V_m,V_n] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 119.16/119.12 => 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)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zero__less__diff,axiom,
% 119.16/119.12 ! [V_m_2,V_na_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__less__Suc,axiom,
% 119.16/119.12 ! [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))) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__is__0__eq_H,axiom,
% 119.16/119.12 ! [V_n,V_m] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__is__0__eq,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Suc__diff__le,axiom,
% 119.16/119.12 ! [V_m,V_n] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__diff__iff,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 119.16/119.12 => ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_diff__less__mono,axiom,
% 119.16/119.12 ! [V_c,V_b,V_a] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_negative__eq__positive,axiom,
% 119.16/119.12 ! [V_m_2,V_na_2] :
% 119.16/119.12 ( 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)
% 119.16/119.12 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_not__int__zless__negative,axiom,
% 119.16/119.12 ! [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)))) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_one__is__add,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( 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)
% 119.16/119.12 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 119.16/119.12 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.12 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__is__1,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( 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))
% 119.16/119.12 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 119.16/119.12 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.12 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.12 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_add__gr__0,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 119.16/119.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 119.16/119.12 ! [V_y,V_x] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.12 => 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))) ) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__add__Suc1,axiom,
% 119.16/119.12 ! [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)))) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__add__Suc2,axiom,
% 119.16/119.12 ! [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)))) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_less__iff__Suc__add,axiom,
% 119.16/119.12 ! [V_na_2,V_m_2] :
% 119.16/119.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.12 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_odd__less__0,axiom,
% 119.16/119.12 ! [V_z_2] :
% 119.16/119.12 ( 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)))
% 119.16/119.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_power__add,axiom,
% 119.16/119.12 ! [V_n,V_m,V_a,T_a] :
% 119.16/119.12 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 119.16/119.12 ! [V_q,V_p,V_x,T_a] :
% 119.16/119.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.12 => 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)) ) ).
% 119.16/119.12
% 119.16/119.12 fof(fact_zadd__zless__mono,axiom,
% 119.16/119.12 ! [V_z,V_z_H,V_w,V_w_H] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zle__add1__eq__le,axiom,
% 119.16/119.13 ! [V_z_2,V_w_2] :
% 119.16/119.13 ( 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))))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add1__zle__eq,axiom,
% 119.16/119.13 ! [V_z_2,V_w_2] :
% 119.16/119.13 ( 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))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zless__imp__add1__zle,axiom,
% 119.16/119.13 ! [V_z,V_w] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_int__Suc,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__Suc__right,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__Suc,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zle__iff__zadd,axiom,
% 119.16/119.13 ! [V_z_2,V_w_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 119.16/119.13 <=> ? [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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zpower__zadd__distrib,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_of__int__of__nat,axiom,
% 119.16/119.13 ! [V_k,T_a] :
% 119.16/119.13 ( class_Rings_Oring__1(T_a)
% 119.16/119.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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)))) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add__pos__nonneg,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add__nonneg__pos,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add__strict__increasing,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add__strict__increasing2,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add__neg__nonpos,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_add__nonpos__neg,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_sum__squares__le__zero__iff,axiom,
% 119.16/119.13 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.13 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_sum__squares__ge__zero,axiom,
% 119.16/119.13 ! [V_y,V_x,T_a] :
% 119.16/119.13 ( class_Rings_Olinordered__ring(T_a)
% 119.16/119.13 => 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)))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_sum__squares__gt__zero__iff,axiom,
% 119.16/119.13 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.13 ( class_Rings_Olinordered__ring__strict(T_b)
% 119.16/119.13 => ( 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))))
% 119.16/119.13 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.13 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__sum__squares__lt__zero,axiom,
% 119.16/119.13 ! [V_y,V_x,T_a] :
% 119.16/119.13 ( class_Rings_Olinordered__ring(T_a)
% 119.16/119.13 => ~ 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_power__minus,axiom,
% 119.16/119.13 ! [V_n,V_a,T_a] :
% 119.16/119.13 ( class_Rings_Oring__1(T_a)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zero__less__two,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.13 => 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)))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_diff__Suc__less,axiom,
% 119.16/119.13 ! [V_i,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Suc__pred,axiom,
% 119.16/119.13 ! [V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Suc__diff__1,axiom,
% 119.16/119.13 ! [V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Suc__pred_H,axiom,
% 119.16/119.13 ! [V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_of__nat__Suc,axiom,
% 119.16/119.13 ! [V_m,T_a] :
% 119.16/119.13 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_int__zle__neg,axiom,
% 119.16/119.13 ! [V_m_2,V_na_2] :
% 119.16/119.13 ( 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))))
% 119.16/119.13 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_negative__zle__0,axiom,
% 119.16/119.13 ! [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))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_sgn__greater,axiom,
% 119.16/119.13 ! [V_a_2,T_b] :
% 119.16/119.13 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_sgn__less,axiom,
% 119.16/119.13 ! [V_a_2,T_b] :
% 119.16/119.13 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__zminus__int,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_le__imp__0__less,axiom,
% 119.16/119.13 ! [V_z] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zless__iff__Suc__zadd,axiom,
% 119.16/119.13 ! [V_z_2,V_w_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 119.16/119.13 <=> ? [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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_power__eq__if,axiom,
% 119.16/119.13 ! [V_p,V_m] :
% 119.16/119.13 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 119.16/119.13 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 => 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)))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_convex__bound__le,axiom,
% 119.16/119.13 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 119.16/119.13 ( class_Rings_Olinordered__semiring__1(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 119.16/119.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 119.16/119.13 => 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)) ) ) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__zle__0__negative,axiom,
% 119.16/119.13 ! [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))))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_self__quotient__aux2,axiom,
% 119.16/119.13 ! [V_q,V_r,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( 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))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_self__quotient__aux1,axiom,
% 119.16/119.13 ! [V_q,V_r,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( 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))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_q__pos__lemma,axiom,
% 119.16/119.13 ! [V_r_H,V_q_H,V_b_H] :
% 119.16/119.13 ( 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)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_q__neg__lemma,axiom,
% 119.16/119.13 ! [V_r_H,V_q_H,V_b_H] :
% 119.16/119.13 ( 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)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_unique__quotient__lemma,axiom,
% 119.16/119.13 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 119.16/119.13 ( 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)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__mono2__lemma,axiom,
% 119.16/119.13 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 119.16/119.13 ( 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)
% 119.16/119.13 => ( 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)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_unique__quotient__lemma__neg,axiom,
% 119.16/119.13 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 119.16/119.13 ( 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)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 119.16/119.13 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 119.16/119.13 ( 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)
% 119.16/119.13 => ( 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)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__aux__def,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_compl__le__compl__iff,axiom,
% 119.16/119.13 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.13 ( class_Lattices_Oboolean__algebra(T_b)
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__add__right__cancel,axiom,
% 119.16/119.13 ! [V_na_2,V_k_2,V_m_2] :
% 119.16/119.13 ( 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)
% 119.16/119.13 <=> V_m_2 = V_na_2 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__add__left__cancel,axiom,
% 119.16/119.13 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.13 ( 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)
% 119.16/119.13 <=> V_m_2 = V_na_2 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__add__assoc,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__add__left__commute,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__add__commute,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Compl__subset__Compl__iff,axiom,
% 119.16/119.13 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.13 ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Compl__anti__mono,axiom,
% 119.16/119.13 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Diff__subset,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Diff__mono,axiom,
% 119.16/119.13 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_double__diff,axiom,
% 119.16/119.13 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.13 => 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 ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiff__zmult__distrib,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiff__zmult__distrib2,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_less__bin__lemma,axiom,
% 119.16/119.13 ! [V_l_2,V_k_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 119.16/119.13 <=> 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_diff__int__def,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_diff__int__def__symmetric,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__number__of__def,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__number__of,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_tsub__eq,axiom,
% 119.16/119.13 ! [V_x,V_y] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 119.16/119.13 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zle__diff1__eq,axiom,
% 119.16/119.13 ! [V_z_2,V_w_2] :
% 119.16/119.13 ( 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))))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiff__int,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_minus__numeral__code_I6_J,axiom,
% 119.16/119.13 ! [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))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__left__idem,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__idem,axiom,
% 119.16/119.13 ! [V_x,T_a] :
% 119.16/119.13 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 119.16/119.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_times_Oidem,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 119.16/119.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_minus__apply,axiom,
% 119.16/119.13 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.13 ( class_Groups_Ominus(T_b)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_compl__eq__compl__iff,axiom,
% 119.16/119.13 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.13 ( class_Lattices_Oboolean__algebra(T_b)
% 119.16/119.13 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 119.16/119.13 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_uminus__apply,axiom,
% 119.16/119.13 ! [V_x_2,V_A_2,T_c,T_b] :
% 119.16/119.13 ( class_Groups_Ouminus(T_b)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_double__compl,axiom,
% 119.16/119.13 ! [V_x,T_a] :
% 119.16/119.13 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.13 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_tsub__def,axiom,
% 119.16/119.13 ! [V_x,V_y] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 119.16/119.13 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 119.16/119.13 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__diff__distrib,axiom,
% 119.16/119.13 ! [V_z,V_z_H] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_expand__Suc,axiom,
% 119.16/119.13 ! [V_v] :
% 119.16/119.13 ( 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)))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_compl__mono,axiom,
% 119.16/119.13 ! [V_y,V_x,T_a] :
% 119.16/119.13 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiff__int__split,axiom,
% 119.16/119.13 ! [V_y_2,V_x_2,V_P_2] :
% 119.16/119.13 ( 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))))
% 119.16/119.13 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 119.16/119.13 => 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)))) )
% 119.16/119.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.13 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_power__nat__number__of__number__of,axiom,
% 119.16/119.13 ! [V_w,V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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)) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_power__nat__number__of,axiom,
% 119.16/119.13 ! [V_n,V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_int__power__div__base,axiom,
% 119.16/119.13 ! [V_k,V_m] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 119.16/119.13 => 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)))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_negD,axiom,
% 119.16/119.13 ! [V_x] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ? [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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_ex__least__nat__less,axiom,
% 119.16/119.13 ! [V_na_2,V_P_2] :
% 119.16/119.13 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 119.16/119.13 => ( hBOOL(hAPP(V_P_2,V_na_2))
% 119.16/119.13 => ? [B_k] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 119.16/119.13 & ! [B_i] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 119.16/119.13 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 119.16/119.13 & 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)))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_of__nat__number__of__eq,axiom,
% 119.16/119.13 ! [V_v,T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_eq__number__of__eq,axiom,
% 119.16/119.13 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_b)
% 119.16/119.13 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 119.16/119.13 <=> 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)))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Diff__idemp,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Compl__eq__Compl__iff,axiom,
% 119.16/119.13 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.13 ( 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)
% 119.16/119.13 <=> V_A_2 = V_B_2 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_double__complement,axiom,
% 119.16/119.13 ! [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 ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zero,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zminus2,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zminus__zminus,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__0,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__by__0,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__by__1,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__neg__0,axiom,
% 119.16/119.13 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__neg__int,axiom,
% 119.16/119.13 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__neg__1,axiom,
% 119.16/119.13 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_iszero__0,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.13 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_iszero__def,axiom,
% 119.16/119.13 ! [V_z_2,T_b] :
% 119.16/119.13 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.13 => ( c_Int_Oiszero(T_b,V_z_2)
% 119.16/119.13 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 119.16/119.13 ! [V_y,V_x] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__iszero__1,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.13 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 119.16/119.13 ! [V_a_2,V_b_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 119.16/119.13 ! [V_a_2,V_b_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__neg__pos__less0,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__self,axiom,
% 119.16/119.13 ! [V_a] :
% 119.16/119.13 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__mult1,axiom,
% 119.16/119.13 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__mult2,axiom,
% 119.16/119.13 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__self1__is__id,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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 ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__self2__is__id,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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 ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__mult1__if,axiom,
% 119.16/119.13 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__self,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__neg__eq__ge__0,axiom,
% 119.16/119.13 ! [V_x_2] :
% 119.16/119.13 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__def,axiom,
% 119.16/119.13 ! [V_Z_2] :
% 119.16/119.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__nat,axiom,
% 119.16/119.13 ! [V_z] :
% 119.16/119.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 119.16/119.13 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_not__neg__nat,axiom,
% 119.16/119.13 ! [V_z] :
% 119.16/119.13 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 119.16/119.13 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__eq__0__iff,axiom,
% 119.16/119.13 ! [V_k_2,V_i_2] :
% 119.16/119.13 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 119.16/119.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 119.16/119.13 ! [V_a_2,V_b_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 119.16/119.13 ! [V_i_2,V_k_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 119.16/119.13 ! [V_b_2,V_a_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__mono2,axiom,
% 119.16/119.13 ! [V_b,V_b_H,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__nonneg__neg__le0,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__pos__pos__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 119.16/119.13 ! [V_a_2,V_b_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__nonpos__pos__le0,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__mono2__neg,axiom,
% 119.16/119.13 ! [V_b,V_b_H,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__neg__neg__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__mono1,axiom,
% 119.16/119.13 ! [V_b,V_a_H,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__mono1__neg,axiom,
% 119.16/119.13 ! [V_b,V_a_H,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_int__div__less__self,axiom,
% 119.16/119.13 ! [V_k,V_x] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zmult2__eq,axiom,
% 119.16/119.13 ! [V_b,V_a,V_c] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__self1,axiom,
% 119.16/119.13 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__self2,axiom,
% 119.16/119.13 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__add__self1,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__add__self2,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__imp__number__of__eq__0,axiom,
% 119.16/119.13 ! [V_v] :
% 119.16/119.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__zminus__int,axiom,
% 119.16/119.13 ! [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))))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_eq__nat__number__of,axiom,
% 119.16/119.13 ! [V_v_H_2,V_v_2] :
% 119.16/119.13 ( 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)
% 119.16/119.13 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 119.16/119.13 => 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))) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 119.16/119.13 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 119.16/119.13 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 119.16/119.13 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__number__of__add__left,axiom,
% 119.16/119.13 ! [V_k,V_v_H,V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 119.16/119.13 => 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) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_int__nat__number__of,axiom,
% 119.16/119.13 ! [V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__zdiv,axiom,
% 119.16/119.13 ! [V_k_2,V_na_2,V_P_2] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 119.16/119.13 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 119.16/119.13 => ! [B_i] :
% 119.16/119.13 ( ? [B_j] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 119.16/119.13 & 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) )
% 119.16/119.13 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 119.16/119.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ! [B_i] :
% 119.16/119.13 ( ? [B_j] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 & 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) )
% 119.16/119.13 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_divmod__int__rel__div__eq,axiom,
% 119.16/119.13 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 119.16/119.13 ( 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)
% 119.16/119.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 119.16/119.13 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Suc__nat__number__of__add,axiom,
% 119.16/119.13 ! [V_n,V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_z3div__def,axiom,
% 119.16/119.13 ! [V_k,V_l] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 119.16/119.13 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Suc__nat__number__of,axiom,
% 119.16/119.13 ! [V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_one__div__nat__number__of,axiom,
% 119.16/119.13 ! [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))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_decr__mult__lemma,axiom,
% 119.16/119.13 ! [V_k_2,V_P_2,V_d_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 119.16/119.13 => ( ! [B_x] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.13 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 119.16/119.13 => ! [B_x] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.13 => 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)))) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_incr__mult__lemma,axiom,
% 119.16/119.13 ! [V_k_2,V_P_2,V_d_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 119.16/119.13 => ( ! [B_x] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.13 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 119.16/119.13 => ! [B_x] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.13 => 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)))) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__pos__neg__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__neg__lemma,axiom,
% 119.16/119.13 ! [V_na_2,V_P_2,V_k_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> ! [B_i,B_j] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 & 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) )
% 119.16/119.13 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_diff__bin__simps_I2_J,axiom,
% 119.16/119.13 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mod__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__minus1__right,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__0,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__by__0,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__self,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__add__self2,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__add__self1,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__add__right__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__add__left__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__add__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__simps_I2_J,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__simps_I1_J,axiom,
% 119.16/119.13 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__add__cong,axiom,
% 119.16/119.13 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 119.16/119.13 => 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) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__right__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__left__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__mult1,axiom,
% 119.16/119.13 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__mult2,axiom,
% 119.16/119.13 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__simps_I4_J,axiom,
% 119.16/119.13 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__cong,axiom,
% 119.16/119.13 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 119.16/119.13 => 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) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__diff__cong,axiom,
% 119.16/119.13 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Oring__div(T_a)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 119.16/119.13 => 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) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__diff__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Oring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__diff__left__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Oring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__diff__right__eq,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Oring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__minus__cong,axiom,
% 119.16/119.13 ! [V_a_H,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Oring__div(T_a)
% 119.16/119.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__minus__eq,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Oring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__le__dividend,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__le__mono,axiom,
% 119.16/119.13 ! [V_k,V_n,V_m] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult2__eq,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__self,axiom,
% 119.16/119.13 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zero,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_rel__simps_I24_J,axiom,
% 119.16/119.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_rel__simps_I7_J,axiom,
% 119.16/119.13 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__simps_I3_J,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zmult1__eq,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiff__zmod__right,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiff__zmod__left,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zminus__zmod,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zminus__zminus,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zminus2,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zpower__zmod,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__self2__is__0,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__self1__is__0,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__self2,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__mult__self1,axiom,
% 119.16/119.13 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__by__1,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__div__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__1,axiom,
% 119.16/119.13 ! [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 ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__less,axiom,
% 119.16/119.13 ! [V_n,V_m] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__mult__div__cancel__disj,axiom,
% 119.16/119.13 ! [V_n,V_m,V_k] :
% 119.16/119.13 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 119.16/119.13 ! [V_y,V_x] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__le__nonneg__dividend,axiom,
% 119.16/119.13 ! [V_k,V_m] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__mod__bound,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__mod__bound,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__int,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__eq__0__iff,axiom,
% 119.16/119.13 ! [V_d_2,V_m_2] :
% 119.16/119.13 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_bin__less__0__simps_I2_J,axiom,
% 119.16/119.13 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zminus2__not__zero,axiom,
% 119.16/119.13 ! [V_l,V_k] :
% 119.16/119.13 ( 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)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zminus1__not__zero,axiom,
% 119.16/119.13 ! [V_l,V_k] :
% 119.16/119.13 ( 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)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zdiv__trivial,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_DIVISION__BY__ZERO,axiom,
% 119.16/119.13 ! [V_a] :
% 119.16/119.13 ( 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)
% 119.16/119.13 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zadd1__eq,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Int_OMin__def,axiom,
% 119.16/119.13 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__Min,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__number__of__Min,axiom,
% 119.16/119.13 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nonzero__number__of__Min,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__minus1,axiom,
% 119.16/119.13 ! [V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__div__equality2,axiom,
% 119.16/119.13 ! [V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__div__equality,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mod__equality2,axiom,
% 119.16/119.13 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mod__equality,axiom,
% 119.16/119.13 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.13 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__le__mono2,axiom,
% 119.16/119.13 ! [V_k,V_n,V_m] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__self1__is__m,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__mult__self__is__m,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => 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 ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__mult__div__cancel1,axiom,
% 119.16/119.13 ! [V_n,V_m,V_k] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__less__dividend,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__minus1__right,axiom,
% 119.16/119.13 ! [V_z,T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mult__minus1,axiom,
% 119.16/119.13 ! [V_z,T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__neg__neg__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 119.16/119.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__mod__conj,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 & 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_neg__mod__sign,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__pos__pos__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 119.16/119.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__mod__conj,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 & 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__mod__sign,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_number__of__Min,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_arith__simps_I31_J,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zminus2__eq__if,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zminus1__eq__if,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zdiv__equality,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zmult1__eq,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zmod__equality,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zmod__equality2,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmult__eq__1__iff,axiom,
% 119.16/119.13 ! [V_na_2,V_m_2] :
% 119.16/119.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 119.16/119.13 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 119.16/119.13 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 119.16/119.13 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 119.16/119.13 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 119.16/119.13 ! [V_n,V_m] :
% 119.16/119.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 119.16/119.13 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 119.16/119.13 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmult__div__cancel,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zdiv__equality_H,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_of__int__m1,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__minus1__right,axiom,
% 119.16/119.13 ! [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) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_succ__def,axiom,
% 119.16/119.13 ! [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)) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__geq,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__if,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.13 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.13 => 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)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__div,axiom,
% 119.16/119.13 ! [V_k_2,V_na_2,V_P_2] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 119.16/119.13 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 119.16/119.13 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 => ! [B_i,B_j] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 119.16/119.13 => ( 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)
% 119.16/119.13 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 119.16/119.13 ! [V_y,V_x] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__div__distrib,axiom,
% 119.16/119.13 ! [V_y,V_x] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__pos__neg__trivial,axiom,
% 119.16/119.13 ! [V_b,V_a] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 => 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) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__eq__minus1,axiom,
% 119.16/119.13 ! [V_b] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_le__div__geq,axiom,
% 119.16/119.13 ! [V_m,V_n] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__div__lemma,axiom,
% 119.16/119.13 ! [V_m_2,V_q_2,V_na_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 119.16/119.13 => ( ( 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))
% 119.16/119.13 & 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)))) )
% 119.16/119.13 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__div_H,axiom,
% 119.16/119.13 ! [V_na_2,V_m_2,V_P_2] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 119.16/119.13 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.13 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 119.16/119.13 | ? [B_q] :
% 119.16/119.13 ( 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))
% 119.16/119.13 & 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))))
% 119.16/119.13 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_number__of__succ,axiom,
% 119.16/119.13 ! [V_k,T_a] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_a)
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_divmod__int__rel__mod__eq,axiom,
% 119.16/119.13 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 119.16/119.13 ( 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)
% 119.16/119.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 119.16/119.13 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmult2__lemma__aux2,axiom,
% 119.16/119.13 ! [V_q,V_r,V_b,V_c] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmult2__lemma__aux1,axiom,
% 119.16/119.13 ! [V_q,V_r,V_b,V_c] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmult2__lemma__aux4,axiom,
% 119.16/119.13 ! [V_q,V_b,V_r,V_c] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmult2__lemma__aux3,axiom,
% 119.16/119.13 ! [V_q,V_b,V_r,V_c] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 119.16/119.13 => 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))) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__zmod,axiom,
% 119.16/119.13 ! [V_k_2,V_na_2,V_P_2] :
% 119.16/119.13 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 119.16/119.13 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => hBOOL(hAPP(V_P_2,V_na_2)) )
% 119.16/119.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 119.16/119.13 => ! [B_i,B_j] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 119.16/119.13 & 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) )
% 119.16/119.13 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 119.16/119.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 => ! [B_i,B_j] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.13 & 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) )
% 119.16/119.13 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zmod__zmult2__eq,axiom,
% 119.16/119.13 ! [V_b,V_a,V_c] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zminus1__eq__if,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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)) )
% 119.16/119.13 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_zdiv__zminus2__eq__if,axiom,
% 119.16/119.13 ! [V_a,V_b] :
% 119.16/119.13 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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)) )
% 119.16/119.13 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.13 => 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)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_div__nat__number__of,axiom,
% 119.16/119.13 ! [V_v_H,V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_split__pos__lemma,axiom,
% 119.16/119.13 ! [V_na_2,V_P_2,V_k_2] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 119.16/119.13 => ( 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)))
% 119.16/119.13 <=> ! [B_i,B_j] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 119.16/119.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 119.16/119.13 & 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) )
% 119.16/119.13 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_z3mod__def,axiom,
% 119.16/119.13 ! [V_k,V_l] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 119.16/119.13 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_one__mod__nat__number__of,axiom,
% 119.16/119.13 ! [V_v_H] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 119.16/119.13 => 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)) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 119.16/119.13 => 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))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_mod__nat__number__of,axiom,
% 119.16/119.13 ! [V_v_H,V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 119.16/119.13 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 119.16/119.13 => 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))) ) ) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_incr__lemma,axiom,
% 119.16/119.13 ! [V_x,V_z,V_d] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 119.16/119.13 => 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)))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_decr__lemma,axiom,
% 119.16/119.13 ! [V_z,V_x,V_d] :
% 119.16/119.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 119.16/119.13 => 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)) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__number__of__add__1,axiom,
% 119.16/119.13 ! [V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_nat__1__add__number__of,axiom,
% 119.16/119.13 ! [V_v] :
% 119.16/119.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.13 => 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) )
% 119.16/119.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.13 => 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)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_eq__special_I1_J,axiom,
% 119.16/119.13 ! [V_y_2,T_b] :
% 119.16/119.13 ( class_Int_Onumber__ring(T_b)
% 119.16/119.13 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 119.16/119.13 <=> 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)))) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_abs__idempotent,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.13 => 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) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_abs__ge__self,axiom,
% 119.16/119.13 ! [V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_abs__le__D1,axiom,
% 119.16/119.13 ! [V_b,V_a,T_a] :
% 119.16/119.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 119.16/119.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_abs__zero,axiom,
% 119.16/119.13 ! [T_a] :
% 119.16/119.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.13
% 119.16/119.13 fof(fact_abs__eq__0,axiom,
% 119.16/119.13 ! [V_a_2,T_b] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.14 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__add__abs,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__mult,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__mult__self,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__minus__commute,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__one,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__minus__cancel,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__abs,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__of__nat,axiom,
% 119.16/119.14 ! [V_n,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__less,axiom,
% 119.16/119.14 ! [V_n,V_m] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__less__eq__dividend,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__int__eq,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__mult__distrib2,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__mult__distrib,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Pls__def,axiom,
% 119.16/119.14 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I19_J,axiom,
% 119.16/119.14 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I2_J,axiom,
% 119.16/119.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Pls__right,axiom,
% 119.16/119.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Pls,axiom,
% 119.16/119.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__Pls,axiom,
% 119.16/119.14 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I1_J,axiom,
% 119.16/119.14 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__Pls,axiom,
% 119.16/119.14 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I37_J,axiom,
% 119.16/119.14 c_Int_OPls != c_Int_OMin ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I40_J,axiom,
% 119.16/119.14 c_Int_OMin != c_Int_OPls ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__ge__zero,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__le__zero__iff,axiom,
% 119.16/119.14 ! [V_a_2,T_b] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__of__nonneg,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__not__less__zero,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ~ 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__less__abs__iff,axiom,
% 119.16/119.14 ! [V_a_2,T_b] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__of__pos,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__triangle__ineq,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__mult__less,axiom,
% 119.16/119.14 ! [V_d,V_b,V_c,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__triangle__ineq2__sym,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__triangle__ineq2,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__triangle__ineq3,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__le__D2,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__leI,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__le__iff,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.14 => ( 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))
% 119.16/119.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 119.16/119.14 & 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)) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__ge__minus__self,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__less__iff,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 119.16/119.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__power__minus,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__1,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__Suc,axiom,
% 119.16/119.14 ! [V_n,V_m] :
% 119.16/119.14 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 119.16/119.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.14 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__less__divisor,axiom,
% 119.16/119.14 ! [V_m,V_n] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__eq__0__iff,axiom,
% 119.16/119.14 ! [V_d_2,V_m_2] :
% 119.16/119.14 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.14 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__if,axiom,
% 119.16/119.14 ! [V_n,V_m] :
% 119.16/119.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.14 => 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) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__geq,axiom,
% 119.16/119.14 ! [V_n,V_m] :
% 119.16/119.14 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__mult__self3,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__mod__geq,axiom,
% 119.16/119.14 ! [V_m,V_n] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__zmult__eq__1,axiom,
% 119.16/119.14 ! [V_n,V_m] :
% 119.16/119.14 ( 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)
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_number__of__Pls,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_semiring__norm_I112_J,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zmod__int,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__numeral__0,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__numeral__0__right,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__sgn,axiom,
% 119.16/119.14 ! [V_k,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__sgn__abs,axiom,
% 119.16/119.14 ! [V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_div__add1__eq,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_bin__less__0__simps_I1_J,axiom,
% 119.16/119.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__number__of__Pls,axiom,
% 119.16/119.14 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_semiring__norm_I113_J,axiom,
% 119.16/119.14 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__is__num__zero,axiom,
% 119.16/119.14 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I23_J,axiom,
% 119.16/119.14 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I20_J,axiom,
% 119.16/119.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I3_J,axiom,
% 119.16/119.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I6_J,axiom,
% 119.16/119.14 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__number__of__Pls__Min,axiom,
% 119.16/119.14 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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_not__neg__number__of__Pls,axiom,
% 119.16/119.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_iszero__Numeral0,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_succ__Min,axiom,
% 119.16/119.14 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__mult__pos,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__eq__mult,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Oordered__ring__abs(T_a)
% 119.16/119.14 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 119.16/119.14 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 119.16/119.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__diff__triangle__ineq,axiom,
% 119.16/119.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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))))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__triangle__ineq4,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__minus__le__zero,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__of__nonpos,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__if,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oabs__if(T_a)
% 119.16/119.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__of__neg,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__le__power__abs,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__minus__one,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_a) )
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__le__divisor,axiom,
% 119.16/119.14 ! [V_m,V_n] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zabs__less__one__iff,axiom,
% 119.16/119.14 ! [V_z_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zabs__def,axiom,
% 119.16/119.14 ! [V_i] :
% 119.16/119.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.14 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__mult__self4,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__abs__mult__distrib,axiom,
% 119.16/119.14 ! [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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__mult2__eq,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_div__mult1__eq,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__le__zpower__abs,axiom,
% 119.16/119.14 ! [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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_div__mod__equality_H,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__div__cancel,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Divides_Omod__div__equality_H,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__number__of__0,axiom,
% 119.16/119.14 ! [V_v_2] :
% 119.16/119.14 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__0__number__of,axiom,
% 119.16/119.14 ! [V_v_2] :
% 119.16/119.14 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_number__of2,axiom,
% 119.16/119.14 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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__nat__number__of,axiom,
% 119.16/119.14 ! [V_v_H_2,V_v_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__nat__number__of,axiom,
% 119.16/119.14 ! [V_v_H_2,V_v_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__number__of,axiom,
% 119.16/119.14 ! [V_x,T_a] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_a) )
% 119.16/119.14 => ( ( 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)))
% 119.16/119.14 => 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)) )
% 119.16/119.14 & ( ~ 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)))
% 119.16/119.14 => 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) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__power__minus__one,axiom,
% 119.16/119.14 ! [V_n,T_a] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_a) )
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_split__mod,axiom,
% 119.16/119.14 ! [V_k_2,V_na_2,V_P_2] :
% 119.16/119.14 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 119.16/119.14 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.14 => hBOOL(hAPP(V_P_2,V_na_2)) )
% 119.16/119.14 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.14 => ! [B_i,B_j] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 119.16/119.14 => ( 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)
% 119.16/119.14 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__lemma,axiom,
% 119.16/119.14 ! [V_q,V_b,V_r,V_c] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 119.16/119.14 => 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))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__times__mod__eq,axiom,
% 119.16/119.14 ! [V_m,V_k] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__mod__distrib,axiom,
% 119.16/119.14 ! [V_y,V_x] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 119.16/119.14 ! [V_y,V_x] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__less__zpower__abs__iff,axiom,
% 119.16/119.14 ! [V_na_2,V_x_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.14 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__special_I1_J,axiom,
% 119.16/119.14 ! [V_y_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__special_I3_J,axiom,
% 119.16/119.14 ! [V_x_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__special_I1_J,axiom,
% 119.16/119.14 ! [V_y_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__special_I3_J,axiom,
% 119.16/119.14 ! [V_x_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__0__number__of,axiom,
% 119.16/119.14 ! [V_v_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__nat__number__of,axiom,
% 119.16/119.14 ! [V_v_H,V_v] :
% 119.16/119.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 119.16/119.14 => 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) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 119.16/119.14 => 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)) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__nat__number__of,axiom,
% 119.16/119.14 ! [V_v_H,V_v] :
% 119.16/119.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__number__of__mult__left,axiom,
% 119.16/119.14 ! [V_k,V_v_H,V_v] :
% 119.16/119.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__special_I3_J,axiom,
% 119.16/119.14 ! [V_x_2,T_b] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 <=> 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)))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__number__of__diff__1,axiom,
% 119.16/119.14 ! [V_v] :
% 119.16/119.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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) )
% 119.16/119.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__diff__number__of,axiom,
% 119.16/119.14 ! [V_m,V_v] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__special_I2_J,axiom,
% 119.16/119.14 ! [V_y_2,T_b] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 119.16/119.14 <=> 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)))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__special_I4_J,axiom,
% 119.16/119.14 ! [V_x_2,T_b] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 119.16/119.14 <=> 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))))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__special_I1_J,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__special_I2_J,axiom,
% 119.16/119.14 ! [V_v,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_int__val__lemma,axiom,
% 119.16/119.14 ! [V_k_2,V_f_2,V_na_2] :
% 119.16/119.14 ( ! [B_i] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 119.16/119.14 => 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))) )
% 119.16/119.14 => ( 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))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 119.16/119.14 => ? [B_i] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 119.16/119.14 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__Bit1,axiom,
% 119.16/119.14 ! [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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I51_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 119.16/119.14 <=> V_k_2 = V_l_2 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I34_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__eq__int__code_I16_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__int__code_I16_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I17_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I39_J,axiom,
% 119.16/119.14 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I46_J,axiom,
% 119.16/119.14 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Bit1__Min,axiom,
% 119.16/119.14 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I43_J,axiom,
% 119.16/119.14 ! [V_l_2] :
% 119.16/119.14 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 119.16/119.14 <=> c_Int_OMin = V_l_2 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I47_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 119.16/119.14 <=> V_k_2 = c_Int_OMin ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_succ__pred,axiom,
% 119.16/119.14 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 119.16/119.14
% 119.16/119.14 fof(fact_bin__less__0__simps_I4_J,axiom,
% 119.16/119.14 ! [V_w_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I22_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I12_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Bit1__def,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I30_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I26_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I9_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I13_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_neg__number__of__Bit1,axiom,
% 119.16/119.14 ! [V_w_2] :
% 119.16/119.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 119.16/119.14 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_iszero__number__of__Bit1,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 & class_Int_Oring__char__0(T_a) )
% 119.16/119.14 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_succ__Pls,axiom,
% 119.16/119.14 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__iff__pred__less,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pred__Pls,axiom,
% 119.16/119.14 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pred__def,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Min__right,axiom,
% 119.16/119.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Min,axiom,
% 119.16/119.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_number__of__Bit1,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__numeral__1__right,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__numeral__1,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_numeral__1__eq__1,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_semiring__norm_I110_J,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I29_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I5_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_one__is__num__one,axiom,
% 119.16/119.14 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Numeral1__eq1__nat,axiom,
% 119.16/119.14 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__numeral__1__eq__1,axiom,
% 119.16/119.14 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I4_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__Min,axiom,
% 119.16/119.14 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_not__iszero__Numeral1,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_numeral__1__eq__Suc__0,axiom,
% 119.16/119.14 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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_numeral__3__eq__3,axiom,
% 119.16/119.14 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)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power3__eq__cube,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 119.16/119.14 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))))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc3__eq__add__3,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 119.16/119.14 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)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 119.16/119.14 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)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__special_I4_J,axiom,
% 119.16/119.14 ! [V_x_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_le__special_I2_J,axiom,
% 119.16/119.14 ! [V_y_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__special_I4_J,axiom,
% 119.16/119.14 ! [V_x_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__special_I2_J,axiom,
% 119.16/119.14 ! [V_y_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Rings_Olinordered__idom(T_b) )
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__special_I3_J,axiom,
% 119.16/119.14 ! [V_v,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__special_I2_J,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 119.16/119.14 ! [V_m,V_n] :
% 119.16/119.14 ( 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))
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_number__of__pred,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_div__Suc__eq__div__add3,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__div__eq__add3__div,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_neg__number__of__pred__iff__0,axiom,
% 119.16/119.14 ! [V_v_2] :
% 119.16/119.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 119.16/119.14 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zmod__number__of__Bit1,axiom,
% 119.16/119.14 ! [V_v,V_w] :
% 119.16/119.14 ( ( 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)))
% 119.16/119.14 => 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)) )
% 119.16/119.14 & ( ~ 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)))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_neg__zmod__mult__2,axiom,
% 119.16/119.14 ! [V_b,V_a] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pos__zdiv__mult__2,axiom,
% 119.16/119.14 ! [V_b,V_a] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_neg__zdiv__mult__2,axiom,
% 119.16/119.14 ! [V_b,V_a] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pos__zmod__mult__2,axiom,
% 119.16/119.14 ! [V_b,V_a] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_of__nat__double,axiom,
% 119.16/119.14 ! [V_x,T_a] :
% 119.16/119.14 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 119.16/119.14 => 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))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 119.16/119.14 ! [V_n] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.14 => 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)))))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I48_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 119.16/119.14 <=> V_k_2 = V_l_2 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__eq__int__code_I13_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I31_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I14_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__int__code_I13_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I44_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 119.16/119.14 <=> V_k_2 = c_Int_OPls ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I38_J,axiom,
% 119.16/119.14 ! [V_l_2] :
% 119.16/119.14 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 119.16/119.14 <=> c_Int_OPls = V_l_2 ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Bit0__Pls,axiom,
% 119.16/119.14 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I50_J,axiom,
% 119.16/119.14 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I49_J,axiom,
% 119.16/119.14 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Bit0__Bit0,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Bit0__def,axiom,
% 119.16/119.14 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__Bit0,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I7_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__Bit0,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I45_J,axiom,
% 119.16/119.14 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I42_J,axiom,
% 119.16/119.14 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_bin__less__0__simps_I3_J,axiom,
% 119.16/119.14 ! [V_w_2] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I21_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I27_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I32_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__eq__int__code_I14_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I10_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I4_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__int__code_I15_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I16_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Bit1__Bit0,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Bit0__Bit1,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I3_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I9_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I10_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I28_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I8_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zdiv__number__of__Bit0,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_neg__number__of__Bit0,axiom,
% 119.16/119.14 ! [V_w_2] :
% 119.16/119.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 119.16/119.14 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pred__Bit0,axiom,
% 119.16/119.14 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pred__Bit1,axiom,
% 119.16/119.14 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_pred__Min,axiom,
% 119.16/119.14 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_iszero__number__of__Bit0,axiom,
% 119.16/119.14 ! [V_w_2,T_b] :
% 119.16/119.14 ( ( class_Int_Onumber__ring(T_b)
% 119.16/119.14 & class_Int_Oring__char__0(T_b) )
% 119.16/119.14 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 119.16/119.14 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_succ__Bit0,axiom,
% 119.16/119.14 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_succ__Bit1,axiom,
% 119.16/119.14 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_number__of__Bit0,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I15_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__int__code_I14_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I33_J,axiom,
% 119.16/119.14 ! [V_l_2,V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__eq__int__code_I15_J,axiom,
% 119.16/119.14 ! [V_k2_2,V_k1_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__Bit1,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I25_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_rel__simps_I11_J,axiom,
% 119.16/119.14 ! [V_k_2] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I5_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I6_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__bin__simps_I8_J,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__Bit1__Bit1,axiom,
% 119.16/119.14 ! [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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_double__number__of__Bit0,axiom,
% 119.16/119.14 ! [V_w,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_number__of1,axiom,
% 119.16/119.14 ! [V_n] :
% 119.16/119.14 ( 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)))
% 119.16/119.14 => ( 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))))
% 119.16/119.14 & 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)))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__2,axiom,
% 119.16/119.14 ! [V_z,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__2__right,axiom,
% 119.16/119.14 ! [V_z,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_one__add__one__is__two,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__power2,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__eq__power2,axiom,
% 119.16/119.14 ! [V_a_2,T_b] :
% 119.16/119.14 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 119.16/119.14 => ( 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)
% 119.16/119.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_semiring__norm_I115_J,axiom,
% 119.16/119.14 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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_numeral__2__eq__2,axiom,
% 119.16/119.14 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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 119.16/119.14 ! [V_x,T_a] :
% 119.16/119.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__eq__square,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 119.16/119.14 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))))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__2__eq__Suc_H,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__2__eq__Suc,axiom,
% 119.16/119.14 ! [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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_one__power2,axiom,
% 119.16/119.14 ! [T_a] :
% 119.16/119.14 ( class_Rings_Osemiring__1(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__minus,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Oring__1(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__mult__2,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__mult__2__right,axiom,
% 119.16/119.14 ! [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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__even__eq,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 119.16/119.14 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)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 119.16/119.14 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)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__power2,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__abs,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__1__add__1,axiom,
% 119.16/119.14 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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod2__Suc__Suc,axiom,
% 119.16/119.14 ! [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)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_div2__Suc__Suc,axiom,
% 119.16/119.14 ! [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))))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zmod__number__of__Bit0,axiom,
% 119.16/119.14 ! [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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__self__div__2,axiom,
% 119.16/119.14 ! [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 ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__le__power2,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)))))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__le__imp__le,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.14 => ( 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))))))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__eq__imp__eq,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.14 => ( 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))))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.14 => V_x = V_y ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__less__0,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => ~ 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__less__power2,axiom,
% 119.16/119.14 ! [V_a_2,T_b] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.14 => ( 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))))))
% 119.16/119.14 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_sum__power2__eq__zero__iff,axiom,
% 119.16/119.14 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.14 => ( 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)
% 119.16/119.14 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__eq__square__number__of,axiom,
% 119.16/119.14 ! [V_w,T_b] :
% 119.16/119.14 ( ( class_Groups_Omonoid__mult(T_b)
% 119.16/119.14 & class_Int_Onumber(T_b) )
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_less__2__cases,axiom,
% 119.16/119.14 ! [V_n] :
% 119.16/119.14 ( 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)))))
% 119.16/119.14 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.14 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__2,axiom,
% 119.16/119.14 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))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__eq__1__iff,axiom,
% 119.16/119.14 ! [V_a_2,T_b] :
% 119.16/119.14 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 119.16/119.14 => ( 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)
% 119.16/119.14 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 119.16/119.14 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 119.16/119.14 ! [V_n,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__minus__even,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Oring__1(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__less__imp__less,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__semidom(T_a)
% 119.16/119.14 => ( 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))))))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_sum__power2__ge__zero,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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))))))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_sum__power2__le__zero__iff,axiom,
% 119.16/119.14 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_not__sum__power2__lt__zero,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => ~ 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_sum__power2__gt__zero__iff,axiom,
% 119.16/119.14 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.14 => ( 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)))))))
% 119.16/119.14 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__sum,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__le__even__power_H,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => 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)))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__odd__eq,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Groups_Omonoid__mult(T_a)
% 119.16/119.14 => 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))))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 119.16/119.14 ! [V_n,V_x,T_a] :
% 119.16/119.14 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.14 => 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))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__minus1__even,axiom,
% 119.16/119.14 ! [V_n,T_a] :
% 119.16/119.14 ( class_Rings_Oring__1(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zdiv__number__of__Bit1,axiom,
% 119.16/119.14 ! [V_v,V_w] :
% 119.16/119.14 ( ( 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)))
% 119.16/119.14 => 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)) )
% 119.16/119.14 & ( ~ 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)))
% 119.16/119.14 => 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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mod2__gr__0,axiom,
% 119.16/119.14 ! [V_m_2] :
% 119.16/119.14 ( 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))))))
% 119.16/119.14 <=> 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_div__2__gt__zero,axiom,
% 119.16/119.14 ! [V_n] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 119.16/119.14 => 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)))))) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power2__diff,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => ( 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)))))
% 119.16/119.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_odd__power__less__zero,axiom,
% 119.16/119.14 ! [V_n,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => 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))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__minus1__odd,axiom,
% 119.16/119.14 ! [V_n,T_a] :
% 119.16/119.14 ( class_Rings_Oring__1(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__m1__even,axiom,
% 119.16/119.14 ! [V_n,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__m1__odd,axiom,
% 119.16/119.14 ! [V_n,T_a] :
% 119.16/119.14 ( class_Int_Onumber__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_int__of__code,axiom,
% 119.16/119.14 ! [V_k] :
% 119.16/119.14 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.14 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.14 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.14 => ( ( 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)
% 119.16/119.14 => 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)))))) )
% 119.16/119.14 & ( 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)
% 119.16/119.14 => 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)) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_one__code__numeral__code,axiom,
% 119.16/119.14 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)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_half__gt__zero,axiom,
% 119.16/119.14 ! [V_r,T_a] :
% 119.16/119.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.14 & class_Int_Onumber__ring(T_a) )
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 119.16/119.14 => 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)))))) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_half__gt__zero__iff,axiom,
% 119.16/119.14 ! [V_r_2,T_b] :
% 119.16/119.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.14 & class_Int_Onumber__ring(T_b) )
% 119.16/119.14 => ( 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))))))
% 119.16/119.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat0__intermed__int__val,axiom,
% 119.16/119.14 ! [V_k_2,V_f_2,V_na_2] :
% 119.16/119.14 ( ! [B_i] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 119.16/119.14 => 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))) )
% 119.16/119.14 => ( 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))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 119.16/119.14 => ? [B_i] :
% 119.16/119.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 119.16/119.14 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 119.16/119.14 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nat__mod__eq__lemma,axiom,
% 119.16/119.14 ! [V_y,V_n,V_x] :
% 119.16/119.14 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 119.16/119.14 => ? [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)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_code__numeral__zero__minus__one,axiom,
% 119.16/119.14 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) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__zero,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__zero__left,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_add__divide__distrib,axiom,
% 119.16/119.14 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_times__divide__eq__right,axiom,
% 119.16/119.14 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_times__divide__times__eq,axiom,
% 119.16/119.14 ! [V_w,V_z,V_y,V_x,T_a] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_diff__divide__distrib,axiom,
% 119.16/119.14 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__1,axiom,
% 119.16/119.14 ! [V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__divide__left,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__divide__divide,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.14 => 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) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_minus__divide__right,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_power__divide,axiom,
% 119.16/119.14 ! [V_n,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_abs__divide,axiom,
% 119.16/119.14 ! [V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.14 => 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)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 119.16/119.14 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 119.16/119.14 ! [V_y,V_x] :
% 119.16/119.14 ( c_Nat__Transfer_Ois__nat(V_x)
% 119.16/119.14 => ( c_Nat__Transfer_Ois__nat(V_y)
% 119.16/119.14 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 119.16/119.14 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 119.16/119.14 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 119.16/119.14 ! [V_y,V_x] :
% 119.16/119.14 ( c_Nat__Transfer_Ois__nat(V_x)
% 119.16/119.14 => ( c_Nat__Transfer_Ois__nat(V_y)
% 119.16/119.14 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 119.16/119.14 ! [V_y,V_x] :
% 119.16/119.14 ( c_Nat__Transfer_Ois__nat(V_x)
% 119.16/119.14 => ( c_Nat__Transfer_Ois__nat(V_y)
% 119.16/119.14 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 119.16/119.14 ! [V_y,V_x] :
% 119.16/119.14 ( c_Nat__Transfer_Ois__nat(V_x)
% 119.16/119.14 => ( c_Nat__Transfer_Ois__nat(V_y)
% 119.16/119.14 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 119.16/119.14 ! [V_n,V_x] :
% 119.16/119.14 ( c_Nat__Transfer_Ois__nat(V_x)
% 119.16/119.14 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__right__mono__neg,axiom,
% 119.16/119.14 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__right__mono,axiom,
% 119.16/119.14 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__le__0__iff,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 119.16/119.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__le__divide__iff,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 119.16/119.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__strict__right__mono__neg,axiom,
% 119.16/119.14 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__strict__right__mono,axiom,
% 119.16/119.14 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__neg__neg,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__neg__pos,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__pos__neg,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__pos__pos,axiom,
% 119.16/119.14 ! [V_y,V_x,T_a] :
% 119.16/119.14 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.14 => 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))) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__less__0__iff,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 119.16/119.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_zero__less__divide__iff,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.14 => ( 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)))
% 119.16/119.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 119.16/119.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nonzero__eq__divide__eq,axiom,
% 119.16/119.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_b)
% 119.16/119.14 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 119.16/119.14 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_nonzero__divide__eq__eq,axiom,
% 119.16/119.14 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_b)
% 119.16/119.14 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 119.16/119.14 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__eq__imp,axiom,
% 119.16/119.14 ! [V_a,V_b,V_c,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.14 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 119.16/119.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__divide__imp,axiom,
% 119.16/119.14 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 119.16/119.14 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_eq__divide__eq,axiom,
% 119.16/119.14 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_b)
% 119.16/119.14 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 119.16/119.14 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 119.16/119.14 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_divide__eq__eq,axiom,
% 119.16/119.14 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_b)
% 119.16/119.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 119.16/119.14 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 119.16/119.14 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__divide__mult__cancel__right,axiom,
% 119.16/119.14 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.14 => 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) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_mult__divide__mult__cancel__left,axiom,
% 119.16/119.14 ! [V_b,V_a,V_c,T_a] :
% 119.16/119.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.14 => 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) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_frac__eq__eq,axiom,
% 119.16/119.14 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 119.16/119.14 ( class_Fields_Ofield(T_b)
% 119.16/119.14 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => ( 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)
% 119.16/119.14 <=> 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) ) ) ) ) ).
% 119.16/119.14
% 119.16/119.14 fof(fact_right__inverse__eq,axiom,
% 119.16/119.14 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.14 ( class_Rings_Odivision__ring(T_b)
% 119.16/119.14 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 119.16/119.15 <=> V_a_2 = V_b_2 ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__self,axiom,
% 119.16/119.15 ! [V_a,T_a] :
% 119.16/119.15 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.15 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__self__if,axiom,
% 119.16/119.15 ! [V_a,T_a] :
% 119.16/119.15 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 119.16/119.15 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 119.16/119.15 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nonzero__minus__divide__divide,axiom,
% 119.16/119.15 ! [V_a,V_b,T_a] :
% 119.16/119.15 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nonzero__minus__divide__right,axiom,
% 119.16/119.15 ! [V_a,V_b,T_a] :
% 119.16/119.15 ( class_Rings_Odivision__ring(T_a)
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nonzero__power__divide,axiom,
% 119.16/119.15 ! [V_n,V_a,V_b,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nonzero__abs__divide,axiom,
% 119.16/119.15 ! [V_a,V_b,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_power__one__over,axiom,
% 119.16/119.15 ! [V_n,V_a,T_a] :
% 119.16/119.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 119.16/119.15 ! [V_y,V_x] :
% 119.16/119.15 ( c_Nat__Transfer_Ois__nat(V_x)
% 119.16/119.15 => ( c_Nat__Transfer_Ois__nat(V_y)
% 119.16/119.15 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__nonpos__neg,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__nonpos__pos,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_frac__le,axiom,
% 119.16/119.15 ! [V_z,V_w,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 119.16/119.15 => 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))) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_frac__less,axiom,
% 119.16/119.15 ! [V_z,V_w,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 119.16/119.15 => 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))) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_frac__less2,axiom,
% 119.16/119.15 ! [V_z,V_w,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 119.16/119.15 => 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))) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__nonneg__neg,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__nonneg__pos,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__strict__left__mono__neg,axiom,
% 119.16/119.15 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => 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))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__strict__left__mono,axiom,
% 119.16/119.15 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => 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))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_neg__divide__less__eq,axiom,
% 119.16/119.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_neg__less__divide__eq,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mult__imp__less__div__pos,axiom,
% 119.16/119.15 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => ( 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))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mult__imp__div__pos__less,axiom,
% 119.16/119.15 ! [V_z,V_x,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pos__divide__less__eq,axiom,
% 119.16/119.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pos__less__divide__eq,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__less__eq,axiom,
% 119.16/119.15 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__divide__eq,axiom,
% 119.16/119.15 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_is__nat__def,axiom,
% 119.16/119.15 ! [V_x_2] :
% 119.16/119.15 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 119.16/119.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_add__num__frac,axiom,
% 119.16/119.15 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_add__divide__eq__iff,axiom,
% 119.16/119.15 ! [V_y,V_x,V_z,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_add__frac__num,axiom,
% 119.16/119.15 ! [V_z,V_x,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__add__eq__iff,axiom,
% 119.16/119.15 ! [V_y,V_x,V_z,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_add__frac__eq,axiom,
% 119.16/119.15 ! [V_w,V_x,V_z,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_diff__divide__eq__iff,axiom,
% 119.16/119.15 ! [V_y,V_x,V_z,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__diff__eq__iff,axiom,
% 119.16/119.15 ! [V_y,V_x,V_z,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_diff__frac__eq,axiom,
% 119.16/119.15 ! [V_w,V_x,V_z,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_eq__divide__eq__number__of1,axiom,
% 119.16/119.15 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => 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 )
% 119.16/119.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_eq__divide__eq__number__of,axiom,
% 119.16/119.15 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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)
% 119.16/119.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => 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 )
% 119.16/119.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__eq__eq__number__of,axiom,
% 119.16/119.15 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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)
% 119.16/119.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__eq__eq__number__of1,axiom,
% 119.16/119.15 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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
% 119.16/119.15 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_gt__half__sum,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__half__sum,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 119.16/119.15 => 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))))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__Numeral0,axiom,
% 119.16/119.15 ! [V_x,T_a] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.15 & class_Int_Onumber__ring(T_a) )
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_abs__div__pos,axiom,
% 119.16/119.15 ! [V_x,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__numeral__1,axiom,
% 119.16/119.15 ! [V_a,T_a] :
% 119.16/119.15 ( ( class_Fields_Ofield(T_a)
% 119.16/119.15 & class_Int_Onumber__ring(T_a) )
% 119.16/119.15 => 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 ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__Numeral1,axiom,
% 119.16/119.15 ! [V_x,T_a] :
% 119.16/119.15 ( ( class_Fields_Ofield(T_a)
% 119.16/119.15 & class_Int_Onumber__ring(T_a) )
% 119.16/119.15 => 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 ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__minus1,axiom,
% 119.16/119.15 ! [V_x,T_a] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.15 & class_Int_Onumber__ring(T_a) )
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zero__code__numeral__code,axiom,
% 119.16/119.15 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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__left__mono__neg,axiom,
% 119.16/119.15 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => 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))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__left__mono,axiom,
% 119.16/119.15 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => 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))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_neg__divide__le__eq,axiom,
% 119.16/119.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_neg__le__divide__eq,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mult__imp__le__div__pos,axiom,
% 119.16/119.15 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => ( 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))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mult__imp__div__pos__le,axiom,
% 119.16/119.15 ! [V_z,V_x,V_y,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pos__divide__le__eq,axiom,
% 119.16/119.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pos__le__divide__eq,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__le__eq,axiom,
% 119.16/119.15 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__divide__eq,axiom,
% 119.16/119.15 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__divide__eq__number__of1,axiom,
% 119.16/119.15 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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))))
% 119.16/119.15 <=> ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__divide__eq__number__of,axiom,
% 119.16/119.15 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__less__eq__number__of,axiom,
% 119.16/119.15 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__less__eq__number__of1,axiom,
% 119.16/119.15 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( ( 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)))
% 119.16/119.15 => 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)))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_power__diff,axiom,
% 119.16/119.15 ! [V_m,V_n,V_a,T_a] :
% 119.16/119.15 ( class_Fields_Ofield(T_a)
% 119.16/119.15 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_minus1__divide,axiom,
% 119.16/119.15 ! [V_x,T_a] :
% 119.16/119.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 119.16/119.15 & class_Int_Onumber__ring(T_a) )
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 119.16/119.15 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__le__eq__number__of1,axiom,
% 119.16/119.15 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( ( 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)))
% 119.16/119.15 => 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)))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divide__le__eq__number__of,axiom,
% 119.16/119.15 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__divide__eq__number__of,axiom,
% 119.16/119.15 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 119.16/119.15 => 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))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__divide__eq__number__of1,axiom,
% 119.16/119.15 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 119.16/119.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 119.16/119.15 & class_Int_Onumber(T_b) )
% 119.16/119.15 => ( 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))))
% 119.16/119.15 <=> ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__of__aux__code,axiom,
% 119.16/119.15 ! [V_n,V_i] :
% 119.16/119.15 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.15 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 119.16/119.15 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osize_I1_J,axiom,
% 119.16/119.15 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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osize_I3_J,axiom,
% 119.16/119.15 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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__induct__0,axiom,
% 119.16/119.15 ! [V_i_2,V_P_2,V_p_2] :
% 119.16/119.15 ( ! [B_i] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 119.16/119.15 => ( hBOOL(hAPP(V_P_2,B_i))
% 119.16/119.15 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 119.16/119.15 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 119.16/119.15 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__intermed__int__val,axiom,
% 119.16/119.15 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 119.16/119.15 ( ! [B_i] :
% 119.16/119.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 119.16/119.15 => 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))) )
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 119.16/119.15 => ? [B_i] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 119.16/119.15 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osize_I4_J,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osize_I2_J,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_log_Osimps,axiom,
% 119.16/119.15 ! [V_i,V_b] :
% 119.16/119.15 ( ( ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 119.16/119.15 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 119.16/119.15 & ( ~ ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__div__decomp,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_field__le__epsilon,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Fields_Olinordered__field(T_a)
% 119.16/119.15 => ( ! [B_e] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 119.16/119.15 => 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))) )
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_minus__code__numeral__code,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Oinject,axiom,
% 119.16/119.15 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 119.16/119.15 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 119.16/119.15 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 119.16/119.15 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Suc__code__numeral__minus__one,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_subtract__code__numeral__def,axiom,
% 119.16/119.15 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_minus__shift__def,axiom,
% 119.16/119.15 ! [V_r,V_l,V_k] :
% 119.16/119.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_inc__shift__def,axiom,
% 119.16/119.15 ! [V_k,V_v] :
% 119.16/119.15 ( ( V_v = V_k
% 119.16/119.15 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 119.16/119.15 & ( V_v != V_k
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 119.16/119.15 ! [V_w] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( 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))))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ 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))))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat_Osize_I2_J,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_diff__nat__number__of,axiom,
% 119.16/119.15 ! [V_v_2,V_v_H_2] :
% 119.16/119.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_INF__less__iff,axiom,
% 119.16/119.15 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 119.16/119.15 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.15 & class_Orderings_Olinorder(T_b) )
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ? [B_x] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 119.16/119.15 ! [V_na_2,V_m_2] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 119.16/119.15 <=> 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_INT__subset__iff,axiom,
% 119.16/119.15 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 <=> ! [B_x] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__INF__iff,axiom,
% 119.16/119.15 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 119.16/119.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ! [B_x] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_INFI__apply,axiom,
% 119.16/119.15 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 119.16/119.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_INF__commute,axiom,
% 119.16/119.15 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 119.16/119.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_fun__Compl__def,axiom,
% 119.16/119.15 ! [V_x_2,V_A_2,T_c,T_b] :
% 119.16/119.15 ( class_Groups_Ouminus(T_b)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_fun__diff__def,axiom,
% 119.16/119.15 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.15 ( class_Groups_Ominus(T_b)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__eq__Suc__le__raw,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_diff__Suc,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__number__of__Bit0,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat_Osize_I1_J,axiom,
% 119.16/119.15 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_power__number__of__even,axiom,
% 119.16/119.15 ! [V_w_2,V_z_2,T_b] :
% 119.16/119.15 ( class_Int_Onumber__ring(T_b)
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zpower__number__of__even,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_power__number__of__even__number__of,axiom,
% 119.16/119.15 ! [V_w_2,V_v_2,T_b] :
% 119.16/119.15 ( class_Int_Onumber__ring(T_b)
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_diff__nat__eq__if,axiom,
% 119.16/119.15 ! [V_z_2,V_z_H_2] :
% 119.16/119.15 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg__div__mod,axiom,
% 119.16/119.15 ! [V_l,V_k] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg__minus1,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 119.16/119.15 ! [V_na_2,T_b] :
% 119.16/119.15 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_adjust__eq,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_eq__number__of__Suc,axiom,
% 119.16/119.15 ! [V_na_2,V_v_2] :
% 119.16/119.15 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 119.16/119.15 <=> 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Suc__eq__number__of,axiom,
% 119.16/119.15 ! [V_v_2,V_na_2] :
% 119.16/119.15 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 119.16/119.15 <=> 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__case__number__of,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__rec__number__of,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__number__of__Bit1,axiom,
% 119.16/119.15 ! [V_w_2] :
% 119.16/119.15 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 119.16/119.15 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__Suc__number__of,axiom,
% 119.16/119.15 ! [V_v_2,V_na_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 <=> 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__number__of__Suc,axiom,
% 119.16/119.15 ! [V_na_2,V_v_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 <=> 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)))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__number__of__Suc,axiom,
% 119.16/119.15 ! [V_na_2,V_v_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 <=> 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)))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__Suc__number__of,axiom,
% 119.16/119.15 ! [V_v_2,V_na_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 <=> 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__case__add__eq__if,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__rec__add__eq__if,axiom,
% 119.16/119.15 ! [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))))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_power__number__of__odd,axiom,
% 119.16/119.15 ! [V_z_2,V_w_2,T_b] :
% 119.16/119.15 ( class_Int_Onumber__ring(T_b)
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zpower__number__of__odd,axiom,
% 119.16/119.15 ! [V_z_2,V_w_2] :
% 119.16/119.15 ( ( 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)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg_Osimps,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( ( ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_power__number__of__odd__number__of,axiom,
% 119.16/119.15 ! [V_v_2,V_w_2,T_b] :
% 119.16/119.15 ( class_Int_Onumber__ring(T_b)
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg__eqn,axiom,
% 119.16/119.15 ! [V_a,V_b] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg__eqn__number__of,axiom,
% 119.16/119.15 ! [V_w,V_v] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( 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))))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ 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))))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 119.16/119.15 ! [V_w] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg_Osimps,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_adjust__def,axiom,
% 119.16/119.15 ! [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))))))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg__eqn,axiom,
% 119.16/119.15 ! [V_a,V_b] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg__eqn__number__of,axiom,
% 119.16/119.15 ! [V_w,V_v] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg_Opsimps,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( ~ ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_accp_Osimps,axiom,
% 119.16/119.15 ! [V_a_2,V_r_2,T_b] :
% 119.16/119.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 119.16/119.15 <=> ! [B_x] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 119.16/119.15 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_accp_Oequations,axiom,
% 119.16/119.15 ! [V_a_2,V_r_2,T_b] :
% 119.16/119.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 119.16/119.15 <=> ! [B_x] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 119.16/119.15 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_accp__downward,axiom,
% 119.16/119.15 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 119.16/119.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 119.16/119.15 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_accp__subset,axiom,
% 119.16/119.15 ! [V_R2_2,V_R1_2,T_b] :
% 119.16/119.15 ( 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))
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg__0,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg__div__mod,axiom,
% 119.16/119.15 ! [V_l,V_k] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg_Opsimps,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_of__int__num,axiom,
% 119.16/119.15 ! [V_k_2,T_b] :
% 119.16/119.15 ( class_Rings_Oring__1(T_b)
% 119.16/119.15 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 119.16/119.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => 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))) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => 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))))) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg_Opinduct,axiom,
% 119.16/119.15 ! [V_P_2,V_a1_2,V_a0_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ! [B_a,B_b] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( ~ ( 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)))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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))) )
% 119.16/119.15 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 119.16/119.15 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pdivmod__posDivAlg,axiom,
% 119.16/119.15 ! [V_k,V_l] :
% 119.16/119.15 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pdivmod__def,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zmult2__lemma,axiom,
% 119.16/119.15 ! [V_c,V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__correct,axiom,
% 119.16/119.15 ! [V_a,V_b] :
% 119.16/119.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__rel__def,axiom,
% 119.16/119.15 ! [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))))))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_unique__remainder,axiom,
% 119.16/119.15 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => V_r = V_r_H ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_unique__quotient,axiom,
% 119.16/119.15 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => V_q = V_q_H ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_self__remainder,axiom,
% 119.16/119.15 ! [V_r,V_q,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__rel__0,axiom,
% 119.16/119.15 ! [V_b] :
% 119.16/119.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_self__quotient,axiom,
% 119.16/119.15 ! [V_r,V_q,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__rel__mod,axiom,
% 119.16/119.15 ! [V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__rel__div,axiom,
% 119.16/119.15 ! [V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negDivAlg__correct,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__rel__div__mod,axiom,
% 119.16/119.15 ! [V_a,V_b] :
% 119.16/119.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg__correct,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__mod__div,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zadd1__lemma,axiom,
% 119.16/119.15 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zminus1__lemma,axiom,
% 119.16/119.15 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__relI,axiom,
% 119.16/119.15 ! [V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)
% 119.16/119.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_zmult1__lemma,axiom,
% 119.16/119.15 ! [V_a,V_r,V_q,V_c,V_b] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__pdivmod,axiom,
% 119.16/119.15 ! [V_l_2,V_k_2] :
% 119.16/119.15 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__code,axiom,
% 119.16/119.15 ! [V_l_2,V_k_2] :
% 119.16/119.15 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__def,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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)) )
% 119.16/119.15 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.15 => 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))) ) ) ) ) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => 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))) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_posDivAlg_Opinduct,axiom,
% 119.16/119.15 ! [V_P_2,V_a1_2,V_a0_2] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ! [B_a,B_b] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 119.16/119.15 => 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))) )
% 119.16/119.15 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 119.16/119.15 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__twice,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__eta,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_splitI,axiom,
% 119.16/119.15 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_prod__caseI,axiom,
% 119.16/119.15 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_splitD,axiom,
% 119.16/119.15 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_splitD_H,axiom,
% 119.16/119.15 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 119.16/119.15 ( 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))
% 119.16/119.15 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_apsnd__conv,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negateSnd__def,axiom,
% 119.16/119.15 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Pair__inject,axiom,
% 119.16/119.15 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 119.16/119.15 ( 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)
% 119.16/119.15 => ~ ( V_a = V_a_H
% 119.16/119.15 => V_b != V_b_H ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Pair__eq,axiom,
% 119.16/119.15 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.15 ( 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)
% 119.16/119.15 <=> ( V_a_2 = V_a_H_2
% 119.16/119.15 & V_b_2 = V_b_H_2 ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__paired__All,axiom,
% 119.16/119.15 ! [T_c,T_b,V_P_2] :
% 119.16/119.15 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.15 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__weak__cong,axiom,
% 119.16/119.15 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 119.16/119.15 ( V_p_2 = V_q_2
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_negateSnd__eq,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__int__rel__neg,axiom,
% 119.16/119.15 ! [V_qr,V_b,V_a] :
% 119.16/119.15 ( 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))
% 119.16/119.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__conv,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_prod_Osimps_I2_J,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__mod__code__numeral__def,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__step,axiom,
% 119.16/119.15 ! [V_m,V_n] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__pos__neg__1__number__of,axiom,
% 119.16/119.15 ! [V_w] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 119.16/119.15 ! [V_c,V_r,V_q,V_b,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 119.16/119.15 ! [V_a,V_r,V_q,V_c,V_b] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__pos__neg__1__number__of,axiom,
% 119.16/119.15 ! [V_w] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => 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))))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__def,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__comp__eq,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_split__beta,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_prod__case__beta,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_surjective__pairing,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_pair__collapse,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_prod__eqI,axiom,
% 119.16/119.15 ! [V_q,V_p,T_b,T_a] :
% 119.16/119.15 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 119.16/119.15 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 119.16/119.15 => V_p = V_q ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_Pair__fst__snd__eq,axiom,
% 119.16/119.15 ! [T_c,T_b,V_t_2,V_s_2] :
% 119.16/119.15 ( V_s_2 = V_t_2
% 119.16/119.15 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 119.16/119.15 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel__unique,axiom,
% 119.16/119.15 ! [V_qr_H,V_qr,V_n,V_m] :
% 119.16/119.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 119.16/119.15 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 119.16/119.15 => V_qr = V_qr_H ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__eq,axiom,
% 119.16/119.15 ! [V_qr,V_n,V_m] :
% 119.16/119.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 119.16/119.15 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 119.16/119.15 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_fst__eqD,axiom,
% 119.16/119.15 ! [V_a,V_y,V_x,T_b,T_a] :
% 119.16/119.15 ( 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
% 119.16/119.15 => V_x = V_a ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_fst__conv,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_snd__eqD,axiom,
% 119.16/119.15 ! [V_a,V_y,V_x,T_a,T_b] :
% 119.16/119.15 ( 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
% 119.16/119.15 => V_y = V_a ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_snd__conv,axiom,
% 119.16/119.15 ! [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 ).
% 119.16/119.15
% 119.16/119.15 fof(fact_fst__apsnd,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_snd__apsnd,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_apsnd__eq__conv,axiom,
% 119.16/119.15 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 119.16/119.15 ( 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)
% 119.16/119.15 <=> 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_fst__def,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_snd__def,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__eq,axiom,
% 119.16/119.15 ! [V_r,V_q,V_n,V_m] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__eq,axiom,
% 119.16/119.15 ! [V_r,V_q,V_n,V_m] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__zero,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__int__def,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__int__def,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__base,axiom,
% 119.16/119.15 ! [V_n,V_m] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__div__mod,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__neg__pos,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__neg__pos,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__pos__pos,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__pos__pos,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__pos__pos__1__number__of,axiom,
% 119.16/119.15 ! [V_w] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__pos__pos__1__number__of,axiom,
% 119.16/119.15 ! [V_w] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__pos__neg,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__pos__neg,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__if,axiom,
% 119.16/119.15 ! [V_m_2,V_na_2] :
% 119.16/119.15 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__neg__neg,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 119.16/119.15 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 119.16/119.15 ( 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)))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 119.16/119.15 => 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__neg__neg,axiom,
% 119.16/119.15 ! [V_b,V_a] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.15 => 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)))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_prod__size__simp,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_conjI__realizer,axiom,
% 119.16/119.15 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 119.16/119.15 ( hBOOL(hAPP(V_P_2,V_p_2))
% 119.16/119.15 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 119.16/119.15 => ( 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))))
% 119.16/119.15 & 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)))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_exI__realizer,axiom,
% 119.16/119.15 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 119.16/119.15 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 119.16/119.15 => 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)))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat_Osize_I4_J,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__Suc__number__of,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__number__of__Suc,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat__size,axiom,
% 119.16/119.15 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf_Oidem,axiom,
% 119.16/119.15 ! [V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf_Ocommute,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__commute,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__left__idem,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 119.16/119.15 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__left__commute,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf_Oassoc,axiom,
% 119.16/119.15 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__assoc,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__le1,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__le2,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__iff__inf,axiom,
% 119.16/119.15 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.16/119.15 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__inf__iff,axiom,
% 119.16/119.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__infI1,axiom,
% 119.16/119.15 ! [V_b,V_x,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__infI2,axiom,
% 119.16/119.15 ! [V_a,V_x,V_b,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__absorb1,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__absorb2,axiom,
% 119.16/119.15 ! [V_x,V_y,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__infI,axiom,
% 119.16/119.15 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__greatest,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oinf__mono,axiom,
% 119.16/119.15 ! [V_d,V_b,V_c,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__infE,axiom,
% 119.16/119.15 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__le__iff__disj,axiom,
% 119.16/119.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oless__infI2,axiom,
% 119.16/119.15 ! [V_a,V_x,V_b,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oless__infI1,axiom,
% 119.16/119.15 ! [V_b,V_x,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 119.16/119.15 => 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)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__less__iff__disj,axiom,
% 119.16/119.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__less__iff__conj,axiom,
% 119.16/119.15 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__add__distrib__left,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__diff__distrib__left,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Groups_Oordered__ab__group__add(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__0L,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__0R,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__Suc__Suc,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__diff,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__of__mono,axiom,
% 119.16/119.15 ! [V_na_2,V_m_2,V_f_2,T_b,T_c] :
% 119.16/119.15 ( ( class_Orderings_Olinorder(T_c)
% 119.16/119.15 & class_Orderings_Olinorder(T_b) )
% 119.16/119.15 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_na_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_na_2)) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__number__of,axiom,
% 119.16/119.15 ! [V_v,V_u,T_b] :
% 119.16/119.15 ( ( class_Int_Onumber(T_b)
% 119.16/119.15 & class_Orderings_Oord(T_b) )
% 119.16/119.15 => ( ( 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)))
% 119.16/119.15 => 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) )
% 119.16/119.15 & ( ~ 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)))
% 119.16/119.15 => 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) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_div__nat__def,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_mod__nat__def,axiom,
% 119.16/119.15 ! [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)) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_nat_Osize_I3_J,axiom,
% 119.16/119.15 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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_divmod__nat__rel__def,axiom,
% 119.16/119.15 ! [V_qr_2,V_na_2,V_m_2] :
% 119.16/119.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 119.16/119.15 <=> ( 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))
% 119.16/119.15 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.15 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.15 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 & 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)) ) )
% 119.16/119.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 119.16/119.15 => ( 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)))
% 119.16/119.15 & 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))) ) ) ) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__Suc2,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__Suc1,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_range,axiom,
% 119.16/119.15 ! [V_s,V_k] :
% 119.16/119.15 ( 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))
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__ord__min,axiom,
% 119.16/119.15 ! [T_b] :
% 119.16/119.15 ( class_Orderings_Oord(T_b)
% 119.16/119.15 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_prod_Orecs,axiom,
% 119.16/119.15 ! [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) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_max__number__of__Suc,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_max__Suc__number__of,axiom,
% 119.16/119.15 ! [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)))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_apsnd__apfst,axiom,
% 119.16/119.15 ! [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))) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__assoc,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup_Oassoc,axiom,
% 119.16/119.15 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__left__commute,axiom,
% 119.16/119.15 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 119.16/119.15 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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)) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__left__idem,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__commute,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup_Ocommute,axiom,
% 119.16/119.15 ! [V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup_Oidem,axiom,
% 119.16/119.15 ! [V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__max__iff__disj,axiom,
% 119.16/119.15 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__supE,axiom,
% 119.16/119.15 ! [V_x,V_b,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( 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))
% 119.16/119.15 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 119.16/119.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__mono,axiom,
% 119.16/119.15 ! [V_d,V_b,V_c,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 119.16/119.15 => 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))) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__least,axiom,
% 119.16/119.15 ! [V_z,V_x,V_y,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__supI,axiom,
% 119.16/119.15 ! [V_b,V_x,V_a,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 119.16/119.15 => 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)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__absorb1,axiom,
% 119.16/119.15 ! [V_x,V_y,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Osup__absorb2,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.15 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__supI2,axiom,
% 119.16/119.15 ! [V_a,V_b,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__supI1,axiom,
% 119.16/119.15 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.15 => 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))) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__sup__iff,axiom,
% 119.16/119.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Ole__iff__sup,axiom,
% 119.16/119.15 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.16/119.15 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__maxI2,axiom,
% 119.16/119.15 ! [V_x,V_y,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_le__maxI1,axiom,
% 119.16/119.15 ! [V_y,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.15 => 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))) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_less__max__iff__disj,axiom,
% 119.16/119.15 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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)))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 119.16/119.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_max__less__iff__conj,axiom,
% 119.16/119.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_b)
% 119.16/119.15 => ( 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))
% 119.16/119.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 119.16/119.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 119.16/119.15
% 119.16/119.15 fof(fact_min__max_Oless__supI1,axiom,
% 119.16/119.15 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.15 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Oless__supI2,axiom,
% 119.16/119.16 ! [V_a,V_b,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__add__distrib__left,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__diff__distrib__left,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__0R,axiom,
% 119.16/119.16 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__0L,axiom,
% 119.16/119.16 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__Suc__Suc,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 119.16/119.16 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 119.16/119.16 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 119.16/119.16 ! [V_y,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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 ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Osup__inf__absorb,axiom,
% 119.16/119.16 ! [V_y,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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 ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__of__mono,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2,V_f_2,T_b,T_c] :
% 119.16/119.16 ( ( class_Orderings_Olinorder(T_c)
% 119.16/119.16 & class_Orderings_Olinorder(T_b) )
% 119.16/119.16 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.16 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_na_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_na_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_apfst__conv,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_apfst__eq__conv,axiom,
% 119.16/119.16 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.16 ( 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)
% 119.16/119.16 <=> 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_fst__apfst,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_snd__apfst,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__number__of,axiom,
% 119.16/119.16 ! [V_v,V_u,T_b] :
% 119.16/119.16 ( ( class_Int_Onumber(T_b)
% 119.16/119.16 & class_Orderings_Oord(T_b) )
% 119.16/119.16 => ( ( 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)))
% 119.16/119.16 => 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) )
% 119.16/119.16 & ( ~ 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)))
% 119.16/119.16 => 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) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Odistrib__sup__le,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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)))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_min__max_Odistrib__inf__le,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => 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)))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_minus__max__eq__min,axiom,
% 119.16/119.16 ! [V_y,V_x,T_a] :
% 119.16/119.16 ( class_Groups_Olinordered__ab__group__add(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_minus__min__eq__max,axiom,
% 119.16/119.16 ! [V_y,V_x,T_a] :
% 119.16/119.16 ( class_Groups_Olinordered__ab__group__add(T_a)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__minus__add__max,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_apsnd__apfst__commute,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__Suc1,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__Suc2,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_apfst__apsnd,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dual__min,axiom,
% 119.16/119.16 ! [T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_max__ord__max,axiom,
% 119.16/119.16 ! [T_b] :
% 119.16/119.16 ( class_Orderings_Oord(T_b)
% 119.16/119.16 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_OFrac__def,axiom,
% 119.16/119.16 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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_norm__frac_Osimps,axiom,
% 119.16/119.16 ! [V_a_2,V_b_2] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.16 => 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)) )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.16 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.16 => 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)) )
% 119.16/119.16 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.16 => 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))) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_norm__frac_Opsimps,axiom,
% 119.16/119.16 ! [V_b_2,V_a_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.16 => 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)) )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.16 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.16 => 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)) )
% 119.16/119.16 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 119.16/119.16 => 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))) ) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_iterate_Osimps,axiom,
% 119.16/119.16 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 119.16/119.16 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.16 => 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) )
% 119.16/119.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_scomp__scomp,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_scomp__Pair,axiom,
% 119.16/119.16 ! [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 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Pair__scomp,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_scomp__apply,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_scomp__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Min_Oidem,axiom,
% 119.16/119.16 ! [V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Max_Oidem,axiom,
% 119.16/119.16 ! [V_x,T_a] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_a)
% 119.16/119.16 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dual__max,axiom,
% 119.16/119.16 ! [T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_scomp__unfold,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_norm__frac_Opinduct,axiom,
% 119.16/119.16 ! [V_P_2,V_a1_2,V_a0_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ! [B_a,B_b] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 119.16/119.16 => 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))) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__gcd_Osimps,axiom,
% 119.16/119.16 ! [V_x,V_y] :
% 119.16/119.16 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 119.16/119.16 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oone__frac__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__gcd_Opsimps,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 119.16/119.16 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Ofrac__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_INF1__iff,axiom,
% 119.16/119.16 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.16 ( 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))
% 119.16/119.16 <=> ! [B_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_rev__predicate1D,axiom,
% 119.16/119.16 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 119.16/119.16 ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 119.16/119.16 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_predicate1D,axiom,
% 119.16/119.16 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 119.16/119.16 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.16/119.16 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_rev__predicate2D,axiom,
% 119.16/119.16 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 119.16/119.16 => ( 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))
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_predicate2D,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 119.16/119.16 ( 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))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__gcd_Opinduct,axiom,
% 119.16/119.16 ! [V_P_2,V_a1_2,V_a0_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ! [B_x,B_y] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_internal__split__def,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_bool_Osize_I2_J,axiom,
% 119.16/119.16 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_bool_Osize_I1_J,axiom,
% 119.16/119.16 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_internal__split__conv,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oof__frac__def,axiom,
% 119.16/119.16 ! [V_q,T_a,T_b] :
% 119.16/119.16 ( ( class_Rings_Oinverse(T_b)
% 119.16/119.16 & class_Rings_Oring__1(T_b) )
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oless__frac__def,axiom,
% 119.16/119.16 ! [V_r_2,V_q_2,T_b] :
% 119.16/119.16 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 119.16/119.16 ! [V_r_2,V_q_2,T_b] :
% 119.16/119.16 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__morphism__int__nat,axiom,
% 119.16/119.16 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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pair__box_Osize_I1_J,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_The__split,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Random_Osimps,axiom,
% 119.16/119.16 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 119.16/119.16 ( ( 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)))
% 119.16/119.16 => 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)) )
% 119.16/119.16 & ( ~ 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)))
% 119.16/119.16 => 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))))))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pair__box_Oinject,axiom,
% 119.16/119.16 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.16 ( 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)
% 119.16/119.16 <=> ( V_a_2 = V_a_H_2
% 119.16/119.16 & V_b_2 = V_b_H_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_The__split__eq,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_split__paired__The,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_divmod__nat__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Random__Sequence_Oempty__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Random__Sequence_Osingle__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pair__box_Osize_I2_J,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pair__box_Osimps_I2_J,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pair__box_Orecs,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_the__eq__trivial,axiom,
% 119.16/119.16 ! [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 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_the__sym__eq__trivial,axiom,
% 119.16/119.16 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_exE__realizer,axiom,
% 119.16/119.16 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( ! [B_x,B_y] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 119.16/119.16 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_code__numeral__not__eq__zero,axiom,
% 119.16/119.16 ! [V_i_2] :
% 119.16/119.16 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 119.16/119.16 <=> 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2] :
% 119.16/119.16 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 119.16/119.16 <=> V_na_2 = V_m_2 ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 119.16/119.16 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_times__code__numeral__code,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zero__code__numeral__def,axiom,
% 119.16/119.16 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_one__code__numeral__def,axiom,
% 119.16/119.16 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_less__code__numeral__code,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_plus__code__numeral__code,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_less__eq__code__numeral__code,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_subtract__code__numeral__code,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_code__numeral__decr,axiom,
% 119.16/119.16 ! [V_k] :
% 119.16/119.16 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pos__not__random__dseq__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_mod__code__numeral__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_times__code__numeral__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 119.16/119.16 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 119.16/119.16 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.16 => 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) )
% 119.16/119.16 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 119.16/119.16 ! [V_l_2,V_k_2] :
% 119.16/119.16 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 119.16/119.16 <=> V_k_2 = V_l_2 ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_code__numeral_Onat__of__inject,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 119.16/119.16 <=> V_x_2 = V_y_2 ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__of__of__nat,axiom,
% 119.16/119.16 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 119.16/119.16
% 119.16/119.16 fof(fact_of__nat__nat__of,axiom,
% 119.16/119.16 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__of__inverse,axiom,
% 119.16/119.16 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 119.16/119.16
% 119.16/119.16 fof(fact_less__code__numeral__def,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__of__number,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_less__eq__code__numeral__def,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__of__code,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__of__aux__def,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Suc__code__numeral__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_minus__code__numeral__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_plus__code__numeral__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_div__code__numeral__def,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 119.16/119.16 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 119.16/119.16 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 119.16/119.16 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.16 => 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) )
% 119.16/119.16 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_beyond__def,axiom,
% 119.16/119.16 ! [V_l,V_k] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 119.16/119.16 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 119.16/119.16 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_beyond__zero,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pos__empty__def,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_pos__bind__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_curry__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_curryI,axiom,
% 119.16/119.16 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 119.16/119.16 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_curryE,axiom,
% 119.16/119.16 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 119.16/119.16 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_curryD,axiom,
% 119.16/119.16 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 119.16/119.16 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_curry__conv,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_split__curry,axiom,
% 119.16/119.16 ! [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 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_curry__split,axiom,
% 119.16/119.16 ! [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 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_neg__bind__def,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Powp__def,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.16 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 119.16/119.16 <=> ! [B_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 119.16/119.16 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_power__dvd__imp__le,axiom,
% 119.16/119.16 ! [V_n,V_m,V_i] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__cancel1,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 119.16/119.16 => ( 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))
% 119.16/119.16 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__cancel2,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 119.16/119.16 => ( 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))
% 119.16/119.16 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oorder__refl,axiom,
% 119.16/119.16 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__0__right,axiom,
% 119.16/119.16 ! [V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__1__left,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__abs__iff,axiom,
% 119.16/119.16 ! [V_k_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_abs__dvd__iff,axiom,
% 119.16/119.16 ! [V_k_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__if__abs__eq,axiom,
% 119.16/119.16 ! [V_k,V_l,T_a] :
% 119.16/119.16 ( class_Rings_Olinordered__idom(T_a)
% 119.16/119.16 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_div__dvd__div,axiom,
% 119.16/119.16 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_one__dvd,axiom,
% 119.16/119.16 ! [V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__minus__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Rings_Ocomm__ring__1(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_minus__dvd__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Rings_Ocomm__ring__1(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mod__iff,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_mod__mod__cancel,axiom,
% 119.16/119.16 ! [V_a,V_b,V_c,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 119.16/119.16 => 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) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mod,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mod__imp__dvd,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__0__left,axiom,
% 119.16/119.16 ! [V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 119.16/119.16 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__asym,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__trans,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__asym_H,axiom,
% 119.16/119.16 ! [V_b,V_a] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 119.16/119.16 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__le__trans,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 119.16/119.16 => ( V_b = V_c
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => V_y != V_x ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => V_x != V_y ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__imp__not__less,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__imp__le,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__not__sym,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__imp__neq,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 => V_x != V_y ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ole__less__trans,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a] :
% 119.16/119.16 ( V_a = V_b
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oorder__trans,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oantisym,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 119.16/119.16 => V_x = V_y ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__antisym,axiom,
% 119.16/119.16 ! [V_n,V_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 119.16/119.16 => V_m = V_n ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 => ( V_b = V_c
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a] :
% 119.16/119.16 ( V_a = V_b
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ole__neq__trans,axiom,
% 119.16/119.16 ! [V_b,V_a] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 => ( V_a != V_b
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 119.16/119.16 | V_x = V_y ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oantisym__conv,axiom,
% 119.16/119.16 ! [V_x_2,V_y_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oeq__refl,axiom,
% 119.16/119.16 ! [V_y,V_x] :
% 119.16/119.16 ( V_x = V_y
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oneq__le__trans,axiom,
% 119.16/119.16 ! [V_b,V_a] :
% 119.16/119.16 ( V_a != V_b
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oless__le,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 119.16/119.16 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 & V_x_2 != V_y_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ole__less,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 119.16/119.16 | V_x_2 = V_y_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Oeq__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( V_x_2 = V_y_2
% 119.16/119.16 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__trans,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__refl,axiom,
% 119.16/119.16 ! [V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__diff,axiom,
% 119.16/119.16 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__ring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 119.16/119.16 => 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__add,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 119.16/119.16 => 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__power__same,axiom,
% 119.16/119.16 ! [V_n,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__triv__left,axiom,
% 119.16/119.16 ! [V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__triv__right,axiom,
% 119.16/119.16 ! [V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult2,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult,axiom,
% 119.16/119.16 ! [V_b,V_c,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_mult__dvd__mono,axiom,
% 119.16/119.16 ! [V_d,V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 119.16/119.16 => 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvdI,axiom,
% 119.16/119.16 ! [V_k,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Odvd(T_a)
% 119.16/119.16 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__left,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( 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))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__right,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( 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))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__reduce,axiom,
% 119.16/119.16 ! [V_na_2,V_k_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__diff__nat,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__dvd__1__iff__1,axiom,
% 119.16/119.16 ! [V_m_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 119.16/119.16 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__cancel__left,axiom,
% 119.16/119.16 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 119.16/119.16 ( class_Rings_Oidom(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.16 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__cancel__right,axiom,
% 119.16/119.16 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Rings_Oidom(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.16 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__eq__mod__eq__0,axiom,
% 119.16/119.16 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 119.16/119.16 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__imp__mod__0,axiom,
% 119.16/119.16 ! [V_b,V_a,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_div__add,axiom,
% 119.16/119.16 ! [V_y,V_x,V_z,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__div__cancel,axiom,
% 119.16/119.16 ! [V_b,V_a,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => 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 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_div__mult__swap,axiom,
% 119.16/119.16 ! [V_a,V_b,V_c,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 119.16/119.16 => 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) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__div__mult__self,axiom,
% 119.16/119.16 ! [V_b,V_a,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => 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 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__div__mult,axiom,
% 119.16/119.16 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 119.16/119.16 => 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) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_div__mult__div__if__dvd,axiom,
% 119.16/119.16 ! [V_w,V_z,V_x,V_y,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__div__neg,axiom,
% 119.16/119.16 ! [V_x,V_y,T_a] :
% 119.16/119.16 ( class_Divides_Oring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__neg__div,axiom,
% 119.16/119.16 ! [V_x,V_y,T_a] :
% 119.16/119.16 ( class_Divides_Oring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_le__imp__power__dvd,axiom,
% 119.16/119.16 ! [V_a,V_n,V_m,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__power__le,axiom,
% 119.16/119.16 ! [V_m,V_n,V_y,V_x,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.16 => 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_power__le__dvd,axiom,
% 119.16/119.16 ! [V_m,V_b,V_n,V_a,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( 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))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_div__power,axiom,
% 119.16/119.16 ! [V_n,V_x,V_y,T_a] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_a)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__1__iff__1,axiom,
% 119.16/119.16 ! [V_m_2] :
% 119.16/119.16 ( 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))))
% 119.16/119.16 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__dvd__not__less,axiom,
% 119.16/119.16 ! [V_n,V_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 119.16/119.16 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__diffD,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__diffD1,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_unity__coeff__ex,axiom,
% 119.16/119.16 ! [V_l_2,V_P_2,T_b] :
% 119.16/119.16 ( ( class_Rings_Odvd(T_b)
% 119.16/119.16 & class_Rings_Osemiring__0(T_b) )
% 119.16/119.16 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 119.16/119.16 <=> ? [B_x] :
% 119.16/119.16 ( 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))))
% 119.16/119.16 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_inf__period_I3_J,axiom,
% 119.16/119.16 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 119.16/119.16 ( ( class_Rings_Ocomm__ring(T_b)
% 119.16/119.16 & class_Rings_Odvd(T_b) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 119.16/119.16 => ! [B_x,B_k] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_inf__period_I4_J,axiom,
% 119.16/119.16 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 119.16/119.16 ( ( class_Rings_Ocomm__ring(T_b)
% 119.16/119.16 & class_Rings_Odvd(T_b) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 119.16/119.16 => ! [B_x,B_k] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( ( class_Divides_Osemiring__div(T_b)
% 119.16/119.16 & class_Int_Onumber(T_b) )
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> 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) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__div__eq__mult,axiom,
% 119.16/119.16 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_b)
% 119.16/119.16 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 119.16/119.16 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 119.16/119.16 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__div__div__eq__mult,axiom,
% 119.16/119.16 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Divides_Osemiring__div(T_b)
% 119.16/119.16 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.16 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 119.16/119.16 => ( 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)
% 119.16/119.16 <=> 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) ) ) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__imp__le,axiom,
% 119.16/119.16 ! [V_n,V_k] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__mult__cancel,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__mult__dvd__cancel1,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2,V_k_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Powp__mono,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__power,axiom,
% 119.16/119.16 ! [V_x,V_n,T_a] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_a)
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 119.16/119.16 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ostrict__monoD,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( 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)
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_OmonoD,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 => 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__dvd__iff,axiom,
% 119.16/119.16 ! [V_m_2,V_z_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),V_m_2))
% 119.16/119.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 119.16/119.16 => 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))) )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 119.16/119.16 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_int__dvd__iff,axiom,
% 119.16/119.16 ! [V_z_2,V_m_2] :
% 119.16/119.16 ( 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))
% 119.16/119.16 <=> 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)))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__int__iff,axiom,
% 119.16/119.16 ! [V_m_2,V_z_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__zdiffD,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_uminus__dvd__conv_I2_J,axiom,
% 119.16/119.16 ! [V_t_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_t_2))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_uminus__dvd__conv_I1_J,axiom,
% 119.16/119.16 ! [V_t_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d_2)),V_t_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__zmod,axiom,
% 119.16/119.16 ! [V_n,V_m,V_f] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_n))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__zmod__imp__zdvd,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__antisym__abs,axiom,
% 119.16/119.16 ! [V_b,V_a] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a),V_b))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_b),V_a))
% 119.16/119.16 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_a) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_b) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__antisym__nonneg,axiom,
% 119.16/119.16 ! [V_n,V_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 119.16/119.16 => V_m = V_n ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__not__zless,axiom,
% 119.16/119.16 ! [V_n,V_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_m),V_n))
% 119.16/119.16 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__mult__cancel,axiom,
% 119.16/119.16 ! [V_n,V_m,V_k] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__mono,axiom,
% 119.16/119.16 ! [V_t_2,V_m_2,V_k_2] :
% 119.16/119.16 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m_2),V_t_2))
% 119.16/119.16 <=> 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_t_2))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__period,axiom,
% 119.16/119.16 ! [V_c_2,V_t_2,V_x_2,V_d_2,V_a_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),V_d_2))
% 119.16/119.16 => ( 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_t_2)))
% 119.16/119.16 <=> 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_t_2))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__reduce,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2,V_k_2] :
% 119.16/119.16 ( 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))))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),V_na_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__int,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__int__nat__relations_I4_J,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__mult__div__cancel,axiom,
% 119.16/119.16 ! [V_m,V_n] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 119.16/119.16 => 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 ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zmod__eq__dvd__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_na_2,V_x_2] :
% 119.16/119.16 ( 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)
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd1__eq,axiom,
% 119.16/119.16 ! [V_x_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 119.16/119.16 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_abs__div,axiom,
% 119.16/119.16 ! [V_x,V_y] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_y),V_x))
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ostrict__mono__mono,axiom,
% 119.16/119.16 ! [V_f_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( 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)
% 119.16/119.16 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__imp__le,axiom,
% 119.16/119.16 ! [V_n,V_z] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__iff__zmod__eq__0__number__of,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd__imp__le__int,axiom,
% 119.16/119.16 ! [V_d,V_i] :
% 119.16/119.16 ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d),V_i))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__nat__int__relations_I4_J,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_zdvd__mult__cancel1,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2] :
% 119.16/119.16 ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 119.16/119.16 => ( 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))
% 119.16/119.16 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_Ostrict__monoI,axiom,
% 119.16/119.16 ! [V_f_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( ! [B_x,B_y] :
% 119.16/119.16 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y))
% 119.16/119.16 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_y),B_x)) )
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 119.16/119.16 => 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) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_dvd_OmonoI,axiom,
% 119.16/119.16 ! [V_f_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( ! [B_x,B_y] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) )
% 119.16/119.16 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_arith__series__int,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_mod__eqD,axiom,
% 119.16/119.16 ! [V_r,V_d,V_m] :
% 119.16/119.16 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_d) = V_r
% 119.16/119.16 => ? [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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_nat__mod__eq__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_na_2,V_x_2] :
% 119.16/119.16 ( 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)
% 119.16/119.16 <=> ? [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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__abs,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__abs__ge__zero,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_of__nat__setsum,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__commute,axiom,
% 119.16/119.16 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__lessThan__Suc,axiom,
% 119.16/119.16 ! [V_na_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_of__int__setsum,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Rings_Oring__1(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_lessThan__eq__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 119.16/119.16 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__0,axiom,
% 119.16/119.16 ! [V_A_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__addf,axiom,
% 119.16/119.16 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__product,axiom,
% 119.16/119.16 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Rings_Osemiring__0(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__left__distrib,axiom,
% 119.16/119.16 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Rings_Osemiring__0(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__right__distrib,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 119.16/119.16 ( class_Rings_Osemiring__0(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__subtractf,axiom,
% 119.16/119.16 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Oab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__negf,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Oab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__divide__distrib,axiom,
% 119.16/119.16 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Fields_Ofield(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_abs__setsum__abs,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_lessThan__subset__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_lessThan__strict__subset__iff,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_arith__series__general,axiom,
% 119.16/119.16 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_b)
% 119.16/119.16 => 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)))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_arith__series__nat,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__natinterval__difff,axiom,
% 119.16/119.16 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Oab__group__add(T_b)
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => 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)))) )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => 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) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_gauss__sum,axiom,
% 119.16/119.16 ! [V_na_2,T_b] :
% 119.16/119.16 ( class_Rings_Ocomm__semiring__1(T_b)
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_geometric__sum,axiom,
% 119.16/119.16 ! [V_na_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Fields_Ofield(T_b)
% 119.16/119.16 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__ub__add__nat,axiom,
% 119.16/119.16 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( 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))))
% 119.16/119.16 => 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)))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 119.16/119.16 ! [V_k_2,V_f_2] :
% 119.16/119.16 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 119.16/119.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( 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)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 119.16/119.16 => V_b_2 = V_d_2 ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 119.16/119.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( 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)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 119.16/119.16 => V_a_2 = V_c_2 ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastLessThan__eq__iff,axiom,
% 119.16/119.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 119.16/119.16 => ( 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)
% 119.16/119.16 <=> ( V_a_2 = V_c_2
% 119.16/119.16 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeast0LessThan,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastatMost__subset__iff,axiom,
% 119.16/119.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 119.16/119.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 119.16/119.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastLessThan__subset__iff,axiom,
% 119.16/119.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 119.16/119.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 119.16/119.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 119.16/119.16 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_ivl__diff,axiom,
% 119.16/119.16 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 119.16/119.16 => 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) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 119.16/119.16 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_int__setsum,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__add__nat__ivl,axiom,
% 119.16/119.16 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__diff__nat__ivl,axiom,
% 119.16/119.16 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Oab__group__add(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastatMost__psubset__iff,axiom,
% 119.16/119.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.16 ( class_Orderings_Oorder(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 119.16/119.16 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 119.16/119.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 119.16/119.16 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 119.16/119.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 119.16/119.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 119.16/119.16 ! [V_k_2,V_f_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__head__upt__Suc,axiom,
% 119.16/119.16 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__head__Suc,axiom,
% 119.16/119.16 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__op__ivl__Suc,axiom,
% 119.16/119.16 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 119.16/119.16 => 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) )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 119.16/119.16 => 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)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__cl__ivl__Suc,axiom,
% 119.16/119.16 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 119.16/119.16 => 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) )
% 119.16/119.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 119.16/119.16 => 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_all__nat__less,axiom,
% 119.16/119.16 ! [V_P_2,V_na_2] :
% 119.16/119.16 ( ! [B_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 119.16/119.16 => hBOOL(hAPP(V_P_2,B_m)) )
% 119.16/119.16 <=> ! [B_x] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_ex__nat__less,axiom,
% 119.16/119.16 ! [V_P_2,V_na_2] :
% 119.16/119.16 ( ? [B_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 119.16/119.16 & hBOOL(hAPP(V_P_2,B_m)) )
% 119.16/119.16 <=> ? [B_x] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_all__nat__less__eq,axiom,
% 119.16/119.16 ! [V_P_2,V_na_2] :
% 119.16/119.16 ( ! [B_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 119.16/119.16 => hBOOL(hAPP(V_P_2,B_m)) )
% 119.16/119.16 <=> ! [B_x] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_ex__nat__less__eq,axiom,
% 119.16/119.16 ! [V_P_2,V_na_2] :
% 119.16/119.16 ( ? [B_m] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 119.16/119.16 & hBOOL(hAPP(V_P_2,B_m)) )
% 119.16/119.16 <=> ? [B_x] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_sum__diff__distrib,axiom,
% 119.16/119.16 ! [V_na_2,V_P_2,V_Q_2] :
% 119.16/119.16 ( ! [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)))
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_aset_I8_J,axiom,
% 119.16/119.16 ! [V_t_2,V_A_2,V_D_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_bset_I6_J,axiom,
% 119.16/119.16 ! [V_t_2,V_B_2,V_D_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_periodic__finite__ex,axiom,
% 119.16/119.16 ! [V_P_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 119.16/119.16 => ( ! [B_x,B_k] :
% 119.16/119.16 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.16 <=> 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)))) )
% 119.16/119.16 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.16 <=> ? [B_x] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_bset_I5_J,axiom,
% 119.16/119.16 ! [V_t_2,V_B_2,V_D_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_aset_I7_J,axiom,
% 119.16/119.16 ! [V_t_2,V_A_2,V_D_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 119.16/119.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_bset_I9_J,axiom,
% 119.16/119.16 ! [V_t_2,V_B_2,V_D_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( 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_t_2)))
% 119.16/119.16 => 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_t_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_aset_I9_J,axiom,
% 119.16/119.16 ! [V_t_2,V_A_2,V_D_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( 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_t_2)))
% 119.16/119.16 => 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_t_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_bset_I10_J,axiom,
% 119.16/119.16 ! [V_t_2,V_B_2,V_D_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( ~ 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_t_2)))
% 119.16/119.16 => ~ 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_t_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_aset_I10_J,axiom,
% 119.16/119.16 ! [V_t_2,V_A_2,V_D_2,V_d_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2))
% 119.16/119.16 => ! [B_x] :
% 119.16/119.16 ( ! [B_xa] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 => ! [B_xb] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.16 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.16 => ( ~ 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_t_2)))
% 119.16/119.16 => ~ 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_t_2))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 119.16/119.16 ! [V_u_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__mono,axiom,
% 119.16/119.16 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.16 => 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_subset__image__iff,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 119.16/119.16 ( 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)))
% 119.16/119.16 <=> ? [B_AA] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 119.16/119.16 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.16 <=> 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))) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2] :
% 119.16/119.16 ( V_A_2 = V_B_2
% 119.16/119.16 <=> 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__image,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_INT__simps_I10_J,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_INT__extend__simps_I10_J,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__diff__subset,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__uminus__atLeastAtMost,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 119.16/119.16 ! [V_A_2,V_f_2,T_b] :
% 119.16/119.16 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 & class_Groups_Ocomm__monoid__mult(T_b) )
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 119.16/119.16 ! [V_na_2,V_m_2] :
% 119.16/119.16 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 119.16/119.16 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__head,axiom,
% 119.16/119.16 ! [V_P_2,V_na_2,V_m_2,T_b] :
% 119.16/119.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.16 => 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__SucD,axiom,
% 119.16/119.16 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 119.16/119.16 ( 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)
% 119.16/119.16 => ? [B_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.16 & 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))) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__ivl__cong,axiom,
% 119.16/119.16 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 119.16/119.16 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.16 & class_Orderings_Oord(T_b) )
% 119.16/119.16 => ( V_a_2 = V_c_2
% 119.16/119.16 => ( V_b_2 = V_d_2
% 119.16/119.16 => ( ! [B_x] :
% 119.16/119.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 119.16/119.16 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 119.16/119.16 => 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)) ) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__atLeastAtMost__int,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__uminus__greaterThan,axiom,
% 119.16/119.16 ! [V_x_2,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_greaterThan__eq__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 119.16/119.16 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__Suc__atLeastLessThan,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__Suc__atLeastAtMost,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__add__atLeastLessThan,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__add__atLeastAtMost,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__eq__setsum,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 119.16/119.16 ! [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 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_greaterThan__subset__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( 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)))
% 119.16/119.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_setsum__constant,axiom,
% 119.16/119.16 ! [V_A_2,V_y_2,T_c,T_b] :
% 119.16/119.16 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.16 => 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) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__atLeastLessThan__int,axiom,
% 119.16/119.16 ! [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)) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__uminus__atLeastLessThan,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__add__int__atLeastLessThan,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_image__uminus__lessThan,axiom,
% 119.16/119.16 ! [V_x_2,T_b] :
% 119.16/119.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__greaterThanLessThan__int,axiom,
% 119.16/119.16 ! [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)))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 119.16/119.16 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.16 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.16 & class_Groups_Ocomm__monoid__mult(T_b) )
% 119.16/119.16 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.16 => 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)) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2] :
% 119.16/119.16 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.16 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.16 <=> 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2] :
% 119.16/119.16 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.16 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.16 <=> 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))) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 119.16/119.16 ! [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))) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__atMost,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_atMost__eq__iff,axiom,
% 119.16/119.16 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.16 ( class_Orderings_Olinorder(T_b)
% 119.16/119.16 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 119.16/119.16 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__lessThan,axiom,
% 119.16/119.16 ! [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 ).
% 119.16/119.16
% 119.16/119.16 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 119.16/119.16 ! [V_A_2] :
% 119.16/119.16 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.16 => 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)) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 119.16/119.16 ! [V_B_2,V_A_2] :
% 119.16/119.16 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.16 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.16 => ( V_A_2 = V_B_2
% 119.16/119.16 <=> 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) ) ) ) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__atLeastLessThan,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.16
% 119.16/119.16 fof(fact_card__greaterThanAtMost,axiom,
% 119.16/119.16 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_nat__set__def,axiom,
% 119.16/119.17 ! [V_S_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_S_2)
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeast0AtMost,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_lessThan__Suc__atMost,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atMost__subset__iff,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2] :
% 119.16/119.17 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 119.16/119.17 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__atLeastAtMost,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__atMost,axiom,
% 119.16/119.17 ! [V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__greaterThan,axiom,
% 119.16/119.17 ! [V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__card__intvl__is__intvl,axiom,
% 119.16/119.17 ! [V_k_2,V_A_2] :
% 119.16/119.17 ( 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)))))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 119.16/119.17 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 119.16/119.17 ! [V_A_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => 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 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__atMost__Suc,axiom,
% 119.16/119.17 ! [V_na_2,V_f_2,T_b] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__greaterThanAtMost__int,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 119.16/119.17 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.17 & class_Groups_Ocomm__monoid__mult(T_b) )
% 119.16/119.17 => ( V_A_2 = V_B_2
% 119.16/119.17 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.17 => ( ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.16/119.17 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 119.16/119.17 => 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) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I19_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I18_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 119.16/119.17 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.17 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 119.16/119.17 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 119.16/119.17 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 119.16/119.17 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 119.16/119.17 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_upto_Opinduct,axiom,
% 119.16/119.17 ! [V_P_2,V_a1_2,V_a0_2] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ( ! [B_i,B_j] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 119.16/119.17 => 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)) )
% 119.16/119.17 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 119.16/119.17 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup1E,axiom,
% 119.16/119.17 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 119.16/119.17 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup1CI,axiom,
% 119.16/119.17 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 119.16/119.17 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 119.16/119.17 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__Un,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__Diff,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__Diff__cancel2,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__Diff__cancel,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__max,axiom,
% 119.16/119.17 ! [T_b] :
% 119.16/119.17 ( ( class_Lattices_Osemilattice__sup(T_b)
% 119.16/119.17 & class_Orderings_Olinorder(T_b) )
% 119.16/119.17 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__absorb,axiom,
% 119.16/119.17 ! [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 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__commute,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__left__absorb,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__left__commute,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__assoc,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bex__Un,axiom,
% 119.16/119.17 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( ? [B_x] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 & hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.17 <=> ( ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.17 | ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 119.16/119.17 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ball__Un,axiom,
% 119.16/119.17 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( ! [B_x] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.17 <=> ( ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.17 & ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup_Oidem,axiom,
% 119.16/119.17 ! [V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__idem,axiom,
% 119.16/119.17 ! [V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup_Ocommute,axiom,
% 119.16/119.17 ! [V_b,V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_inf__sup__aci_I5_J,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__commute,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup_Oleft__idem,axiom,
% 119.16/119.17 ! [V_b,V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_inf__sup__aci_I8_J,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__left__idem,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup_Oleft__commute,axiom,
% 119.16/119.17 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_inf__sup__aci_I7_J,axiom,
% 119.16/119.17 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__left__commute,axiom,
% 119.16/119.17 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup_Oassoc,axiom,
% 119.16/119.17 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_inf__sup__aci_I6_J,axiom,
% 119.16/119.17 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__assoc,axiom,
% 119.16/119.17 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__apply,axiom,
% 119.16/119.17 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.17 ( class_Lattices_Olattice(T_b)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__fun__def,axiom,
% 119.16/119.17 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.17 ( class_Lattices_Olattice(T_b)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Sup__fin_Oidem,axiom,
% 119.16/119.17 ! [V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup1I1,axiom,
% 119.16/119.17 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 119.16/119.17 ( hBOOL(hAPP(V_A_2,V_x_2))
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup1I2,axiom,
% 119.16/119.17 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 119.16/119.17 ( hBOOL(hAPP(V_B_2,V_x_2))
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__supE,axiom,
% 119.16/119.17 ! [V_x,V_b,V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( 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))
% 119.16/119.17 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__mono,axiom,
% 119.16/119.17 ! [V_d,V_b,V_c,V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 119.16/119.17 => 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))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__least,axiom,
% 119.16/119.17 ! [V_z,V_x,V_y,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__supI,axiom,
% 119.16/119.17 ! [V_b,V_x,V_a,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__absorb1,axiom,
% 119.16/119.17 ! [V_x,V_y,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__absorb2,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__supI2,axiom,
% 119.16/119.17 ! [V_a,V_b,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__supI1,axiom,
% 119.16/119.17 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__sup__iff,axiom,
% 119.16/119.17 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_b)
% 119.16/119.17 => ( 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))
% 119.16/119.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__iff__sup,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.16/119.17 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__ge2,axiom,
% 119.16/119.17 ! [V_x,V_y,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_inf__sup__ord_I4_J,axiom,
% 119.16/119.17 ! [V_x,V_y,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__ge1,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_inf__sup__ord_I3_J,axiom,
% 119.16/119.17 ! [V_y,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Olattice(T_a)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__upper1,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__upper2,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__Un__eq,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__absorb1,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__absorb2,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__least,axiom,
% 119.16/119.17 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__mono,axiom,
% 119.16/119.17 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_mono__Un,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.17 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_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)))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_less__supI1,axiom,
% 119.16/119.17 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_less__supI2,axiom,
% 119.16/119.17 ! [V_a,V_b,V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Osemilattice__sup(T_a)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__simps_I7_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__simps_I6_J,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__extend__simps_I7_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__INT__distrib,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__extend__simps_I6_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__INT__distrib2,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_mono__sup,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.17 ( ( class_Lattices_Osemilattice__sup(T_c)
% 119.16/119.17 & class_Lattices_Osemilattice__sup(T_b) )
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_A_2),V_B_2)))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I17_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__partition,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => 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 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__subset__conv,axiom,
% 119.16/119.17 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I20_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__Diff__eq,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__greaterThanLessThan,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_min__max_Omono__sup,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.17 ( ( class_Lattices_Osemilattice__sup(T_c)
% 119.16/119.17 & class_Orderings_Olinorder(T_b) )
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_A_2),V_B_2)))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I21_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThan__add__Un,axiom,
% 119.16/119.17 ! [V_k_2,V_j_2,V_i_2] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I8_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I22_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I9_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I11_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I15_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I16_J,axiom,
% 119.16/119.17 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I10_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I7_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 119.16/119.17 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.17 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I12_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I13_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__le__eq__Un0,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_coinduct3__mono__lemma,axiom,
% 119.16/119.17 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 119.16/119.17 => c_Orderings_Oorder__class_Omono(T_b,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(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))),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_f_2)),V_X_2))),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__ident,axiom,
% 119.16/119.17 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP1__iff,axiom,
% 119.16/119.17 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUPR__apply,axiom,
% 119.16/119.17 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__UN__flatten,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I9_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I9_J,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP__commute,axiom,
% 119.16/119.17 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ball__UN,axiom,
% 119.16/119.17 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( ! [B_x] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 => ! [B_xa] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 119.16/119.17 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeast__eq__iff,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 119.16/119.17 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__nat__def,axiom,
% 119.16/119.17 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__subset__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I10_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__UN,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I10_J,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__Un,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__Un__distrib,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I6_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I6_J,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__simps_I9_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__extend__simps_I9_J,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeast__Suc__greaterThan,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP__le__iff,axiom,
% 119.16/119.17 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( 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))
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_less__SUP__iff,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 119.16/119.17 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 & class_Orderings_Olinorder(T_b) )
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I7_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I7_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__UN,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__INT,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP__subset,axiom,
% 119.16/119.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeast__subset__iff,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__lessThan,axiom,
% 119.16/119.17 ! [V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__atLeast,axiom,
% 119.16/119.17 ! [V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__le__add__shift,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I14_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__uminus__atMost,axiom,
% 119.16/119.17 ! [V_x_2,T_b] :
% 119.16/119.17 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__uminus__atLeast,axiom,
% 119.16/119.17 ! [V_x_2,T_b] :
% 119.16/119.17 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__diff__nat,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_coinduct,axiom,
% 119.16/119.17 ! [V_X_2,V_f_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_coinduct__lemma,axiom,
% 119.16/119.17 ! [V_f_2,V_X_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))))
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__atLeastLessThan,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__atLeastAtMost__int,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__atLeastAtMost,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__lessThan,axiom,
% 119.16/119.17 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__atMost,axiom,
% 119.16/119.17 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__atLeastLessThan__int,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__greaterThanAtMost,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__greaterThanAtMost__int,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__greaterThanLessThan__int,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__greaterThanLessThan,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__insert__right,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__insert__left,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 119.16/119.17 ! [V_A_2] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 119.16/119.17 <=> 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__insert,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__nat__set__iff__bounded,axiom,
% 119.16/119.17 ! [V_N_2] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 119.16/119.17 <=> ? [B_m] :
% 119.16/119.17 ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__absorb2,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__commute,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__code,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 119.16/119.17 <=> ( V_y_2 = V_x_2
% 119.16/119.17 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__insertI,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__insertI2,axiom,
% 119.16/119.17 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__mono,axiom,
% 119.16/119.17 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 119.16/119.17 ! [V_N_2] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 119.16/119.17 <=> ? [B_m] :
% 119.16/119.17 ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__simps_I5_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__extend__simps_I5_J,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_gfp__upperbound,axiom,
% 119.16/119.17 ! [V_f_2,V_X_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2)))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 119.16/119.17 ! [V_A_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 119.16/119.17 <=> 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_gfp__unfold,axiom,
% 119.16/119.17 ! [V_f_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_def__gfp__unfold,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__infinite,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum_Oinfinite,axiom,
% 119.16/119.17 ! [V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_lessThan__Suc,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atMost__Suc,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__eq__0__iff,axiom,
% 119.16/119.17 ! [V_f_2,V_F_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.17 => ( 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)
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 119.16/119.17 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__insert,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum_Odistrib,axiom,
% 119.16/119.17 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_gfp__lemma3,axiom,
% 119.16/119.17 ! [V_f_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_gfp__lemma2,axiom,
% 119.16/119.17 ! [V_f_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastAtMostSuc__conv,axiom,
% 119.16/119.17 ! [V_na_2,V_m_2] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__eq__Suc0__iff,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( 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))
% 119.16/119.17 <=> ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 119.16/119.17 & ! [B_xa] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 119.16/119.17 => ( B_x != B_xa
% 119.16/119.17 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__eq__1__iff,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( 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)
% 119.16/119.17 <=> ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 119.16/119.17 & ! [B_xa] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 119.16/119.17 => ( B_x != B_xa
% 119.16/119.17 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__diff,axiom,
% 119.16/119.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Oab__group__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_def__coinduct,axiom,
% 119.16/119.17 ! [V_X_2,V_f_2,V_A_2,T_b] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.17 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),V_A_2))))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__INT,axiom,
% 119.16/119.17 ! [V_A_2,T_c,V_I_2,T_b] :
% 119.16/119.17 ( ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 119.16/119.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__psubset,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( 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)))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_diff__card__le__card__Diff,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => 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)))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff__subset,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite_OinsertI,axiom,
% 119.16/119.17 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__imageI,axiom,
% 119.16/119.17 ! [V_h_2,T_c,V_F_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__Diff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( class_Finite__Set_Ofinite(T_b)
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__code,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( class_Finite__Set_Ofinite(T_b)
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__insert,axiom,
% 119.16/119.17 ! [V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 119.16/119.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_rev__finite__subset,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__subset,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__Un,axiom,
% 119.16/119.17 ! [V_G_2,V_F_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__UnI,axiom,
% 119.16/119.17 ! [V_G_2,V_F_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__Diff2,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__UN,axiom,
% 119.16/119.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__surj,axiom,
% 119.16/119.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( 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)))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__Diff__insert,axiom,
% 119.16/119.17 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 119.16/119.17 ( 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))))
% 119.16/119.17 <=> 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__infinite,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__ge__0__finite,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__insert__le,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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)))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__seteq,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( 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)))
% 119.16/119.17 => V_A_2 = V_B_2 ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__mono,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__image__le,axiom,
% 119.16/119.17 ! [V_f_2,T_c,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_psubset__card__mono,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 119.16/119.17 ! [V_x_2,V_y_2,V_c_2] :
% 119.16/119.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.17 => 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))) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 119.16/119.17 => 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)) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__mono3,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 119.16/119.17 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( ! [B_x] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 119.16/119.17 => 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))) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Plus__conv__if,axiom,
% 119.16/119.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.17 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card_Oinsert__remove,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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)))))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite_OemptyI,axiom,
% 119.16/119.17 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_empty__subsetI,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite_Oequations_I1_J,axiom,
% 119.16/119.17 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_empty__not__insert,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__not__empty,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_doubleton__eq__iff,axiom,
% 119.16/119.17 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( 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))))
% 119.16/119.17 <=> ( ( V_a_2 = V_c_2
% 119.16/119.17 & V_b_2 = V_d_2 )
% 119.16/119.17 | ( V_a_2 = V_d_2
% 119.16/119.17 & V_b_2 = V_c_2 ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_singleton__inject,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => V_a_2 = V_b_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__cancel,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__empty,axiom,
% 119.16/119.17 ! [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 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_empty__Diff,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 119.16/119.17 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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 119.16/119.17 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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__empty,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( 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))))
% 119.16/119.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__is__empty,axiom,
% 119.16/119.17 ! [V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__empty,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_empty__is__image,axiom,
% 119.16/119.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.17 ( 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)
% 119.16/119.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ball__empty,axiom,
% 119.16/119.17 ! [V_P_2,T_b,B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.17 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bot__apply,axiom,
% 119.16/119.17 ! [V_x_2,T_c,T_b] :
% 119.16/119.17 ( class_Orderings_Obot(T_b)
% 119.16/119.17 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bot__fun__def,axiom,
% 119.16/119.17 ! [V_x_2,T_c,T_b] :
% 119.16/119.17 ( class_Orderings_Obot(T_b)
% 119.16/119.17 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__empty,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__empty__right,axiom,
% 119.16/119.17 ! [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 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__empty__left,axiom,
% 119.16/119.17 ! [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 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 119.16/119.17 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_not__psubset__empty,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bot__least,axiom,
% 119.16/119.17 ! [V_x,T_a] :
% 119.16/119.17 ( class_Orderings_Obot(T_a)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP__const,axiom,
% 119.16/119.17 ! [V_M_2,T_b,V_A_2,T_c] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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 ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UNION__empty__conv_I1_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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)
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__empty2,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__constant,axiom,
% 119.16/119.17 ! [V_c_2,T_c,T_b,V_A_2] :
% 119.16/119.17 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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 ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UNION__empty__conv_I2_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INF__const,axiom,
% 119.16/119.17 ! [V_M_2,T_b,V_A_2,T_c] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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 ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__bot__left,axiom,
% 119.16/119.17 ! [V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Obounded__lattice__bot(T_a)
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__bot__right,axiom,
% 119.16/119.17 ! [V_x,T_a] :
% 119.16/119.17 ( class_Lattices_Obounded__lattice__bot(T_a)
% 119.16/119.17 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__eq__bot__iff,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( class_Lattices_Obounded__lattice__bot(T_b)
% 119.16/119.17 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 119.16/119.17 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 119.16/119.17 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__Plus__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__Plus,axiom,
% 119.16/119.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__PlusD_I1_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_finite__PlusD_I2_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__empty,axiom,
% 119.16/119.17 ! [V_f_2,T_c,T_b] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum_Oempty,axiom,
% 119.16/119.17 ! [V_g_2,T_c,T_b] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__singletonD,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( 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)))))
% 119.16/119.17 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__is__Un,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastatMost__empty__iff2,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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)
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastatMost__empty__iff,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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))
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastatMost__empty,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__insert,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__insert2,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__Diff__single,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThan__empty,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card_Oempty,axiom,
% 119.16/119.17 ! [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) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThan__empty__iff,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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))
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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)
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastAtMost__singleton_H,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( V_a_2 = V_b_2
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 119.16/119.17 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> ( V_a_2 = V_b_2
% 119.16/119.17 & V_b_2 = V_c_2 ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastAtMost__singleton,axiom,
% 119.16/119.17 ! [V_a_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__Compl__self__eq,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThan0,axiom,
% 119.16/119.17 ! [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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_greaterThanAtMost__empty,axiom,
% 119.16/119.17 ! [V_k_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 119.16/119.17 ! [V_l_2,V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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))
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 119.16/119.17 ! [V_l_2,V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( 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)
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_greaterThanLessThan__empty,axiom,
% 119.16/119.17 ! [V_k_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_lessThan__0,axiom,
% 119.16/119.17 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)) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__constant__conv,axiom,
% 119.16/119.17 ! [V_c_2,T_c,T_b,V_A_2] :
% 119.16/119.17 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I1_J,axiom,
% 119.16/119.17 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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))) )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__singleton,axiom,
% 119.16/119.17 ! [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 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I1_J,axiom,
% 119.16/119.17 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2] :
% 119.16/119.17 ( 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)
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2] :
% 119.16/119.17 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 119.16/119.17 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I2_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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 )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__extend__simps_I3_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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 )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I2_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__simps_I3_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__eq__0__iff,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.17 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_single__Diff__lessThan,axiom,
% 119.16/119.17 ! [V_k_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oorder(T_b)
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__eq__UN,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThan__singleton,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__extend__simps_I4_J,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.17 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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 )
% 119.16/119.17 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atMost__0,axiom,
% 119.16/119.17 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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2] :
% 119.16/119.17 ( V_a_2 = V_b_2
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 119.16/119.17 ! [V_c_2,V_b_2,V_a_2] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( V_a_2 = V_b_2
% 119.16/119.17 & V_b_2 = V_c_2 ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeast__Suc,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_greaterThan__Suc,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__gt__0__iff,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_simp__from__to,axiom,
% 119.16/119.17 ! [V_i_2,V_j_2] :
% 119.16/119.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I2_J,axiom,
% 119.16/119.17 ! [V_u_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeastLessThanSuc,axiom,
% 119.16/119.17 ! [V_na_2,V_m_2] :
% 119.16/119.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I1_J,axiom,
% 119.16/119.17 ! [V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Plus,axiom,
% 119.16/119.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum_Oinsert__remove,axiom,
% 119.16/119.17 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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)))))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__insert,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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)))))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff1__le,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I6_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I5_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I3_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ivl__disj__un_I4_J,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.17 ( class_Orderings_Olinorder(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_the__elem__def,axiom,
% 119.16/119.17 ! [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))))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 119.16/119.17 ! [V_k_2,V_l_2] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_the__elem__eq,axiom,
% 119.16/119.17 ! [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 ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Plus__eq__empty__conv,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bot__nat__def,axiom,
% 119.16/119.17 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_nat__def,axiom,
% 119.16/119.17 ! [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)))))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff__singleton,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff__singleton__if,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_folding__one_Oinsert__remove,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.17 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.17 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 119.16/119.17 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.17 => 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)))))) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_equalityCE,axiom,
% 119.16/119.17 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 119.16/119.17 ( V_A_2 = V_B_2
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 119.16/119.17 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INF2__E,axiom,
% 119.16/119.17 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INF2__D,axiom,
% 119.16/119.17 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP2__I,axiom,
% 119.16/119.17 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_emptyE,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insertE,axiom,
% 119.16/119.17 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 119.16/119.17 => ( V_a_2 != V_b_2
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insertCI,axiom,
% 119.16/119.17 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 119.16/119.17 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 119.16/119.17 => V_a_2 = V_b_2 )
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subsetD,axiom,
% 119.16/119.17 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__eqI,axiom,
% 119.16/119.17 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 119.16/119.17 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UnE,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UnCI,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 119.16/119.17 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_DiffI,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_DiffE,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ComplI,axiom,
% 119.16/119.17 ! [V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__I,axiom,
% 119.16/119.17 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_SUP1__I,axiom,
% 119.16/119.17 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INF1__D,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INF1__E,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__D,axiom,
% 119.16/119.17 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__E,axiom,
% 119.16/119.17 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_mem__splitI,axiom,
% 119.16/119.17 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 119.16/119.17 => 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)))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_pair__imageI,axiom,
% 119.16/119.17 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_all__not__in__conv,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ex__in__conv,axiom,
% 119.16/119.17 ! [V_A_2,T_b] :
% 119.16/119.17 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_empty__iff,axiom,
% 119.16/119.17 ! [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)))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_equals0D,axiom,
% 119.16/119.17 ! [V_a_2,T_b,V_A_2] :
% 119.16/119.17 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_DiffD1,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_DiffD2,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__absorb,axiom,
% 119.16/119.17 ! [V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insertI2,axiom,
% 119.16/119.17 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__ident,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 => ( 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)
% 119.16/119.17 <=> V_A_2 = V_B_2 ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__iff,axiom,
% 119.16/119.17 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 119.16/119.17 <=> ( V_a_2 = V_b_2
% 119.16/119.17 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insertI1,axiom,
% 119.16/119.17 ! [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))) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ComplE,axiom,
% 119.16/119.17 ! [V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ComplD,axiom,
% 119.16/119.17 ! [V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Compl__iff,axiom,
% 119.16/119.17 ! [V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 119.16/119.17 ! [V_A_2,V_x_2] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 119.16/119.17 <=> 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_rev__image__eqI,axiom,
% 119.16/119.17 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_imageI,axiom,
% 119.16/119.17 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__iff,axiom,
% 119.16/119.17 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 119.16/119.17 <=> ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_mem__def,axiom,
% 119.16/119.17 ! [V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Rep__Integ__inject,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2] :
% 119.16/119.17 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 119.16/119.17 <=> V_x_2 = V_y_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_eqset__imp__iff,axiom,
% 119.16/119.17 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 119.16/119.17 ( V_A_2 = V_B_2
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_eqelem__imp__iff,axiom,
% 119.16/119.17 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 119.16/119.17 ( V_x_2 = V_y_2
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_eq__mem__trans,axiom,
% 119.16/119.17 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 119.16/119.17 ( V_a_2 = V_b_2
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_pred__equals__eq,axiom,
% 119.16/119.17 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.17 ( 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)
% 119.16/119.17 <=> V_R_2 = V_S_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_eq__mem,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 119.16/119.17 <=> V_x_2 = V_y_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_in__mono,axiom,
% 119.16/119.17 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_set__rev__mp,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_set__mp,axiom,
% 119.16/119.17 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_weak__coinduct,axiom,
% 119.16/119.17 ! [V_f_2,V_X_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,V_X_2)))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UnI2,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UnI1,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Un__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_psubsetD,axiom,
% 119.16/119.17 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bot__empty__eq,axiom,
% 119.16/119.17 ! [V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_pred__equals__eq2,axiom,
% 119.16/119.17 ! [V_S_2,V_R_2,T_c,T_b] :
% 119.16/119.17 ( 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)
% 119.16/119.17 <=> V_R_2 = V_S_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__Un__eq2,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_bot__empty__eq2,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,T_c,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> 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)))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_pred__subset__eq,axiom,
% 119.16/119.17 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_sup__Un__eq,axiom,
% 119.16/119.17 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ? [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_folding__one_Oinsert,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.17 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.17 => 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)) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_singleton__iff,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.17 ( 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)))))
% 119.16/119.17 <=> V_b_2 = V_a_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_singletonE,axiom,
% 119.16/119.17 ! [V_a_2,V_b_2,T_b] :
% 119.16/119.17 ( 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)))))
% 119.16/119.17 => V_b_2 = V_a_2 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__subset,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__insert,axiom,
% 119.16/119.17 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( 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)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__image,axiom,
% 119.16/119.17 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_weak__coinduct__image,axiom,
% 119.16/119.17 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.17 => ( 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_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2))))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_g_2,V_a_2)),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_c,tc_HOL_Obool),V_f_2))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__Diff__if,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 119.16/119.17 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 => 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) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__Diff1,axiom,
% 119.16/119.17 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_lessThan__iff,axiom,
% 119.16/119.17 ! [V_k_2,V_i_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oord(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 119.16/119.17 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 119.16/119.17 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 119.16/119.17 ! [V_A_2,V_x_2] :
% 119.16/119.17 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 119.16/119.17 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 119.16/119.17 <=> 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))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atMost__iff,axiom,
% 119.16/119.17 ! [V_k_2,V_i_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oord(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_atLeast__iff,axiom,
% 119.16/119.17 ! [V_k_2,V_i_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oord(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_greaterThan__iff,axiom,
% 119.16/119.17 ! [V_k_2,V_i_2,T_b] :
% 119.16/119.17 ( class_Orderings_Oord(T_b)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 119.16/119.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_gfp__fun__UnI2,axiom,
% 119.16/119.17 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 119.16/119.17 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_le__SUPI,axiom,
% 119.16/119.17 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 119.16/119.17 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INF__leI,axiom,
% 119.16/119.17 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 119.16/119.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_folding__one_Oremove,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.17 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.17 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 119.16/119.17 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.17 => 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)))))) ) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__insert__distrib,axiom,
% 119.16/119.17 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__upper,axiom,
% 119.16/119.17 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_UN__absorb,axiom,
% 119.16/119.17 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 119.16/119.17 => 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) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__insert__distrib,axiom,
% 119.16/119.17 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 119.16/119.17 => 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_INT__lower,axiom,
% 119.16/119.17 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_pred__subset__eq2,axiom,
% 119.16/119.17 ! [V_S_2,V_R_2,T_c,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Diff__insert__absorb,axiom,
% 119.16/119.17 ! [V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_insert__Diff,axiom,
% 119.16/119.17 ! [V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2] :
% 119.16/119.17 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__delta_H,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.17 => 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) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.17 => 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) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__delta,axiom,
% 119.16/119.17 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.17 => 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) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.17 => 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) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_coinduct__set,axiom,
% 119.16/119.17 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 119.16/119.17 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_def__coinduct__set,axiom,
% 119.16/119.17 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 119.16/119.17 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.17 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2))))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_image__constant,axiom,
% 119.16/119.17 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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))) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_folding__one_Osingleton,axiom,
% 119.16/119.17 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 119.16/119.17 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.17 => 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 ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum_Oinsert,axiom,
% 119.16/119.17 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__insert,axiom,
% 119.16/119.17 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_diff__single__insert,axiom,
% 119.16/119.17 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( 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))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_subset__insert__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__insert__if,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__insert__disjoint,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card_Oinsert,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_psubset__insert__iff,axiom,
% 119.16/119.17 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( 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)))
% 119.16/119.17 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__diff1__nat,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 119.16/119.17 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__diff1_H,axiom,
% 119.16/119.17 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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)))))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum_Oremove,axiom,
% 119.16/119.17 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)))))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__diff1__ring,axiom,
% 119.16/119.17 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Rings_Oring(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_setsum__diff1,axiom,
% 119.16/119.17 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 119.16/119.17 ( class_Groups_Oab__group__add(T_c)
% 119.16/119.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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)) )
% 119.16/119.17 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => 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) ) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Suc__Diff1,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff2__less,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 119.16/119.17 => 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))) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff1__less,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card__Diff__insert,axiom,
% 119.16/119.17 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 119.16/119.17 => 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)) ) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_card_Oremove,axiom,
% 119.16/119.17 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.17 => 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)))))) ) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_in__rel__def,axiom,
% 119.16/119.17 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 119.16/119.17 <=> 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)) ) ).
% 119.16/119.17
% 119.16/119.17 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 119.16/119.17 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.17 ( ! [B_x] :
% 119.16/119.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.17 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 119.16/119.17 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_bset_I8_J,axiom,
% 119.16/119.18 ! [V_B_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 119.16/119.18 => ! [B_x] :
% 119.16/119.18 ( ! [B_xa] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xb] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.18 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_aset_I6_J,axiom,
% 119.16/119.18 ! [V_A_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 119.16/119.18 => ! [B_x] :
% 119.16/119.18 ( ! [B_xa] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xb] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.18 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup2E,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup2CI,axiom,
% 119.16/119.18 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 119.16/119.18 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_bot2E,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_less__by__empty,axiom,
% 119.16/119.18 ! [V_B_2,T_b,V_A_2] :
% 119.16/119.18 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_SUP2__iff,axiom,
% 119.16/119.18 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> ? [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup2I1,axiom,
% 119.16/119.18 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup2I2,axiom,
% 119.16/119.18 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INF2__iff,axiom,
% 119.16/119.18 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> ! [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nitpick_Orefl_H__def,axiom,
% 119.16/119.18 ! [V_r_2,T_b] :
% 119.16/119.18 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 119.16/119.18 <=> ! [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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OgreaterThan__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_i_2] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OlessThan__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_i_2] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_bset_I3_J,axiom,
% 119.16/119.18 ! [V_B_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xa] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 119.16/119.18 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 119.16/119.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ord_OlessThan__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ord_OgreaterThan__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_aset_I4_J,axiom,
% 119.16/119.18 ! [V_A_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 119.16/119.18 => ! [B_x] :
% 119.16/119.18 ( ! [B_xa] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xb] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.18 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.18 => ( B_x != V_t_2
% 119.16/119.18 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_bset_I4_J,axiom,
% 119.16/119.18 ! [V_B_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 119.16/119.18 => ! [B_x] :
% 119.16/119.18 ( ! [B_xa] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xb] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.18 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.18 => ( B_x != V_t_2
% 119.16/119.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_bset_I7_J,axiom,
% 119.16/119.18 ! [V_B_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 119.16/119.18 => ! [B_x] :
% 119.16/119.18 ( ! [B_xa] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xb] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 119.16/119.18 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_aset_I5_J,axiom,
% 119.16/119.18 ! [V_A_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 119.16/119.18 => ! [B_x] :
% 119.16/119.18 ( ! [B_xa] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xb] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 119.16/119.18 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_aset_I3_J,axiom,
% 119.16/119.18 ! [V_A_2,V_t_2,V_D_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ! [B_xa] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 119.16/119.18 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 119.16/119.18 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_in__measure,axiom,
% 119.16/119.18 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 119.16/119.18 ( hBOOL(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)))
% 119.16/119.18 <=> 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OatLeast__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_i_2] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OatMost__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_i_2] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ord_OatMost__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ord_OatLeast__iff,axiom,
% 119.16/119.18 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__image__simple_Oremove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 119.16/119.18 => 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)))))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 119.16/119.18 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( 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)
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__mono2,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.18 => ( ! [B_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 119.16/119.18 => 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))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_flat__lub__def,axiom,
% 119.16/119.18 ! [V_b_2,V_A_2,T_b] :
% 119.16/119.18 ( ( 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)))))
% 119.16/119.18 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 119.16/119.18 & ( ~ 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)))))
% 119.16/119.18 => 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)))))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__image__simple_Oempty,axiom,
% 119.16/119.18 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.18 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__image__simple_Oinsert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.18 => 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)))))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mlex__leq,axiom,
% 119.16/119.18 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ( hBOOL(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))
% 119.16/119.18 => hBOOL(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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mlex__less,axiom,
% 119.16/119.18 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hBOOL(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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Least__mono,axiom,
% 119.16/119.18 ! [V_S_2,V_f_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Orderings_Oorder(T_c)
% 119.16/119.18 & class_Orderings_Oorder(T_b) )
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.18 => ( ? [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.16/119.18 & ! [B_xa] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) )
% 119.16/119.18 => c_Orderings_Oord__class_OLeast(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2))) = hAPP(V_f_2,c_Orderings_Oord__class_OLeast(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_def__coinduct3,axiom,
% 119.16/119.18 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 119.16/119.18 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),V_A_2)))))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_lfp__const,axiom,
% 119.16/119.18 ! [V_t_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_LeastI__ex,axiom,
% 119.16/119.18 ! [V_P_2,T_b] :
% 119.16/119.18 ( class_Orderings_Owellorder(T_b)
% 119.16/119.18 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.18 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_LeastI,axiom,
% 119.16/119.18 ! [V_k_2,V_P_2,T_b] :
% 119.16/119.18 ( class_Orderings_Owellorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(V_P_2,V_k_2))
% 119.16/119.18 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_lfp__lowerbound,axiom,
% 119.16/119.18 ! [V_A_2,V_f_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_A_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_lfp__unfold,axiom,
% 119.16/119.18 ! [V_f_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.18 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_def__lfp__unfold,axiom,
% 119.16/119.18 ! [V_f_2,V_h_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.18 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Least__le,axiom,
% 119.16/119.18 ! [V_k_2,V_P_2,T_b] :
% 119.16/119.18 ( class_Orderings_Owellorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(V_P_2,V_k_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_P_2)),V_k_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_not__less__Least,axiom,
% 119.16/119.18 ! [V_P_2,V_k_2,T_b] :
% 119.16/119.18 ( class_Orderings_Owellorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_P_2)))
% 119.16/119.18 => ~ hBOOL(hAPP(V_P_2,V_k_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_lfp__lemma2,axiom,
% 119.16/119.18 ! [V_f_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_lfp__lemma3,axiom,
% 119.16/119.18 ! [V_f_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Least__Suc,axiom,
% 119.16/119.18 ! [V_na_2,V_P_2] :
% 119.16/119.18 ( hBOOL(hAPP(V_P_2,V_na_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 119.16/119.18 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_OSuc))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_coinduct3__lemma,axiom,
% 119.16/119.18 ! [V_f_2,V_X_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))))
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_coinduct3,axiom,
% 119.16/119.18 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__bounded,axiom,
% 119.16/119.18 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 119.16/119.18 & class_Rings_Osemiring__1(T_c) )
% 119.16/119.18 => ( ! [B_i] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_card__Suc__eq,axiom,
% 119.16/119.18 ! [V_k_2,V_A_2,T_b] :
% 119.16/119.18 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 119.16/119.18 <=> ? [B_b,B_B] :
% 119.16/119.18 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 119.16/119.18 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 119.16/119.18 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.18 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 119.16/119.18 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 119.16/119.18 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 119.16/119.18 ! [V_k_2,V_l_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 119.16/119.18 ! [V_a_2,V_b_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 119.16/119.18 ! [V_l_2,V_k_2] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 119.16/119.18 ! [V_l_2,V_k_2] :
% 119.16/119.18 ( 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)
% 119.16/119.18 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2] :
% 119.16/119.18 ( 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)
% 119.16/119.18 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.18 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nats__number__of,axiom,
% 119.16/119.18 ! [V_w_2,T_b] :
% 119.16/119.18 ( class_Int_Onumber__ring(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__odd__less__0,axiom,
% 119.16/119.18 ! [V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Olinordered__idom(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => ( 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)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Oremove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Oremove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Osingleton,axiom,
% 119.16/119.18 ! [V_x_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Osingleton,axiom,
% 119.16/119.18 ! [V_x_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__0,axiom,
% 119.16/119.18 ! [T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__add,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__mult,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__diff,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__number__of,axiom,
% 119.16/119.18 ! [V_w_2,T_b] :
% 119.16/119.18 ( class_Int_Onumber__ring(T_b)
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__1,axiom,
% 119.16/119.18 ! [T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__minus,axiom,
% 119.16/119.18 ! [V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__power,axiom,
% 119.16/119.18 ! [V_na_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__of__nat,axiom,
% 119.16/119.18 ! [V_na_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__of__int,axiom,
% 119.16/119.18 ! [V_z_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max__ge,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max__in,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Oin__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Oin__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nats__0,axiom,
% 119.16/119.18 ! [T_b] :
% 119.16/119.18 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nats__add,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nats__mult,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nats__1,axiom,
% 119.16/119.18 ! [T_b] :
% 119.16/119.18 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_of__nat__in__Nats,axiom,
% 119.16/119.18 ! [V_na_2,T_b] :
% 119.16/119.18 ( class_Rings_Osemiring__1(T_b)
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__double__eq__0__iff,axiom,
% 119.16/119.18 ! [V_a_2,T_b] :
% 119.16/119.18 ( class_Int_Oring__char__0(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 119.16/119.18 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max__mono,axiom,
% 119.16/119.18 ! [V_N_2,V_M_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 119.16/119.18 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => 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))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Osubset__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max__insert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Ounion__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Osubset__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max__Un,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Ints__odd__nonzero,axiom,
% 119.16/119.18 ! [V_a_2,T_b] :
% 119.16/119.18 ( class_Int_Oring__char__0(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Oinsert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Oinsert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Oclosed,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [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))))))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Oclosed,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [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))))))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Oremove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 119.16/119.18 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 119.16/119.18 | ? [B_x,B_y] :
% 119.16/119.18 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 119.16/119.18 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 119.16/119.18 & 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Osingleton,axiom,
% 119.16/119.18 ! [V_x_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min__le,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min__in,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Oin__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min__antimono,axiom,
% 119.16/119.18 ! [V_N_2,V_M_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 119.16/119.18 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => 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))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min__insert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Osubset__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min__Un,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Oinsert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_minus__Min__eq__Max,axiom,
% 119.16/119.18 ! [V_S_2,T_b] :
% 119.16/119.18 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.18 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_minus__Max__eq__Min,axiom,
% 119.16/119.18 ! [V_S_2,T_b] :
% 119.16/119.18 ( class_Groups_Olinordered__ab__group__add(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.18 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Oclosed,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [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))))))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_in__lex__prod,axiom,
% 119.16/119.18 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( 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))
% 119.16/119.18 | ( V_a_2 = V_a_H_2
% 119.16/119.18 & 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_in__finite__psubset,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 119.16/119.18 ! [V_x_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 119.16/119.18 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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 ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_same__fstI,axiom,
% 119.16/119.18 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 119.16/119.18 ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [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))))))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__le__Sup,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 119.16/119.18 ! [V_x_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 119.16/119.18 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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 ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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 )
% 119.16/119.18 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.18 => 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)))))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [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))))))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__one_Oclosed,axiom,
% 119.16/119.18 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [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))))))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__image,axiom,
% 119.16/119.18 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 119.16/119.18 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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)))))) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__gen__delta,axiom,
% 119.16/119.18 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.18 => 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)))) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__triv,axiom,
% 119.16/119.18 ! [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 ).
% 119.16/119.18
% 119.16/119.18 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 119.16/119.18 ! [V_A_2,V_f_2,T_b] :
% 119.16/119.18 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.18 & class_Groups_Ocomm__monoid__mult(T_b) )
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__def,axiom,
% 119.16/119.18 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 119.16/119.18 ( ( V_x_2 = V_a_2
% 119.16/119.18 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 119.16/119.18 & ( V_x_2 != V_a_2
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__idem__iff,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 119.16/119.18 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__upd,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__same,axiom,
% 119.16/119.18 ! [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 ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__apply,axiom,
% 119.16/119.18 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 119.16/119.18 ( ( V_z_2 = V_x_2
% 119.16/119.18 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 119.16/119.18 & ( V_z_2 != V_x_2
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__twist,axiom,
% 119.16/119.18 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 119.16/119.18 ( V_a_2 != V_c_2
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__other,axiom,
% 119.16/119.18 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 119.16/119.18 ( V_z_2 != V_x_2
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_fun__upd__idem,axiom,
% 119.16/119.18 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 119.16/119.18 ( hAPP(V_f_2,V_x_2) = V_y_2
% 119.16/119.18 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__timesf,axiom,
% 119.16/119.18 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_of__int__setprod,axiom,
% 119.16/119.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.18 & class_Rings_Oring__1(T_b) )
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_of__nat__setprod,axiom,
% 119.16/119.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.18 & class_Rings_Osemiring__1(T_b) )
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_int__setprod,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__1,axiom,
% 119.16/119.18 ! [V_A_2,T_c,T_b] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_abs__setprod,axiom,
% 119.16/119.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( class_Fields_Olinordered__field(T_b)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__zero__iff,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 119.16/119.18 & class_Rings_Ono__zero__divisors(T_c) )
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( 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)
% 119.16/119.18 <=> ? [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__zero,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Rings_Ocomm__semiring__1(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ? [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Oempty,axiom,
% 119.16/119.18 ! [V_g_2,T_c,T_b] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__empty,axiom,
% 119.16/119.18 ! [V_f_2,T_c,T_b] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Oinfinite,axiom,
% 119.16/119.18 ! [V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__infinite,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__eq__1__iff,axiom,
% 119.16/119.18 ! [V_f_2,V_F_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.18 => ( 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)
% 119.16/119.18 <=> ! [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 119.16/119.18 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.18 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.18 & class_Groups_Ocomm__monoid__mult(T_b) )
% 119.16/119.18 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Odistrib,axiom,
% 119.16/119.18 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__dividef,axiom,
% 119.16/119.18 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Fields_Ofield__inverse__zero(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_dvd__setprod,axiom,
% 119.16/119.18 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Rings_Ocomm__semiring__1(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__pos__nat__iff,axiom,
% 119.16/119.18 ! [V_f_2,V_S_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.18 => ( 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)))
% 119.16/119.18 <=> ! [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__dvd__setprod__subset,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 & class_Rings_Odvd(T_c) )
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__delta_H,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.18 => 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) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__delta,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.18 => 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) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__constant,axiom,
% 119.16/119.18 ! [V_y_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__insert,axiom,
% 119.16/119.18 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Oinsert,axiom,
% 119.16/119.18 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Oinsert__remove,axiom,
% 119.16/119.18 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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)))))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Oremove,axiom,
% 119.16/119.18 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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)))))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__diff1,axiom,
% 119.16/119.18 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Fields_Ofield(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 119.16/119.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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)) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__nonneg__leq__bound,axiom,
% 119.16/119.18 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Oordered__ab__group__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 119.16/119.18 => ( ! [B_i] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 119.16/119.18 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__nonneg__0,axiom,
% 119.16/119.18 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Oordered__ab__group__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 119.16/119.18 => ( ! [B_i] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 119.16/119.18 => ( 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)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 119.16/119.18 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_pair__lessI2,axiom,
% 119.16/119.18 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 119.16/119.18 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( ! [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))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_pair__lessI1,axiom,
% 119.16/119.18 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_pair__leqI2,axiom,
% 119.16/119.18 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_smax__insertI,axiom,
% 119.16/119.18 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_smin__insertI,axiom,
% 119.16/119.18 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_pair__leqI1,axiom,
% 119.16/119.18 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_smax__emptyI,axiom,
% 119.16/119.18 ! [V_Y_2] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 119.16/119.18 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_smin__emptyI,axiom,
% 119.16/119.18 ! [V_X_2] :
% 119.16/119.18 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_wmin__insertI,axiom,
% 119.16/119.18 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_wmax__insertI,axiom,
% 119.16/119.18 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 119.16/119.18 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.18 ( ! [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_wmax__emptyI,axiom,
% 119.16/119.18 ! [V_X_2] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_wmin__emptyI,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__weak__def,axiom,
% 119.16/119.18 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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_max__weak__def,axiom,
% 119.16/119.18 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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__rpair__set,axiom,
% 119.16/119.18 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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_max__rpair__set,axiom,
% 119.16/119.18 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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_max__strict__def,axiom,
% 119.16/119.18 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_max__ext__additive,axiom,
% 119.16/119.18 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__strict__def,axiom,
% 119.16/119.18 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_max__extp__max__ext__eq,axiom,
% 119.16/119.18 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 119.16/119.18 ( 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)
% 119.16/119.18 <=> 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_less__than__iff,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_intrel__iff,axiom,
% 119.16/119.18 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_rp__inv__image__rp,axiom,
% 119.16/119.18 ! [V_f_2,T_c,V_P_2,T_b] :
% 119.16/119.18 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 119.16/119.18 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_pair__less__def,axiom,
% 119.16/119.18 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mlex__prod__def,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_rp__inv__image__def,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 119.16/119.18 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( ! [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))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Max_Ohom__commute,axiom,
% 119.16/119.18 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( ! [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))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_measure__def,axiom,
% 119.16/119.18 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_in__inv__image,axiom,
% 119.16/119.18 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 119.16/119.18 ( hBOOL(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)))
% 119.16/119.18 <=> 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Min_Ohom__commute,axiom,
% 119.16/119.18 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => ( ! [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))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Sup__fin_Ohom__commute,axiom,
% 119.16/119.18 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( ! [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))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.18 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_irrefl__def,axiom,
% 119.16/119.18 ! [V_r_2,T_b] :
% 119.16/119.18 ( c_Relation_Oirrefl(T_b,V_r_2)
% 119.16/119.18 <=> ! [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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Field__insert,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__mono__one__left,axiom,
% 119.16/119.18 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Field__empty,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mono__Field,axiom,
% 119.16/119.18 ! [V_s_2,V_r_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Field__Un,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_finite__Field,axiom,
% 119.16/119.18 ! [V_r_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 119.16/119.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__mono__one__right,axiom,
% 119.16/119.18 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__mono__zero__left,axiom,
% 119.16/119.18 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__mono__zero__right,axiom,
% 119.16/119.18 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_card__Pow,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_finite__empty__induct,axiom,
% 119.16/119.18 ! [V_P_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 119.16/119.18 => ( ! [B_a,B_A] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 119.16/119.18 => ( hBOOL(hAPP(V_P_2,B_A))
% 119.16/119.18 => 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)))))) ) ) )
% 119.16/119.18 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_PowI,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_finite__Pow__iff,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 119.16/119.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Cantors__paradox,axiom,
% 119.16/119.18 ! [V_A_2,T_b] :
% 119.16/119.18 ~ ? [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_image__Pow__surj,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.18 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__one__idem_Oidem,axiom,
% 119.16/119.18 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.18 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_PowD,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__iff,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__top,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__not__empty,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__bottom,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__empty,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__insert,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__INT__eq,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__mono,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Pow__subset,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__Pow__subset,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Powp__Pow__eq,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_image__Pow__mono,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__one__idem_Oin__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 119.16/119.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_finite__subset__induct,axiom,
% 119.16/119.18 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.18 => ( ! [B_a,B_F] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 119.16/119.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 119.16/119.18 => ( hBOOL(hAPP(V_P_2,B_F))
% 119.16/119.18 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 119.16/119.18 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__strict__mono,axiom,
% 119.16/119.18 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.18 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => ( ! [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 119.16/119.18 => 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))) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_equiv__intrel__iff,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2] :
% 119.16/119.18 ( 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))))
% 119.16/119.18 <=> 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__UN,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__Un,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__empty,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__mono,axiom,
% 119.16/119.18 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Image,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__INT__subset,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_rev__ImageI,axiom,
% 119.16/119.18 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => ( 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))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__iff,axiom,
% 119.16/119.18 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 119.16/119.18 <=> ? [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.18 & 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__eq__UN,axiom,
% 119.16/119.18 ! [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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__singleton__iff,axiom,
% 119.16/119.18 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 119.16/119.18 ( 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))))))
% 119.16/119.18 <=> 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_of__int,axiom,
% 119.16/119.18 ! [V_j_2,V_i_2,T_b] :
% 119.16/119.18 ( class_Rings_Oring__1(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_One__int__def,axiom,
% 119.16/119.18 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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mult,axiom,
% 119.16/119.18 ! [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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Rep__Integ__inverse,axiom,
% 119.16/119.18 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 119.16/119.18
% 119.16/119.18 fof(fact_minus,axiom,
% 119.16/119.18 ! [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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Zero__int__def,axiom,
% 119.16/119.18 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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_int__def,axiom,
% 119.16/119.18 ! [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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_add,axiom,
% 119.16/119.18 ! [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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_nat,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_minus__int__def,axiom,
% 119.16/119.18 ! [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))))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_less,axiom,
% 119.16/119.18 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 119.16/119.18 ( 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)))))))
% 119.16/119.18 <=> 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le,axiom,
% 119.16/119.18 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 119.16/119.18 ( 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)))))))
% 119.16/119.18 <=> 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_eq__Abs__Integ,axiom,
% 119.16/119.18 ! [V_z_2] :
% 119.16/119.18 ~ ! [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))))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotient__def,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ImageE,axiom,
% 119.16/119.18 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 119.16/119.18 => ~ ! [B_x] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotient__empty,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotient__is__empty2,axiom,
% 119.16/119.18 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( 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)
% 119.16/119.18 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotient__is__empty,axiom,
% 119.16/119.18 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotientI,axiom,
% 119.16/119.18 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_singleton__quotient,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_subset__equiv__class,axiom,
% 119.16/119.18 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( 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))))))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotientE,axiom,
% 119.16/119.18 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ~ ! [B_x] :
% 119.16/119.18 ( 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))))
% 119.16/119.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Id__on__def,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Id__on__def_H,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Id__on__empty,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Id__on__eqI,axiom,
% 119.16/119.18 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 119.16/119.18 ( V_a_2 = V_b_2
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Id__on__iff,axiom,
% 119.16/119.18 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 119.16/119.18 ( hBOOL(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)))
% 119.16/119.18 <=> ( V_x_2 = V_y_2
% 119.16/119.18 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_equiv__class__self,axiom,
% 119.16/119.18 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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)))))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_equiv__class__eq,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( 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))
% 119.16/119.18 => 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)))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotient__eq__iff,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 119.16/119.18 => ( V_X_2 = V_Y_2
% 119.16/119.18 <=> hBOOL(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)) ) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_quotient__eqI,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 119.16/119.18 => ( hBOOL(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))
% 119.16/119.18 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_eq__equiv__class,axiom,
% 119.16/119.18 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 119.16/119.18 ( 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))))
% 119.16/119.18 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_eq__equiv__class__iff,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 119.16/119.18 => ( 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))))
% 119.16/119.18 <=> hBOOL(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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_equiv__class__eq__iff,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( hBOOL(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))
% 119.16/119.18 <=> ( 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))))
% 119.16/119.18 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_equiv__class__subset,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( 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))
% 119.16/119.18 => 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)))))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_eq__equiv__class__iff2,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 119.16/119.18 => ( 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)
% 119.16/119.18 <=> hBOOL(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)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__equiv__class,axiom,
% 119.16/119.18 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__equiv__class2,axiom,
% 119.16/119.18 ! [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] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 119.16/119.18 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 119.16/119.18 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 119.16/119.18 => 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) ) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_equiv__class__nondisjoint,axiom,
% 119.16/119.18 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.18 => ( 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)))))))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf1E,axiom,
% 119.16/119.18 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 119.16/119.18 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf1I,axiom,
% 119.16/119.18 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 119.16/119.18 ( hBOOL(hAPP(V_A_2,V_x_2))
% 119.16/119.18 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_IntE,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_IntI,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_finite__Int,axiom,
% 119.16/119.18 ! [V_G_2,V_F_2,T_b] :
% 119.16/119.18 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.18 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__UN__distrib2,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__extend__simps_I4_J,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__UN__distrib,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__extend__simps_I5_J,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__simps_I4_J,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_UN__simps_I5_J,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Pow__Int__eq,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2] :
% 119.16/119.18 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.18 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_less__infI2,axiom,
% 119.16/119.18 ! [V_a,V_x,V_b,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_less__infI1,axiom,
% 119.16/119.18 ! [V_b,V_x,V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf1D2,axiom,
% 119.16/119.18 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf1D1,axiom,
% 119.16/119.18 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Inf__fin_Oidem,axiom,
% 119.16/119.18 ! [V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__fun__def,axiom,
% 119.16/119.18 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__apply,axiom,
% 119.16/119.18 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__assoc,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__aci_I2_J,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf_Oassoc,axiom,
% 119.16/119.18 ! [V_c,V_b,V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__left__commute,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__aci_I3_J,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf_Oleft__commute,axiom,
% 119.16/119.18 ! [V_c,V_a,V_b,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__left__idem,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__aci_I4_J,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf_Oleft__idem,axiom,
% 119.16/119.18 ! [V_b,V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__commute,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__aci_I1_J,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf_Ocommute,axiom,
% 119.16/119.18 ! [V_b,V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__idem,axiom,
% 119.16/119.18 ! [V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf_Oidem,axiom,
% 119.16/119.18 ! [V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__assoc,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__left__commute,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__left__absorb,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__commute,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__absorb,axiom,
% 119.16/119.18 ! [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 ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__min,axiom,
% 119.16/119.18 ! [T_b] :
% 119.16/119.18 ( ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.18 & class_Orderings_Olinorder(T_b) )
% 119.16/119.18 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__Int2,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__Int__distrib2,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__Diff,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__Int__distrib,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le__infE,axiom,
% 119.16/119.18 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( 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)))
% 119.16/119.18 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.18 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__mono,axiom,
% 119.16/119.18 ! [V_d,V_b,V_c,V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__greatest,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le__infI,axiom,
% 119.16/119.18 ! [V_b,V_a,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 119.16/119.18 => 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))) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__absorb2,axiom,
% 119.16/119.18 ! [V_x,V_y,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__absorb1,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le__infI2,axiom,
% 119.16/119.18 ! [V_a,V_x,V_b,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le__infI1,axiom,
% 119.16/119.18 ! [V_b,V_x,V_a,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le__inf__iff,axiom,
% 119.16/119.18 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.18 => ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.16/119.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_le__iff__inf,axiom,
% 119.16/119.18 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.16/119.18 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__le2,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__ord_I2_J,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__le1,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Osemilattice__inf(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__ord_I1_J,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__lower1,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__lower2,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__absorb2,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__absorb1,axiom,
% 119.16/119.18 ! [V_A_2,V_B_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__greatest,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__mono,axiom,
% 119.16/119.18 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INT__Int__distrib,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__Int__eq,axiom,
% 119.16/119.18 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_IntD2,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_IntD1,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__iff,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.18 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup__inf__distrib2,axiom,
% 119.16/119.18 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.18 ( class_Lattices_Odistrib__lattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__distrib2,axiom,
% 119.16/119.18 ! [V_x,V_z,V_y,T_a] :
% 119.16/119.18 ( class_Lattices_Odistrib__lattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup__inf__distrib1,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Odistrib__lattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__distrib1,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Odistrib__lattice(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_sup__inf__absorb,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__sup__absorb,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Int__crazy,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Int__distrib2,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__Un__distrib2,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Int__distrib,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__Un__distrib,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__empty__left,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__empty__right,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_disjoint__iff__not__equal,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> ! [B_x] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.18 => ! [B_xa] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 119.16/119.18 => B_x != B_xa ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__bot__left,axiom,
% 119.16/119.18 ! [V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Obounded__lattice__bot(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__bot__right,axiom,
% 119.16/119.18 ! [V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Obounded__lattice__bot(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_insert__inter__insert,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_distrib__sup__le,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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)))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_distrib__inf__le,axiom,
% 119.16/119.18 ! [V_z,V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Olattice(T_a)
% 119.16/119.18 => 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)))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_compl__inf__bot,axiom,
% 119.16/119.18 ! [V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__compl__bot,axiom,
% 119.16/119.18 ! [V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_diff__eq,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_compl__sup,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_compl__inf,axiom,
% 119.16/119.18 ! [V_y,V_x,T_a] :
% 119.16/119.18 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__insert__right,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 119.16/119.18 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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)) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__insert__left,axiom,
% 119.16/119.18 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 119.16/119.18 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 119.16/119.18 => 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)) )
% 119.16/119.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__insert__right__if0,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 119.16/119.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__insert__left__if0,axiom,
% 119.16/119.18 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 119.16/119.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__insert__right__if1,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__insert__left__if1,axiom,
% 119.16/119.18 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mono__inf,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Lattices_Osemilattice__inf(T_c)
% 119.16/119.18 & class_Lattices_Osemilattice__inf(T_b) )
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_image__Int__subset,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__triv,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__disjoint,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Int__assoc__eq,axiom,
% 119.16/119.18 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Un__Diff__Int,axiom,
% 119.16/119.18 ! [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 ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__Un,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__Int,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I11_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 119.16/119.18 ! [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))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Compl__disjoint,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Compl__disjoint2,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__Int__subset,axiom,
% 119.16/119.18 ! [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)))) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Compl__Int,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Compl__Un,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__Compl,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Diff__eq,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I14_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_mono__Int,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Image__Id__on,axiom,
% 119.16/119.18 ! [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) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INT__absorb,axiom,
% 119.16/119.18 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INT__extend__simps_I1_J,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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 )
% 119.16/119.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INT__extend__simps_I2_J,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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 )
% 119.16/119.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INT__insert,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_INT__Un,axiom,
% 119.16/119.18 ! [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)) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2] :
% 119.16/119.18 ( c_Nat__Transfer_Onat__set(V_A_2)
% 119.16/119.18 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_congruent2__implies__congruent,axiom,
% 119.16/119.18 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 119.16/119.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 119.16/119.18 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_inf__Sup__absorb,axiom,
% 119.16/119.18 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Lattices_Olattice(T_b)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.18 => 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 ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_min__max_Omono__inf,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.18 ( ( class_Lattices_Osemilattice__inf(T_c)
% 119.16/119.18 & class_Orderings_Olinorder(T_b) )
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_disjoint__eq__subset__Compl,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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))
% 119.16/119.18 <=> 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I15_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_lfp__induct,axiom,
% 119.16/119.18 ! [V_P_2,V_f_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2))),V_P_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_def__lfp__induct,axiom,
% 119.16/119.18 ! [V_P_2,V_f_2,V_A_2,T_b] :
% 119.16/119.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.18 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 119.16/119.18 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 119.16/119.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_P_2))),V_P_2))
% 119.16/119.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_P_2)) ) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__atLeastAtMost,axiom,
% 119.16/119.18 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__atLeastLessThan,axiom,
% 119.16/119.18 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I4_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I2_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I16_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I13_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I12_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__greaterThanAtMost,axiom,
% 119.16/119.18 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I9_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__greaterThanLessThan,axiom,
% 119.16/119.18 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__atLeastAtMostR1,axiom,
% 119.16/119.18 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__atLeastAtMostL1,axiom,
% 119.16/119.18 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I8_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I7_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__atLeastAtMostR2,axiom,
% 119.16/119.18 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_Int__atLeastAtMostL2,axiom,
% 119.16/119.18 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 119.16/119.18 ( class_Orderings_Olinorder(T_b)
% 119.16/119.18 => 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) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I3_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I1_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I10_J,axiom,
% 119.16/119.18 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I6_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_ivl__disj__int_I5_J,axiom,
% 119.16/119.18 ! [V_u_2,V_l_2,T_b] :
% 119.16/119.18 ( class_Orderings_Oorder(T_b)
% 119.16/119.18 => 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)) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.18 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__Un__Int,axiom,
% 119.16/119.18 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod__Un__Int,axiom,
% 119.16/119.18 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setprod_Ounion__inter,axiom,
% 119.16/119.18 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => 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)) ) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_card_Ounion__inter,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => 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)) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_card__Un__Int,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.18 => 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))) ) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_card__Diff__subset__Int,axiom,
% 119.16/119.18 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.18 ( 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)))
% 119.16/119.18 => 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))) ) ).
% 119.16/119.18
% 119.16/119.18 fof(fact_setsum__restrict__set,axiom,
% 119.16/119.18 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.18 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_quotient__disj,axiom,
% 119.16/119.19 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( V_X_2 = V_Y_2
% 119.16/119.19 | 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_atMost__Int__atLeast,axiom,
% 119.16/119.19 ! [V_na_2,T_b] :
% 119.16/119.19 ( class_Orderings_Oorder(T_b)
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__one_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__one_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_congruent__def,axiom,
% 119.16/119.19 ! [V_f_2,V_r_2,T_c,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__Un__disjoint,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__Un,axiom,
% 119.16/119.19 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Oab__group__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => 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))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod__Un__disjoint,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__Un__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sup__fin_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Min_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Min_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Max_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Max_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_congruent2D,axiom,
% 119.16/119.19 ! [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] :
% 119.16/119.19 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__Un__nat,axiom,
% 119.16/119.19 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_congruentD,axiom,
% 119.16/119.19 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_congruent2__implies__congruent__UN,axiom,
% 119.16/119.19 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 119.16/119.19 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 119.16/119.19 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__equiv__class__inject,axiom,
% 119.16/119.19 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 119.16/119.19 => ( 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)
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => ! [B_y] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 119.16/119.19 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 119.16/119.19 => 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)) ) ) )
% 119.16/119.19 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__equiv__class__type2,axiom,
% 119.16/119.19 ! [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] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 119.16/119.19 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 119.16/119.19 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( ! [B_x1] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 119.16/119.19 => ! [B_x2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__equiv__class__type,axiom,
% 119.16/119.19 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__nat__def,axiom,
% 119.16/119.19 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__Int__eq2,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card_Ounion__inter__neutral,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( ( ? [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)))
% 119.16/119.19 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod__Un,axiom,
% 119.16/119.19 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Fields_Ofield(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 119.16/119.19 => 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))) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod__Un__one,axiom,
% 119.16/119.19 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf2E,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 119.16/119.19 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf2I,axiom,
% 119.16/119.19 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf2D2,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf2D1,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__Un__zero,axiom,
% 119.16/119.19 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__on__def_H,axiom,
% 119.16/119.19 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 <=> ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Oremove,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.19 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 119.16/119.19 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.19 => 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)))))) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equiv__imp__dvd__card,axiom,
% 119.16/119.19 ! [V_k_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) )
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__on__Id__on,axiom,
% 119.16/119.19 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Osingleton,axiom,
% 119.16/119.19 ! [V_x_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__on__empty,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__on__Un,axiom,
% 119.16/119.19 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__on__Int,axiom,
% 119.16/119.19 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_sup__Inf__absorb,axiom,
% 119.16/119.19 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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 ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Oin__idem,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => 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) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__onD,axiom,
% 119.16/119.19 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__onD1,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( hBOOL(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))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__onD2,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 => ( hBOOL(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))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Osubset__idem,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.19 => 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) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Ounion__idem,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__le__Sup,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Oinsert,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.19 => 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 )
% 119.16/119.19 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 119.16/119.19 => 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)))))) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Ounion__inter,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Oclosed,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( ! [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))))))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__quotient__disjoint,axiom,
% 119.16/119.19 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( 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)
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Id__onE,axiom,
% 119.16/119.19 ! [V_A_2,V_c_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 119.16/119.19 => ~ ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__empty,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__uminus,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Groups_Oordered__ab__group__add(T_b)
% 119.16/119.19 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__Int,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__contraD,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( V_x_2 != V_y_2
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 119.16/119.19 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__iff,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 119.16/119.19 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 119.16/119.19 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__onD,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 119.16/119.19 => V_x_2 = V_y_2 ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_subset__inj__on,axiom,
% 119.16/119.19 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.19 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_strict__mono__imp__inj__on,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.19 ( ( class_Orderings_Oorder(T_c)
% 119.16/119.19 & class_Orderings_Olinorder(T_b) )
% 119.16/119.19 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2)
% 119.16/119.19 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__diff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__id2,axiom,
% 119.16/119.19 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__def,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => ! [B_xa] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 119.16/119.19 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 119.16/119.19 => B_x = B_xa ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__imageD,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 119.16/119.19 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ( 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)
% 119.16/119.19 <=> V_A_2 = V_B_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__image,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__strict__subset,axiom,
% 119.16/119.19 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__surj__inj,axiom,
% 119.16/119.19 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_endo__inj__surj,axiom,
% 119.16/119.19 ! [V_f_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 119.16/119.19 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__image__Int,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_eq__card__imp__inj__on,axiom,
% 119.16/119.19 ! [V_f_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( 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)
% 119.16/119.19 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__iff__eq__card,axiom,
% 119.16/119.19 ! [V_f_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 <=> 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__image__set__diff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_pigeonhole,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__fun__updI,axiom,
% 119.16/119.19 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__bij__eq,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.19 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__insert,axiom,
% 119.16/119.19 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 119.16/119.19 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 & ~ 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))))))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__Un,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.19 & 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__iff__card__le,axiom,
% 119.16/119.19 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.19 => ( ? [B_f] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 119.16/119.19 & 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)) )
% 119.16/119.19 <=> 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))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__inj__on__le,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.19 => 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))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_quotient__diff1,axiom,
% 119.16/119.19 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 119.16/119.19 ( 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)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__iff__surj,axiom,
% 119.16/119.19 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 119.16/119.19 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( ? [B_f] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 119.16/119.19 & 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)) )
% 119.16/119.19 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__INT,axiom,
% 119.16/119.19 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 119.16/119.19 => 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)) )
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_the__inv__into__into,axiom,
% 119.16/119.19 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__Suc,axiom,
% 119.16/119.19 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__add__nat,axiom,
% 119.16/119.19 ! [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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_swap__inj__on,axiom,
% 119.16/119.19 ! [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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_the__inv__into__f__eq,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_the__inv__into__f__f,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => 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 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__the__inv__into,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_the__inv__into__onto,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_the__inv__into__def,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_f__the__inv__into__f,axiom,
% 119.16/119.19 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 119.16/119.19 => 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 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__Un__disjoint,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_Ohom__commute,axiom,
% 119.16/119.19 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( ! [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))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.19 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 119.16/119.19 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.19 & class_Groups_Ocomm__monoid__mult(T_b) )
% 119.16/119.19 => ( V_A_2 = V_B_2
% 119.16/119.19 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.16/119.19 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 119.16/119.19 => 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) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__image__empty,axiom,
% 119.16/119.19 ! [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 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 119.16/119.19 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__image__distrib,axiom,
% 119.16/119.19 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__image__insert,axiom,
% 119.16/119.19 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Oab__semigroup__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum_Oeq__fold,axiom,
% 119.16/119.19 ! [V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum_OF__eq,axiom,
% 119.16/119.19 ! [V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod_OF__eq,axiom,
% 119.16/119.19 ! [V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod_Oeq__fold,axiom,
% 119.16/119.19 ! [V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__image__Un__Int,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => 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))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__eq__fold__image,axiom,
% 119.16/119.19 ! [V_f_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card_Oeq__fold__g,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__def,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_comm__monoid__big_OF__eq,axiom,
% 119.16/119.19 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 119.16/119.19 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.19 => 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) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.19 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__image__Un__one,axiom,
% 119.16/119.19 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__graph__permute__diff,axiom,
% 119.16/119.19 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 119.16/119.19 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__graph__imp__finite,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__graph_OemptyI,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_empty__fold__graphE,axiom,
% 119.16/119.19 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => V_x_2 = V_z_2 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__graph_OinsertI,axiom,
% 119.16/119.19 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 119.16/119.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__graph__insert__swap,axiom,
% 119.16/119.19 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 119.16/119.19 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.19 => ( 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))
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 119.16/119.19 => 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))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 119.16/119.19 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 119.16/119.19 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.19 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Diff1__fold__graph,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1Set_Ointros,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_compl__unique,axiom,
% 119.16/119.19 ! [V_y,V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.19 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 119.16/119.19 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 119.16/119.19 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_accp__acc__eq,axiom,
% 119.16/119.19 ! [V_x_2,V_r_2,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UNIV__I,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Int__UNIV__right,axiom,
% 119.16/119.19 ! [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 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Int__UNIV__left,axiom,
% 119.16/119.19 ! [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 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__top__left,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 119.16/119.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__top__right,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 119.16/119.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__eq__top__iff,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,T_b] :
% 119.16/119.19 ( class_Lattices_Obounded__lattice__top(T_b)
% 119.16/119.19 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 119.16/119.19 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 119.16/119.19 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UNIV__not__empty,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Un__UNIV__left,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Un__UNIV__right,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_range__composition,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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)
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 119.16/119.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Prod__UNIV,axiom,
% 119.16/119.19 ! [T_c,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 119.16/119.19 => 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)))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__fun__UNIVD2,axiom,
% 119.16/119.19 ! [T_c,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Plus__UNIV__iff,axiom,
% 119.16/119.19 ! [T_c,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__option__UNIV,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__UNIV,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Finite__Set_Ofinite(T_b)
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_infinite__UNIV__nat,axiom,
% 119.16/119.19 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_infinite__UNIV__int,axiom,
% 119.16/119.19 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_subset__UNIV,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UNIV__Plus__UNIV,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_top__apply,axiom,
% 119.16/119.19 ! [V_x_2,T_c,T_b] :
% 119.16/119.19 ( class_Orderings_Otop(T_b)
% 119.16/119.19 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_top__greatest,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Orderings_Otop(T_a)
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__UNIV__unit,axiom,
% 119.16/119.19 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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Pow__UNIV,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equiv__intrel,axiom,
% 119.16/119.19 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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__lessThan__UNIV,axiom,
% 119.16/119.19 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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_sup__top__right,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_sup__top__left,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Obounded__lattice__top(T_a)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__atMost__UNIV,axiom,
% 119.16/119.19 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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__int,axiom,
% 119.16/119.19 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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_injD,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 119.16/119.19 => V_x_2 = V_y_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__eq,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 119.16/119.19 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_empty__fold1SetE,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1Set__nonempty,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 119.16/119.19 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_range__eqI,axiom,
% 119.16/119.19 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 119.16/119.19 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_rangeI,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__atLeast__UNIV,axiom,
% 119.16/119.19 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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Diff__UNIV,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__image__eq__iff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( 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)
% 119.16/119.19 <=> V_A_2 = V_B_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__UNIV__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__empty__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__compl,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 119.16/119.19 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__partition2,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__partition,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 119.16/119.19 ! [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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 119.16/119.19 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 119.16/119.19 <=> V_x_2 = V_y_2 ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SUP__UN__eq,axiom,
% 119.16/119.19 ! [V_x_2,V_r_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__range__imageI,axiom,
% 119.16/119.19 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 119.16/119.19 ( 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)))))
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_nat__of,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_the__inv__f__f,axiom,
% 119.16/119.19 ! [V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INF__INT__eq,axiom,
% 119.16/119.19 ! [V_x_2,V_r_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__empty,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__constant,axiom,
% 119.16/119.19 ! [V_c_2,T_c,T_b,V_A_2] :
% 119.16/119.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__fun__UNIVD1,axiom,
% 119.16/119.19 ! [T_c,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__of__nat,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Nat_Osemiring__char__0(T_b)
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_atLeast__0,axiom,
% 119.16/119.19 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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_acc__subset,axiom,
% 119.16/119.19 ! [V_R2_2,V_R1_2,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__fun,axiom,
% 119.16/119.19 ! [T_d,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_compl__top__eq,axiom,
% 119.16/119.19 ! [T_a] :
% 119.16/119.19 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.19 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_compl__bot__eq,axiom,
% 119.16/119.19 ! [T_a] :
% 119.16/119.19 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.19 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_sup__compl__top,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_compl__sup__top,axiom,
% 119.16/119.19 ! [V_x,T_a] :
% 119.16/119.19 ( class_Lattices_Oboolean__algebra(T_a)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__image__mem__iff,axiom,
% 119.16/119.19 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_range__ex1__eq,axiom,
% 119.16/119.19 ! [V_b_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( 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)))))
% 119.16/119.19 <=> ? [B_x] :
% 119.16/119.19 ( V_b_2 = hAPP(V_f_2,B_x)
% 119.16/119.19 & ! [B_y] :
% 119.16/119.19 ( V_b_2 = hAPP(V_f_2,B_y)
% 119.16/119.19 => B_y = B_x ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__UNIV__surj__inj,axiom,
% 119.16/119.19 ! [V_f_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__UNIV__inj__surj,axiom,
% 119.16/119.19 ! [V_f_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.19 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__image__subset__iff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__Int,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__set__diff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_surj__Compl__image__subset,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => 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)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__greaterThan__UNIV,axiom,
% 119.16/119.19 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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__simps_I1_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__simps_I2_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__extend__simps_I3_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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) )
% 119.16/119.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__simps_I3_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_of__nat__inverse,axiom,
% 119.16/119.19 ! [V_y_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 119.16/119.19 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1Set__sing,axiom,
% 119.16/119.19 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> V_a_2 = V_b_2 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_acc__downward,axiom,
% 119.16/119.19 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_acc_Osimps,axiom,
% 119.16/119.19 ! [V_r_2,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__UN__finite__eq,axiom,
% 119.16/119.19 ! [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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__singleton,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INF__INT__eq2,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__UNIV__card__ge__0,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__UNIV__bool,axiom,
% 119.16/119.19 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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__image__Compl__subset,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INT__simps_I4_J,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 119.16/119.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_greaterThan__0,axiom,
% 119.16/119.19 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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SUP__UN__eq2,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__finite2__subset,axiom,
% 119.16/119.19 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 119.16/119.19 ( ! [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)))
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__finite2__eq,axiom,
% 119.16/119.19 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 119.16/119.19 ( ! [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)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__finite__subset,axiom,
% 119.16/119.19 ! [V_C_2,V_A_2,T_b] :
% 119.16/119.19 ( ! [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))
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_top1I,axiom,
% 119.16/119.19 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Integ__def,axiom,
% 119.16/119.19 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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_iso__tuple__UNIV__I,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equivp__equiv,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 119.16/119.19 <=> 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_identity__equivp,axiom,
% 119.16/119.19 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equivp__def,axiom,
% 119.16/119.19 ! [V_R_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.16/119.19 <=> ! [B_x,B_y] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 119.16/119.19 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equivp__reflp,axiom,
% 119.16/119.19 ! [V_x_2,V_R_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.16/119.19 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equivp__symp,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equivp__transp,axiom,
% 119.16/119.19 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Rep__Integ,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition__Integ,axiom,
% 119.16/119.19 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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__vimage__singleton,axiom,
% 119.16/119.19 ! [V_a_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition__code__numeral,axiom,
% 119.16/119.19 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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimageI,axiom,
% 119.16/119.19 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 119.16/119.19 ( hAPP(V_f_2,V_a_2) = V_b_2
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__code,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 119.16/119.19 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__Compl,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__ident,axiom,
% 119.16/119.19 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__mono,axiom,
% 119.16/119.19 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimageI2,axiom,
% 119.16/119.19 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimageD,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__eq,axiom,
% 119.16/119.19 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 119.16/119.19 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__Un,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__empty,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__Int,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__Diff,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__INT,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__UN,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__UNIV,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__vimage__subset,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_surj__image__vimage__eq,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_b,T_c] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__singleton__eq,axiom,
% 119.16/119.19 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 119.16/119.19 ( 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))))))
% 119.16/119.19 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__insert,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__vimageD,axiom,
% 119.16/119.19 ! [V_F_2,V_h_2,T_c,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__subsetD,axiom,
% 119.16/119.19 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__vimage__eq,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__vimageI,axiom,
% 119.16/119.19 ! [V_h_2,T_c,V_F_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.16/119.19 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__vimage__image__eq,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__const,axiom,
% 119.16/119.19 ! [T_c,V_A_2,V_c_2,T_b] :
% 119.16/119.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__eq__UN,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__subsetI,axiom,
% 119.16/119.19 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__if,axiom,
% 119.16/119.19 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 119.16/119.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 119.16/119.19 => 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 ) ) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 119.16/119.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 119.16/119.19 => 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) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_ORep__range,axiom,
% 119.16/119.19 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_OAbs__image,axiom,
% 119.16/119.19 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_ORep,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_ORep__inject,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 119.16/119.19 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_ORep__inverse,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_OAbs__inject,axiom,
% 119.16/119.19 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 119.16/119.19 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 119.16/119.19 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_type__definition_OAbs__inverse,axiom,
% 119.16/119.19 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 119.16/119.19 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 119.16/119.19 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_max__extp_Oequations,axiom,
% 119.16/119.19 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 119.16/119.19 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 119.16/119.19 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 119.16/119.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 119.16/119.19 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 & ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 119.16/119.19 => ? [B_xa] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 119.16/119.19 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_max__ext_Ointros,axiom,
% 119.16/119.19 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 119.16/119.19 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 119.16/119.19 => ? [B_xa] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 119.16/119.19 & 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)) ) )
% 119.16/119.19 => 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))) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1Set_Oequations,axiom,
% 119.16/119.19 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> ? [B_a,B_A] :
% 119.16/119.19 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 119.16/119.19 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 119.16/119.19 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_insert__fold1SetE,axiom,
% 119.16/119.19 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ~ ! [B_a,B_A] :
% 119.16/119.19 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_image__split__eq__Sigma,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__Un,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SigmaI,axiom,
% 119.16/119.19 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Times__eq__cancel2,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 119.16/119.19 => ( 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))
% 119.16/119.19 <=> V_A_2 = V_B_2 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__empty1,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__Diff__distrib1,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Times__Diff__distrib1,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__Diff__distrib2,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__cartesian__product,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__cartesian__product,axiom,
% 119.16/119.19 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Times__empty,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__empty2,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__Times__UNIV1,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__Times__UNIV2,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod__cartesian__product,axiom,
% 119.16/119.19 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_b)
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__Un__distrib1,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Times__Un__distrib1,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__Un__distrib2,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_swap__product,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__cartesian__product,axiom,
% 119.16/119.19 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.19 => 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)))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__singleton__def,axiom,
% 119.16/119.19 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 119.16/119.19 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 119.16/119.19 => 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 ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__singleton,axiom,
% 119.16/119.19 ! [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 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_equiv__type,axiom,
% 119.16/119.19 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.19 => 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)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__Int__distrib2,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Times__Int__distrib1,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__Int__distrib1,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Id__on__subset__Times,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UNIV__Times__UNIV,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SigmaE2,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SigmaD2,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SigmaD1,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_mem__Sigma__iff,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__one_Oeq__fold,axiom,
% 119.16/119.19 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__cartesian__product__singleton,axiom,
% 119.16/119.19 ! [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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Times__subset__cancel2,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 119.16/119.19 => ( 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))))
% 119.16/119.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Image__subset,axiom,
% 119.16/119.19 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__cartesian__productD1,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__cartesian__productD2,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_c,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fst__image__times,axiom,
% 119.16/119.19 ! [V_A_2,T_c,T_b,V_B_2] :
% 119.16/119.19 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_snd__image__times,axiom,
% 119.16/119.19 ! [V_B_2,T_c,T_b,V_A_2] :
% 119.16/119.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) )
% 119.16/119.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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 ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__def,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sup__fin_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Inf__fin_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Olattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Min_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Max_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__on__def,axiom,
% 119.16/119.19 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.19 <=> ( 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))))
% 119.16/119.19 & ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_insert__times__insert,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__equiv__class,axiom,
% 119.16/119.19 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( 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))))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UN__Times__distrib,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Sigma__def,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__belowI,axiom,
% 119.16/119.19 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__quotient,axiom,
% 119.16/119.19 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( 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))))
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_below__fold1__iff,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Ofold1__belowI,axiom,
% 119.16/119.19 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__insert__idem,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__below__iff,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 <=> ? [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__Un2,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_strict__below__fold1__iff,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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)))
% 119.16/119.19 <=> ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__strict__below__iff,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( 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))
% 119.16/119.19 <=> ? [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__insert,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__antimono,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => 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))) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_semilattice__big_OF__eq,axiom,
% 119.16/119.19 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.19 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 119.16/119.19 ! [V_A_2,V_I_2,T_c,T_b] :
% 119.16/119.19 ? [B_f] :
% 119.16/119.19 ( 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))
% 119.16/119.19 & 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_refl__onI,axiom,
% 119.16/119.19 ! [V_A_2,V_r_2,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => 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)) )
% 119.16/119.19 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod__Sigma,axiom,
% 119.16/119.19 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_d)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__Sigma,axiom,
% 119.16/119.19 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_d)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold__image__Sigma,axiom,
% 119.16/119.19 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__mult(T_d)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__SigmaI,axiom,
% 119.16/119.19 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fold1__in,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( ! [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))))))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__SigmaI,axiom,
% 119.16/119.19 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( ! [B_a] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_hom__fold1__commute,axiom,
% 119.16/119.19 ! [V_N_2,V_h_2,T_b] :
% 119.16/119.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 119.16/119.19 => ( ! [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))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.19 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SigmaE,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => ~ ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.19 => ! [B_y] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 119.16/119.19 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__surj,axiom,
% 119.16/119.19 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ( 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))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__imageI,axiom,
% 119.16/119.19 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => 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))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fst__map__pair,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__ident,axiom,
% 119.16/119.19 ! [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 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_snd__prod__fun,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__simp,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__def,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__surj__on,axiom,
% 119.16/119.19 ! [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] :
% 119.16/119.19 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 119.16/119.19 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_map__pair__inj__on,axiom,
% 119.16/119.19 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.19 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_prod__fun__imageE,axiom,
% 119.16/119.19 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => ~ ! [B_x,B_y] :
% 119.16/119.19 ( 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))
% 119.16/119.19 => ~ 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 119.16/119.19 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.19 => ( ! [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))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.19 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setprod__pos__nat,axiom,
% 119.16/119.19 ! [V_f_2,V_S_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.16/119.19 => 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))) )
% 119.16/119.19 => 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))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Rep__Integ__cases,axiom,
% 119.16/119.19 ! [V_y_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 119.16/119.19 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Rep__Integ__induct,axiom,
% 119.16/119.19 ! [V_P_2,V_y_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 119.16/119.19 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 119.16/119.19 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem__remove,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem__sup,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Lattices_Osemilattice__sup(T_b)
% 119.16/119.19 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem__inf,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.19 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 119.16/119.19 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 119.16/119.19 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 119.16/119.19 => 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)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 119.16/119.19 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_fun__left__comm__idem__insert,axiom,
% 119.16/119.19 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 119.16/119.19 ! [T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__on__INTER,axiom,
% 119.16/119.19 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 119.16/119.19 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( ! [B_i] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 119.16/119.19 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.19 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hAPP(V_g_2,B_x) = V_z_2 )
% 119.16/119.19 => 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)) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__less__Suc,axiom,
% 119.16/119.19 ! [V_i_2,V_M_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_CollectI,axiom,
% 119.16/119.19 ! [T_b,V_a_2,V_P_2] :
% 119.16/119.19 ( hBOOL(hAPP(V_P_2,V_a_2))
% 119.16/119.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__conjI,axiom,
% 119.16/119.19 ! [V_Q_2,V_P_2,T_b] :
% 119.16/119.19 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 119.16/119.19 => 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)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__less__nat,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__le__nat,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__def,axiom,
% 119.16/119.19 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__disj__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_empty__Collect__eq,axiom,
% 119.16/119.19 ! [V_P_2,T_b] :
% 119.16/119.19 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 119.16/119.19 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__empty__eq,axiom,
% 119.16/119.19 ! [V_P_2,T_b] :
% 119.16/119.19 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_empty__def,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_insert__Collect,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__conj__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__disjI,axiom,
% 119.16/119.19 ! [V_Q_2,V_P_2,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_UNIV__def,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__mem__eq,axiom,
% 119.16/119.19 ! [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 ).
% 119.16/119.19
% 119.16/119.19 fof(fact_mem__Collect__eq,axiom,
% 119.16/119.19 ! [V_P_2,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_CollectD,axiom,
% 119.16/119.19 ! [V_P_2,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_CollectE,axiom,
% 119.16/119.19 ! [V_P_2,V_a_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__Collect__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__neg__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_SetCompr__Sigma__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__split,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_insert__compr,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_insert__compr__raw,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Un__def,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Int__Collect,axiom,
% 119.16/119.19 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 119.16/119.19 ( 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))))
% 119.16/119.19 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.19 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Int__def,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__conv__if,axiom,
% 119.16/119.19 ! [T_b,V_a_2,V_P_2] :
% 119.16/119.19 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 119.16/119.19 => 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))) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__conv__if2,axiom,
% 119.16/119.19 ! [T_b,V_a_2,V_P_2] :
% 119.16/119.19 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 119.16/119.19 => 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))) )
% 119.16/119.19 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_singleton__conv,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_singleton__conv2,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_set__diff__eq,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__not,axiom,
% 119.16/119.19 ! [V_P_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 => ( 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))))
% 119.16/119.19 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_insert__def,axiom,
% 119.16/119.19 ! [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) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Compl__eq,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_vimage__def,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__ball__eq,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Collect__imp__eq,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__M__bounded__by__nat,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__setsum__restrict,axiom,
% 119.16/119.19 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_d)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 119.16/119.19 => 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) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_INTER__def,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_if__image__distrib,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_nat__seg__image__imp__finite,axiom,
% 119.16/119.19 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 119.16/119.19 ( 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)))
% 119.16/119.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__restrict__set_H,axiom,
% 119.16/119.19 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__image__gen,axiom,
% 119.16/119.19 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => 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)) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Image__singleton,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__cases,axiom,
% 119.16/119.19 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 119.16/119.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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))))) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__less__Suc2,axiom,
% 119.16/119.19 ! [V_i_2,V_M_2] :
% 119.16/119.19 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_card__less,axiom,
% 119.16/119.19 ! [V_i_2,V_M_2] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 119.16/119.19 => 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) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_setsum__multicount,axiom,
% 119.16/119.19 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 119.16/119.19 => ( ! [B_x] :
% 119.16/119.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 119.16/119.19 => 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 )
% 119.16/119.19 => 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)) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))))) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__subsets,axiom,
% 119.16/119.19 ! [V_A_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => 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)))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Pow__Compl,axiom,
% 119.16/119.19 ! [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))))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Pow__def,axiom,
% 119.16/119.19 ! [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)) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__image__set,axiom,
% 119.16/119.19 ! [V_f_2,T_c,V_P_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 => 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))))) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__Collect__bounded__ex,axiom,
% 119.16/119.19 ! [V_Q_2,T_c,V_P_2,T_b] :
% 119.16/119.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 119.16/119.19 => ( 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)))))
% 119.16/119.19 <=> ! [B_y] :
% 119.16/119.19 ( hBOOL(hAPP(V_P_2,B_y))
% 119.16/119.19 => 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)))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inj__graph,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_finite__psubset__def,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inv__image__def,axiom,
% 119.16/119.19 ! [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))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 119.16/119.19 ! [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)))) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_add__Max__commute,axiom,
% 119.16/119.19 ! [V_k_2,V_N_2,T_b] :
% 119.16/119.19 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.19 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_add__Min__commute,axiom,
% 119.16/119.19 ! [V_k_2,V_N_2,T_b] :
% 119.16/119.19 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 119.16/119.19 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_sup__Inf2__distrib,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Odistrib__lattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))))) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_sup__Inf1__distrib,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Odistrib__lattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__Sup1__distrib,axiom,
% 119.16/119.19 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Odistrib__lattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_inf__Sup2__distrib,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Lattices_Odistrib__lattice(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))))) ) ) ) ) ) ).
% 119.16/119.19
% 119.16/119.19 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 119.16/119.19 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.19 ( class_Orderings_Olinorder(T_b)
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.19 => 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))))))) ) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.20 => 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))))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Nitpick_Oprod__def,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_int__ge__less__than__def,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_int__ge__less__than2__def,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reflp__def,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Predicate_Oreflp(T_b,V_r_2)
% 119.16/119.20 <=> 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.20 ( class_Rings_Osemiring__0(T_d)
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))))))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_def__lfp__induct__set,axiom,
% 119.16/119.20 ! [V_P_2,V_a_2,V_f_2,T_b,V_A_2] :
% 119.16/119.20 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.20 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(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)))))
% 119.16/119.20 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.20 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_inj__on__id,axiom,
% 119.16/119.20 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_of__int__eq__id,axiom,
% 119.16/119.20 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_vimage__id,axiom,
% 119.16/119.20 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_id__def,axiom,
% 119.16/119.20 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_id__apply,axiom,
% 119.16/119.20 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 119.16/119.20
% 119.16/119.20 fof(fact_apfst__id,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_apsnd__id,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reflpE,axiom,
% 119.16/119.20 ! [V_x_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Predicate_Oreflp(T_b,V_r_2)
% 119.16/119.20 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_map__pair_Oidentity,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_map__pair_Oid,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_image__id,axiom,
% 119.16/119.20 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_surj__id,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_apfst__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_apsnd__def,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_split__Pair,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum__reindex__id,axiom,
% 119.16/119.20 ! [V_B_2,V_f_2,T_b,T_c] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setprod__reindex__id,axiom,
% 119.16/119.20 ! [V_B_2,V_f_2,T_b,T_c] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_lfp__induct__set,axiom,
% 119.16/119.20 ! [V_P_2,V_f_2,V_a_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))
% 119.16/119.20 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_P_2)))))
% 119.16/119.20 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.16/119.20 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_def__Collect__coinduct,axiom,
% 119.16/119.20 ! [V_X_2,V_a_2,V_P_2,T_b,V_A_2] :
% 119.16/119.20 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(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),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2))
% 119.16/119.20 => ( c_Orderings_Oorder__class_Omono(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(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 119.16/119.20 => ( ! [B_z] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) )
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_lfp__induct2,axiom,
% 119.16/119.20 ! [V_P_2,V_f_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)))
% 119.16/119.20 => ( c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)
% 119.16/119.20 => ( ! [B_a,B_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_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),V_P_2))))))
% 119.16/119.20 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) )
% 119.16/119.20 => hBOOL(hAPP(hAPP(V_P_2,V_a_2),V_b_2)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum__multicount__gen,axiom,
% 119.16/119.20 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 119.16/119.20 => 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) )
% 119.16/119.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__conv__nat__seg__image,axiom,
% 119.16/119.20 ! [V_A_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 <=> ? [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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__def,axiom,
% 119.16/119.20 ! [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))))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__compI,axiom,
% 119.16/119.20 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__UNION__distrib,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__UNION__distrib2,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__distrib,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__distrib2,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__empty2,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__empty1,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_O__assoc,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__mono,axiom,
% 119.16/119.20 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_union__comp__emptyR,axiom,
% 119.16/119.20 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_union__comp__emptyL,axiom,
% 119.16/119.20 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__comp__subset__Sigma,axiom,
% 119.16/119.20 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( 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))))
% 119.16/119.20 => ( 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))))
% 119.16/119.20 => 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)))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_max__ext__compat,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__ext__compat,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pred__comp__rel__comp__eq,axiom,
% 119.16/119.20 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reduction__pairI,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_R_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__Collect__split,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__less__than,axiom,
% 119.16/119.20 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pred__comp_Ointros,axiom,
% 119.16/119.20 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__empty,axiom,
% 119.16/119.20 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__inv__image,axiom,
% 119.16/119.20 ! [V_f_2,T_c,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__lex__prod,axiom,
% 119.16/119.20 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 119.16/119.20 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 119.16/119.20 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__measure,axiom,
% 119.16/119.20 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_RangeI,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__comp__self,axiom,
% 119.16/119.20 ! [V_R_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_R_2)
% 119.16/119.20 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__Id__on,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__finite__psubset,axiom,
% 119.16/119.20 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__mlex,axiom,
% 119.16/119.20 ! [V_f_2,V_R_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_R_2)
% 119.16/119.20 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__ext__wf,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pred__comp_Oequations,axiom,
% 119.16/119.20 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> ? [B_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 119.16/119.20 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__subset,axiom,
% 119.16/119.20 ! [V_p_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__pair__less,axiom,
% 119.16/119.20 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_max__ext__wf,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__Int1,axiom,
% 119.16/119.20 ! [V_r_H_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__Int2,axiom,
% 119.16/119.20 ! [V_r_H_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__not__refl,axiom,
% 119.16/119.20 ! [V_a_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ~ 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__not__sym,axiom,
% 119.16/119.20 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => ~ hBOOL(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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__asym,axiom,
% 119.16/119.20 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => ~ hBOOL(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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__irrefl,axiom,
% 119.16/119.20 ! [V_a_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ~ 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__less,axiom,
% 119.16/119.20 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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__int__ge__less__than2,axiom,
% 119.16/119.20 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__int__ge__less__than,axiom,
% 119.16/119.20 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acc__wfD,axiom,
% 119.16/119.20 ! [V_x_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__acc__iff,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__no__loop,axiom,
% 119.16/119.20 ! [V_R_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__union__merge,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__empty,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__empty__iff,axiom,
% 119.16/119.20 ! [V_r_2,T_b,T_c] :
% 119.16/119.20 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.20 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__Un__eq,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__Range,axiom,
% 119.16/119.20 ! [V_r_2,T_c,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 119.16/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_snd__eq__Range,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 <=> ~ ? [B_f] :
% 119.16/119.20 ! [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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfE__pf,axiom,
% 119.16/119.20 ! [V_A_2,V_R_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_R_2)
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__union__compatible,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_R_2)
% 119.16/119.20 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__iff,axiom,
% 119.16/119.20 ! [V_r_2,T_c,V_a_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 119.16/119.20 <=> ? [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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf,axiom,
% 119.16/119.20 ! [T_b] :
% 119.16/119.20 ( class_Orderings_Owellorder(T_b)
% 119.16/119.20 => 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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reduction__pair__def,axiom,
% 119.16/119.20 ! [V_P_2,T_b] :
% 119.16/119.20 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 119.16/119.20 <=> ( 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))
% 119.16/119.20 & 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reduction__pair__lemma,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 119.16/119.20 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 119.16/119.20 => 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)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__insert,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__Int__subset,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__Diff__subset,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__map__pair__image,axiom,
% 119.16/119.20 ! [V_f_2,T_c,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_RangeP__Range__eq,axiom,
% 119.16/119.20 ! [V_x_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__lenlex,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_RangeE,axiom,
% 119.16/119.20 ! [V_r_2,T_c,V_b_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 119.16/119.20 => ~ ! [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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_RangeP_Ointros,axiom,
% 119.16/119.20 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 119.16/119.20 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_RangeP_Oequations,axiom,
% 119.16/119.20 ! [V_a2_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 119.16/119.20 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pred__nat__def,axiom,
% 119.16/119.20 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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__lex,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__lexn,axiom,
% 119.16/119.20 ! [V_na_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_lex__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_lexn_Osimps_I1_J,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__pred__nat,axiom,
% 119.16/119.20 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__Un,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__same__fst,axiom,
% 119.16/119.20 ! [T_b,V_R_2,T_c,V_P_2] :
% 119.16/119.20 ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.20 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 119.16/119.20 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__if__measure,axiom,
% 119.16/119.20 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 119.16/119.20 ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(V_P_2,B_x))
% 119.16/119.20 => 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))) )
% 119.16/119.20 => 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))))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_DomainI,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__Id__on,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__empty__iff,axiom,
% 119.16/119.20 ! [V_r_2,T_c,T_b] :
% 119.16/119.20 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.20 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__empty,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__mono,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__Un__eq,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__Domain,axiom,
% 119.16/119.20 ! [V_r_2,T_c,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 119.16/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fst__eq__Domain,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__iff,axiom,
% 119.16/119.20 ! [V_r_2,T_c,V_a_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 119.16/119.20 <=> ? [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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__insert,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__Int__subset,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__Diff__subset,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Field__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__Collect__split,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_DomainP__Domain__eq,axiom,
% 119.16/119.20 ! [V_x_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_DomainE,axiom,
% 119.16/119.20 ! [V_r_2,T_c,V_a_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 119.16/119.20 => ~ ! [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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__def,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 119.16/119.20 <=> 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_DomainP_Ointros,axiom,
% 119.16/119.20 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 119.16/119.20 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__empty,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__accp__iff,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 119.16/119.20 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_accp__wfPD,axiom,
% 119.16/119.20 ! [V_x_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 119.16/119.20 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__subset,axiom,
% 119.16/119.20 ! [V_p_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_DomainP_Oequations,axiom,
% 119.16/119.20 ! [V_a1_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 119.16/119.20 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__in__rel,axiom,
% 119.16/119.20 ! [V_R_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_R_2)
% 119.16/119.20 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__wf__eq,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__acyclicP,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pigeonhole__infinite,axiom,
% 119.16/119.20 ! [V_f_2,T_c,V_A_2,T_b] :
% 119.16/119.20 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 119.16/119.20 => ? [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 & ~ 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)))))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Abs__Integ__cases,axiom,
% 119.16/119.20 ! [V_x_2] :
% 119.16/119.20 ~ ! [B_y] :
% 119.16/119.20 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 119.16/119.20 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acyclic__subset,axiom,
% 119.16/119.20 ! [V_r_2,V_s_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__acyclic,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__acyclic__wf,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 119.16/119.20 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 119.16/119.20 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Nitpick_Owf_H__def,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 119.16/119.20 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 119.16/119.20 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 119.16/119.20 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Abs__Integ__induct,axiom,
% 119.16/119.20 ! [V_x_2,V_P_2] :
% 119.16/119.20 ( ! [B_y] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 119.16/119.20 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 119.16/119.20 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__UN__I,axiom,
% 119.16/119.20 ! [V_B_2,T_c,V_A_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ! [B_a] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 119.16/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_inj__on__diff__nat,axiom,
% 119.16/119.20 ! [V_k_2,V_N_2] :
% 119.16/119.20 ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfP__SUP,axiom,
% 119.16/119.20 ! [T_b,V_r_2,T_c] :
% 119.16/119.20 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 119.16/119.20 => ( ! [B_i,B_j] :
% 119.16/119.20 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 119.16/119.20 => 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)) )
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_mem__splitI2,axiom,
% 119.16/119.20 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 119.16/119.20 ( ! [B_a,B_b] :
% 119.16/119.20 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_mem__splitE,axiom,
% 119.16/119.20 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ~ ! [B_x,B_y] :
% 119.16/119.20 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 119.16/119.20 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_vimage__Times,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_id__o,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__id,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__eq__id__dest,axiom,
% 119.16/119.20 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 119.16/119.20 ( 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)
% 119.16/119.20 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 119.16/119.20 ! [V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_vimage__compose,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__assoc,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__apply,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__eq__dest,axiom,
% 119.16/119.20 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 119.16/119.20 ( 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)
% 119.16/119.20 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__eq__elim,axiom,
% 119.16/119.20 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 119.16/119.20 ( 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)
% 119.16/119.20 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_apfst__compose,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_apsnd__compose,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_comp__cong,axiom,
% 119.16/119.20 ! [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] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__upd__comp,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_K__record__comp,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_o__eq__dest__lhs,axiom,
% 119.16/119.20 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 119.16/119.20 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 119.16/119.20 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_map__pair_Ocompositionality,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_map__pair__compose,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_map__pair_Ocomp,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_image__compose,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_comp__surj,axiom,
% 119.16/119.20 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_inj__on__imageI2,axiom,
% 119.16/119.20 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 119.16/119.20 ( 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)
% 119.16/119.20 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_inj__comp,axiom,
% 119.16/119.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.16/119.20 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_inj__on__imageI,axiom,
% 119.16/119.20 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 119.16/119.20 ( 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)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_comp__inj__on,axiom,
% 119.16/119.20 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_comp__inj__on__iff,axiom,
% 119.16/119.20 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 <=> 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum__reindex,axiom,
% 119.16/119.20 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__add(T_d)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setprod__reindex__cong,axiom,
% 119.16/119.20 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__mult(T_d)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.20 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 119.16/119.20 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 119.16/119.20 => 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) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setprod__reindex,axiom,
% 119.16/119.20 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__mult(T_d)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum_Oreindex,axiom,
% 119.16/119.20 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setprod_Oreindex,axiom,
% 119.16/119.20 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_the__inv__into__comp,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 119.16/119.20 => ( 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))))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__image__reindex,axiom,
% 119.16/119.20 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Oab__semigroup__mult(T_d)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Nitpick_Odenom__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Nitpick_Onum__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fst__comp__map__pair,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_snd__comp__map__pair,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_UN__o,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_split__comp,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_number__of__code__numeral__def,axiom,
% 119.16/119.20 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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_int__of__def,axiom,
% 119.16/119.20 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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Oremove,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__image_Oreindex,axiom,
% 119.16/119.20 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.20 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 119.16/119.20 ! [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] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__comp,axiom,
% 119.16/119.20 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__left__comp,axiom,
% 119.16/119.20 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__image_Odistrib,axiom,
% 119.16/119.20 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__comp_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 119.16/119.20 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 119.16/119.20 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Oempty,axiom,
% 119.16/119.20 ! [V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__image_Oeq__fold,axiom,
% 119.16/119.20 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Oinsert,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ounion__inter,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Oinsert__remove,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Ounion,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum__reindex__nonzero,axiom,
% 119.16/119.20 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__add(T_d)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.16/119.20 => ! [B_y] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 119.16/119.20 => ( B_x != B_y
% 119.16/119.20 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 119.16/119.20 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Random__Sequence_Omap__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__idem_Ounion__idem,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__idem_Oidem__comp,axiom,
% 119.16/119.20 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 119.16/119.20 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__idem_Oinsert__idem,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_strong__setprod__reindex__cong,axiom,
% 119.16/119.20 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__mult(T_d)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.20 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 => 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) )
% 119.16/119.20 => 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) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_neg__map__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_neg__single__def,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pos__map__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pos__single__def,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_New__DSequence_Opos__single__def,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Eps__split,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_exE__some,axiom,
% 119.16/119.20 ! [T_b,V_c_2,V_P_2] :
% 119.16/119.20 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.20 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 119.16/119.20 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_some__sym__eq__trivial,axiom,
% 119.16/119.20 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_some__eq__trivial,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_some__eq__ex,axiom,
% 119.16/119.20 ! [T_b,V_P_2] :
% 119.16/119.20 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 119.16/119.20 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_someI__ex,axiom,
% 119.16/119.20 ! [T_b,V_P_2] :
% 119.16/119.20 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.16/119.20 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_tfl__some,axiom,
% 119.16/119.20 ! [T_b,B_P] :
% 119.16/119.20 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 119.16/119.20 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_someI,axiom,
% 119.16/119.20 ! [T_b,V_x_2,V_P_2] :
% 119.16/119.20 ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.16/119.20 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_split__paired__Eps,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Eps__split__eq,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wfI__pf,axiom,
% 119.16/119.20 ! [V_R_2,T_b] :
% 119.16/119.20 ( ! [B_A] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 119.16/119.20 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Sigma__mono,axiom,
% 119.16/119.20 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 => 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))) )
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_not__acc__down,axiom,
% 119.16/119.20 ! [V_R_2,V_x_2,T_b] :
% 119.16/119.20 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 119.16/119.20 => ~ ! [B_z] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acc_OaccI,axiom,
% 119.16/119.20 ! [V_r_2,V_x_2,T_b] :
% 119.16/119.20 ( ! [B_y] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__image__1,axiom,
% 119.16/119.20 ! [V_f_2,V_S_2,T_b,T_c] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__mult(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.16/119.20 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_card_Oneutral,axiom,
% 119.16/119.20 ! [V_A_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.16/119.20 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_max__ext_Osimps,axiom,
% 119.16/119.20 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 119.16/119.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 119.16/119.20 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.16/119.20 & ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 119.16/119.20 => ? [B_xa] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 119.16/119.20 & 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)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__image__cong,axiom,
% 119.16/119.20 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Groups_Oab__semigroup__mult(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setprod__dvd__setprod__subset2,axiom,
% 119.16/119.20 ! [V_g_2,V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 119.16/119.20 ( class_Rings_Ocomm__semiring__1(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 119.16/119.20 => 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))) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Max__eqI,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ! [B_y] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Min__eqI,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ! [B_y] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__no__infinite__down__chainE,axiom,
% 119.16/119.20 ! [V_f_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => ~ ! [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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_setsum__reindex__cong,axiom,
% 119.16/119.20 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 119.16/119.20 ( class_Groups_Ocomm__monoid__add(T_d)
% 119.16/119.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 119.16/119.20 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 119.16/119.20 => ( ! [B_a] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 119.16/119.20 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 119.16/119.20 => 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) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_less__eq,axiom,
% 119.16/119.20 ! [V_na_2,V_m_2] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__trancl,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_less__than__def,axiom,
% 119.16/119.20 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acyclic__def,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 119.16/119.20 <=> ! [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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl_Or__into__trancl,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__subset__Field2,axiom,
% 119.16/119.20 ! [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))))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_r__into__trancl_H,axiom,
% 119.16/119.20 ! [V_r_2,V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__empty,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__domain,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__range,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__trancl,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 119.16/119.20 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_r__r__into__trancl,axiom,
% 119.16/119.20 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__into__trancl2,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__trans,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__mono,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__unfold,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__subset__Sigma,axiom,
% 119.16/119.20 ! [V_A_2,V_r_2,T_b] :
% 119.16/119.20 ( 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))))
% 119.16/119.20 => 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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__Int__subset,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__insert,axiom,
% 119.16/119.20 ! [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)))))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reflcl__set__eq,axiom,
% 119.16/119.20 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> hBOOL(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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_r__into__rtrancl,axiom,
% 119.16/119.20 ! [V_r_2,V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_IdI,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__into__rtrancl,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__trancl__absorb,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__rtrancl__absorb,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_reflcl__trancl,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__reflcl,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__unfold__left,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__unfold__right,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__Int__subset,axiom,
% 119.16/119.20 ! [V_r_2,V_s_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__unfold,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__idemp__self__comp,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_r__comp__rtrancl__eq,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Image__closed__trancl,axiom,
% 119.16/119.20 ! [V_X_2,V_r_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__mono,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__subset,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__subset__rtrancl,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__Un__subset,axiom,
% 119.16/119.20 ! [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)))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__reflcl,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__Un__rtrancl,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__reflcl__absorb,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__rtrancl,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_in__rtrancl__UnI,axiom,
% 119.16/119.20 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 119.16/119.20 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 119.16/119.20 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 119.16/119.20 => 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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__r__diff__Id,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__trans,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_refl__rtrancl,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__idemp,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__rtrancl,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__empty,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Image__Id,axiom,
% 119.16/119.20 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_R__O__Id,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Id__O__R,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pair__in__Id__conv,axiom,
% 119.16/119.20 ! [V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 <=> V_a_2 = V_b_2 ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__eq__or__trancl,axiom,
% 119.16/119.20 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 <=> ( V_x_2 = V_y_2
% 119.16/119.20 | ( V_x_2 != V_y_2
% 119.16/119.20 & hBOOL(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))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__into__trancl2,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtranclD,axiom,
% 119.16/119.20 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( V_a_2 = V_b_2
% 119.16/119.20 | ( V_a_2 != V_b_2
% 119.16/119.20 & 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))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__into__trancl1,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__rtrancl__trancl,axiom,
% 119.16/119.20 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__trancl__trancl,axiom,
% 119.16/119.20 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => hBOOL(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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__Id,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__Id,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_refl__Id,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pair__leq__def,axiom,
% 119.16/119.20 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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Not__Domain__rtrancl,axiom,
% 119.16/119.20 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 119.16/119.20 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 119.16/119.20 => ( hBOOL(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)))
% 119.16/119.20 <=> V_x_2 = V_y_2 ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acc__downwards,axiom,
% 119.16/119.20 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acc__downwards__aux,axiom,
% 119.16/119.20 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__insert,axiom,
% 119.16/119.20 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.16/119.20 & ~ hBOOL(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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acyclic__insert,axiom,
% 119.16/119.20 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 119.16/119.20 & ~ hBOOL(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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_refl__reflcl,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Id__def,axiom,
% 119.16/119.20 ! [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))))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_irrefl__diff__Id,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_pred__nat__trancl__eq__le,axiom,
% 119.16/119.20 ! [V_na_2,V_m_2] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__subset__Sigma__aux,axiom,
% 119.16/119.20 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ( 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))))
% 119.16/119.20 => ( V_a_2 = V_b_2
% 119.16/119.20 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_irrefl__tranclI,axiom,
% 119.16/119.20 ! [V_x_2,V_r_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ~ hBOOL(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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_sequence__trans,axiom,
% 119.16/119.20 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 119.16/119.20 ( ! [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)))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__converse,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__Id,axiom,
% 119.16/119.20 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__rel__comp,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__Un,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converseD,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converseI,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__iff,axiom,
% 119.16/119.20 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 <=> 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__INTER,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__converse,axiom,
% 119.16/119.20 ! [V_r_2,T_c,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 119.16/119.20 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_refl__on__converse,axiom,
% 119.16/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.20 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.16/119.20 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__Int,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__inv__image,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__converse,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Field__converse,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__Id__on,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__UNION,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acyclic__converse,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.16/119.20 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__converse,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__converse__trancl,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.16/119.20 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_equiv__comp__eq,axiom,
% 119.16/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.16/119.20 => 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 ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Domain__converse,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Range__converse,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__converseD,axiom,
% 119.16/119.20 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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))))
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__converseI,axiom,
% 119.16/119.20 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => hBOOL(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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__converseD,axiom,
% 119.16/119.20 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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))))
% 119.16/119.20 => hBOOL(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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__converseI,axiom,
% 119.16/119.20 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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))))
% 119.16/119.20 => hBOOL(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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Image__subset__eq,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 <=> 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))))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_refl__on__comp__subset,axiom,
% 119.16/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.20 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.16/119.20 => 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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_comp__equivI,axiom,
% 119.16/119.20 ! [V_A_2,V_r_2,T_b] :
% 119.16/119.20 ( 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
% 119.16/119.20 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 119.16/119.20 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__acyclic__wf__converse,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 119.16/119.20 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 119.16/119.20 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_converse__def,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Image__INT__eq,axiom,
% 119.16/119.20 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 119.16/119.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_total__on__diff__Id,axiom,
% 119.16/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__Id,axiom,
% 119.16/119.20 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__Id__on,axiom,
% 119.16/119.20 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__subset,axiom,
% 119.16/119.20 ! [V_s_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 119.16/119.20 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__rel__comp,axiom,
% 119.16/119.20 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 119.16/119.20 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_total__on__empty,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_total__on__converse,axiom,
% 119.16/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.20 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.16/119.20 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valuedD,axiom,
% 119.16/119.20 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => V_y_2 = V_z_2 ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__def,axiom,
% 119.16/119.20 ! [V_r_2,T_c,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 119.16/119.20 <=> ! [B_x,B_y] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ! [B_z] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => B_y = B_z ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_total__on__def,axiom,
% 119.16/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.16/119.20 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 119.16/119.20 <=> ! [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.16/119.20 => ! [B_xa] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 119.16/119.20 => ( B_x != B_xa
% 119.16/119.20 => ( 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))
% 119.16/119.20 | 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)) ) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__confluent,axiom,
% 119.16/119.20 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 119.16/119.20 => ( hBOOL(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)))
% 119.16/119.20 => ( hBOOL(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)))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 | 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))) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Image__Int__eq,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 119.16/119.20 ! [V_R_2,V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 119.16/119.20 => 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)))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_acyclicI,axiom,
% 119.16/119.20 ! [V_r_2,T_b] :
% 119.16/119.20 ( ! [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)))
% 119.16/119.20 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_single__valued__rel__pow,axiom,
% 119.16/119.20 ! [V_na_2,V_R_2,T_b] :
% 119.16/119.20 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_funpow__mult,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_funpow__swap1,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_wf__exp,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,T_b] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_comp__funpow,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__1,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__commute,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__power,axiom,
% 119.16/119.20 ! [V_R_2,V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 119.16/119.20 <=> ? [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))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__imp__rtrancl,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_relpow_Osimps_I2_J,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__add,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_relpow_Osimps_I1_J,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__0__E,axiom,
% 119.16/119.20 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => V_x_2 = V_y_2 ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__0__I,axiom,
% 119.16/119.20 ! [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))) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__Suc__I,axiom,
% 119.16/119.20 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ( 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))
% 119.16/119.20 => hBOOL(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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__Suc__I2,axiom,
% 119.16/119.20 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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))
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => hBOOL(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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_funpow_Osimps_I2_J,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_funpow__add,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_funpow_Osimps_I1_J,axiom,
% 119.16/119.20 ! [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) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_trancl__power,axiom,
% 119.16/119.20 ! [V_R_2,V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 119.16/119.20 <=> ? [B_n] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 119.16/119.20 & 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_funpow__code__def,axiom,
% 119.16/119.20 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__E,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.20 => V_x_2 != V_z_2 )
% 119.16/119.20 => ~ ! [B_y,B_m] :
% 119.16/119.20 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 119.16/119.20 => ( 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)))
% 119.16/119.20 => ~ 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)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__E2,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.16/119.20 => V_x_2 != V_z_2 )
% 119.16/119.20 => ~ ! [B_y,B_m] :
% 119.16/119.20 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 119.16/119.20 => ( 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))
% 119.16/119.20 => ~ 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))) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__Un__separatorE,axiom,
% 119.16/119.20 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ! [B_y] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => B_x = B_y ) )
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 119.16/119.20 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 119.16/119.20 ( 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))))
% 119.16/119.20 => ( ! [B_x] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ! [B_y] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => B_y = B_x ) )
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__Suc__E,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ~ ! [B_y] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 => ~ 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__Suc__D2,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ? [B_y] :
% 119.16/119.20 ( 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))
% 119.16/119.20 & 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_rel__pow__Suc__E2,axiom,
% 119.16/119.20 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ~ ! [B_y] :
% 119.16/119.20 ( 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))
% 119.16/119.20 => ~ 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_tranclD,axiom,
% 119.16/119.20 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ? [B_z] :
% 119.16/119.20 ( 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))
% 119.16/119.20 & 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_tranclD2,axiom,
% 119.16/119.20 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 119.16/119.20 ( hBOOL(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)))
% 119.16/119.20 => ? [B_z] :
% 119.16/119.20 ( 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)))
% 119.16/119.20 & 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_IdE,axiom,
% 119.16/119.20 ! [V_p_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 119.16/119.20 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__image__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__empty,axiom,
% 119.16/119.20 ! [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 ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding_Oeq__fold,axiom,
% 119.16/119.20 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__def,axiom,
% 119.16/119.20 ! [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)) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_union__fold__insert,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__sup__insert,axiom,
% 119.16/119.20 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Osemilattice__sup(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__inf__insert,axiom,
% 119.16/119.20 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_Ofold__inf__insert,axiom,
% 119.16/119.20 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_Ofold__sup__insert,axiom,
% 119.16/119.20 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 119.16/119.20 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 119.16/119.20 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_sup__SUPR__fold__sup,axiom,
% 119.16/119.20 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_inf__INFI__fold__inf,axiom,
% 119.16/119.20 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_sup__le__fold__sup,axiom,
% 119.16/119.20 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Osemilattice__sup(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => 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))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold__inf__le__inf,axiom,
% 119.16/119.20 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Osemilattice__inf(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => 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))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 119.16/119.20 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => 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))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 119.16/119.20 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => 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))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold1__eq__fold__idem,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Olattice(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Olattice(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_minus__fold__remove,axiom,
% 119.16/119.20 ! [V_B_2,V_A_2,T_b] :
% 119.16/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_folding__one_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_SUPR__fold__sup,axiom,
% 119.16/119.20 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_INFI__fold__inf,axiom,
% 119.16/119.20 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.16/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fold1__eq__fold,axiom,
% 119.16/119.20 ! [V_a_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Olattice(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Lattices_Olattice(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Min_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Max_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 119.16/119.20 ! [V_x_2,V_A_2,T_b] :
% 119.16/119.20 ( class_Orderings_Olinorder(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 119.16/119.20 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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)))))) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 119.16/119.20 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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)))))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 119.16/119.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 119.16/119.20 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 119.16/119.20 => V_y_2 = V_x_2 ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm,axiom,
% 119.16/119.20 ! [T_b] :
% 119.16/119.20 ( class_Groups_Oab__semigroup__mult(T_b)
% 119.16/119.20 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 119.16/119.20 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 119.16/119.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => 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)) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 119.16/119.20 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 119.16/119.20 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 119.16/119.20 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 119.16/119.20 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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))) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 119.16/119.20 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 119.16/119.20 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.16/119.20 => 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)) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 119.16/119.20 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 119.16/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 119.16/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 119.16/119.20 => ? [B_y_H] :
% 119.16/119.20 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 119.16/119.20 & 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)) ) ) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_Inf__fold__inf,axiom,
% 119.16/119.20 ! [V_A_2,T_b] :
% 119.16/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.16/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.16/119.20 => 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) ) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_finite__Inter,axiom,
% 119.16/119.20 ! [V_M_2,T_b] :
% 119.16/119.20 ( ? [B_x] :
% 119.16/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 119.16/119.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 119.16/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 119.16/119.20
% 119.16/119.20 fof(fact_InterD,axiom,
% 119.16/119.20 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 119.16/119.20 ( 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)))
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_InterE,axiom,
% 119.46/119.20 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__lower,axiom,
% 119.46/119.20 ! [V_A_2,V_B_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.46/119.20 => 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)) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_le__Inf__iff,axiom,
% 119.46/119.20 ! [V_A_2,V_b_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( 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)))
% 119.46/119.20 <=> ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__less__iff,axiom,
% 119.46/119.20 ! [V_a_2,V_S_2,T_b] :
% 119.46/119.20 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 & class_Orderings_Olinorder(T_b) )
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 119.46/119.20 <=> ? [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.46/119.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Un__Inter,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__anti__mono,axiom,
% 119.46/119.20 ! [V_A_2,V_B_2,T_b] :
% 119.46/119.20 ( 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))
% 119.46/119.20 => 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))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__empty,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__eq,axiom,
% 119.46/119.20 ! [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)))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__insert,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__UNIV,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__lower,axiom,
% 119.46/119.20 ! [V_A_2,V_x_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.46/119.20 => 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__Un__distrib,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__singleton,axiom,
% 119.46/119.20 ! [V_a_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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 ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__empty,axiom,
% 119.46/119.20 ! [T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__UNIV,axiom,
% 119.46/119.20 ! [T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__insert,axiom,
% 119.46/119.20 ! [V_A_2,V_a_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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)) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_INTER__eq__Inter__image,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__image__eq,axiom,
% 119.46/119.20 ! [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) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Int__eq__Inter,axiom,
% 119.46/119.20 ! [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))))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Int__Inter__image,axiom,
% 119.46/119.20 ! [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))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__Un__subset,axiom,
% 119.46/119.20 ! [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)))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__binary,axiom,
% 119.46/119.20 ! [V_b_2,V_a_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_inf__Inf__fold__inf,axiom,
% 119.46/119.20 ! [V_B_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => 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) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__fin__Inf,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.46/119.20 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inf__Sup,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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))))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__Inf,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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)))))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_UnionI,axiom,
% 119.46/119.20 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 119.46/119.20 => 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))) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__def,axiom,
% 119.46/119.20 ! [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))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_image__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Domain__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_UN__simps_I8_J,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_UN__extend__simps_I8_J,axiom,
% 119.46/119.20 ! [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) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Int__Union2,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Int__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sigma__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Range__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_vimage__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__empty,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__mono,axiom,
% 119.46/119.20 ! [V_B_2,V_A_2,T_b] :
% 119.46/119.20 ( 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))
% 119.46/119.20 => 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))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__disjoint,axiom,
% 119.46/119.20 ! [V_A_2,V_C_2,T_b] :
% 119.46/119.20 ( 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))
% 119.46/119.20 <=> ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 119.46/119.20 => 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Field__Union,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__Pow__eq,axiom,
% 119.46/119.20 ! [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 ).
% 119.46/119.20
% 119.46/119.20 fof(fact_less__Sup__iff,axiom,
% 119.46/119.20 ! [V_S_2,V_a_2,T_b] :
% 119.46/119.20 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 & class_Orderings_Olinorder(T_b) )
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 119.46/119.20 <=> ? [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.46/119.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_INT__extend__simps_I8_J,axiom,
% 119.46/119.20 ! [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) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_INT__simps_I8_J,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__le__iff,axiom,
% 119.46/119.20 ! [V_b_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( 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))
% 119.46/119.20 <=> ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__upper,axiom,
% 119.46/119.20 ! [V_A_2,V_B_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.46/119.20 => 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))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__insert,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__quotient,axiom,
% 119.46/119.20 ! [V_r_2,V_A_2,T_b] :
% 119.46/119.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.46/119.20 => 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 ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_finite__UnionD,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 119.46/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_subset__Pow__Union,axiom,
% 119.46/119.20 ! [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)))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__UNIV,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__Un__distrib,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_UNION__eq__Union__image,axiom,
% 119.46/119.20 ! [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)) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__image__eq,axiom,
% 119.46/119.20 ! [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) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__upper,axiom,
% 119.46/119.20 ! [V_A_2,V_x_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.46/119.20 => 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))) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__empty,axiom,
% 119.46/119.20 ! [T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__singleton,axiom,
% 119.46/119.20 ! [V_a_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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 ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__insert,axiom,
% 119.46/119.20 ! [V_A_2,V_a_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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)) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__UNIV,axiom,
% 119.46/119.20 ! [T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Un__eq__Union,axiom,
% 119.46/119.20 ! [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))))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Un__Union__image,axiom,
% 119.46/119.20 ! [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))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__Int__subset,axiom,
% 119.46/119.20 ! [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)))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__binary,axiom,
% 119.46/119.20 ! [V_b_2,V_a_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => 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) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_sup__Sup__fold__sup,axiom,
% 119.46/119.20 ! [V_B_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => 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) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__fin__Sup,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.46/119.20 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Sup__fold__sup,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => 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) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_inj__on__Inter,axiom,
% 119.46/119.20 ! [V_f_2,T_c,T_b,V_S_2] :
% 119.46/119.20 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 119.46/119.20 => ( ! [B_A] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 119.46/119.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 119.46/119.20 => 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Inter__subset,axiom,
% 119.46/119.20 ! [V_B_2,V_A_2,T_b] :
% 119.46/119.20 ( ! [B_X] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 119.46/119.20 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 119.46/119.20 => 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Union__def,axiom,
% 119.46/119.20 ! [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))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_finite__Union,axiom,
% 119.46/119.20 ! [V_A_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 119.46/119.20 => ( ! [B_M] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 119.46/119.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_insert__partition,axiom,
% 119.46/119.20 ! [V_F_2,V_x_2,T_b] :
% 119.46/119.20 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => ! [B_xa] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => ( B_x != B_xa
% 119.46/119.20 => 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)) ) ) )
% 119.46/119.20 => 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_card__partition,axiom,
% 119.46/119.20 ! [V_k_2,V_C_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 119.46/119.20 => ( ! [B_c] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 119.46/119.20 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 119.46/119.20 => ( ! [B_c1] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 119.46/119.20 => ! [B_c2] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 119.46/119.20 => ( B_c1 != B_c2
% 119.46/119.20 => 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)) ) ) )
% 119.46/119.20 => 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)) ) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 119.46/119.20 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 119.46/119.20 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.46/119.20 => ( 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))
% 119.46/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.46/119.20 => ~ ! [B_y] :
% 119.46/119.20 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 119.46/119.20 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 119.46/119.20 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Orderings_Olinorder(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 119.46/119.20 => 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))) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 119.46/119.20 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Orderings_Olinorder(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 119.46/119.20 => 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))) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_InterI,axiom,
% 119.46/119.20 ! [V_A_2,V_C_2,T_b] :
% 119.46/119.20 ( ! [B_X] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 119.46/119.20 => 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))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_inf__le__fold__inf,axiom,
% 119.46/119.20 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Lattices_Osemilattice__inf(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 119.46/119.20 => 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))) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_fold__sup__le__sup,axiom,
% 119.46/119.20 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 119.46/119.20 ( class_Lattices_Osemilattice__sup(T_b)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 119.46/119.20 => 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))) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_wf__eq__minimal,axiom,
% 119.46/119.20 ! [V_r_2,T_b] :
% 119.46/119.20 ( c_Wellfounded_Owf(T_b,V_r_2)
% 119.46/119.20 <=> ! [B_Q] :
% 119.46/119.20 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 119.46/119.20 => ? [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 119.46/119.20 & ! [B_y] :
% 119.46/119.20 ( 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))
% 119.46/119.20 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 119.46/119.20 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.46/119.20 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 119.46/119.20 => 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)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_transfer__nat__int__set__cong,axiom,
% 119.46/119.20 ! [V_P_H_2,V_P_2] :
% 119.46/119.20 ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 119.46/119.20 => ( hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.20 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 119.46/119.20 => 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)) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 119.46/119.20 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.46/119.20 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.46/119.20 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 119.46/119.20 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.46/119.20 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 119.46/119.20 => 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) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 119.46/119.20 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.46/119.20 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.46/119.20 => 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 119.46/119.20 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 119.46/119.20 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 119.46/119.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 119.46/119.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 119.46/119.20 => 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) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_Int__Collect__mono,axiom,
% 119.46/119.20 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => ( hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.20 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 119.46/119.20 => 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)))) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_UnionE,axiom,
% 119.46/119.20 ! [V_C_2,V_A_2,T_b] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => ~ ! [B_X] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 119.46/119.20 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_rel__compE,axiom,
% 119.46/119.20 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => ~ ! [B_x,B_y,B_z] :
% 119.46/119.20 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 119.46/119.20 => ( 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))
% 119.46/119.20 => ~ 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)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_converseE,axiom,
% 119.46/119.20 ! [V_r_2,V_yx_2,T_c,T_b] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => ~ ! [B_x,B_y] :
% 119.46/119.20 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 119.46/119.20 => ~ 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)) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_setprod__pos,axiom,
% 119.46/119.20 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.46/119.20 ( class_Rings_Olinordered__semidom(T_c)
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 119.46/119.20 => 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))) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_setprod__nonneg,axiom,
% 119.46/119.20 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.46/119.20 ( class_Rings_Olinordered__semidom(T_c)
% 119.46/119.20 => ( ! [B_x] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 119.46/119.20 => 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))) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_finite__less__ub,axiom,
% 119.46/119.20 ! [V_u_2,V_f_2] :
% 119.46/119.20 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 119.46/119.20 => 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)))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_finite__induct,axiom,
% 119.46/119.20 ! [V_P_2,V_F_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 119.46/119.20 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 119.46/119.20 => ( ! [B_x,B_F] :
% 119.46/119.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 119.46/119.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 119.46/119.20 => ( hBOOL(hAPP(V_P_2,B_F))
% 119.46/119.20 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 119.46/119.20 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_lenlex__def,axiom,
% 119.46/119.20 ! [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)))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_measure__function__int,axiom,
% 119.46/119.20 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))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_measure__snd,axiom,
% 119.46/119.20 ! [T_c,V_f_2,T_b] :
% 119.46/119.20 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 119.46/119.20 => 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))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_measure__fst,axiom,
% 119.46/119.20 ! [T_c,V_f_2,T_b] :
% 119.46/119.20 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 119.46/119.20 => 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))) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_is__measure_Osimps,axiom,
% 119.46/119.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_is__measure_Oequations,axiom,
% 119.46/119.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_is__measure_Ointros,axiom,
% 119.46/119.20 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_neq__if__length__neq,axiom,
% 119.46/119.20 ! [V_ys,V_xs,T_a] :
% 119.46/119.20 ( 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)
% 119.46/119.20 => V_xs != V_ys ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_lexn__length,axiom,
% 119.46/119.20 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.20 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 119.46/119.20 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_measure__size,axiom,
% 119.46/119.20 ! [T_b] :
% 119.46/119.20 ( class_Nat_Osize(T_b)
% 119.46/119.20 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_lenlex__conv,axiom,
% 119.46/119.20 ! [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)))))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_length__sublist,axiom,
% 119.46/119.20 ! [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)))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_lexn_Osimps_I2_J,axiom,
% 119.46/119.20 ! [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)))))) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_impossible__Cons,axiom,
% 119.46/119.20 ! [V_x,V_ys,V_xs,T_a] :
% 119.46/119.20 ( 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)))
% 119.46/119.20 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_not__Cons__self,axiom,
% 119.46/119.20 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_not__Cons__self2,axiom,
% 119.46/119.20 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 119.46/119.20
% 119.46/119.20 fof(fact_list_Oinject,axiom,
% 119.46/119.20 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 119.46/119.20 ( 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)
% 119.46/119.20 <=> ( V_a_2 = V_a_H_2
% 119.46/119.20 & V_list_2 = V_list_H_2 ) ) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_bool_Osize_I4_J,axiom,
% 119.46/119.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.46/119.20
% 119.46/119.20 fof(fact_bool_Osize_I3_J,axiom,
% 119.46/119.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 119.46/119.20
% 119.46/119.21 fof(fact_list_Osize_I4_J,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Cons__in__lex,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( ( hBOOL(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))
% 119.46/119.21 & 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) )
% 119.46/119.21 | ( V_x_2 = V_y_2
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__Cons__def,axiom,
% 119.46/119.21 ! [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)))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_pick_Osimps,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_i] :
% 119.46/119.21 ( ( 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)))
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select__weight__cons__zero,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__cons__cons,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( 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))
% 119.46/119.21 | ( V_a_2 = V_b_2
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__lex,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 & 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(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)))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osize_I2_J,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Cons__acc__listrel1I,axiom,
% 119.46/119.21 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 119.46/119.21 => ( 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))))
% 119.46/119.21 => 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)))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1__converse,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1__mono,axiom,
% 119.46/119.21 ! [V_s_2,V_r_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1I2,axiom,
% 119.46/119.21 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 119.46/119.21 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1__eq__len,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__listrel1__converse,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 119.46/119.21 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1I1,axiom,
% 119.46/119.21 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(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))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Cons__listrel1__Cons,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( ( hBOOL(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))
% 119.46/119.21 & V_xs_2 = V_ys_2 )
% 119.46/119.21 | ( V_x_2 = V_y_2
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__Cons,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__irreflexive,axiom,
% 119.46/119.21 ! [V_y_2,V_r_2,T_b] :
% 119.46/119.21 ( ! [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))
% 119.46/119.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__rtrancl__refl,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__mono,axiom,
% 119.46/119.21 ! [V_s_2,V_r_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__eq__len,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__rtrancl__trans,axiom,
% 119.46/119.21 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1__subset__listrel,axiom,
% 119.46/119.21 ! [V_r_H_2,V_r_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel_OCons,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(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))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrelp__listrel__eq,axiom,
% 119.46/119.21 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__Cons2,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => ~ ! [B_x,B_xs] :
% 119.46/119.21 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 119.46/119.21 => ( 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))
% 119.46/119.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrelp_OCons,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 119.46/119.21 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrelp_Oequations_I2_J,axiom,
% 119.46/119.21 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 119.46/119.21 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__Cons1,axiom,
% 119.46/119.21 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => ~ ! [B_y,B_ys] :
% 119.46/119.21 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 119.46/119.21 => ( 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))
% 119.46/119.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__subset,axiom,
% 119.46/119.21 ! [V_A_2,V_r_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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))))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__UNIV,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__mono,axiom,
% 119.46/119.21 ! [V_B_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_equiv__listrel,axiom,
% 119.46/119.21 ! [V_r_2,V_A_2,T_b] :
% 119.46/119.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__refl__on,axiom,
% 119.46/119.21 ! [V_r_2,V_A_2,T_b] :
% 119.46/119.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Cons__in__lists__iff,axiom,
% 119.46/119.21 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__accD,axiom,
% 119.46/119.21 ! [V_r_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__accI,axiom,
% 119.46/119.21 ! [V_r_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__iff__nth,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & ! [B_n] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__linear,axiom,
% 119.46/119.21 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 119.46/119.21 ( ! [B_a,B_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 | B_a = B_b
% 119.46/119.21 | 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)) )
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 | V_x_2 = V_y_2
% 119.46/119.21 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_infinite__UNIV__listI,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__Cons__Suc,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__Cons__0,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth_Osimps,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__eq__iff__nth__eq,axiom,
% 119.46/119.21 ! [T_b,V_ys_2,V_xs_2] :
% 119.46/119.21 ( V_xs_2 = V_ys_2
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & ! [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__Cons_H,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_n] :
% 119.46/119.21 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 119.46/119.21 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__Cons__number__of,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_v] :
% 119.46/119.21 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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 )
% 119.46/119.21 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select__def,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__take__index__conv,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( ( 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)))
% 119.46/119.21 & 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 )
% 119.46/119.21 | ? [B_i] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 119.46/119.21 & 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__all,axiom,
% 119.46/119.21 ! [V_n,V_xs,T_a] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__take,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_n,V_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__take,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Suc__Cons,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__take,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__upt__eq__take,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_pick__same,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_l_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_finite__lists__length__le,axiom,
% 119.46/119.21 ! [V_na_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => 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))))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_finite__set,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__mapI,axiom,
% 119.46/119.21 ! [V_f_2,T_c,T_b] :
% 119.46/119.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__take__subset,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__takeD,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__on__mapI,axiom,
% 119.46/119.21 ! [V_A_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__on__map__eq__map,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( 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)
% 119.46/119.21 <=> V_xs_2 = V_ys_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__inj__on,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => V_xs_2 = V_ys_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__eq__conv,axiom,
% 119.46/119.21 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 119.46/119.21 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__ident,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_List_Omap_Oid,axiom,
% 119.46/119.21 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_List_Omap_Oidentity,axiom,
% 119.46/119.21 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__map,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_List_Omap_Ocompositionality,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__comp__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_List_Omap_Ocomp,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__fun__upd,axiom,
% 119.46/119.21 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 119.46/119.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_notin__set__sublistI,axiom,
% 119.46/119.21 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ~ 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__sublistD,axiom,
% 119.46/119.21 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__ConsD,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => ( V_y_2 = V_x_2
% 119.46/119.21 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__eq__imp__length__eq,axiom,
% 119.46/119.21 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__map,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__map__eq__map,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.46/119.21 => ( 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)
% 119.46/119.21 <=> V_xs_2 = V_ys_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__injective,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 119.46/119.21 => V_xs_2 = V_ys_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__sublist__subset,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__subset__Cons,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__map,axiom,
% 119.46/119.21 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__mapD,axiom,
% 119.46/119.21 ! [V_f_2,T_c,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__map,axiom,
% 119.46/119.21 ! [V_f_2,T_c,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_card__length,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_all__set__conv__all__nth,axiom,
% 119.46/119.21 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.21 ( ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.21 <=> ! [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__take__subset__set__take,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__size__map,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__size__estimation,axiom,
% 119.46/119.21 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__size__estimation_H,axiom,
% 119.46/119.21 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__lists__conv__set,axiom,
% 119.46/119.21 ! [V_A_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__pos__if__in__set,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__conv__nth,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 <=> ? [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__mem,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_na_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__eq__set,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__conv__nth,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_finite__lists__length__eq,axiom,
% 119.46/119.21 ! [V_na_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => 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))))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__sublist,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__iff__zip,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select__weigth__select,axiom,
% 119.46/119.21 ! [T_b,V_xs_2] :
% 119.46/119.21 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists_ONil,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__Nil2,axiom,
% 119.46/119.21 ! [V_r_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__Nil1,axiom,
% 119.46/119.21 ! [V_r_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__empty,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__empty2,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__is__Nil__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nil__is__map__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__map__fst__snd,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__snd__zip,axiom,
% 119.46/119.21 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => 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 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__eq__conv,axiom,
% 119.46/119.21 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 119.46/119.21 <=> ( 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
% 119.46/119.21 & 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 ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__fst__zip,axiom,
% 119.46/119.21 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => 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 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrelp_ONil,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrelp_Oequations_I1_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__empty,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osize_I1_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osize_I3_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__0__conv,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__zip,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osimps_I3_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__Nil,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__nil,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__zip,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Nil,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__eq__Nil,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__0,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Cons,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__same__conv__map,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__greater__0__conv,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__1__Cons,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__zip__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__zip__map2,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__Cons__Cons,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_not__listrel1__Nil,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_not__Nil__listrel1,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__map__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__map1,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__map2,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel_ONil,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__Nil__right,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nil2__notin__lex,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nil__notin__lex,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__eq__iff__zip__eq,axiom,
% 119.46/119.21 ! [T_b,V_ys_2,V_xs_2] :
% 119.46/119.21 ( V_xs_2 = V_ys_2
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__same,axiom,
% 119.46/119.21 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 & V_a_2 = V_b_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__zip__leftD,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__zip__rightD,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__zipE,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__zip,axiom,
% 119.46/119.21 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__singleton,axiom,
% 119.46/119.21 ! [V_x_2,T_b,V_A_2] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__empty,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Cons_H,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_n] :
% 119.46/119.21 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select,axiom,
% 119.46/119.21 ! [V_s_2,T_b,V_xs_2] :
% 119.46/119.21 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel__Nil,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__Cons__sing__Nil,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Cons__number__of,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_v] :
% 119.46/119.21 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__zip,axiom,
% 119.46/119.21 ! [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)))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listset_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select__weight__member,axiom,
% 119.46/119.21 ! [V_s_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__simps_I1_J,axiom,
% 119.46/119.21 ! [T_a] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_a)
% 119.46/119.21 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__simps_I2_J,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_a)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__0,axiom,
% 119.46/119.21 ! [V_xs_2,T_c,T_b] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__addf,axiom,
% 119.46/119.21 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__mult__const,axiom,
% 119.46/119.21 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Rings_Osemiring__0(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__const__mult,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 119.46/119.21 ( class_Rings_Osemiring__0(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__subtractf,axiom,
% 119.46/119.21 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Groups_Oab__group__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__abs,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_uminus__listsum__map,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Groups_Oab__group__add(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__triv,axiom,
% 119.46/119.21 ! [V_xs_2,V_r_2,T_c,T_b] :
% 119.46/119.21 ( class_Rings_Osemiring__1(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listset_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__setsum__nth,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_pick__member,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_i_2] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select__weight__def,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__Cons,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__Cons1,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 119.46/119.21 ! [V_ns_2] :
% 119.46/119.21 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 119.46/119.21 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_elem__le__listsum__nat,axiom,
% 119.46/119.21 ! [V_ns,V_k] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__size__conv__listsum,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osimps_I5_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list_Osimps_I4_J,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upto_Opsimps,axiom,
% 119.46/119.21 ! [V_j_2,V_i_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 119.46/119.21 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_anamorph_Osimps,axiom,
% 119.46/119.21 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 119.46/119.21 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_atLeastAtMost__upto,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__upto,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upto__empty,axiom,
% 119.46/119.21 ! [V_i,V_j] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 119.46/119.21 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 119.46/119.21 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 119.46/119.21 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upto_Osimps,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 119.46/119.21 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_atLeastLessThan__upto,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_greaterThanAtMost__upto,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upto__rec__number__of,axiom,
% 119.46/119.21 ! [V_n,V_m] :
% 119.46/119.21 ( ( 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)))
% 119.46/119.21 => 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))) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_greaterThanLessThan__upto,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__update__nat,axiom,
% 119.46/119.21 ! [V_n,V_ns,V_k] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__Cons,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__eq__Cons__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 119.46/119.21 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 119.46/119.21 | ? [B_ys_H] :
% 119.46/119.21 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 119.46/119.21 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Cons__eq__append__conv,axiom,
% 119.46/119.21 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 119.46/119.21 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 119.46/119.21 | ? [B_ys_H] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 119.46/119.21 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append1__eq__conv,axiom,
% 119.46/119.21 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 <=> ( V_xs_2 = V_ys_2
% 119.46/119.21 & V_x_2 = V_y_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__append,axiom,
% 119.46/119.21 ! [V_ys,V_xs,T_a] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_a)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Cons__eq__appendI,axiom,
% 119.46/119.21 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 119.46/119.21 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 119.46/119.21 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__code_I3_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__Cons,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__code_I2_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__length,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__update,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__beyond,axiom,
% 119.46/119.21 ! [V_x,V_i,V_xs,T_a] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__list__update__neq,axiom,
% 119.46/119.21 ! [V_x,V_xs,T_a,V_j,V_i] :
% 119.46/119.21 ( V_i != V_j
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__id,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__append1,axiom,
% 119.46/119.21 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__list__update,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__append,axiom,
% 119.46/119.21 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 119.46/119.21 ( ( 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)))
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_eq__Nil__appendI,axiom,
% 119.46/119.21 ! [T_a,V_ys,V_xs] :
% 119.46/119.21 ( V_xs = V_ys
% 119.46/119.21 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__code_I1_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__nonempty,axiom,
% 119.46/119.21 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__self__conv2,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__self__conv,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 119.46/119.21 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__is__Nil__conv,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 119.46/119.21 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_self__append__conv2,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_ys_2] :
% 119.46/119.21 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_self__append__conv,axiom,
% 119.46/119.21 ! [V_ys_2,T_b,V_xs_2] :
% 119.46/119.21 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 119.46/119.21 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__Nil2,axiom,
% 119.46/119.21 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nil__is__append__conv,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 119.46/119.21 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 119.46/119.21 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__Nil,axiom,
% 119.46/119.21 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__append,axiom,
% 119.46/119.21 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => ( 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)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__update,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_update__zip,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__assoc,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__eq__append__conv2,axiom,
% 119.46/119.21 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2)
% 119.46/119.21 <=> ? [B_us] :
% 119.46/119.21 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 119.46/119.21 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 )
% 119.46/119.21 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 119.46/119.21 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_same__append__eq,axiom,
% 119.46/119.21 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> V_ys_2 = V_zs_2 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__same__eq,axiom,
% 119.46/119.21 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> V_ys_2 = V_zs_2 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__overwrite,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__swap,axiom,
% 119.46/119.21 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 119.46/119.21 ( V_i != V_i_H
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__eq__appendI,axiom,
% 119.46/119.21 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 119.46/119.21 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 119.46/119.21 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__in__lists__conv,axiom,
% 119.46/119.21 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__append__length,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__append__length__plus,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__listrel1I,axiom,
% 119.46/119.21 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 & V_us_2 = V_vs_2 )
% 119.46/119.21 | ( V_xs_2 = V_ys_2
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__update__subsetI,axiom,
% 119.46/119.21 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__update__subset__insert,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__append__leftI,axiom,
% 119.46/119.21 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__list__update__eq,axiom,
% 119.46/119.21 ! [V_x,V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update__same__conv,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 119.46/119.21 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__list__update,axiom,
% 119.46/119.21 ! [V_x,V_j,V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( ( V_i = V_j
% 119.46/119.21 => 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 )
% 119.46/119.21 & ( V_i != V_j
% 119.46/119.21 => 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) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__update_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__append,axiom,
% 119.46/119.21 ! [V_ys,V_xs,T_a,V_n] :
% 119.46/119.21 ( ( 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)))
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__update__memI,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__append,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1I,axiom,
% 119.46/119.21 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(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))
% 119.46/119.21 => ( 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))
% 119.46/119.21 => ( 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))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__append__left__rightI,axiom,
% 119.46/119.21 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Suc__conv__app__nth,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 & V_x_2 = V_y_2 )
% 119.46/119.21 | ( V_xs_2 = V_ys_2
% 119.46/119.21 & hBOOL(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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1__iff__update,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ? [B_y,B_n] :
% 119.46/119.21 ( 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))
% 119.46/119.21 & 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)))
% 119.46/119.21 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nat__list__def,axiom,
% 119.46/119.21 ! [V_l_2] :
% 119.46/119.21 ( c_List_Onat__list(V_l_2)
% 119.46/119.21 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listrel1E,axiom,
% 119.46/119.21 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => ~ ! [B_x,B_y] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => ! [B_us,B_vs] :
% 119.46/119.21 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 119.46/119.21 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__append__leftD,axiom,
% 119.46/119.21 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 => ( ! [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))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate1__def,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upd__conv__take__nth__drop,axiom,
% 119.46/119.21 ! [V_a,V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__rotate1,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__dropD,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__drop__subset,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__zip,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__0,axiom,
% 119.46/119.21 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__drop,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__drop,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__take,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__Nil,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate1__is__Nil__conv,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__drop,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__rotate1,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__via__drop,axiom,
% 119.46/119.21 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 119.46/119.21 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__1__Cons,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__Suc__Cons,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__take__drop__id,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__drop__subset__set__drop,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__eq__Nil,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__all,axiom,
% 119.46/119.21 ! [V_n,V_xs,T_a] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__eq__conv__conj,axiom,
% 119.46/119.21 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__Cons,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__Cons_H,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_n] :
% 119.46/119.21 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__drop,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_i,V_n] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__eq__append__conv__if,axiom,
% 119.46/119.21 ! [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] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> ( ( 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)))
% 119.46/119.21 => ( 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)
% 119.46/119.21 & 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) ) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => ( 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
% 119.46/119.21 & 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 ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__drop_H,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__simps,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_b,T_a] :
% 119.46/119.21 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 119.46/119.21 & 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__Cons__number__of,axiom,
% 119.46/119.21 ! [V_xs,V_x,T_a,V_v] :
% 119.46/119.21 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__add,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_j,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate1__length01,axiom,
% 119.46/119.21 ! [V_xs,T_a] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__append1,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__append2,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_id__take__nth__drop,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__hd__drop,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_n] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__drop__conv__nth,axiom,
% 119.46/119.21 ! [V_n,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd_Osimps,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__map,axiom,
% 119.46/119.21 ! [V_f_2,T_c,T_b,V_xs_2] :
% 119.46/119.21 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__append2,axiom,
% 119.46/119.21 ! [V_ys,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__append,axiom,
% 119.46/119.21 ! [V_ys,T_a,V_xs] :
% 119.46/119.21 ( ( V_xs = c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__in__set,axiom,
% 119.46/119.21 ! [T_b,V_xs_2] :
% 119.46/119.21 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__conv__nth,axiom,
% 119.46/119.21 ! [T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate1__hd__tl,axiom,
% 119.46/119.21 ! [T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__list__update,axiom,
% 119.46/119.21 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => ( ~ 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))))))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__drop,axiom,
% 119.46/119.21 ! [V_i,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__tl,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_tl__drop,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__tl,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__tl,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__zipI1,axiom,
% 119.46/119.21 ! [V_ys,T_b,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__zipI2,axiom,
% 119.46/119.21 ! [V_xs,T_b,V_ys,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__sublistI,axiom,
% 119.46/119.21 ! [V_I_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__tl,axiom,
% 119.46/119.21 ! [V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__take,axiom,
% 119.46/119.21 ! [V_i,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_tl_Osimps_I1_J,axiom,
% 119.46/119.21 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct_Osimps_I1_J,axiom,
% 119.46/119.21 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__upto,axiom,
% 119.46/119.21 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_tl_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_tl__append2,axiom,
% 119.46/119.21 ! [V_ys,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct1__rotate,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 119.46/119.21 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__Suc,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct_Osimps_I2_J,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 119.46/119.21 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__card,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_card__distinct,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__eq__iff__index__eq,axiom,
% 119.46/119.21 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => ( 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)
% 119.46/119.21 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__conv__nth,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 <=> ! [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ! [B_j] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( B_i != B_j
% 119.46/119.21 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__map,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 119.46/119.21 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 119.46/119.21 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_tl__append,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__append,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 119.46/119.21 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 119.46/119.21 & 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__tl,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 119.46/119.21 ! [V_f_2,V_xs_2,T_b,T_c] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_tl__take,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__Suc,axiom,
% 119.46/119.21 ! [V_n,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 119.46/119.21 ! [V_f_2,V_A_2,T_b,T_c] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.46/119.21 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => 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))))) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nitpick_Ocard_H__def,axiom,
% 119.46/119.21 ! [V_A_2,T_b] :
% 119.46/119.21 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => 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)))) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_fold1__set,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 119.46/119.21 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__rotate__conv__nth,axiom,
% 119.46/119.21 ! [V_n,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__rotate,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 119.46/119.21 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__rotate,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__map,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__rotate,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__assoc,axiom,
% 119.46/119.21 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Groups_Osemigroup__add(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__absorb0,axiom,
% 119.46/119.21 ! [V_zs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_start__le__sum,axiom,
% 119.46/119.21 ! [V_ns_2,V_na_2,V_m_2] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__is__Nil__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__Nil,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__rotate,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__Cons,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__append,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__def,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate1__rotate__swap,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__conv__mod,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__Suc,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__foldl,axiom,
% 119.46/119.21 ! [T_b] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sum__eq__0__conv,axiom,
% 119.46/119.21 ! [V_ns_2,V_m_2] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 119.46/119.21 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate0,axiom,
% 119.46/119.21 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__add,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__id,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_n] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__length01,axiom,
% 119.46/119.21 ! [V_n,V_xs,T_a] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 119.46/119.21 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Sup__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Inf__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Sup__fin__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Lattices_Olattice(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Inf__fin__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Lattices_Olattice(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Min__fin__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Max__fin__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_SUPR__set__fold,axiom,
% 119.46/119.21 ! [V_f_2,V_xs_2,T_c,T_b] :
% 119.46/119.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_INFI__set__fold,axiom,
% 119.46/119.21 ! [V_f_2,V_xs_2,T_c,T_b] :
% 119.46/119.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_elem__le__sum,axiom,
% 119.46/119.21 ! [V_ns_2,V_na_2] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rotate__drop__take,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__append__rightI,axiom,
% 119.46/119.21 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 119.46/119.21 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lexord__Nil__left,axiom,
% 119.46/119.21 ! [V_r_2,V_y_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.21 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__list__update,axiom,
% 119.46/119.21 ! [V_x,V_k,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => ( ( 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))
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 119.46/119.21 & ( 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))
% 119.46/119.21 => 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) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__mono,axiom,
% 119.46/119.21 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 119.46/119.21 ( ( class_Groups_Omonoid__add(T_c)
% 119.46/119.21 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 119.46/119.21 => ( ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 119.46/119.21 => 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)))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__map,axiom,
% 119.46/119.21 ! [V_f_2,T_c,T_b,V_xs_2] :
% 119.46/119.21 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last_Osimps,axiom,
% 119.46/119.21 ! [V_x,T_a,V_xs] :
% 119.46/119.21 ( ( V_xs = c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 119.46/119.21 & ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__ConsR,axiom,
% 119.46/119.21 ! [V_x,T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__ConsL,axiom,
% 119.46/119.21 ! [V_x,T_a,V_xs] :
% 119.46/119.21 ( V_xs = c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__appendL,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_ys] :
% 119.46/119.21 ( V_ys = c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__appendR,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_ys] :
% 119.46/119.21 ( V_ys != c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__append,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_ys] :
% 119.46/119.21 ( ( V_ys = c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 119.46/119.21 & ( V_ys != c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__in__set,axiom,
% 119.46/119.21 ! [T_b,V_as_2] :
% 119.46/119.21 ( V_as_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__snoc,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__drop,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_n] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__conv__nth,axiom,
% 119.46/119.21 ! [T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists_Osimps,axiom,
% 119.46/119.21 ! [V_A_2,V_a_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 119.46/119.21 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 119.46/119.21 | ? [B_a,B_l] :
% 119.46/119.21 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 119.46/119.21 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__size__pointwise,axiom,
% 119.46/119.21 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 119.46/119.21 ( ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast__take,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_n] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__take__lemma,axiom,
% 119.46/119.21 ! [V_ys,V_xs,T_a,V_k] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => ( ! [B_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 119.46/119.21 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 119.46/119.21 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__butlast,axiom,
% 119.46/119.21 ! [T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__butlast,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast__drop,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__butlastD,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__butlast,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast_Osimps_I1_J,axiom,
% 119.46/119.21 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast_Osimps_I2_J,axiom,
% 119.46/119.21 ! [V_x,T_a,V_xs] :
% 119.46/119.21 ( ( V_xs = c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 119.46/119.21 & ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast__append,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_ys] :
% 119.46/119.21 ( ( V_ys = c_List_Olist_ONil(T_a)
% 119.46/119.21 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 119.46/119.21 & ( V_ys != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__butlast__appendI,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 119.46/119.21 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 119.46/119.21 => 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))))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast__snoc,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__butlast,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_n] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__butlast,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast__conv__take,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_butlast__list__update,axiom,
% 119.46/119.21 ! [V_x,V_xs,T_a,V_k] :
% 119.46/119.21 ( ( 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))
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( 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))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__butlast__last__id,axiom,
% 119.46/119.21 ! [T_a,V_xs] :
% 119.46/119.21 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => 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 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_snoc__eq__iff__butlast,axiom,
% 119.46/119.21 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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
% 119.46/119.21 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 119.46/119.21 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 119.46/119.21 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__map__remove1,axiom,
% 119.46/119.21 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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)))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__remove1__eq,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1_Osimps_I2_J,axiom,
% 119.46/119.21 ! [V_xs,T_a,V_y,V_x] :
% 119.46/119.21 ( ( V_x = V_y
% 119.46/119.21 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 119.46/119.21 & ( V_x != V_y
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1_Osimps_I1_J,axiom,
% 119.46/119.21 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1__commute,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__remove1__subset,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1__idem,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_notin__set__remove1,axiom,
% 119.46/119.21 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ~ 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__set__remove1,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 119.46/119.21 ( V_a_2 != V_b_2
% 119.46/119.21 => ( 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))))
% 119.46/119.21 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__remove1,axiom,
% 119.46/119.21 ! [V_x,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1__append,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__remove1,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__list__of__set__remove,axiom,
% 119.46/119.21 ! [V_x_2,V_A_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition__set,axiom,
% 119.46/119.21 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__list__of__set__empty,axiom,
% 119.46/119.21 ! [T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition__P,axiom,
% 119.46/119.21 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => ( ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 119.46/119.21 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 119.46/119.21 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__list__of__set__insert,axiom,
% 119.46/119.21 ! [V_x_2,V_A_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => 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)))))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__IntI,axiom,
% 119.46/119.21 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp_ONil,axiom,
% 119.46/119.21 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_append__in__listsp__conv,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 119.46/119.21 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 119.46/119.21 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__key_Osimps_I1_J,axiom,
% 119.46/119.21 ! [V_x_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp_Oequations_I2_J,axiom,
% 119.46/119.21 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 119.46/119.21 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 119.46/119.21 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__key_Osimps_I2_J,axiom,
% 119.46/119.21 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( ( 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)))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__insort,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp_Oequations_I1_J,axiom,
% 119.46/119.21 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__not__Nil,axiom,
% 119.46/119.21 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_fun__left__comm__insort,axiom,
% 119.46/119.21 ! [T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp__conj__eq,axiom,
% 119.46/119.21 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 119.46/119.21 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__left__comm,axiom,
% 119.46/119.21 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__key__left__comm,axiom,
% 119.46/119.21 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp__inf__eq,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp__infI,axiom,
% 119.46/119.21 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_in__listsp__conv__set,axiom,
% 119.46/119.21 ! [V_xs_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__insort,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1__insort,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__insort,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp__mono,axiom,
% 119.46/119.21 ! [V_B_2,V_A_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsp__lists__eq,axiom,
% 119.46/119.21 ! [V_x_2,V_A_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_lists__Int__eq,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__insert__insort__key,axiom,
% 119.46/119.21 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( ~ 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))))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__insert__insort,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__insort__insert,axiom,
% 119.46/119.21 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__insert__triv,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__insort__insert,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__insert__key__triv,axiom,
% 119.46/119.21 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( 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))))
% 119.46/119.21 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_product_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__def,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__append,axiom,
% 119.46/119.21 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => ( 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))
% 119.46/119.21 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__appendI,axiom,
% 119.46/119.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 119.46/119.21 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__Cons,axiom,
% 119.46/119.21 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 119.46/119.21 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__lengthD,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__Nil2,axiom,
% 119.46/119.21 ! [V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__Nil,axiom,
% 119.46/119.21 ! [V_ys_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 119.46/119.21 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__takeI,axiom,
% 119.46/119.21 ! [V_na_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__eq,axiom,
% 119.46/119.21 ! [T_b,V_ys_2,V_xs_2] :
% 119.46/119.21 ( V_xs_2 = V_ys_2
% 119.46/119.21 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__map1,axiom,
% 119.46/119.21 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__map2,axiom,
% 119.46/119.21 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__dropI,axiom,
% 119.46/119.21 ! [V_na_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_product_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__conv__all__nth,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 <=> ( 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)
% 119.46/119.21 & ! [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__nthD,axiom,
% 119.46/119.21 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__nthD2,axiom,
% 119.46/119.21 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__update__cong,axiom,
% 119.46/119.21 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 119.46/119.21 => 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__update__cong2,axiom,
% 119.46/119.21 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__product,axiom,
% 119.46/119.21 ! [V_ys,T_b,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_product__list__set,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublists__powset,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__sublists,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublists_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublists_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__set__sublists,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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)))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__n__lists,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_enum__the__def,axiom,
% 119.46/119.21 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__n__lists,axiom,
% 119.46/119.21 ! [V_n,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_n__lists__Nil,axiom,
% 119.46/119.21 ! [T_a,V_n] :
% 119.46/119.21 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => 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))) )
% 119.46/119.21 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_n__lists_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__n__lists,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__n__lists__elem,axiom,
% 119.46/119.21 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2I,axiom,
% 119.46/119.21 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 119.46/119.21 ( ! [B_x] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 119.46/119.21 => ( 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)
% 119.46/119.21 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_all__nth__imp__all__set,axiom,
% 119.46/119.21 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 119.46/119.21 ( ! [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 119.46/119.21 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__remdups,axiom,
% 119.46/119.21 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__remdups__leq,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups__id__iff__distinct,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 119.46/119.21 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__remdups__id,axiom,
% 119.46/119.21 ! [V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1__remdups,axiom,
% 119.46/119.21 ! [V_x,V_xs,T_a] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__remdups,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__remdups__eq,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups__remdups,axiom,
% 119.46/119.21 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups__map__remdups,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups_Osimps_I1_J,axiom,
% 119.46/119.21 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups__eq__nil__right__iff,axiom,
% 119.46/119.21 ! [V_x_2,T_b] :
% 119.46/119.21 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 119.46/119.21 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups__eq__nil__iff,axiom,
% 119.46/119.21 ! [V_x_2,T_b] :
% 119.46/119.21 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups_Osimps_I2_J,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__remdups__card__conv,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__remdups__concat,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nil__eq__concat__conv,axiom,
% 119.46/119.21 ! [V_xss_2,T_b] :
% 119.46/119.21 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 119.46/119.21 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat__eq__Nil__conv,axiom,
% 119.46/119.21 ! [V_xss_2,T_b] :
% 119.46/119.21 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 119.46/119.21 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sort__key__simps_I1_J,axiom,
% 119.46/119.21 ! [V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat_Osimps_I1_J,axiom,
% 119.46/119.21 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__concat,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat__conv__foldl,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__conv__concat,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__sort,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__sort,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__sort,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 119.46/119.21 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__concat,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__concat,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sort__key__simps_I2_J,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sort__foldl__insort,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat__injective,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 119.46/119.21 => ( 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)
% 119.46/119.21 => ( ! [B_x] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)) )
% 119.46/119.21 => V_xs_2 = V_ys_2 ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat__eq__concat__iff,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( ! [B_x] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)) )
% 119.46/119.21 => ( 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)
% 119.46/119.21 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 119.46/119.21 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_concat__map__singleton,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_n__lists_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose_Osimps_I3_J,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__aux__filter__head,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__concat,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__sort,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__filter,axiom,
% 119.46/119.21 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__id__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__is__subset,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sum__length__filter__compl,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__filter__le,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition__filter2,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition__filter1,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_partition__filter__conv,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__filter,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remove1__filter__not,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 119.46/119.21 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__remove1,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__insort__triv,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter_Osimps_I2_J,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 119.46/119.21 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__empty__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__filter__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_remdups__filter,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__transpose,axiom,
% 119.46/119.21 ! [V_xs_2,T_b,V_i_2] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__map__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__filter,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__filter__less,axiom,
% 119.46/119.21 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__minus__filter__out,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__in__sublist,axiom,
% 119.46/119.21 ! [V_s_2,V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__empty,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 119.46/119.21 <=> ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 119.46/119.21 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__filter__conv__card,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__aux__filter__tail,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose_Opsimps_I3_J,axiom,
% 119.46/119.21 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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))))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose_Opsimps_I2_J,axiom,
% 119.46/119.21 ! [V_xss_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__shift__lemma__Suc,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_pick__drop__zero,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_select__weigth__drop__zero,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose_Opsimps_I1_J,axiom,
% 119.46/119.21 ! [T_b] :
% 119.46/119.21 ( 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))))
% 119.46/119.21 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__max__length,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__aux__max,axiom,
% 119.46/119.21 ! [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)))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldr_Osimps_I1_J,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldr_Osimps_I2_J,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldr__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldr__conv__foldl,axiom,
% 119.46/119.21 ! [V_a_2,V_xs_2,T_b] :
% 119.46/119.21 ( class_Groups_Oab__semigroup__add(T_b)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldr__map,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__foldr1,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__foldr1__lemma,axiom,
% 119.46/119.21 ! [V_xs_2,V_a_2,T_b] :
% 119.46/119.21 ( class_Groups_Omonoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__transpose,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__def,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sublist__shift__lemma,axiom,
% 119.46/119.21 ! [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))))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__upt,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_atLeastLessThan__upt,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__upt,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__Suc__append,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__Suc,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => 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))) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__add__eq__append,axiom,
% 119.46/119.21 ! [V_k,V_j,V_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__rec,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => 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)) )
% 119.46/119.21 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__conv__Cons,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__0,axiom,
% 119.46/119.21 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__conv__Nil,axiom,
% 119.46/119.21 ! [V_i,V_j] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 119.46/119.21 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__eq__Nil__conv,axiom,
% 119.46/119.21 ! [V_j_2,V_i_2] :
% 119.46/119.21 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 119.46/119.21 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.21 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_drop__upt,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_hd__upt,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_take__upt,axiom,
% 119.46/119.21 ! [V_n,V_m,V_i] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__list__of__set__range,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__upt,axiom,
% 119.46/119.21 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__rec__number__of,axiom,
% 119.46/119.21 ! [V_n,V_m] :
% 119.46/119.21 ( ( 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)))
% 119.46/119.21 => 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))) )
% 119.46/119.21 & ( ~ 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)))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_upt__eq__Cons__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 119.46/119.21 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 119.46/119.21 & V_i_2 = V_x_2
% 119.46/119.21 & 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 ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_last__upt,axiom,
% 119.46/119.21 ! [V_j,V_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__Suc__upt,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_atLeastAtMost__upt,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_atLeast__upt,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__upt,axiom,
% 119.46/119.21 ! [V_j,V_k,V_i] :
% 119.46/119.21 ( 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))
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_greaterThanAtMost__upt,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_greaterThanLessThan__upt,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_atMost__upto,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__nth,axiom,
% 119.46/119.21 ! [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 ).
% 119.46/119.21
% 119.46/119.21 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 119.46/119.21 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 119.46/119.21 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__map__upt,axiom,
% 119.46/119.21 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__rectangle,axiom,
% 119.46/119.21 ! [V_na_2,T_b,V_xs_2] :
% 119.46/119.21 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 119.46/119.21 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 119.46/119.21 => ( ! [B_i] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => 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 )
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__key__remove1,axiom,
% 119.46/119.21 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 119.46/119.21 => ( 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
% 119.46/119.21 => 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 ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted_ONil,axiom,
% 119.46/119.21 ! [T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__single,axiom,
% 119.46/119.21 ! [V_x,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__upt,axiom,
% 119.46/119.21 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__sort,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__insort__insert,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.21 => 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)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__tl,axiom,
% 119.46/119.21 ! [V_xs,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__upto,axiom,
% 119.46/119.21 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__take,axiom,
% 119.46/119.21 ! [V_n,V_xs,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__drop,axiom,
% 119.46/119.21 ! [V_n,V_xs,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__remove1,axiom,
% 119.46/119.21 ! [V_a,V_xs,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__insort,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( 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))
% 119.46/119.21 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted_Oequations_I1_J,axiom,
% 119.46/119.21 ! [T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__many,axiom,
% 119.46/119.21 ! [V_zs,V_y,V_x,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 119.46/119.21 => 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))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__many__eq,axiom,
% 119.46/119.21 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 119.46/119.21 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__butlast,axiom,
% 119.46/119.21 ! [V_xs,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__remdups,axiom,
% 119.46/119.21 ! [V_l,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 119.46/119.21 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__distinct__set__unique,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 119.46/119.21 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 119.46/119.21 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__sort__key,axiom,
% 119.46/119.21 ! [V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__insort__key,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__map__remove1,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__insort__insert__key,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__filter,axiom,
% 119.46/119.21 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 119.46/119.21 => 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))) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__map__same,axiom,
% 119.46/119.21 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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))) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__same,axiom,
% 119.46/119.21 ! [V_xs_2,V_g_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__Cons,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 119.46/119.21 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__append,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 119.46/119.21 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.21 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 119.46/119.21 & ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ! [B_xa] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_filter__insort,axiom,
% 119.46/119.21 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 119.46/119.21 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.21 => 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)) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted_Oequations_I2_J,axiom,
% 119.46/119.21 ! [V_a1_2,V_a2_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 119.46/119.21 <=> ( ! [B_x] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 119.46/119.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 119.46/119.21 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__list__of__set,axiom,
% 119.46/119.21 ! [V_A_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.21 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 119.46/119.21 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 119.46/119.21 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_insort__remove1,axiom,
% 119.46/119.21 ! [V_xs_2,V_a_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.21 => 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 ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__equals__nth__mono,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_b)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.21 <=> ! [B_j] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ! [B_i] :
% 119.46/119.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 119.46/119.21 => 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))) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_sorted__nth__mono,axiom,
% 119.46/119.21 ! [V_j,V_i,V_xs,T_a] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_a)
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 119.46/119.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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))) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_map__sorted__distinct__set__unique,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 119.46/119.21 ( class_Orderings_Olinorder(T_c)
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 119.46/119.21 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 119.46/119.21 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 119.46/119.21 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 119.46/119.21 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_transpose__column,axiom,
% 119.46/119.21 ! [V_i_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( 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)))
% 119.46/119.21 => 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) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_nth__nth__transpose__sorted,axiom,
% 119.46/119.21 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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)))
% 119.46/119.21 => ( 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))))
% 119.46/119.21 => ( 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))))
% 119.46/119.21 => 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) ) ) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_inj__on__rev,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_distinct__rev,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 119.46/119.21 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev_Osimps_I1_J,axiom,
% 119.46/119.21 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_Nil__is__rev__conv,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__is__Nil__conv,axiom,
% 119.46/119.21 ! [V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.21 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_singleton__rev__conv,axiom,
% 119.46/119.21 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.21 ( 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)
% 119.46/119.21 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__singleton__conv,axiom,
% 119.46/119.21 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__append,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__concat,axiom,
% 119.46/119.21 ! [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))) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__map,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__filter,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_zip__rev,axiom,
% 119.46/119.21 ! [V_ys,T_b,V_xs,T_a] :
% 119.46/119.21 ( 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)
% 119.46/119.21 => 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)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_set__rev,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__rev1,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 119.46/119.21 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_list__all2__rev,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 119.46/119.21 ( 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))
% 119.46/119.21 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__is__rev__conv,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 119.46/119.21 <=> V_xs_2 = V_ys_2 ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__swap,axiom,
% 119.46/119.21 ! [V_ys_2,V_xs_2,T_b] :
% 119.46/119.21 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 119.46/119.21 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_rev__rev__ident,axiom,
% 119.46/119.21 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 119.46/119.21
% 119.46/119.21 fof(fact_listsum__rev,axiom,
% 119.46/119.21 ! [V_xs,T_a] :
% 119.46/119.21 ( class_Groups_Ocomm__monoid__add(T_a)
% 119.46/119.21 => 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) ) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_length__rev,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldr__foldl,axiom,
% 119.46/119.21 ! [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)) ).
% 119.46/119.21
% 119.46/119.21 fof(fact_foldl__foldr,axiom,
% 119.46/119.21 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__eq__Cons__iff,axiom,
% 119.46/119.22 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 119.46/119.22 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 119.46/119.22 <=> 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev_Osimps_I2_J,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_last__rev,axiom,
% 119.46/119.22 ! [T_a,V_xs] :
% 119.46/119.22 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.22 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_hd__rev,axiom,
% 119.46/119.22 ! [T_a,V_xs] :
% 119.46/119.22 ( V_xs != c_List_Olist_ONil(T_a)
% 119.46/119.22 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted__transpose,axiom,
% 119.46/119.22 ! [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)))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__foldl__cons,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__drop,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__take,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rotate__rev,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__nth,axiom,
% 119.46/119.22 ! [V_xs,T_a,V_n] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__update,axiom,
% 119.46/119.22 ! [V_y,V_xs,T_a,V_k] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted__rev__nth__mono,axiom,
% 119.46/119.22 ! [V_j,V_i,V_xs,T_a] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_a)
% 119.46/119.22 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 119.46/119.22 => ( 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)))
% 119.46/119.22 => 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))) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_foldr__max__sorted,axiom,
% 119.46/119.22 ! [V_y_2,V_xs_2,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 119.46/119.22 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 119.46/119.22 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 119.46/119.22 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.22 => 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) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_length__transpose__sorted,axiom,
% 119.46/119.22 ! [V_xs_2,T_b] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 119.46/119.22 => 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) )
% 119.46/119.22 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 119.46/119.22 => 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))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transpose__column__length,axiom,
% 119.46/119.22 ! [V_i_2,V_xs_2,T_b] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( 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)))
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transpose__transpose,axiom,
% 119.46/119.22 ! [V_xs_2,T_b] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 119.46/119.22 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted__takeWhile,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.22 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_length__takeWhile__le,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_set__takeWhileD,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__eq__all__conv,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 119.46/119.22 <=> ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_zip__takeWhile__snd,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_zip__takeWhile__fst,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__map,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__tail,axiom,
% 119.46/119.22 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 119.46/119.22 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 119.46/119.22 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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)) )
% 119.46/119.22 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__eq__take,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_distinct__takeWhile,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.22 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_return__list__def,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__append1,axiom,
% 119.46/119.22 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__nth,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_nth__length__takeWhile,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ~ 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))))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__not__last,axiom,
% 119.46/119.22 ! [T_b,V_xs_2] :
% 119.46/119.22 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 119.46/119.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 119.46/119.22 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( 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)))
% 119.46/119.22 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 119.46/119.22 ! [V_l] :
% 119.46/119.22 ( c_List_Onat__list(V_l)
% 119.46/119.22 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_embed__list__def,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__neq__rev,axiom,
% 119.46/119.22 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => 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))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__neq__rev,axiom,
% 119.46/119.22 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => 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))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__dropWhile__id,axiom,
% 119.46/119.22 ! [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 ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__map,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted__dropWhile,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.22 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_length__dropWhile__le,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 119.46/119.22 <=> ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 119.46/119.22 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 119.46/119.22 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) )
% 119.46/119.22 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_distinct__dropWhile,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 119.46/119.22 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_hd__dropWhile,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 119.46/119.22 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__append1,axiom,
% 119.46/119.22 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 119.46/119.22 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( 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)
% 119.46/119.22 <=> ( 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))
% 119.46/119.22 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__eq__drop,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__nth,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 => 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)))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_listsum__map__filter,axiom,
% 119.46/119.22 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 119.46/119.22 ( class_Groups_Omonoid__add(T_c)
% 119.46/119.22 => ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.22 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted__nth__monoI,axiom,
% 119.46/119.22 ! [V_xs,T_a] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_a)
% 119.46/119.22 => ( ! [B_i,B_j] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 119.46/119.22 => ( 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)))
% 119.46/119.22 => 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))) ) )
% 119.46/119.22 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__eq__filter,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b,V_na_2] :
% 119.46/119.22 ( ! [B_i] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 119.46/119.22 => ( 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)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 119.46/119.22 => ( ( 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)))
% 119.46/119.22 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 119.46/119.22 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_length__takeWhile__less__P__nth,axiom,
% 119.46/119.22 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 119.46/119.22 ( ! [B_i] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 119.46/119.22 => ( 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)))
% 119.46/119.22 => 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)))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted_Osimps,axiom,
% 119.46/119.22 ! [V_a_2,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 119.46/119.22 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 119.46/119.22 | ? [B_xs,B_x] :
% 119.46/119.22 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 119.46/119.22 & ! [B_xa] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 119.46/119.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 119.46/119.22 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_map__removeAll__inj__on,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_set__removeAll,axiom,
% 119.46/119.22 ! [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)))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_removeAll__append,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_removeAll__id,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_removeAll__filter__not,axiom,
% 119.46/119.22 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_removeAll__filter__not__eq,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_removeAll_Osimps_I2_J,axiom,
% 119.46/119.22 ! [V_xs,T_a,V_y,V_x] :
% 119.46/119.22 ( ( V_x = V_y
% 119.46/119.22 => 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) )
% 119.46/119.22 & ( V_x != V_y
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_removeAll_Osimps_I1_J,axiom,
% 119.46/119.22 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_distinct__removeAll,axiom,
% 119.46/119.22 ! [V_x,V_xs,T_a] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.22 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_distinct__remove1__removeAll,axiom,
% 119.46/119.22 ! [V_x,V_xs,T_a] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.22 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_map__removeAll__inj,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 119.46/119.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_not__in__set__insert,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_List_Oinsert__def,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 119.46/119.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_distinct__insert,axiom,
% 119.46/119.22 ! [V_x,V_xs,T_a] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 119.46/119.22 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_insert__remdups,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__set__insert,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_List_Oset__insert,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_insert__Nil,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_maps__def,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_concat__map__maps,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_maps__simps_I2_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_maps__simps_I1_J,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_distinct__concat,axiom,
% 119.46/119.22 ! [V_xs_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 119.46/119.22 => ( ! [B_ys] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 119.46/119.22 => ( ! [B_ys] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 119.46/119.22 => ! [B_zs] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 119.46/119.22 => ( B_ys != B_zs
% 119.46/119.22 => 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)) ) ) )
% 119.46/119.22 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_measures__lesseq,axiom,
% 119.46/119.22 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( hBOOL(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)))
% 119.46/119.22 => hBOOL(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)))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_wf__measures,axiom,
% 119.46/119.22 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__measures_I1_J,axiom,
% 119.46/119.22 ! [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))))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_measures__def,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_measures__less,axiom,
% 119.46/119.22 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => hBOOL(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)))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__measures_I2_J,axiom,
% 119.46/119.22 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(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))))
% 119.46/119.22 <=> ( 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)))
% 119.46/119.22 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 119.46/119.22 & hBOOL(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))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_foldl__apply,axiom,
% 119.46/119.22 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => 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)) )
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_order__fun_I2_J,axiom,
% 119.46/119.22 ! [V_g_2,V_f_2,T_b,T_c] :
% 119.46/119.22 ( ( class_Orderings_Oorder(T_c)
% 119.46/119.22 & class_Enum_Oenum(T_b) )
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.46/119.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.46/119.22 & 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)))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_enum__ex,axiom,
% 119.46/119.22 ! [V_P_2,T_b] :
% 119.46/119.22 ( class_Enum_Oenum(T_b)
% 119.46/119.22 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 119.46/119.22 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_exists__code,axiom,
% 119.46/119.22 ! [V_P_2,T_b] :
% 119.46/119.22 ( class_Enum_Oenum(T_b)
% 119.46/119.22 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.46/119.22 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_enum__ex__prod__def,axiom,
% 119.46/119.22 ! [V_P_2,T_b,T_c] :
% 119.46/119.22 ( ( class_Enum_Oenum(T_c)
% 119.46/119.22 & class_Enum_Oenum(T_b) )
% 119.46/119.22 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 119.46/119.22 <=> 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))))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_zip__obtain__same__length,axiom,
% 119.46/119.22 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 119.46/119.22 ( ( 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))
% 119.46/119.22 => 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)))) )
% 119.46/119.22 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_small__lazy__list_Osimps,axiom,
% 119.46/119.22 ! [V_d_2,T_b] :
% 119.46/119.22 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 119.46/119.22 => 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)))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_small__lazy__prod__def,axiom,
% 119.46/119.22 ! [V_d,T_b,T_a] :
% 119.46/119.22 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 119.46/119.22 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_New__DSequence_Opos__union__def,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_dropWhile__append2,axiom,
% 119.46/119.22 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_pos__union__def,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_small__lazy_H_Osimps,axiom,
% 119.46/119.22 ! [V_i,V_d] :
% 119.46/119.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 119.46/119.22 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 119.46/119.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 119.46/119.22 => 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)))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_small__lazy__int__def,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_small__lazy_H_Opsimps,axiom,
% 119.46/119.22 ! [V_i_2,V_d_2] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 119.46/119.22 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 119.46/119.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 119.46/119.22 => 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)))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all2__all__nthI,axiom,
% 119.46/119.22 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 119.46/119.22 ( 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)
% 119.46/119.22 => ( ! [B_n] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => 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))) )
% 119.46/119.22 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_small__lazy_H_Opinduct,axiom,
% 119.46/119.22 ! [V_P_2,V_a1_2,V_a0_2] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( ! [B_d,B_i] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 119.46/119.22 => 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)))) )
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_finite__sorted__distinct__unique,axiom,
% 119.46/119.22 ! [V_A_2,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.22 => ? [B_x] :
% 119.46/119.22 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 119.46/119.22 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 119.46/119.22 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 119.46/119.22 & ! [B_y] :
% 119.46/119.22 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 119.46/119.22 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 119.46/119.22 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 119.46/119.22 => B_y = B_x ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_takeWhile__append2,axiom,
% 119.46/119.22 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_insort__is__Cons,axiom,
% 119.46/119.22 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_c)
% 119.46/119.22 => ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Cons__eq__filter__iff,axiom,
% 119.46/119.22 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( 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)
% 119.46/119.22 <=> ? [B_us,B_vs] :
% 119.46/119.22 ( 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))
% 119.46/119.22 & ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 119.46/119.22 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 & hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_filter__eq__Cons__iff,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 119.46/119.22 ( 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)
% 119.46/119.22 <=> ? [B_us,B_vs] :
% 119.46/119.22 ( 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))
% 119.46/119.22 & ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 119.46/119.22 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 & hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_order__fun_I1_J,axiom,
% 119.46/119.22 ! [V_g_2,V_f_2,T_b,T_c] :
% 119.46/119.22 ( ( class_Orderings_Oorder(T_c)
% 119.46/119.22 & class_Enum_Oenum(T_b) )
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 119.46/119.22 <=> 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))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ball__nth,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b,V_na_2] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_enum__all,axiom,
% 119.46/119.22 ! [V_P_2,T_b] :
% 119.46/119.22 ( class_Enum_Oenum(T_b)
% 119.46/119.22 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 119.46/119.22 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_all__code,axiom,
% 119.46/119.22 ! [V_P_2,T_b] :
% 119.46/119.22 ( class_Enum_Oenum(T_b)
% 119.46/119.22 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 119.46/119.22 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_enum__all__prod__def,axiom,
% 119.46/119.22 ! [V_P_2,T_b,T_c] :
% 119.46/119.22 ( ( class_Enum_Oenum(T_c)
% 119.46/119.22 & class_Enum_Oenum(T_b) )
% 119.46/119.22 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 119.46/119.22 <=> 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))))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sorted_OCons,axiom,
% 119.46/119.22 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.22 ( class_Orderings_Olinorder(T_b)
% 119.46/119.22 => ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 119.46/119.22 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 119.46/119.22 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__length,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ? [B_n] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__simps_I2_J,axiom,
% 119.46/119.22 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__rev,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 119.46/119.22 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__iff,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__append,axiom,
% 119.46/119.22 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 119.46/119.22 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 119.46/119.22 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__simps_I1_J,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 119.46/119.22 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__set__conv__decomp__first,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 <=> ? [B_ys] :
% 119.46/119.22 ( ? [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))
% 119.46/119.22 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__set__conv__decomp__last,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 <=> ? [B_ys,B_zs] :
% 119.46/119.22 ( 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))
% 119.46/119.22 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__set__conv__decomp,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 <=> ? [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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__length,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ! [B_n] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__simps_I2_J,axiom,
% 119.46/119.22 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__rev,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 119.46/119.22 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__iff,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__append,axiom,
% 119.46/119.22 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 119.46/119.22 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 119.46/119.22 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Ball__set__list__all,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__simps_I1_J,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 119.46/119.22 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__iff__raw,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex1__simps_I2_J,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 119.46/119.22 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) )
% 119.46/119.22 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_length__splice,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_splice_Osimps_I3_J,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_splice__Nil2,axiom,
% 119.46/119.22 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex1__simps_I1_J,axiom,
% 119.46/119.22 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_splice_Osimps_I1_J,axiom,
% 119.46/119.22 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex1__iff,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.22 & ! [B_y] :
% 119.46/119.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_y)) )
% 119.46/119.22 => B_y = B_x ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_splice_Osimps_I2_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_acyclicP__converse,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 <=> 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_tl__replicate,axiom,
% 119.46/119.22 ! [V_x,T_a,V_n] :
% 119.46/119.22 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__set__replicate,axiom,
% 119.46/119.22 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 <=> ( V_x_2 = V_y_2
% 119.46/119.22 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_filter__replicate,axiom,
% 119.46/119.22 ! [V_na_2,T_b,V_x_2,V_P_2] :
% 119.46/119.22 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) )
% 119.46/119.22 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 119.46/119.22 => 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) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_concat__replicate__trivial,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__empty,axiom,
% 119.46/119.22 ! [V_x_2,V_na_2,T_b] :
% 119.46/119.22 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 119.46/119.22 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_empty__replicate,axiom,
% 119.46/119.22 ! [V_x_2,V_na_2,T_b] :
% 119.46/119.22 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 119.46/119.22 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__0,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_map__replicate__const,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_map__replicate,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_rev__replicate,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_last__replicate,axiom,
% 119.46/119.22 ! [V_x,T_a,V_n] :
% 119.46/119.22 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_take__replicate,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_hd__replicate,axiom,
% 119.46/119.22 ! [V_x,T_a,V_n] :
% 119.46/119.22 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_drop__replicate,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__length__filter,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_zip__replicate,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Ball__set__replicate,axiom,
% 119.46/119.22 ! [V_P_2,V_a_2,V_na_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 119.46/119.22 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Bex__set__replicate,axiom,
% 119.46/119.22 ! [V_P_2,V_a_2,V_na_2,T_b] :
% 119.46/119.22 ( ? [B_x] :
% 119.46/119.22 ( 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))))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 119.46/119.22 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_converse__join,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversepD,axiom,
% 119.46/119.22 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep_Ointros,axiom,
% 119.46/119.22 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep_Oequations,axiom,
% 119.46/119.22 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 119.46/119.22 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep__iff,axiom,
% 119.46/119.22 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 119.46/119.22 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep__conversep,axiom,
% 119.46/119.22 ! [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 ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep__eq,axiom,
% 119.46/119.22 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep__noteq,axiom,
% 119.46/119.22 ! [V_y_2,V_x_2,T_b] :
% 119.46/119.22 ( 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))
% 119.46/119.22 <=> V_x_2 != V_y_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__eq__replicate,axiom,
% 119.46/119.22 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 119.46/119.22 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 119.46/119.22 <=> ( V_m_2 = V_na_2
% 119.46/119.22 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => V_x_2 = V_y_2 ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_converse__pred__comp,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_converse__meet,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_length__replicate,axiom,
% 119.46/119.22 ! [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 ).
% 119.46/119.22
% 119.46/119.22 fof(fact_nth__replicate,axiom,
% 119.46/119.22 ! [V_x,T_a,V_n,V_i] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 119.46/119.22 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__add,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_append__replicate__commute,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__app__Cons__same,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__Suc,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_replicate__append__same,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_conversep__converse__eq,axiom,
% 119.46/119.22 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 119.46/119.22 ( 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))
% 119.46/119.22 <=> 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_map__replicate__trivial,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_set__replicate__conv__if,axiom,
% 119.46/119.22 ! [V_x_2,T_b,V_na_2] :
% 119.46/119.22 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => 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)) )
% 119.46/119.22 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => 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))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_set__replicate,axiom,
% 119.46/119.22 ! [V_x_2,T_b,V_na_2] :
% 119.46/119.22 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 119.46/119.22 => 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_set__replicate__Suc,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_eq__comp__r,axiom,
% 119.46/119.22 ! [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 ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact__01,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Oinject,axiom,
% 119.46/119.22 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 119.46/119.22 ( 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)
% 119.46/119.22 <=> ( V_a_2 = V_a_H_2
% 119.46/119.22 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_size__code,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence__size__code,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_seq__case,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_yieldn__def,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_refl__on__INTER,axiom,
% 119.46/119.22 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 119.46/119.22 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_in__set__member,axiom,
% 119.46/119.22 ! [V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_member__rec_I2_J,axiom,
% 119.46/119.22 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_member__set,axiom,
% 119.46/119.22 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_member__rec_I1_J,axiom,
% 119.46/119.22 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 119.46/119.22 ( 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))
% 119.46/119.22 <=> ( V_x_2 = V_y_2
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_List_Omember__def,axiom,
% 119.46/119.22 ! [V_x_2,V_xs_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 119.46/119.22 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex1__iff__raw,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.22 & ! [B_y] :
% 119.46/119.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_y)) )
% 119.46/119.22 => B_y = B_x ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_setsum__UNION__zero,axiom,
% 119.46/119.22 ! [V_f_2,V_S_2,T_b,T_c] :
% 119.46/119.22 ( class_Groups_Ocomm__monoid__add(T_c)
% 119.46/119.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 119.46/119.22 => ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 119.46/119.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 119.46/119.22 => ( ! [B_T1] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 119.46/119.22 => ! [B_T2] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 119.46/119.22 => ( B_T1 != B_T2
% 119.46/119.22 => ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 119.46/119.22 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 119.46/119.22 => 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) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_THE__default__def,axiom,
% 119.46/119.22 ! [V_d_2,T_b,V_P_2] :
% 119.46/119.22 ( ( ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.22 & ! [B_y] :
% 119.46/119.22 ( hBOOL(hAPP(V_P_2,B_y))
% 119.46/119.22 => B_y = B_x ) )
% 119.46/119.22 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 119.46/119.22 & ( ~ ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(V_P_2,B_x))
% 119.46/119.22 & ! [B_y] :
% 119.46/119.22 ( hBOOL(hAPP(V_P_2,B_y))
% 119.46/119.22 => B_y = B_x ) )
% 119.46/119.22 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_INF2__I,axiom,
% 119.46/119.22 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 119.46/119.22 ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_SUP2__E,axiom,
% 119.46/119.22 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => ~ ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.22 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_finite__maxlen,axiom,
% 119.46/119.22 ! [V_M_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 119.46/119.22 => ? [B_n] :
% 119.46/119.22 ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 119.46/119.22 ! [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 ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(fact__02,axiom,
% 119.46/119.22 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__all__iff__all__interval__int,axiom,
% 119.46/119.22 ! [V_j_2,V_i_2,V_P_2] :
% 119.46/119.22 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 119.46/119.22 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 119.46/119.22 ! [V_j_2,V_i_2,V_P_2] :
% 119.46/119.22 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 119.46/119.22 <=> ~ 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_all__interval__int__def,axiom,
% 119.46/119.22 ! [V_j_2,V_i_2,V_P_2] :
% 119.46/119.22 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 119.46/119.22 <=> ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 119.46/119.22 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Image__Collect__split,axiom,
% 119.46/119.22 ! [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)))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lexord__trans,axiom,
% 119.46/119.22 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 119.46/119.22 => ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__less__than,axiom,
% 119.46/119.22 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__lex__prod,axiom,
% 119.46/119.22 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_R1_2)
% 119.46/119.22 => ( c_Relation_Otrans(T_c,V_R2_2)
% 119.46/119.22 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Bex__set__list__ex,axiom,
% 119.46/119.22 ! [V_P_2,V_xs_2,T_b] :
% 119.46/119.22 ( ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_list__ex__iff__raw,axiom,
% 119.46/119.22 ! [V_xs_2,V_P_2,T_b] :
% 119.46/119.22 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 119.46/119.22 <=> ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_UN__eq,axiom,
% 119.46/119.22 ! [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))))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__inv__image,axiom,
% 119.46/119.22 ! [V_f_2,T_c,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__O__subset,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => 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)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_bex__UNIV,axiom,
% 119.46/119.22 ! [V_P_2,T_b] :
% 119.46/119.22 ( ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x)) )
% 119.46/119.22 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_finite__Collect__bex,axiom,
% 119.46/119.22 ! [V_Q_2,T_c,V_A_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 119.46/119.22 => ( 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)))))
% 119.46/119.22 <=> ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 119.46/119.22 => 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)))) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_listrel__trans,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_bex__empty,axiom,
% 119.46/119.22 ! [V_P_2,T_b] :
% 119.46/119.22 ~ ? [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 119.46/119.22 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__converse,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.46/119.22 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_lexord__transI,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__Id,axiom,
% 119.46/119.22 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__trancl,axiom,
% 119.46/119.22 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trancl__id,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__Id__on,axiom,
% 119.46/119.22 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__finite__psubset,axiom,
% 119.46/119.22 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__rtrancl,axiom,
% 119.46/119.22 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transD,axiom,
% 119.46/119.22 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => ( 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))
% 119.46/119.22 => ( 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))
% 119.46/119.22 => 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)) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__def,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 <=> ! [B_x,B_y] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => ! [B_z] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => 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)) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__Int,axiom,
% 119.46/119.22 ! [V_s_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => ( c_Relation_Otrans(T_b,V_s_2)
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_SUPR__bool__eq,axiom,
% 119.46/119.22 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__reflclI,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Union__eq,axiom,
% 119.46/119.22 ! [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)))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_INT__eq,axiom,
% 119.46/119.22 ! [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))))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Sup__apply,axiom,
% 119.46/119.22 ! [V_x_2,V_A_2,T_c,T_b] :
% 119.46/119.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.22 => 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)))))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Sup__fun__def,axiom,
% 119.46/119.22 ! [V_x_2,V_A_2,T_c,T_b] :
% 119.46/119.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.22 => 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)))))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Inf__apply,axiom,
% 119.46/119.22 ! [V_x_2,V_A_2,T_c,T_b] :
% 119.46/119.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.22 => 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)))))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_Inf__fun__def,axiom,
% 119.46/119.22 ! [V_x_2,V_A_2,T_c,T_b] :
% 119.46/119.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 119.46/119.22 => 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)))))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_max__extp_Ointros,axiom,
% 119.46/119.22 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 119.46/119.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 119.46/119.22 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.46/119.22 => ( ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 119.46/119.22 => ? [B_xa] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 119.46/119.22 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 119.46/119.22 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transp__def,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Predicate_Otransp(T_b,V_r_2)
% 119.46/119.22 <=> 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_transpE,axiom,
% 119.46/119.22 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Predicate_Otransp(T_b,V_r_2)
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equivp__reflp__symp__transp,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.46/119.22 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 119.46/119.22 & c_Predicate_Osymp(T_b,V_R_2)
% 119.46/119.22 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equivpI,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Predicate_Oreflp(T_b,V_R_2)
% 119.46/119.22 => ( c_Predicate_Osymp(T_b,V_R_2)
% 119.46/119.22 => ( c_Predicate_Otransp(T_b,V_R_2)
% 119.46/119.22 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sympE,axiom,
% 119.46/119.22 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Predicate_Osymp(T_b,V_r_2)
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equivpE,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.46/119.22 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 119.46/119.22 => ( c_Predicate_Osymp(T_b,V_R_2)
% 119.46/119.22 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_max__extp_Osimps,axiom,
% 119.46/119.22 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 119.46/119.22 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 119.46/119.22 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 119.46/119.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 119.46/119.22 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 119.46/119.22 & ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 119.46/119.22 => ? [B_xa] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 119.46/119.22 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_trans__diff__Id,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => ( c_Relation_Oantisym(T_b,V_r_2)
% 119.46/119.22 => 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))) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__subset,axiom,
% 119.46/119.22 ! [V_s_2,V_r_2,T_b] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => ( c_Relation_Oantisym(T_b,V_s_2)
% 119.46/119.22 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__Id__on,axiom,
% 119.46/119.22 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__Id,axiom,
% 119.46/119.22 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__converse,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.46/119.22 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__empty,axiom,
% 119.46/119.22 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisymD,axiom,
% 119.46/119.22 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Oantisym(T_b,V_r_2)
% 119.46/119.22 => ( 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))
% 119.46/119.22 => ( 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))
% 119.46/119.22 => V_a_2 = V_b_2 ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__def,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Oantisym(T_b,V_r_2)
% 119.46/119.22 <=> ! [B_x,B_y] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => ( 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))
% 119.46/119.22 => B_x = B_y ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_antisym__reflcl,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( 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)))
% 119.46/119.22 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_fun__lub__def,axiom,
% 119.46/119.22 ! [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)))))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__trans__comp__subset,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__inv__image,axiom,
% 119.46/119.22 ! [V_f_2,T_c,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__Int__converse,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_listrel__sym,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__converse,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 119.46/119.22 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__conv__converse__eq,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__Id,axiom,
% 119.46/119.22 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__Un,axiom,
% 119.46/119.22 ! [V_s_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => ( c_Relation_Osym(T_b,V_s_2)
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__trancl,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__Id__on,axiom,
% 119.46/119.22 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__rtrancl,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_symD,axiom,
% 119.46/119.22 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => ( 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))
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__def,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 <=> ! [B_x,B_y] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__Un__converse,axiom,
% 119.46/119.22 ! [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))) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_sym__Int,axiom,
% 119.46/119.22 ! [V_s_2,V_r_2,T_b] :
% 119.46/119.22 ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => ( c_Relation_Osym(T_b,V_s_2)
% 119.46/119.22 => 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)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equivE,axiom,
% 119.46/119.22 ! [V_r_2,V_A_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.46/119.22 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.46/119.22 => ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equivI,axiom,
% 119.46/119.22 ! [V_r_2,V_A_2,T_b] :
% 119.46/119.22 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.46/119.22 => ( c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 => ( c_Relation_Otrans(T_b,V_r_2)
% 119.46/119.22 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equiv__def,axiom,
% 119.46/119.22 ! [V_r_2,V_A_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 119.46/119.22 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 119.46/119.22 & c_Relation_Osym(T_b,V_r_2)
% 119.46/119.22 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_symp__def,axiom,
% 119.46/119.22 ! [V_r_2,T_b] :
% 119.46/119.22 ( c_Predicate_Osymp(T_b,V_r_2)
% 119.46/119.22 <=> 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))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivp__refl__symp__transp,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 119.46/119.22 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 119.46/119.22 & c_Predicate_Osymp(T_b,V_R_2)
% 119.46/119.22 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivpI,axiom,
% 119.46/119.22 ! [T_b,V_R_2] :
% 119.46/119.22 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 119.46/119.22 => ( c_Predicate_Osymp(T_b,V_R_2)
% 119.46/119.22 => ( c_Predicate_Otransp(T_b,V_R_2)
% 119.46/119.22 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_equivp__implies__part__equivp,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 119.46/119.22 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivp__def,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 119.46/119.22 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 119.46/119.22 & ! [B_x,B_y] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 119.46/119.22 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 119.46/119.22 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 119.46/119.22 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivp__symp,axiom,
% 119.46/119.22 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivp__transp,axiom,
% 119.46/119.22 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 119.46/119.22 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivpE,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 119.46/119.22 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 119.46/119.22 => ( c_Predicate_Osymp(T_b,V_R_2)
% 119.46/119.22 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_part__equivp__typedef,axiom,
% 119.46/119.22 ! [V_R_2,T_b] :
% 119.46/119.22 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 119.46/119.22 => ? [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))))) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_inv__o__cancel,axiom,
% 119.46/119.22 ! [V_f_2,T_c,T_b] :
% 119.46/119.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.46/119.22 => 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_inj__iff,axiom,
% 119.46/119.22 ! [V_f_2,T_c,T_b] :
% 119.46/119.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 119.46/119.22 <=> 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) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_image__inv__into__cancel,axiom,
% 119.46/119.22 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 119.46/119.22 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 119.46/119.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 119.46/119.22 => 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 ) ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_surj__iff__all,axiom,
% 119.46/119.22 ! [V_f_2,T_b,T_c] :
% 119.46/119.22 ( 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))
% 119.46/119.22 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_surj__f__inv__f,axiom,
% 119.46/119.22 ! [V_y_2,V_f_2,T_b,T_c] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_image__surj__f__inv__f,axiom,
% 119.46/119.22 ! [V_A_2,V_f_2,T_b,T_c] :
% 119.46/119.22 ( 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))
% 119.46/119.22 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(fact_f__inv__into__f,axiom,
% 119.46/119.22 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 119.46/119.22 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 119.46/119.22
% 119.46/119.22 %----Arity declarations (220)
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 119.46/119.22 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Obounded__lattice(T_1)
% 119.46/119.22 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 119.46/119.22 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Obounded__lattice(T_1)
% 119.46/119.22 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Obounded__lattice(T_1)
% 119.46/119.22 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Olattice(T_1)
% 119.46/119.22 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Olattice(T_1)
% 119.46/119.22 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Odistrib__lattice(T_1)
% 119.46/119.22 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Oboolean__algebra(T_1)
% 119.46/119.22 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Orderings_Opreorder,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Orderings_Opreorder(T_1)
% 119.46/119.22 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Finite__Set_Ofinite(T_2)
% 119.46/119.22 & class_Finite__Set_Ofinite(T_1) )
% 119.46/119.22 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Lattices_Olattice,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Lattices_Olattice(T_1)
% 119.46/119.22 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Orderings_Oorder,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Orderings_Oorder(T_1)
% 119.46/119.22 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Orderings_Otop,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Orderings_Otop(T_1)
% 119.46/119.22 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Orderings_Oord,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Orderings_Oord(T_1)
% 119.46/119.22 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Orderings_Obot,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Orderings_Obot(T_1)
% 119.46/119.22 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Groups_Ouminus,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Groups_Ouminus(T_1)
% 119.46/119.22 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Groups_Ominus,axiom,
% 119.46/119.22 ! [T_2,T_1] :
% 119.46/119.22 ( class_Groups_Ominus(T_1)
% 119.46/119.22 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_fun__Enum_Oenum,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Enum_Oenum(T_2)
% 119.46/119.22 & class_Enum_Oenum(T_1) )
% 119.46/119.22 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 119.46/119.22 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 119.46/119.22 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 119.46/119.22 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 119.46/119.22 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 119.46/119.22 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 119.46/119.22 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 119.46/119.22 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 119.46/119.22 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 119.46/119.22 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 119.46/119.22 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 119.46/119.22 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 119.46/119.22 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 119.46/119.22 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 119.46/119.22 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 119.46/119.22 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 119.46/119.22 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 119.46/119.22 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 119.46/119.22 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 119.46/119.22 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 119.46/119.22 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 119.46/119.22 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 119.46/119.22 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 119.46/119.22 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 119.46/119.22 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 119.46/119.22 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 119.46/119.22 class_Orderings_Opreorder(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 119.46/119.22 class_Orderings_Olinorder(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 119.46/119.22 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 119.46/119.22 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 119.46/119.22 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 119.46/119.22 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 119.46/119.22 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 119.46/119.22 class_Lattices_Olattice(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 119.46/119.22 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 119.46/119.22 class_Divides_Oring__div(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 119.46/119.22 class_Rings_Omult__zero(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 119.46/119.22 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 119.46/119.22 class_Orderings_Oorder(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 119.46/119.22 class_Int_Oring__char__0(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 119.46/119.22 class_Int_Onumber__ring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 119.46/119.22 class_Rings_Osemiring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 119.46/119.22 class_Orderings_Oord(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 119.46/119.22 class_Groups_Ouminus(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 119.46/119.22 class_Groups_Osgn__if(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 119.46/119.22 class_Groups_Oabs__if(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 119.46/119.22 class_Rings_Oring__1(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 119.46/119.22 class_Groups_Ominus(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Power_Opower,axiom,
% 119.46/119.22 class_Power_Opower(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 119.46/119.22 class_Groups_Ozero(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oring,axiom,
% 119.46/119.22 class_Rings_Oring(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 119.46/119.22 class_Rings_Oidom(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Int_Onumber,axiom,
% 119.46/119.22 class_Int_Onumber(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Groups_Oone,axiom,
% 119.46/119.22 class_Groups_Oone(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 119.46/119.22 class_Rings_Odvd(tc_Int_Oint) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 119.46/119.22 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 119.46/119.22 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 119.46/119.22 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 119.46/119.22 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 119.46/119.22 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 119.46/119.22 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 119.46/119.22 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 119.46/119.22 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 119.46/119.22 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 119.46/119.22 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 119.46/119.22 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 119.46/119.22 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 119.46/119.22 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 119.46/119.22 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 119.46/119.22 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 119.46/119.22 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 119.46/119.22 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 119.46/119.22 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 119.46/119.22 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 119.46/119.22 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 119.46/119.22 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 119.46/119.22 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 119.46/119.22 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 119.46/119.22 class_Lattices_Olattice(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 119.46/119.22 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 119.46/119.22 class_Orderings_Oorder(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 119.46/119.22 class_Rings_Osemiring(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 119.46/119.22 class_Orderings_Oord(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 119.46/119.22 class_Orderings_Obot(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 119.46/119.22 class_Groups_Ominus(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Power_Opower,axiom,
% 119.46/119.22 class_Power_Opower(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 119.46/119.22 class_Groups_Ozero(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 119.46/119.22 class_Int_Onumber(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 119.46/119.22 class_Groups_Oone(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 119.46/119.22 class_Rings_Odvd(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 119.46/119.22 class_Nat_Osize(tc_Nat_Onat) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 119.46/119.22 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 119.46/119.22 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 119.46/119.22 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 119.46/119.22 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 119.46/119.22 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 119.46/119.22 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 119.46/119.22 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 119.46/119.22 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 119.46/119.22 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 119.46/119.22 class_Lattices_Olattice(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 119.46/119.22 class_Orderings_Oorder(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 119.46/119.22 class_Orderings_Otop(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 119.46/119.22 class_Orderings_Oord(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 119.46/119.22 class_Orderings_Obot(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 119.46/119.22 class_Groups_Ouminus(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 119.46/119.22 class_Groups_Ominus(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 119.46/119.22 class_Enum_Oenum(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 119.46/119.22 class_Nat_Osize(tc_HOL_Obool) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 119.46/119.22 ! [T_1] :
% 119.46/119.22 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 119.46/119.22 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_List__Olist__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Finite__Set_Ofinite(T_2)
% 119.46/119.22 & class_Finite__Set_Ofinite(T_1) )
% 119.46/119.22 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_sum__Enum_Oenum,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Enum_Oenum(T_2)
% 119.46/119.22 & class_Enum_Oenum(T_1) )
% 119.46/119.22 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_sum__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 119.46/119.22 ! [T_1] :
% 119.46/119.22 ( class_Finite__Set_Ofinite(T_1)
% 119.46/119.22 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 119.46/119.22 ! [T_1] :
% 119.46/119.22 ( class_Enum_Oenum(T_1)
% 119.46/119.22 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 119.46/119.22 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 119.46/119.22 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Finite__Set_Ofinite(T_2)
% 119.46/119.22 & class_Finite__Set_Ofinite(T_1) )
% 119.46/119.22 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_prod__Enum_Oenum,axiom,
% 119.46/119.22 ! [T_1,T_2] :
% 119.46/119.22 ( ( class_Enum_Oenum(T_2)
% 119.46/119.22 & class_Enum_Oenum(T_1) )
% 119.46/119.22 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_prod__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 119.46/119.22 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 119.46/119.22 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 119.46/119.22 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 119.46/119.22 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 119.46/119.22 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 119.46/119.22 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 119.46/119.22 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 119.46/119.22 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 119.46/119.22 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 119.46/119.22 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 119.46/119.22 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 119.46/119.22 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 119.46/119.22 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 119.46/119.22 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 119.46/119.22 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 119.46/119.22 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 119.46/119.22 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 119.46/119.22 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 119.46/119.22 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 119.46/119.22 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 119.46/119.22 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 119.46/119.22 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 119.46/119.22 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 119.46/119.22 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 119.46/119.22 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 119.46/119.22 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 119.46/119.22 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 119.46/119.22 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 119.46/119.22 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 119.46/119.22 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 119.46/119.22 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 119.46/119.22 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 119.46/119.22 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 119.46/119.22 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 119.46/119.22 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 119.46/119.22 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 119.46/119.22 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 119.46/119.22
% 119.46/119.22 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 119.46/119.22 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 119.46/119.22
% 119.46/119.22 %----Helper facts (20)
% 119.46/119.22 fof(help_c__COMBI__1,axiom,
% 119.46/119.22 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__COMBK__1,axiom,
% 119.46/119.22 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__COMBB__1,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__COMBC__1,axiom,
% 119.46/119.22 ! [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) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__COMBS__1,axiom,
% 119.46/119.22 ! [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)) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fequal__1,axiom,
% 119.46/119.22 ! [V_y_2,V_x_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 119.46/119.22 | V_x_2 = V_y_2 ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fequal__2,axiom,
% 119.46/119.22 ! [V_y_2,V_x_2] :
% 119.46/119.22 ( V_x_2 != V_y_2
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fFalse__1,axiom,
% 119.46/119.22 ~ hBOOL(c_fFalse) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fTrue__1,axiom,
% 119.46/119.22 hBOOL(c_fTrue) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fNot__1,axiom,
% 119.46/119.22 ! [V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 119.46/119.22 | ~ hBOOL(V_P_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fNot__2,axiom,
% 119.46/119.22 ! [V_P_2] :
% 119.46/119.22 ( ~ ~ hBOOL(V_P_2)
% 119.46/119.22 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fconj__1,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(V_P_2)
% 119.46/119.22 | ~ hBOOL(V_Q_2)
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fconj__2,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 119.46/119.22 | hBOOL(V_P_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fconj__3,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 119.46/119.22 | hBOOL(V_Q_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fdisj__1,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(V_P_2)
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fdisj__2,axiom,
% 119.46/119.22 ! [V_P_2,V_Q_2] :
% 119.46/119.22 ( ~ hBOOL(V_Q_2)
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fdisj__3,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 119.46/119.22 | hBOOL(V_P_2)
% 119.46/119.22 | hBOOL(V_Q_2) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fimplies__1,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( hBOOL(V_P_2)
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fimplies__2,axiom,
% 119.46/119.22 ! [V_P_2,V_Q_2] :
% 119.46/119.22 ( ~ hBOOL(V_Q_2)
% 119.46/119.22 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 119.46/119.22
% 119.46/119.22 fof(help_c__fimplies__3,axiom,
% 119.46/119.22 ! [V_Q_2,V_P_2] :
% 119.46/119.22 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 119.46/119.22 | ~ hBOOL(V_P_2)
% 119.46/119.22 | hBOOL(V_Q_2) ) ).
% 119.46/119.22
% 119.46/119.22 %----Conjectures (2)
% 119.46/119.22 fof(conj_0,hypothesis,
% 119.46/119.22 ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
% 119.46/119.22 => c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),B_x) ) ).
% 119.46/119.22
% 119.46/119.22 fof(conj_1,conjecture,
% 119.46/119.22 ! [B_x] :
% 119.46/119.22 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
% 119.46/119.22 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ) ).
% 119.46/119.22
% 119.46/119.22 %------------------------------------------------------------------------------
% 119.46/119.22 %-------------------------------------------
% 119.46/119.22 % Proof found
% 119.46/119.22 % SZS status Theorem for theBenchmark
% 119.46/119.22 % SZS output start Proof
% 119.46/119.23 %ClaNum:10300(EqnAxiom:2946)
% 119.46/119.23 %VarNum:79560(SingletonVarNum:23426)
% 119.46/119.23 %MaxLitNum:8
% 119.46/119.23 %MaxfuncDepth:13
% 119.46/119.23 %SharedTerms:996
% 119.46/119.23 %goalClause: 3384 4480
% 119.46/119.23 %singleGoalClaCount:2
% 119.46/119.23 [2950]P1(a175)
% 119.46/119.23 [2951]P2(a883)
% 119.46/119.23 [2952]P2(a1)
% 119.46/119.23 [2953]P2(a90)
% 119.46/119.23 [2954]P3(a881)
% 119.46/119.23 [2955]P3(a883)
% 119.46/119.23 [2956]P3(a1)
% 119.46/119.23 [2957]P3(a90)
% 119.46/119.23 [2958]P113(a881)
% 119.46/119.23 [2959]P113(a883)
% 119.46/119.23 [2960]P113(a1)
% 119.46/119.23 [2961]P113(a90)
% 119.46/119.23 [2962]P4(a883)
% 119.46/119.23 [2963]P4(a1)
% 119.46/119.23 [2964]P4(a90)
% 119.46/119.23 [2965]P112(a881)
% 119.46/119.23 [2966]P112(a883)
% 119.46/119.23 [2967]P112(a1)
% 119.46/119.23 [2968]P112(a90)
% 119.46/119.23 [2969]P5(a881)
% 119.46/119.23 [2970]P114(a883)
% 119.46/119.23 [2971]P114(a1)
% 119.46/119.23 [2972]P114(a90)
% 119.46/119.23 [2973]P115(a1)
% 119.46/119.23 [2974]P63(a883)
% 119.46/119.23 [2975]P63(a1)
% 119.46/119.23 [2976]P63(a90)
% 119.46/119.23 [2977]P64(a883)
% 119.46/119.23 [2978]P64(a1)
% 119.46/119.23 [2979]P64(a90)
% 119.46/119.23 [2980]P75(a883)
% 119.46/119.23 [2981]P75(a1)
% 119.46/119.23 [2982]P75(a90)
% 119.46/119.23 [2983]P80(a883)
% 119.46/119.23 [2984]P80(a1)
% 119.46/119.23 [2985]P80(a90)
% 119.46/119.23 [2986]P96(a883)
% 119.46/119.23 [2987]P96(a1)
% 119.46/119.23 [2988]P96(a90)
% 119.46/119.23 [2989]P116(a883)
% 119.46/119.23 [2990]P116(a1)
% 119.46/119.23 [2991]P116(a90)
% 119.46/119.23 [2992]P131(a883)
% 119.46/119.23 [2993]P131(a1)
% 119.46/119.23 [2994]P131(a90)
% 119.46/119.23 [2995]P136(a1)
% 119.46/119.23 [2996]P137(a883)
% 119.46/119.23 [2997]P137(a1)
% 119.46/119.23 [2998]P137(a90)
% 119.46/119.23 [2999]P138(a1)
% 119.46/119.23 [3000]P129(a1)
% 119.46/119.23 [3001]P130(a1)
% 119.46/119.23 [3002]P139(a883)
% 119.46/119.23 [3003]P139(a1)
% 119.46/119.23 [3004]P139(a90)
% 119.46/119.23 [3005]P140(a1)
% 119.46/119.23 [3006]P142(a883)
% 119.46/119.23 [3007]P142(a1)
% 119.46/119.23 [3008]P142(a90)
% 119.46/119.23 [3009]P141(a883)
% 119.46/119.23 [3010]P141(a1)
% 119.46/119.23 [3011]P141(a90)
% 119.46/119.23 [3012]P132(a883)
% 119.46/119.23 [3013]P132(a1)
% 119.46/119.23 [3014]P132(a90)
% 119.46/119.23 [3015]P119(a883)
% 119.46/119.23 [3016]P119(a1)
% 119.46/119.23 [3017]P119(a90)
% 119.46/119.23 [3018]P148(a883)
% 119.46/119.23 [3019]P148(a1)
% 119.46/119.23 [3020]P148(a90)
% 119.46/119.23 [3021]P146(a883)
% 119.46/119.23 [3022]P146(a1)
% 119.46/119.23 [3023]P146(a90)
% 119.46/119.23 [3024]P133(a883)
% 119.46/119.23 [3025]P133(a1)
% 119.46/119.23 [3026]P133(a90)
% 119.46/119.23 [3027]P120(a883)
% 119.46/119.23 [3028]P120(a1)
% 119.46/119.23 [3029]P120(a90)
% 119.46/119.23 [3030]P97(a1)
% 119.46/119.23 [3031]P144(a1)
% 119.46/119.23 [3032]P86(a883)
% 119.46/119.23 [3033]P86(a1)
% 119.46/119.23 [3034]P86(a90)
% 119.46/119.23 [3035]P134(a1)
% 119.46/119.23 [3036]P98(a1)
% 119.46/119.23 [3037]P99(a883)
% 119.46/119.23 [3038]P99(a1)
% 119.46/119.23 [3039]P99(a90)
% 119.46/119.23 [3040]P121(a1)
% 119.46/119.23 [3041]P81(a1)
% 119.46/119.23 [3042]P65(a1)
% 119.46/119.23 [3043]P76(a883)
% 119.46/119.23 [3044]P76(a1)
% 119.46/119.23 [3045]P76(a90)
% 119.46/119.23 [3046]P77(a883)
% 119.46/119.23 [3047]P77(a1)
% 119.46/119.23 [3048]P77(a90)
% 119.46/119.23 [3049]P74(a883)
% 119.46/119.23 [3050]P74(a1)
% 119.46/119.23 [3051]P74(a90)
% 119.46/119.23 [3052]P145(a1)
% 119.46/119.23 [3053]P147(a883)
% 119.46/119.23 [3054]P147(a1)
% 119.46/119.23 [3055]P147(a90)
% 119.46/119.23 [3056]P87(a1)
% 119.46/119.23 [3057]P82(a1)
% 119.46/119.23 [3058]P124(a1)
% 119.46/119.23 [3059]P88(a883)
% 119.46/119.23 [3060]P88(a1)
% 119.46/119.23 [3061]P88(a90)
% 119.46/119.23 [3062]P89(a883)
% 119.46/119.23 [3063]P89(a1)
% 119.46/119.23 [3064]P89(a90)
% 119.46/119.23 [3065]P83(a883)
% 119.46/119.23 [3066]P83(a1)
% 119.46/119.23 [3067]P83(a90)
% 119.46/119.23 [3068]P79(a883)
% 119.46/119.23 [3069]P79(a1)
% 119.46/119.23 [3070]P79(a90)
% 119.46/119.23 [3071]P149(a883)
% 119.46/119.23 [3072]P149(a1)
% 119.46/119.23 [3073]P91(a883)
% 119.46/119.23 [3074]P91(a1)
% 119.46/119.23 [3075]P91(a90)
% 119.46/119.23 [3076]P123(a883)
% 119.46/119.23 [3077]P123(a1)
% 119.46/119.23 [3078]P123(a90)
% 119.46/119.23 [3079]P92(a1)
% 119.46/119.23 [3080]P93(a883)
% 119.46/119.23 [3081]P93(a1)
% 119.46/119.23 [3082]P93(a90)
% 119.46/119.23 [3083]P135(a1)
% 119.46/119.23 [3084]P100(a881)
% 119.46/119.23 [3085]P84(a881)
% 119.46/119.23 [3086]P84(a883)
% 119.46/119.23 [3087]P84(a1)
% 119.46/119.23 [3088]P84(a90)
% 119.46/119.23 [3089]P95(a881)
% 119.46/119.23 [3090]P95(a1)
% 119.46/119.23 [3091]P66(a883)
% 119.46/119.23 [3092]P66(a1)
% 119.46/119.23 [3093]P66(a90)
% 119.46/119.23 [3094]P67(a1)
% 119.46/119.23 [3095]P90(a1)
% 119.46/119.23 [3096]P143(a1)
% 119.46/119.23 [3097]P78(a1)
% 119.46/119.23 [3098]P125(a883)
% 119.46/119.23 [3099]P125(a1)
% 119.46/119.23 [3100]P125(a90)
% 119.46/119.23 [3101]P122(a1)
% 119.46/119.23 [3102]P102(a881)
% 119.46/119.23 [3103]P102(a883)
% 119.46/119.23 [3104]P102(a1)
% 119.46/119.23 [3105]P103(a881)
% 119.46/119.23 [3106]P103(a883)
% 119.46/119.23 [3107]P103(a1)
% 119.46/119.23 [3108]P68(a881)
% 119.46/119.23 [3109]P68(a886)
% 119.46/119.23 [3110]P110(a881)
% 119.46/119.23 [3111]P110(a883)
% 119.46/119.23 [3112]P104(a881)
% 119.46/119.23 [3113]P117(a883)
% 119.46/119.23 [3114]P108(a881)
% 119.46/119.23 [3115]P108(a883)
% 119.46/119.23 [3116]P108(a1)
% 119.46/119.23 [3117]P106(a881)
% 119.46/119.23 [3118]P106(a883)
% 119.46/119.23 [3119]P106(a1)
% 119.46/119.23 [3120]P107(a881)
% 119.46/119.23 [3121]P118(a881)
% 119.46/119.23 [3122]P85(a883)
% 119.46/119.23 [3123]P85(a1)
% 119.46/119.23 [3124]P85(a90)
% 119.46/119.23 [3125]P111(a881)
% 119.46/119.23 [3126]P111(a883)
% 119.46/119.23 [3127]P111(a90)
% 119.46/119.23 [3128]P111(a886)
% 119.46/119.23 [3129]P111(a309)
% 119.46/119.23 [3130]P94(a883)
% 119.46/119.23 [3131]P94(a1)
% 119.46/119.23 [3132]P94(a90)
% 119.46/119.23 [3133]P69(a881)
% 119.46/119.23 [3134]P69(a886)
% 119.46/119.23 [3135]P109(a1)
% 119.46/119.23 [3136]P109(a886)
% 119.46/119.23 [3137]P105(a881)
% 119.46/119.23 [3152]P36(a883,a228)
% 119.46/119.23 [3153]P36(a883,a303)
% 119.46/119.23 [3154]P37(a883,a228)
% 119.46/119.23 [3232]P39(a883,a883,a103)
% 119.46/119.23 [4463]~E(a88,a76)
% 119.46/119.23 [4464]~E(a88,a76)
% 119.46/119.23 [4465]~P1(a176)
% 119.46/119.23 [4480]~P26(a880,a893,a564)
% 119.46/119.23 [2947]E(f2(a1),a76)
% 119.46/119.23 [2948]E(f3(a90),a4)
% 119.46/119.23 [2949]E(f91(a90),a5)
% 119.46/119.23 [3138]E(f77(a176),f2(a883))
% 119.46/119.23 [3139]E(f77(a175),f2(a883))
% 119.46/119.23 [3140]E(f177(a883),f92(a883))
% 119.46/119.23 [3141]E(f178(a883),f2(a883))
% 119.46/119.23 [3142]E(f227(a883),f93(a883))
% 119.46/119.23 [3143]E(f94(a1),f25(a1))
% 119.46/119.23 [3144]P6(f2(a1))
% 119.46/119.23 [3145]P6(f71(a1))
% 119.46/119.23 [3199]P36(f889(a883,a883),a26)
% 119.46/119.23 [3538]E(f305(a883,a883,a228,a228),a26)
% 119.46/119.23 [4466]~E(f71(a1),f2(a1))
% 119.46/119.23 [3146]E(f6(f2(a90)),f2(a883))
% 119.46/119.23 [3147]E(f102(f2(a883)),f2(a883))
% 119.46/119.23 [3156]E(f313(f72(a1),a76),a76)
% 119.46/119.23 [3159]E(f313(a96,f2(a1)),f2(a883))
% 119.46/119.23 [3160]E(f313(a5,f2(a883)),f2(a90))
% 119.46/119.23 [3161]E(f313(a103,f2(a883)),f71(a883))
% 119.46/119.23 [3162]E(f313(a96,f71(a1)),f71(a883))
% 119.46/119.23 [3163]E(f313(a5,f71(a883)),f71(a90))
% 119.46/119.23 [3164]E(f313(f95(a883),a76),f2(a883))
% 119.46/119.23 [3165]E(f313(f95(a1),a76),f2(a1))
% 119.46/119.23 [3166]E(f313(f95(a90),a76),f2(a90))
% 119.46/119.23 [3167]E(f313(a96,f2(a1)),f2(a883))
% 119.46/119.23 [3168]E(f313(f95(a883),a76),f2(a883))
% 119.46/119.23 [3169]E(f313(f179(a881),a176),f2(a883))
% 119.46/119.23 [3170]E(f313(f179(a881),a175),f2(a883))
% 119.46/119.23 [3175]E(f313(f72(a1),f71(a1)),a88)
% 119.46/119.23 [3180]E(f313(f91(a1),f2(a883)),f2(a1))
% 119.46/119.23 [3181]E(f313(f91(a1),f71(a883)),f71(a1))
% 119.46/119.23 [3182]E(f313(f91(a1),f2(a883)),f2(a1))
% 119.46/119.23 [3183]E(f313(f91(a1),f71(a883)),f71(a1))
% 119.46/119.23 [3184]E(f313(f72(a1),f2(a1)),f2(a1))
% 119.46/119.23 [3185]E(f313(f179(a883),f2(a883)),f2(a883))
% 119.46/119.23 [3186]E(f313(f179(a90),f2(a90)),f2(a883))
% 119.46/119.23 [3196]E(f313(a96,f71(a1)),f313(a103,f2(a883)))
% 119.46/119.23 [3197]E(f304(f889(a883,a883),a26),a27)
% 119.46/119.23 [3198]E(f306(f889(a883,a883),a26),a62)
% 119.46/119.23 [3224]E(f313(f268(a883),f2(a883)),f178(f890(a883,a881)))
% 119.46/119.23 [3225]E(f313(f269(a883),f2(a883)),f230(f890(a883,a881)))
% 119.46/119.23 [3234]P40(f178(f890(a1,a881)))
% 119.46/119.23 [3268]E(f313(f313(f3(a90),f2(a90)),f71(a90)),f2(a90))
% 119.46/119.23 [3312]E(f313(f313(f142(a1,a883),a96),f104(a1)),f104(a883))
% 119.46/119.23 [3343]P1(f313(f313(f223(a1),a88),f2(a1)))
% 119.46/119.23 [3367]P1(f313(f313(f222(a1),f2(a1)),f2(a1)))
% 119.46/119.23 [3368]P1(f313(f313(f222(a1),f2(a1)),f71(a1)))
% 119.46/119.23 [3369]P1(f313(f313(f223(a1),f2(a1)),f71(a1)))
% 119.46/119.23 [3569]E(f313(f313(f275(a883,a883,a883),a303),f293(a883,a303)),a228)
% 119.46/119.23 [3605]P41(a1,a883,a96,f313(f222(a1),f2(a1)))
% 119.46/119.23 [3609]E(f313(f313(f32(a883,f890(a883,a881)),f230(f890(a883,a881))),f290(a883)),f178(f890(a883,a881)))
% 119.46/119.23 [3610]E(f313(f313(f33(a883,f890(a883,a881)),f230(f890(a883,a881))),f268(a883)),f230(f890(a883,a881)))
% 119.46/119.23 [3611]E(f313(f313(f33(a883,f890(a883,a881)),f230(f890(a883,a881))),f287(a883)),f230(f890(a883,a881)))
% 119.46/119.23 [3612]E(f313(f313(f33(a883,f890(a883,a881)),f230(f890(a883,a881))),f269(a883)),f230(f890(a883,a881)))
% 119.46/119.23 [3627]P24(a883,a1,f91(a1),f230(f890(a883,a881)))
% 119.46/119.23 [3640]P41(a883,a1,f91(a1),f313(f18(a881,a883),a175))
% 119.46/119.23 [3775]E(f313(f66(a883,a90,a1,a5),a96),f95(a90))
% 119.46/119.23 [3990]P59(a90,a883,a22,a5,f230(f890(a883,a881)))
% 119.46/119.23 [3994]P59(a1,f890(f889(a883,a883),a881),a98,a82,a89)
% 119.46/119.23 [4245]E(f246(a1,a1,a1,a1,f25(a1),f72(a1)),a44)
% 119.46/119.23 [4475]~E(f313(f95(a1),a88),f313(f95(a1),a76))
% 119.46/119.23 [4476]~P1(f313(a183,f2(a1)))
% 119.46/119.23 [4477]~P1(f313(a183,f71(a1)))
% 119.46/119.23 [4503]~P1(f313(f313(f223(a1),a76),f2(a1)))
% 119.46/119.23 [3216]E(f313(f313(f73(a1),a76),a88),a88)
% 119.46/119.23 [3217]E(f313(f313(f73(a1),a76),a76),a76)
% 119.46/119.23 [3218]E(f313(f313(f3(a1),a88),a88),a76)
% 119.46/119.23 [3231]E(f313(f91(a1),f313(a103,f2(a883))),f71(a1))
% 119.46/119.23 [3297]E(f313(f28(a886),f230(f890(a886,a881))),f71(a883))
% 119.46/119.23 [3317]P1(f313(a183,f313(f95(a1),a88)))
% 119.46/119.23 [3318]P1(f313(f313(f222(a1),a88),a88))
% 119.46/119.23 [3319]P1(f313(f313(f222(a1),a88),a76))
% 119.46/119.23 [3320]P1(f313(f313(f222(a1),a76),a76))
% 119.46/119.23 [3321]P1(f313(f313(f223(a1),a88),a76))
% 119.46/119.23 [3377]E(f313(f313(f295(a883),f2(a883)),f178(f890(a883,a881))),f313(f287(a883),f2(a883)))
% 119.46/119.23 [3431]P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),a76)))
% 119.46/119.23 [3443]E(f313(f296(a883,a883,a103),f230(f890(a883,a881))),f313(f290(a883),f2(a883)))
% 119.46/119.23 [3449]E(f313(f296(a1,a883,a96),f178(f890(a1,a881))),f178(f890(a883,a881)))
% 119.46/119.23 [3457]E(f313(f296(a883,a1,f91(a1)),f178(f890(a883,a881))),f178(f890(a1,a881)))
% 119.46/119.23 [3478]P8(f889(a883,a883),f230(f890(f889(a883,a883),a881)),a100)
% 119.46/119.23 [3782]E(f313(f66(a883,a1,a90,f91(a1)),a22),a24)
% 119.46/119.23 [3841]P36(a883,f313(f250(f889(a883,a883)),f313(f245(a883,a883,a881),f223(a883))))
% 119.46/119.23 [4494]~P1(f313(a183,f313(f95(a1),a76)))
% 119.46/119.23 [4495]~P1(f313(f313(f222(a1),a76),a88))
% 119.46/119.23 [4496]~P1(f313(f313(f223(a1),a88),a88))
% 119.46/119.23 [4497]~P1(f313(f313(f223(a1),a76),a88))
% 119.46/119.23 [4498]~P1(f313(f313(f223(a1),a76),a76))
% 119.46/119.23 [4507]~P1(f313(f54(a883),f230(f890(a883,a881))))
% 119.46/119.23 [4508]~P1(f313(f54(a1),f230(f890(a1,a881))))
% 119.46/119.23 [3384]P1(f313(f313(f315(f882(a880)),a564),a892))
% 119.46/119.23 [4410]E(f313(f245(a1,a1,a881),f313(f313(f10(f890(a1,a881),f890(a1,a881),a1),f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f223(a1),f2(a1))))),f313(f313(f9(a1,a1,f890(a1,a881)),f313(f313(f10(f890(a1,f890(a1,a881)),f890(a1,f890(a1,a881)),a1),f9(a1,a1,a881)),f313(f313(f10(f890(a1,a1),f890(a1,f890(a1,a881)),a1),f313(f10(a1,f890(a1,a881),a1),a310)),a207))),f71(a1)))),a203)
% 119.46/119.23 [3481]E(f313(f313(f3(a1),f313(f313(f73(a1),a88),a88)),a88),a88)
% 119.46/119.23 [3513]E(f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88),f313(f72(a1),a88))
% 119.46/119.23 [3551]E(f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88),f313(f313(f3(a1),a76),a88))
% 119.46/119.23 [3709]E(f313(f313(f53(f889(a883,a883)),f230(f890(f889(a883,a883),a881))),a100),a89)
% 119.46/119.23 [3737]E(f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f71(a883))
% 119.46/119.23 [3738]E(f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f71(a1))
% 119.46/119.23 [3739]E(f313(f95(a90),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f71(a90))
% 119.46/119.23 [3740]E(f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f71(a883))
% 119.46/119.23 [3743]E(f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(a103,f2(a883)))
% 119.46/119.23 [4115]E(f313(f313(f92(f890(f889(f889(a883,a883),f889(a883,a883)),a881)),a26),f293(f889(a883,a883),f178(f890(f889(f889(a883,a883),f889(a883,a883)),a881)))),a64)
% 119.46/119.23 [4181]E(f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),f2(a883)),f2(a883))),f178(f890(f889(a883,a883),a881))))),f2(a1))
% 119.46/119.23 [4182]E(f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),f71(a883)),f2(a883))),f178(f890(f889(a883,a883),a881))))),f71(a1))
% 119.46/119.23 [4195]E(f313(f250(f889(a883,a883)),f313(f245(a883,a883,a881),f313(f313(f10(a883,f890(a883,a881),a883),f313(f9(a883,a883,a881),a310)),a103))),a303)
% 119.46/119.23 [4166]E(f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),f313(a103,f313(a103,f2(a883))))
% 119.46/119.23 [4167]E(f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),f313(a103,f313(a103,f2(a883))))
% 119.46/119.23 [4170]E(f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),f313(f313(f73(a883),f71(a883)),f71(a883)))
% 119.46/119.23 [4171]E(f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),f313(f28(a881),f230(f890(a881,a881))))
% 119.46/119.23 [4232]P6(f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))
% 119.46/119.23 [4301]P25(f890(f889(a883,a883),a881),f313(f313(f240(f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881),f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881)),a27),a63))
% 119.46/119.23 [4302]P25(f890(f889(a883,a883),a881),f313(f313(f240(f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881),f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881)),a62),a65))
% 119.46/119.23 [4342]E(f313(f313(f92(f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881)),f306(f889(a883,a883),a64)),f313(f313(f295(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),f178(f890(f889(a883,a883),a881))),f178(f890(f889(a883,a883),a881)))),f178(f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881)))),a65)
% 119.46/119.23 [4343]E(f313(f313(f92(f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881)),f304(f889(a883,a883),a64)),f313(f313(f295(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),f178(f890(f889(a883,a883),a881))),f178(f890(f889(a883,a883),a881)))),f178(f890(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a881)))),a63)
% 119.46/119.23 [4234]E(f313(a96,f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(a103,f313(a103,f2(a883))))
% 119.46/119.23 [4278]E(f313(a96,f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))
% 119.46/119.23 [4279]E(f313(f91(a1),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))
% 119.46/119.23 [4312]P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.23 [4313]E(f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88)),f313(a103,f313(a103,f313(a103,f2(a883)))))
% 119.46/119.23 [4356]P6(f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88)))
% 119.46/119.23 [4381]E(f313(a96,f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88)))
% 119.46/119.23 [4382]E(f313(f91(a1),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88)))
% 119.46/119.23 [4395]P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))))
% 119.46/119.23 [3155]P7(x31551,a310)
% 119.46/119.23 [3539]P24(a883,a883,a103,x35391)
% 119.46/119.23 [3148]P111(f882(x31481))
% 119.46/119.23 [3149]P111(f884(x31491))
% 119.46/119.23 [3150]P111(f887(x31501))
% 119.46/119.23 [3151]P111(f885(x31511))
% 119.46/119.23 [3171]P36(a1,f97(x31711))
% 119.46/119.23 [3172]P36(a1,f99(x31721))
% 119.46/119.23 [3220]P36(f890(x32201,a881),f300(x32201))
% 119.46/119.23 [3221]P37(f890(x32211,a881),f300(x32211))
% 119.46/119.23 [3246]E(f231(x32461,x32461,a310),a310)
% 119.46/119.23 [3261]E(f38(a1,x32611,x32611),f2(a1))
% 119.46/119.23 [3314]P14(x33141,f890(x33141,a881),f295(x33141))
% 119.46/119.23 [4467]~E(f313(a103,x44671),x44671)
% 119.46/119.23 [4468]~E(f313(a103,x44681),x44681)
% 119.46/119.23 [4469]~E(f313(a103,x44691),f2(a883))
% 119.46/119.23 [4470]~E(f313(a103,x44701),f2(a883))
% 119.46/119.23 [4471]~E(f313(a103,x44711),f2(a883))
% 119.46/119.23 [4472]~E(f313(a103,x44721),f2(a883))
% 119.46/119.23 [4473]~E(f313(a103,x44731),f2(a883))
% 119.46/119.23 [4474]~E(f313(a103,x44741),f2(a883))
% 119.46/119.23 [3157]E(f313(f95(a1),x31571),x31571)
% 119.46/119.23 [3158]E(f313(f179(a883),x31581),x31581)
% 119.46/119.23 [3173]E(f313(a82,f314(x31731)),x31731)
% 119.46/119.23 [3174]E(f229(x31741,f2(a90)),f2(a90))
% 119.46/119.23 [3187]E(f105(x31871,f104(x31871)),f104(x31871))
% 119.46/119.23 [3188]E(f140(x31881,f104(x31881)),f104(x31881))
% 119.46/119.23 [3193]E(f313(f155(x31931),f104(x31931)),f104(x31931))
% 119.46/119.23 [3194]E(f313(f159(x31941),f104(x31941)),f104(x31941))
% 119.46/119.23 [3195]E(f313(f156(x31951),f104(x31951)),f104(x31951))
% 119.46/119.23 [3200]E(f313(f95(a1),x32001),f313(f94(a1),x32001))
% 119.46/119.23 [3201]E(f313(a5,f313(a22,x32011)),x32011)
% 119.46/119.23 [3202]E(f313(a5,f313(a22,x32021)),x32021)
% 119.46/119.23 [3203]E(f313(a22,f313(a5,x32031)),x32031)
% 119.46/119.23 [3204]E(f313(a82,f313(a98,x32041)),x32041)
% 119.46/119.23 [3205]P6(f313(f91(a1),x32051))
% 119.46/119.23 [3214]E(f313(f179(f884(x32141)),f110(x32141)),f2(a883))
% 119.46/119.23 [3215]E(f313(f179(f885(x32151)),f104(x32151)),f2(a883))
% 119.46/119.23 [3237]E(f313(f313(f74(a883),x32371),f71(a883)),x32371)
% 119.46/119.23 [3238]E(f313(f313(f74(a1),x32381),f71(a1)),x32381)
% 119.46/119.23 [3239]E(f313(f313(f73(a883),x32391),f2(a883)),x32391)
% 119.46/119.23 [3240]E(f313(f313(f73(a1),x32401),f2(a1)),x32401)
% 119.46/119.23 [3241]E(f313(f313(f3(a883),x32411),f2(a883)),x32411)
% 119.46/119.23 [3242]E(f313(f313(f177(a883),x32421),f2(a883)),x32421)
% 119.46/119.23 [3243]E(f313(f313(f74(a883),x32431),f2(a883)),f2(a883))
% 119.46/119.23 [3244]E(f313(f313(f29(a1),x32441),f2(a1)),f2(a1))
% 119.46/119.23 [3245]E(f313(f313(f227(a883),x32451),f2(a883)),f2(a883))
% 119.46/119.23 [3252]E(f313(f160(x32521),f104(x32521)),f178(f890(x32521,a881)))
% 119.46/119.23 [3256]P1(f313(f125(x32561),f104(x32561)))
% 119.46/119.23 [3262]E(f313(f142(x32621,x32621),f7(x32621)),f25(f885(x32621)))
% 119.46/119.23 [3263]E(f313(f142(x32631,x32631),f25(x32631)),f25(f885(x32631)))
% 119.46/119.23 [3264]E(f38(a1,x32641,f2(a1)),x32641)
% 119.46/119.23 [3265]E(f313(f222(a883),f313(a103,x32651)),f313(f223(a883),x32651))
% 119.46/119.23 [3266]E(f313(f268(a883),f313(a103,x32661)),f313(f287(a883),x32661))
% 119.46/119.23 [3267]E(f313(f269(a883),f313(a103,x32671)),f313(f290(a883),x32671))
% 119.46/119.23 [3269]E(f38(a1,f2(a1),x32691),f2(a1))
% 119.46/119.23 [3282]E(f313(f313(f73(a883),x32821),f71(a883)),f313(a103,x32821))
% 119.46/119.23 [3291]E(f313(f288(a883,x32911),f2(a883)),f178(f890(a883,a881)))
% 119.46/119.23 [3303]E(f289(a883,f2(a883),x33031),f313(f287(a883),x33031))
% 119.46/119.23 [3346]E(f313(f313(f3(a883),f313(a103,x33461)),f71(a883)),x33461)
% 119.46/119.23 [3358]E(f40(f2(a1),x33581),f313(f313(f240(a1,a1),f2(a1)),f2(a1)))
% 119.46/119.23 [3362]E(f313(f313(f73(a883),f313(a22,x33621)),f2(a883)),f313(a22,x33621))
% 119.46/119.23 [3406]P1(f313(f313(f223(a883),x34061),f313(a103,x34061)))
% 119.46/119.23 [3418]P1(f313(f313(f223(a883),f2(a883)),f313(a103,x34181)))
% 119.46/119.23 [3429]E(f313(f313(f171(f885(x34291),f885(x34291)),f2(a883)),f155(x34291)),f25(f885(x34291)))
% 119.46/119.23 [3696]E(f313(f313(f3(a90),f313(a5,f313(a103,f313(a22,x36961)))),f71(a90)),x36961)
% 119.46/119.23 [3766]P1(f313(f313(f222(a1),f313(f72(a1),f313(f91(a1),x37661))),f2(a1)))
% 119.46/119.23 [3908]P1(f313(f313(f223(a1),f313(f72(a1),f313(f91(a1),f313(a103,x39081)))),f2(a1)))
% 119.46/119.23 [4483]~E(f230(f890(x44831,a881)),f178(f890(x44831,a881)))
% 119.46/119.23 [4504]~P1(f313(f313(f223(a883),x45041),f2(a883)))
% 119.46/119.23 [4505]~P1(f313(f313(f223(a883),x45051),f2(a883)))
% 119.46/119.23 [4506]~P1(f313(f313(f223(a883),x45061),f2(a883)))
% 119.46/119.23 [4517]~P1(f313(f313(f223(a1),f313(f91(a1),x45171)),f2(a1)))
% 119.46/119.23 [3219]E(f167(x32191,f104(f885(x32191))),f104(f885(x32191)))
% 119.46/119.23 [3222]E(f313(f313(f74(a1),a76),x32221),a76)
% 119.46/119.23 [3223]E(f313(f313(f73(a1),a76),x32231),x32231)
% 119.46/119.23 [3226]E(f313(a96,f313(f91(a1),x32261)),x32261)
% 119.46/119.23 [3227]E(f313(f313(f73(a1),x32271),a76),x32271)
% 119.46/119.23 [3228]E(f313(f313(f3(a1),x32281),a76),x32281)
% 119.46/119.23 [3230]E(f313(f313(f3(a883),x32301),x32301),f2(a883))
% 119.46/119.23 [3235]E(f313(f72(a1),f313(f72(a1),x32351)),x32351)
% 119.46/119.23 [3236]E(f313(f28(a883),f313(f268(a883),x32361)),x32361)
% 119.46/119.23 [3247]E(f313(f313(f74(a883),f71(a883)),x32471),x32471)
% 119.46/119.23 [3248]E(f313(f313(f74(a1),f71(a1)),x32481),x32481)
% 119.46/119.23 [3249]E(f313(f313(f73(a883),f2(a883)),x32491),x32491)
% 119.46/119.23 [3250]E(f313(f313(f73(a1),f2(a1)),x32501),x32501)
% 119.46/119.23 [3251]E(f313(f313(f177(a883),f2(a883)),x32511),x32511)
% 119.46/119.23 [3257]E(f313(f313(f74(a883),f2(a883)),x32571),f2(a883))
% 119.46/119.23 [3258]E(f313(f313(f3(a883),f2(a883)),x32581),f2(a883))
% 119.46/119.23 [3259]E(f313(f313(f29(a1),f2(a1)),x32591),f2(a1))
% 119.46/119.23 [3260]E(f313(f313(f227(a883),f2(a883)),x32601),f2(a883))
% 119.46/119.23 [3270]E(f117(x32701,f313(f72(a1),x32701)),f120(a1,x32701))
% 119.46/119.23 [3275]E(f313(f288(a883,f2(a883)),x32751),f313(f268(a883),x32751))
% 119.46/119.23 [3276]E(f313(f313(f74(a1),a88),x32761),f313(f72(a1),x32761))
% 119.46/119.23 [3283]E(f313(a96,f313(f95(a1),x32831)),f313(f95(a883),x32831))
% 119.46/119.23 [3284]E(f313(a96,f313(f95(a1),x32841)),f313(f95(a883),x32841))
% 119.46/119.23 [3285]E(f313(a22,f313(f95(a90),x32851)),f313(f95(a883),x32851))
% 119.46/119.23 [3286]E(f313(f28(a883),f313(f287(a883),x32861)),f313(a103,x32861))
% 119.46/119.23 [3295]E(f313(f313(f73(a883),f71(a883)),x32951),f313(a103,x32951))
% 119.46/119.23 [3299]E(f313(f94(a1),f313(f91(a1),x32991)),f313(f91(a1),x32991))
% 119.46/119.23 [3300]E(f313(f69(a1),f313(f91(a1),x33001)),f313(f91(a1),x33001))
% 119.46/119.23 [3304]E(f313(f28(x33041),f178(f890(x33041,a881))),f2(a883))
% 119.46/119.23 [3306]E(f313(f313(f29(a883),x33061),f313(a103,f2(a883))),x33061)
% 119.46/119.23 [3315]E(f38(a883,x33151,f313(a103,f2(a883))),f2(a883))
% 119.46/119.23 [3316]E(f38(a1,x33161,f313(f95(a1),a88)),f2(a1))
% 119.46/119.23 [3323]E(f313(f313(f73(a1),a88),x33231),f313(f313(f73(a1),x33231),a88))
% 119.46/119.23 [3330]E(f313(f313(f29(a1),x33301),f313(f95(a1),a88)),f313(f72(a1),x33301))
% 119.46/119.23 [3334]E(f127(a883,f313(f288(a883,x33341),f2(a883))),f104(a883))
% 119.46/119.23 [3335]E(f313(f313(f3(a1),x33351),f71(a1)),f313(f313(f73(a1),x33351),a88))
% 119.46/119.23 [3336]E(f313(f313(f73(a1),x33361),f71(a1)),f313(f313(f3(a1),x33361),a88))
% 119.46/119.23 [3340]P1(f313(f313(f222(a883),x33401),x33401))
% 119.46/119.23 [3341]P1(f313(f313(f222(a1),x33411),x33411))
% 119.46/119.23 [3342]P1(f313(f313(f273(a883),x33421),x33421))
% 119.46/119.23 [3347]E(f313(f72(a1),f313(f95(a1),x33471)),f313(f95(a1),f313(f72(a1),x33471)))
% 119.46/119.23 [3348]P1(f313(f54(a883),f313(f268(a883),x33481)))
% 119.46/119.23 [3349]P1(f313(f54(a883),f313(f287(a883),x33491)))
% 119.46/119.23 [3356]E(f149(x33561,f230(f890(x33561,a881))),f230(f890(f885(x33561),a881)))
% 119.46/119.23 [3360]P1(f313(f313(f222(a883),f2(a883)),x33601))
% 119.46/119.23 [3361]P1(f313(f313(f222(a883),f2(a883)),x33611))
% 119.46/119.23 [3371]E(f313(f313(f73(a883),f102(x33711)),f313(a103,f2(a883))),f102(f313(a103,x33711)))
% 119.46/119.23 [3372]E(f313(f250(x33721),f313(f18(a881,x33721),a176)),f178(f890(x33721,a881)))
% 119.46/119.23 [3373]E(f313(f250(x33731),f313(f18(a881,x33731),a175)),f230(f890(x33731,a881)))
% 119.46/119.23 [3376]E(f313(f313(f295(a883),x33761),f313(f268(a883),x33761)),f313(f268(a883),f313(a103,x33761)))
% 119.46/119.23 [3389]E(f313(f313(f73(a1),f71(a1)),f313(f91(a1),x33891)),f313(f91(a1),f313(a103,x33891)))
% 119.46/119.23 [3391]E(f313(f313(f139(f885(x33911)),f104(x33911)),f104(f885(x33911))),f47(x33911,f104(x33911)))
% 119.46/119.23 [3409]E(f178(f890(f889(x34091,x34091),a881)),f251(x34091,f178(f890(x34091,a881))))
% 119.46/119.23 [3410]E(f313(f294(x34101),f230(f890(x34101,a881))),f230(f890(f890(x34101,a881),a881)))
% 119.46/119.23 [3411]E(f313(f72(f890(x34111,a881)),f178(f890(x34111,a881))),f230(f890(x34111,a881)))
% 119.46/119.23 [3412]E(f313(f72(f890(x34121,a881)),f230(f890(x34121,a881))),f178(f890(x34121,a881)))
% 119.46/119.23 [3413]P1(f313(f54(x34131),f178(f890(x34131,a881))))
% 119.46/119.23 [3414]P1(f313(f54(x34141),f178(f890(x34141,a881))))
% 119.46/119.23 [3416]E(f313(f288(a883,x34161),f313(a103,x34161)),f313(f313(f295(a883),x34161),f178(f890(a883,a881))))
% 119.46/119.23 [3417]E(f78(f889(a883,a883),f41(x34171,f2(a883))),f313(f313(f240(a883,a883),f2(a883)),x34171))
% 119.46/119.23 [3430]E(f313(f313(f295(a883),f313(a103,x34301)),f313(f287(a883),x34301)),f313(f287(a883),f313(a103,x34301)))
% 119.46/119.23 [3434]P36(x34341,f178(f890(f889(x34341,x34341),a881)))
% 119.46/119.23 [3435]P38(x34351,f178(f890(f889(x34351,x34351),a881)))
% 119.46/119.23 [3437]P1(f313(f313(f222(a1),f2(a1)),f313(f91(a1),x34371)))
% 119.46/119.23 [3438]P1(f313(f313(f222(a1),f2(a1)),f313(f91(a1),x34381)))
% 119.46/119.23 [3445]E(f313(f313(f73(a883),f313(f179(a883),x34451)),f313(a103,f2(a883))),f313(f179(a883),f313(a103,x34451)))
% 119.46/119.23 [3492]E(f313(f296(x34921,x34921,f25(x34921)),f230(f890(x34921,a881))),f230(f890(x34921,a881)))
% 119.46/119.23 [3546]P40(f313(f296(a883,a1,f91(a1)),x35461))
% 119.46/119.23 [3583]P55(x35831,f178(f890(x35831,a881)),f178(f890(f889(x35831,x35831),a881)))
% 119.46/119.23 [3601]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f3(a1),x36011),f71(a1))),f43(f313(f95(a1),a88),x36011))
% 119.46/119.23 [3602]P1(f313(f313(f315(a883),f313(a22,x36021)),f230(f890(a883,a881))))
% 119.46/119.23 [3652]P62(x36521,f313(f18(f890(x36521,a881),x36521),f313(f18(a881,x36521),a176)))
% 119.46/119.23 [3664]E(f276(a883,f273(a883),x36641,x36641),f313(f313(f295(a883),x36641),f178(f890(a883,a881))))
% 119.46/119.23 [3835]E(f313(f130(f885(x38351),f885(x38351),f122(x38351),f104(x38351)),f104(f885(x38351))),f104(x38351))
% 119.46/119.23 [3853]P1(f313(f313(f315(f890(f889(a883,a883),a881)),f314(x38531)),a89))
% 119.46/119.23 [3877]P1(f313(f313(f315(f890(f889(a883,a883),a881)),f313(a98,x38771)),a89))
% 119.46/119.23 [4002]P24(x40021,f890(x40021,a881),f313(f313(f9(x40021,f890(x40021,a881),f890(x40021,a881)),f295(x40021)),f178(f890(x40021,a881))),f230(f890(x40021,a881)))
% 119.46/119.23 [4478]~E(f313(f313(f73(a1),x44781),x44781),a88)
% 119.46/119.23 [4479]~E(f313(f313(f73(a1),x44791),x44791),a88)
% 119.46/119.23 [4492]~E(f313(a5,f313(a103,f313(a22,x44921))),f2(a90))
% 119.46/119.23 [4493]~E(f313(a5,f313(a103,f313(a22,x44931))),f2(a90))
% 119.46/119.23 [4499]~P1(f313(a183,f313(f91(a1),x44991)))
% 119.46/119.23 [4501]~P1(f313(f313(f223(a883),x45011),x45011))
% 119.46/119.23 [4502]~P1(f313(f313(f223(a883),x45021),x45021))
% 119.46/119.23 [4510]~P1(f313(f313(f222(a883),f313(a103,x45101)),x45101))
% 119.46/119.23 [3363]E(f313(a96,f313(f72(a1),f313(f91(a1),x33631))),f2(a883))
% 119.46/119.23 [3366]E(f313(f313(f73(a1),f313(f72(a1),x33661)),x33661),f2(a1))
% 119.46/119.23 [3370]E(f313(f28(a1),f313(f288(a1,f2(a1)),x33701)),f313(a96,x33701))
% 119.46/119.23 [3381]E(f313(f313(f232(a883),f313(a103,f2(a883))),x33811),f313(a103,f2(a883)))
% 119.46/119.23 [3475]E(f313(f267(x34751),f178(f890(f889(x34751,x34751),a881))),f178(f890(x34751,a881)))
% 119.46/119.23 [3477]P1(f313(f54(a1),f313(f288(a1,f2(a1)),x34771)))
% 119.46/119.23 [3483]E(f31(f890(x34831,a881),f178(f890(f890(x34831,a881),a881))),f230(f890(x34831,a881)))
% 119.46/119.23 [3484]E(f31(f890(x34841,a881),f230(f890(f890(x34841,a881),a881))),f178(f890(x34841,a881)))
% 119.46/119.23 [3485]E(f30(f890(x34851,a881),f178(f890(f890(x34851,a881),a881))),f178(f890(x34851,a881)))
% 119.46/119.23 [3486]E(f30(f890(x34861,a881),f230(f890(f890(x34861,a881),a881))),f230(f890(x34861,a881)))
% 119.46/119.23 [3490]P1(f313(f313(f273(a883),f313(a103,f2(a883))),x34901))
% 119.46/119.23 [3529]E(f313(f313(f295(f885(x35291)),f104(x35291)),f178(f890(f885(x35291),a881))),f149(x35291,f178(f890(x35291,a881))))
% 119.46/119.23 [3530]E(f313(f313(f295(f885(x35301)),f104(x35301)),f178(f890(f885(x35301),a881))),f150(x35301,f104(f890(x35301,a881))))
% 119.46/119.23 [3557]E(f313(f313(f73(a1),f313(f72(a1),x35571)),f313(f72(a1),x35571)),f313(f72(a1),f313(f313(f73(a1),x35571),x35571)))
% 119.46/119.23 [3568]E(f313(f313(f73(a883),f6(x35681)),f313(a103,f2(a883))),f6(f313(a5,f313(a103,f313(a22,x35681)))))
% 119.46/119.23 [3592]E(f313(f28(a1),f313(f296(a883,a1,f91(a1)),x35921)),f313(f28(a883),x35921))
% 119.46/119.23 [3593]P1(f313(f313(f222(a883),x35931),f313(f313(f74(a883),x35931),x35931)))
% 119.46/119.23 [3631]E(f313(f296(a1,a883,a96),f289(a1,f2(a1),f313(f91(a1),x36311))),f313(f287(a883),x36311))
% 119.46/119.23 [3647]E(f313(f313(f29(a883),f313(a103,f2(a883))),f313(f95(a883),x36471)),f313(a96,f313(f313(f29(a1),f71(a1)),f313(f95(a1),x36471))))
% 119.46/119.23 [3649]E(f313(f160(a883),f127(a883,f313(f288(a883,f2(a883)),f313(a103,x36491)))),f313(f287(a883),x36491))
% 119.46/119.23 [3650]E(f313(f313(f73(a883),f313(f179(a90),x36501)),f313(a103,f2(a883))),f313(f179(a90),f313(a5,f313(a103,f313(a22,x36501)))))
% 119.46/119.23 [3669]P37(x36691,f293(x36691,f178(f890(f889(x36691,x36691),a881))))
% 119.46/119.23 [3670]P38(x36701,f293(x36701,f178(f890(f889(x36701,x36701),a881))))
% 119.46/119.23 [3671]P54(x36711,f293(x36711,f178(f890(f889(x36711,x36711),a881))))
% 119.46/119.23 [3672]E(f313(f296(a1,a883,a96),f313(f296(a883,a1,f91(a1)),x36721)),x36721)
% 119.46/119.23 [3702]E(f313(f313(f295(a883),f2(a883)),f313(f296(a883,a883,a103),f313(f268(a883),x37021))),f313(f268(a883),f313(a103,x37021)))
% 119.46/119.23 [3708]P57(x37081,x37081,f293(x37081,f178(f890(f889(x37081,x37081),a881))))
% 119.46/119.23 [3714]P1(f313(a183,f313(f72(a1),f313(f91(a1),f313(a103,x37141)))))
% 119.46/119.23 [3724]E(f313(f313(f3(f890(a883,a881)),f313(f269(a883),x37241)),f313(f313(f295(a883),x37241),f178(f890(a883,a881)))),f313(f269(a883),f313(a103,x37241)))
% 119.46/119.23 [3741]E(f313(f313(f73(a1),f313(f313(f3(a1),a76),x37411)),f313(f313(f3(a1),a76),x37411)),f313(f313(f3(a1),a76),f313(f313(f73(a1),x37411),x37411)))
% 119.46/119.23 [3744]P55(x37441,f230(f890(x37441,a881)),f293(x37441,f178(f890(f889(x37441,x37441),a881))))
% 119.46/119.23 [3755]E(f313(f313(f295(f890(x37551,a881)),f178(f890(x37551,a881))),f178(f890(f890(x37551,a881),a881))),f313(f294(x37551),f178(f890(x37551,a881))))
% 119.46/119.23 [3783]E(f313(f313(f3(f890(a883,a881)),f313(f290(a883),x37831)),f313(f313(f295(a883),f313(a103,x37831)),f178(f890(a883,a881)))),f313(f290(a883),f313(a103,x37831)))
% 119.46/119.23 [3889]E(f313(f95(a883),f313(f313(f73(a1),x38891),x38891)),f313(f313(f79(a883,a883),f313(f95(a883),x38891)),f313(f313(f20(a883,a883,a883),f73(a883)),f7(a883))))
% 119.46/119.23 [4254]P14(x42541,f890(x42541,a881),f313(f313(f10(f890(x42541,a881),f890(f890(x42541,a881),f890(x42541,a881)),x42541),f313(f9(f890(x42541,a881),f890(x42541,a881),f890(x42541,a881)),f3(f890(x42541,a881)))),f313(f313(f9(x42541,f890(x42541,a881),f890(x42541,a881)),f295(x42541)),f178(f890(x42541,a881)))))
% 119.46/119.23 [4341]E(f313(f250(f889(a1,a1)),f313(f245(a1,a1,a881),f313(f313(f10(f890(a1,a881),f890(a1,a881),a1),f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),x43411)))),f223(a1)))),f99(x43411))
% 119.46/119.23 [4373]E(f313(f250(f889(a1,a1)),f313(f245(a1,a1,a881),f313(f313(f20(a1,f890(a1,a881),f890(a1,a881)),f313(f313(f10(f890(a881,a881),f890(f890(a1,a881),f890(a1,a881)),a1),f10(a881,a881,a1)),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),x43731)))),f223(a1)))),f97(x43731))
% 119.46/119.23 [4426]E(f313(f250(f889(f890(x44261,a881),f890(x44261,a881))),f313(f245(f890(x44261,a881),f890(x44261,a881),a881),f313(f313(f9(f890(x44261,a881),f890(f890(x44261,a881),a881),f890(f890(x44261,a881),a881)),f313(f313(f10(f890(f890(x44261,a881),f890(a881,a881)),f890(f890(f890(x44261,a881),a881),f890(f890(x44261,a881),a881)),f890(x44261,a881)),f20(f890(x44261,a881),a881,a881)),f313(f313(f10(f890(f890(x44261,a881),a881),f890(f890(x44261,a881),f890(a881,a881)),f890(x44261,a881)),f313(f10(a881,f890(a881,a881),f890(x44261,a881)),a311)),f223(f890(x44261,a881))))),f54(x44261)))),f300(x44261))
% 119.46/119.23 [4514]~P1(f313(f54(f885(x45141)),f230(f890(f885(x45141),a881))))
% 119.46/119.23 [4526]~P1(f313(f313(f222(a1),f2(a1)),f313(f72(a1),f313(f91(a1),f313(a103,x45261)))))
% 119.46/119.23 [3508]E(f313(f313(f3(a1),f313(f313(f73(a1),x35081),a88)),a88),x35081)
% 119.46/119.23 [3522]E(f313(f160(a883),f127(a883,f313(f288(a883,f2(a883)),x35221))),f313(f268(a883),x35221))
% 119.46/119.23 [3715]E(f313(f270(x37151,x37151),f293(x37151,f178(f890(f889(x37151,x37151),a881)))),f230(f890(x37151,a881)))
% 119.46/119.23 [3716]E(f313(f252(x37161,x37161),f293(x37161,f178(f890(f889(x37161,x37161),a881)))),f230(f890(x37161,a881)))
% 119.46/119.23 [3762]E(f313(f313(f73(a1),f313(f313(f73(a1),f71(a1)),x37621)),x37621),f313(f313(f3(a1),f313(f313(f73(a1),x37621),x37621)),a88))
% 119.46/119.23 [3810]E(f313(f272(x38101,x38101),f293(x38101,f178(f890(f889(x38101,x38101),a881)))),f293(x38101,f178(f890(f889(x38101,x38101),a881))))
% 119.46/119.23 [3856]P1(f313(f313(f222(a883),x38561),f313(f313(f74(a883),x38561),f313(f313(f74(a883),x38561),x38561))))
% 119.46/119.23 [3942]E(f313(f313(f275(x39421,x39421,x39421),f178(f890(f889(x39421,x39421),a881))),f293(x39421,f178(f890(f889(x39421,x39421),a881)))),f178(f890(f889(x39421,x39421),a881)))
% 119.46/119.23 [4119]P1(f313(f54(a883),f313(f250(a883),f313(f313(f9(a883,a883,a881),f222(a883)),x41191))))
% 119.46/119.23 [4120]P1(f313(f54(a883),f313(f250(a883),f313(f313(f9(a883,a883,a881),f223(a883)),x41201))))
% 119.46/119.23 [4389]E(f313(f250(f889(x43891,x43891)),f313(f313(f10(f890(x43891,a881),a881,f889(x43891,x43891)),f80(x43891)),f313(f313(f9(f889(x43891,x43891),f890(x43891,f889(x43891,x43891)),f890(x43891,a881)),f313(f313(f10(f890(f889(x43891,x43891),a881),f890(f890(x43891,f889(x43891,x43891)),f890(x43891,a881)),f889(x43891,x43891)),f10(f889(x43891,x43891),a881,x43891)),a310)),f313(f313(f20(x43891,x43891,f889(x43891,x43891)),f240(x43891,x43891)),f7(x43891))))),f293(x43891,f178(f890(f889(x43891,x43891),a881))))
% 119.46/119.23 [4515]~E(f313(f313(f3(a1),f313(f313(f73(a1),x45151),x45151)),a88),a76)
% 119.46/119.23 [4516]~E(f313(f313(f3(a1),f313(f313(f73(a1),x45161),x45161)),a88),a76)
% 119.46/119.23 [4518]~E(f313(f313(f73(a1),f313(f313(f73(a1),f71(a1)),x45181)),x45181),f2(a1))
% 119.46/119.23 [3899]E(f313(f313(f73(a1),f313(f313(f3(a1),a88),x38991)),f313(f313(f3(a1),a88),x38991)),f313(f313(f3(a1),a88),f313(f313(f3(a1),f313(f313(f73(a1),x38991),x38991)),a88)))
% 119.46/119.23 [4010]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),a88),x40101)),f313(f313(f3(a1),a88),x40101))),a88),f313(f313(f3(a1),a88),f313(f313(f73(a1),x40101),x40101)))
% 119.46/119.23 [4042]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f73(a1),x40421),a88)),f313(f313(f73(a1),x40421),a88))),a88),f313(f313(f73(a1),f313(f313(f73(a1),x40421),x40421)),a88))
% 119.46/119.23 [4080]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),a88),x40801)),f313(f313(f3(a1),a88),x40801))),a88),f313(f313(f3(a1),a76),f313(f313(f3(a1),f313(f313(f73(a1),x40801),x40801)),a88)))
% 119.46/119.23 [4177]E(f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x41771),f2(a883))),f178(f890(f889(a883,a883),a881))))),f313(f91(a1),x41771))
% 119.46/119.23 [4187]E(f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),f318(x41871)),f449(x41871))),f178(f890(f889(a883,a883),a881))))),x41871)
% 119.46/119.23 [4218]E(f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x42181)),f313(f296(a883,a1,f91(a1)),f313(f250(a883),f313(f313(f10(a1,a881,a883),x42181),f91(a1)))))
% 119.46/119.23 [4262]P40(f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x42621)))
% 119.46/119.23 [4282]P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x42821),f178(f890(f889(a883,a883),a881)))),a65))
% 119.46/119.23 [4287]E(f313(f296(a1,a883,a96),f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),f313(f313(f10(a883,a881,a1),x42871),a96)))),f313(f250(a883),x42871))
% 119.46/119.23 [4441]E(f298(a883,f313(f313(f33(f889(a883,a883),f890(a883,a881)),f313(a98,x44411)),f313(f245(a883,a883,f890(a883,a881)),f313(f313(f9(a883,f890(a883,a881),f890(a883,f890(a883,a881))),f313(f313(f10(f890(a883,f890(f890(a883,a881),f890(a883,a881))),f890(f890(a883,a881),f890(a883,f890(a883,a881))),a883),f9(a883,f890(a883,a881),f890(a883,a881))),f313(f313(f10(f890(a883,a883),f890(a883,f890(f890(a883,a881),f890(a883,a881))),a883),f313(f10(a883,f890(f890(a883,a881),f890(a883,a881)),a883),f295(a883))),f3(a883)))),f178(f890(a883,a881)))))),f313(a96,x44411))
% 119.46/119.23 [3943]E(f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),x39431),x39431)),a88)),a88),f313(f313(f73(a1),x39431),x39431))
% 119.46/119.23 [3991]E(f313(f313(f3(a1),f313(f313(f3(a1),f313(f313(f73(a1),x39911),x39911)),a88)),a88),f313(f313(f73(a1),f313(f313(f3(a1),x39911),a88)),f313(f313(f3(a1),x39911),a88)))
% 119.46/119.23 [4193]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f73(a1),f313(f72(a1),x41931)),a88)),f313(f313(f73(a1),f313(f72(a1),x41931)),a88))),a88),f313(f72(a1),f313(f313(f3(a1),f313(f313(f73(a1),x41931),x41931)),a88)))
% 119.46/119.23 [4235]E(f313(f313(f73(a883),x42351),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(a103,f313(a103,x42351)))
% 119.46/119.23 [4236]E(f313(f313(f74(a883),x42361),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f73(a883),x42361),x42361))
% 119.46/119.23 [4237]E(f313(f313(f29(a883),f313(f313(f73(a883),x42371),x42371)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x42371)
% 119.46/119.23 [4315]E(f38(a883,f313(a103,f313(a103,x43151)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f38(a883,x43151,f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.23 [4455]E(f313(a82,f313(f313(f33(f889(a883,a883),f890(f889(a883,a883),a881)),f313(a98,x44551)),f313(f245(a883,a883,f890(f889(a883,a883),a881)),f313(f313(f10(f890(a883,f890(f889(a883,a883),a881)),f890(a883,f890(f889(a883,a883),a881)),a883),f313(f10(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881),a883),f271(f889(a883,a883),f889(a883,a883),a100))),f313(f313(f9(a883,f890(f889(a883,a883),a881),f890(a883,f890(f889(a883,a883),a881))),f313(f313(f10(f890(a883,f890(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f890(f890(f889(a883,a883),a881),f890(a883,f890(f889(a883,a883),a881))),a883),f9(a883,f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f10(f890(a883,f889(a883,a883)),f890(a883,f890(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),a883),f313(f10(f889(a883,a883),f890(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),a883),f295(f889(a883,a883)))),f313(f9(a883,a883,f889(a883,a883)),f240(a883,a883))))),f178(f890(f889(a883,a883),a881))))))),f313(f72(a1),x44551))
% 119.46/119.23 [4310]E(f313(f313(f73(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x43101),f313(a103,f313(a103,x43101)))
% 119.46/119.23 [4311]E(f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x43111),f313(f313(f73(a883),x43111),x43111))
% 119.46/119.23 [4346]E(f313(f313(f29(a883),f313(a103,f313(a103,x43461))),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(a103,f313(f313(f29(a883),x43461),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.23 [4396]E(f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x43961),f313(a103,f313(a103,f313(a103,x43961))))
% 119.46/119.23 [4462]E(f313(f245(a1,a1,f889(a1,a1)),f313(f313(f20(a1,f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),f313(f313(f10(f890(a1,f890(f889(a1,a1),f889(a1,a1))),f890(f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),a1),f20(a1,f889(a1,a1),f889(a1,a1))),f313(f313(f10(f890(a1,f889(a1,a1)),f890(a1,f890(f889(a1,a1),f889(a1,a1))),a1),f313(f20(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f313(f313(f10(a881,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f84(f889(a1,a1))),f313(f313(f10(a1,a881,a1),f313(f222(a1),f2(a1))),f313(f313(f9(a1,a1,a1),f3(a1)),x44621))))),f313(f313(f9(a1,f890(a1,a1),f890(a1,f889(a1,a1))),f313(f313(f10(f890(a1,f889(a1,a1)),f890(f890(a1,a1),f890(a1,f889(a1,a1))),a1),f10(a1,f889(a1,a1),a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f313(f313(f9(a1,a1,a1),f313(f313(f10(a1,f890(a1,a1),a1),f73(a1)),f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f71(a1))))),f313(f313(f9(a1,a1,a1),f3(a1)),x44621))))),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))),f36(x44621))
% 119.46/119.23 [3190]P111(f889(x31901,x31902))
% 119.46/119.23 [3191]P111(f888(x31911,x31912))
% 119.46/119.23 [3192]P111(f891(x31921,x31922))
% 119.46/119.23 [3208]P13(a1,f166(x32081,x32082))
% 119.46/119.23 [3209]P36(x32091,f141(x32091,x32092))
% 119.46/119.23 [3210]P37(x32101,f251(x32101,x32102))
% 119.46/119.23 [3211]P37(x32111,f293(x32111,x32112))
% 119.46/119.23 [3212]P38(x32121,f251(x32121,x32122))
% 119.46/119.23 [3213]P54(x32131,f251(x32131,x32132))
% 119.46/119.23 [3277]P30(x32771,x32772,f104(x32771))
% 119.46/119.23 [3310]P55(x33101,x33102,f251(x33101,x33102))
% 119.46/119.23 [3311]P57(x33111,x33111,f251(x33111,x33112))
% 119.46/119.23 [3571]P24(x35711,x35711,f7(x35711),x35712)
% 119.46/119.23 [3572]P24(x35721,x35721,f25(x35721),x35722)
% 119.46/119.23 [3578]P31(x35781,x35782,f104(x35781),f104(x35781))
% 119.46/119.23 [3579]P31(x35791,x35792,f104(x35791),f104(x35791))
% 119.46/119.23 [3586]P24(f885(x35861),f885(x35861),f156(x35861),x35862)
% 119.46/119.23 [4488]~P32(x44881,x44882,f104(x44881))
% 119.46/119.23 [4489]~P34(x44891,x44892,f104(x44891))
% 119.46/119.23 [3176]E(f313(f7(x31761),x31762),x31762)
% 119.46/119.23 [3177]E(f313(f250(x31771),x31772),x31772)
% 119.46/119.23 [3178]E(f313(f25(x31781),x31782),x31782)
% 119.46/119.23 [3179]E(f313(f25(x31791),x31792),x31792)
% 119.46/119.23 [3189]E(f313(f181(x31891),x31892),f106(x31891))
% 119.46/119.23 [3206]E(f78(x32061,f313(a310,x32062)),x32062)
% 119.46/119.23 [3207]E(f83(x32071,f313(a310,x32072)),x32072)
% 119.46/119.23 [3229]E(f313(f115(x32291,x32292),f110(x32291)),f2(a883))
% 119.46/119.23 [3233]E(f313(f124(x32331,x32332),f104(x32331)),f104(x32331))
% 119.46/119.23 [3253]E(f293(x32531,f293(x32531,x32532)),f293(x32531,x32532))
% 119.46/119.23 [3254]E(f140(x32541,f140(x32541,x32542)),f140(x32541,x32542))
% 119.46/119.23 [3272]E(f313(f313(f122(x32721),x32722),f104(x32721)),x32722)
% 119.46/119.23 [3278]E(f161(x32781,x32782,f104(x32781)),x32782)
% 119.46/119.23 [3279]E(f107(x32791,f110(x32791),x32792),x32792)
% 119.46/119.23 [3280]E(f161(x32801,f104(x32801),x32802),x32802)
% 119.46/119.23 [3281]E(f157(x32811,f2(a883),x32812),f104(x32811))
% 119.46/119.23 [3287]E(f313(f313(f163(x32871),x32872),f104(x32871)),f104(x32871))
% 119.46/119.23 [3288]E(f313(f313(f126(x32881),x32882),f104(x32881)),f104(x32881))
% 119.46/119.23 [3290]E(f143(x32901,x32902,f104(x32901)),f2(a883))
% 119.46/119.23 [3292]E(f158(x32921,x32922,f104(x32921)),f104(x32921))
% 119.46/119.23 [3293]E(f165(x32931,x32932,f104(x32931)),f104(x32931))
% 119.46/119.23 [3294]E(f164(x32941,f104(x32941),x32942),f104(x32941))
% 119.46/119.23 [3298]E(f313(f160(x32981),f140(x32981,x32982)),f313(f160(x32981),x32982))
% 119.46/119.23 [3301]E(f313(f270(x33011,x33011),f251(x33011,x33012)),x33012)
% 119.46/119.23 [3302]E(f313(f252(x33021,x33021),f251(x33021,x33022)),x33022)
% 119.46/119.23 [3309]E(f313(f272(x33091,x33091),f251(x33091,x33092)),f251(x33091,x33092))
% 119.46/119.23 [3322]E(f293(f885(x33221),f145(x33221,x33222)),f146(x33221,f293(x33221,x33222)))
% 119.46/119.23 [3324]P1(f313(f125(a1),f166(x33241,x33242)))
% 119.46/119.23 [3332]E(f313(f270(x33321,x33321),f293(x33321,x33322)),f230(f890(x33321,a881)))
% 119.46/119.23 [3333]E(f313(f252(x33331,x33331),f293(x33331,x33332)),f230(f890(x33331,a881)))
% 119.46/119.23 [3337]P1(f313(f125(x33371),f140(x33371,x33372)))
% 119.46/119.23 [3338]P1(f313(f148(x33381,x33382),f104(x33381)))
% 119.46/119.23 [3339]P1(f313(f148(x33391,x33392),f104(x33391)))
% 119.46/119.23 [3344]E(f313(f160(a1),f166(x33441,x33442)),f289(a1,x33441,x33442))
% 119.46/119.23 [3345]E(f313(f160(a1),f166(x33451,x33452)),f289(a1,x33451,x33452))
% 119.46/119.23 [3359]P58(x33591,f178(f890(x33591,a881)),x33592)
% 119.46/119.23 [3364]E(f313(f244(a1,a1),f39(x33641,x33642)),f38(a1,x33641,x33642))
% 119.46/119.23 [3365]E(f313(f288(a883,x33651),f313(a103,x33652)),f289(a883,x33651,x33652))
% 119.46/119.23 [3380]E(f313(f313(f139(x33801),x33802),f104(x33801)),f128(x33801,x33802,f104(x33801)))
% 119.46/119.23 [3393]E(f289(a883,f313(a103,x33931),x33932),f291(a883,x33931,x33932))
% 119.46/119.23 [3394]P55(x33941,f230(f890(x33941,a881)),f293(x33941,x33942))
% 119.46/119.23 [3456]E(f313(f313(f3(a883),x34561),f313(a103,x34562)),f313(f28(a883),f292(a883,x34562,x34561)))
% 119.46/119.23 [3509]E(f154(x35091,x35092,f104(x35091)),f313(f313(f240(f885(x35091),f885(x35091)),f104(x35091)),f104(x35091)))
% 119.46/119.23 [3527]E(f313(f245(x35271,x35272,f889(x35271,x35272)),f240(x35271,x35272)),f25(f889(x35271,x35272)))
% 119.46/119.23 [3531]P1(f313(f313(f315(f885(x35311)),f104(x35311)),f149(x35311,x35312)))
% 119.46/119.23 [3532]E(f313(f179(f885(x35321)),f105(x35321,x35322)),f313(f313(f3(a883),f313(f179(f885(x35321)),x35322)),f71(a883)))
% 119.46/119.23 [3540]P1(f313(f54(a883),f289(a883,x35401,x35402)))
% 119.46/119.23 [3541]P1(f313(f54(a883),f291(a883,x35411,x35412)))
% 119.46/119.23 [3542]P1(f313(f54(a883),f292(a883,x35421,x35422)))
% 119.46/119.23 [3543]P1(f313(f54(a1),f289(a1,x35431,x35432)))
% 119.46/119.23 [3544]P1(f313(f54(a1),f291(a1,x35441,x35442)))
% 119.46/119.23 [3545]P1(f313(f54(a1),f292(a1,x35451,x35452)))
% 119.46/119.23 [3646]E(f313(f296(a883,a883,a103),f289(a883,x36461,x36462)),f289(a883,f313(a103,x36461),f313(a103,x36462)))
% 119.46/119.23 [3666]E(f313(f313(f275(x36661,x36661,x36661),f293(x36661,x36662)),f293(x36661,x36662)),f293(x36661,x36662))
% 119.46/119.23 [3700]E(f313(f313(f240(a1,a1),f313(f313(f29(a1),x37001),x37002)),f38(a1,x37001,x37002)),f39(x37001,x37002))
% 119.46/119.23 [3701]E(f313(f313(f240(a90,a90),f313(f313(f29(a90),x37011),x37012)),f38(a90,x37011,x37012)),f23(x37011,x37012))
% 119.46/119.23 [3728]E(f313(f313(f240(a883,a883),f313(f313(f29(a883),x37281),x37282)),f38(a883,x37281,x37282)),f78(f889(a883,a883),f41(x37281,x37282)))
% 119.46/119.23 [3779]P1(f313(f313(f223(a883),f313(f313(f3(a883),x37791),x37792)),f313(a103,x37791)))
% 119.46/119.23 [3827]P37(x38271,f313(f313(f275(x38271,x38271,x38271),x38272),f293(x38271,x38272)))
% 119.46/119.23 [3866]E(f313(f313(f126(x38661),f313(f179(f885(x38661)),f165(x38661,x38662,f104(x38661)))),f104(x38661)),f104(x38661))
% 119.46/119.23 [3876]E(f313(f313(f73(a1),f313(f313(f74(a1),x38761),f313(f313(f29(a1),x38762),x38761))),f38(a1,x38762,x38761)),x38762)
% 119.46/119.23 [3880]E(f313(f313(f33(a883,f890(f889(f885(x38801),f885(x38801)),a881)),f230(f890(a883,a881))),f131(x38801,x38802)),f133(x38801,x38802))
% 119.46/119.23 [3958]E(f313(f124(x39581,f313(f313(f10(a881,a881,x39581),a308),f313(a310,x39582))),f104(x39581)),f104(x39581))
% 119.46/119.23 [4096]P1(f313(f313(f315(f889(f885(x40961),f885(x40961))),f313(f313(f240(f885(x40961),f885(x40961)),f104(x40961)),f104(x40961))),f146(x40961,x40962)))
% 119.46/119.23 [4205]E(f241(x42051,x42051,x42051,a310,f241(x42051,x42051,x42051,x42052,a310)),x42052)
% 119.46/119.23 [4246]E(f246(x42461,x42461,x42462,x42462,f25(x42461),f25(x42462)),f25(f889(x42461,x42462)))
% 119.46/119.23 [4247]E(f246(x42471,x42471,x42472,x42472,f7(x42471),f7(x42472)),f25(f889(x42471,x42472)))
% 119.46/119.23 [4248]E(f246(x42481,x42481,x42482,x42482,f25(x42481),f25(x42482)),f25(f889(x42481,x42482)))
% 119.46/119.23 [4249]E(f246(x42491,x42491,x42492,x42492,f25(x42491),f25(x42492)),f25(f889(x42491,x42492)))
% 119.46/119.23 [3271]E(f313(f156(x32711),f313(f156(x32711),x32712)),x32712)
% 119.46/119.23 [3273]E(f313(f313(f126(x32731),f2(a883)),x32732),x32732)
% 119.46/119.23 [3289]E(f313(f313(f163(x32891),f2(a883)),x32892),f104(x32891))
% 119.46/119.23 [3296]E(f313(f313(f122(x32961),f104(x32961)),x32962),x32962)
% 119.46/119.23 [3305]E(f30(f890(x33051,a881),f313(f294(x33051),x33052)),x33052)
% 119.46/119.23 [3307]E(f313(f160(x33071),f313(f155(x33071),x33072)),f313(f160(x33071),x33072))
% 119.46/119.23 [3308]E(f313(f160(x33081),f313(f156(x33081),x33082)),f313(f160(x33081),x33082))
% 119.46/119.23 [3313]E(f313(f313(f3(a90),x33131),x33132),f313(f313(a4,x33131),x33132))
% 119.46/119.23 [3326]E(f313(f313(f74(a883),x33261),x33262),f313(f313(f74(a883),x33262),x33261))
% 119.46/119.23 [3327]E(f313(f313(f74(a1),x33271),x33272),f313(f313(f74(a1),x33272),x33271))
% 119.46/119.23 [3328]E(f313(f313(f73(a883),x33281),x33282),f313(f313(f73(a883),x33282),x33281))
% 119.46/119.23 [3329]E(f313(f313(f73(a1),x33291),x33292),f313(f313(f73(a1),x33292),x33291))
% 119.46/119.23 [3351]E(f313(f313(f171(x33511,x33511),f2(a883)),x33512),f25(x33511))
% 119.46/119.23 [3352]E(f313(f179(f885(x33521)),f313(f155(x33521),x33522)),f313(f179(f885(x33521)),x33522))
% 119.46/119.23 [3353]E(f313(f179(f885(x33531)),f313(f156(x33531),x33532)),f313(f179(f885(x33531)),x33532))
% 119.46/119.23 [3354]E(f164(x33541,x33542,f178(f890(a883,a881))),f104(x33541))
% 119.46/119.23 [3355]E(f313(f313(f142(x33551,x33551),f7(x33551)),x33552),x33552)
% 119.46/119.23 [3357]E(f313(f239(a1,a1),f39(x33571,x33572)),f313(f313(f29(a1),x33571),x33572))
% 119.46/119.23 [3374]E(f313(f179(f885(x33741)),f140(x33741,x33742)),f313(f28(x33741),f313(f160(x33741),x33742)))
% 119.46/119.23 [3375]E(f313(f267(x33751),f313(f272(x33751,x33751),x33752)),f313(f267(x33751),x33752))
% 119.46/119.23 [3379]P1(f313(f54(x33791),f313(f160(x33791),x33792)))
% 119.46/119.23 [3387]E(f313(f313(f73(a1),x33871),f313(f72(a1),x33872)),f313(f313(f3(a1),x33871),x33872))
% 119.46/119.23 [3388]E(f313(f313(f73(a1),x33881),f313(f72(a1),x33882)),f313(f313(f3(a1),x33881),x33882))
% 119.46/119.23 [3395]E(f313(f296(x33951,x33951,f7(x33951)),x33952),x33952)
% 119.46/119.23 [3396]E(f313(f296(x33961,x33961,f25(x33961)),x33962),x33962)
% 119.46/119.23 [3397]E(f313(f297(x33971,x33971,f7(x33971)),x33972),x33972)
% 119.46/119.23 [3398]E(f313(f297(x33981,x33981,f25(x33981)),x33982),x33982)
% 119.46/119.23 [3399]P1(f313(f230(f890(x33991,a881)),x33992))
% 119.46/119.23 [3401]E(f313(f28(a883),f313(f288(a883,x34011),x34012)),f313(f313(f3(a883),x34012),x34011))
% 119.46/119.23 [3402]E(f313(f288(a883,f313(a103,x34021)),x34022),f292(a883,x34021,x34022))
% 119.46/119.23 [3415]E(f313(f313(f295(x34151),x34152),f178(f890(x34151,a881))),f313(f250(x34151),f313(a310,x34152)))
% 119.46/119.23 [3420]E(f293(x34201,f313(f272(x34201,x34201),x34202)),f313(f272(x34201,x34201),f293(x34201,x34202)))
% 119.46/119.23 [3425]E(f313(f313(f73(a883),f313(a103,x34251)),x34252),f313(f313(f73(a883),x34251),f313(a103,x34252)))
% 119.46/119.23 [3426]E(f313(f313(f3(a883),f313(a103,x34261)),f313(a103,x34262)),f313(f313(f3(a883),x34261),x34262))
% 119.46/119.23 [3432]E(f48(x34321,f2(a883),x34322),f313(f313(f139(f885(x34321)),f104(x34321)),f104(f885(x34321))))
% 119.46/119.23 [3433]E(f313(f28(a883),f291(a883,x34331,x34332)),f313(f313(f3(a883),x34332),x34331))
% 119.46/119.23 [3442]P36(x34421,f313(f313(f274(a883,x34421),a228),x34422))
% 119.46/119.23 [3444]P13(a883,f127(a883,f313(f288(a883,x34441),x34442)))
% 119.46/119.23 [3446]P1(f313(f54(a883),f313(f288(a883,x34461),x34462)))
% 119.46/119.23 [3447]P1(f313(f54(a1),f313(f288(a1,x34471),x34472)))
% 119.46/119.23 [3450]E(f313(f272(f885(x34501),f885(x34501)),f145(x34501,x34502)),f145(x34501,f313(f272(x34501,x34501),x34502)))
% 119.46/119.23 [3452]E(f313(f288(a1,x34521),f313(f313(f73(a1),x34522),f71(a1))),f289(a1,x34521,x34522))
% 119.46/119.23 [3455]E(f313(f313(f29(a1),f313(f72(a1),x34551)),f313(f72(a1),x34552)),f313(f313(f29(a1),x34551),x34552))
% 119.46/119.23 [3463]E(f313(f313(f171(f889(x34631,x34631),a881),f71(a883)),x34632),x34632)
% 119.46/119.23 [3465]E(f313(f313(f3(f890(x34651,a881)),x34652),f178(f890(x34651,a881))),x34652)
% 119.46/119.23 [3466]E(f313(f313(f92(f890(x34661,a881)),x34662),f178(f890(x34661,a881))),x34662)
% 119.46/119.23 [3467]E(f313(f313(f93(f890(x34671,a881)),x34672),f230(f890(x34671,a881))),x34672)
% 119.46/119.23 [3468]E(f313(f239(a883,a883),f78(f889(a883,a883),f41(x34681,x34682))),f313(f313(f29(a883),x34681),x34682))
% 119.46/119.23 [3474]E(f289(a1,f313(f313(f73(a1),x34741),f71(a1)),x34742),f291(a1,x34741,x34742))
% 119.46/119.23 [3479]E(f313(f244(a883,a883),f78(f889(a883,a883),f41(x34791,x34792))),f38(a883,x34791,x34792))
% 119.46/119.23 [3488]P1(f313(f313(f315(x34881),x34882),f230(f890(x34881,a881))))
% 119.46/119.23 [3489]P1(f313(f313(f315(x34891),x34892),f230(f890(x34891,a881))))
% 119.46/119.23 [3493]E(f313(f313(f3(a883),f313(a103,x34931)),x34932),f313(f28(a883),f289(a883,x34932,x34931)))
% 119.46/119.23 [3518]E(f313(f313(f3(f890(x35181,a881)),x35182),f230(f890(x35181,a881))),f178(f890(x35181,a881)))
% 119.46/119.23 [3519]E(f313(f313(f92(f890(x35191,a881)),x35192),f230(f890(x35191,a881))),f230(f890(x35191,a881)))
% 119.46/119.23 [3520]E(f313(f313(f93(f890(x35201,a881)),x35202),f178(f890(x35201,a881))),f178(f890(x35201,a881)))
% 119.46/119.23 [3534]E(f38(a1,f313(f91(a1),x35341),f313(f91(a1),x35342)),f313(f91(a1),f38(a883,x35341,x35342)))
% 119.46/119.23 [3535]E(f38(a1,f313(f91(a1),x35351),f313(f91(a1),x35352)),f313(f91(a1),f38(a883,x35351,x35352)))
% 119.46/119.23 [3536]E(f38(a1,f313(f72(a1),x35361),f313(f72(a1),x35362)),f313(f72(a1),f38(a1,x35361,x35362)))
% 119.46/119.23 [3547]E(f313(f179(f885(x35471)),f313(f159(x35471),x35472)),f313(f313(f3(a883),f313(f179(f885(x35471)),x35472)),f71(a883)))
% 119.46/119.23 [3573]E(f313(f313(f29(a1),f38(a1,x35731,x35732)),x35732),f2(a1))
% 119.46/119.23 [3581]E(f313(a5,f38(a883,f313(a22,x35811),f313(a22,x35812))),f38(a90,x35811,x35812))
% 119.46/119.23 [3614]E(f313(a5,f313(f313(f74(a883),f313(a22,x36141)),f313(a22,x36142))),f313(f313(f74(a90),x36141),x36142))
% 119.46/119.23 [3615]E(f313(a5,f313(f313(f73(a883),f313(a22,x36151)),f313(a22,x36152))),f313(f313(f73(a90),x36151),x36152))
% 119.46/119.23 [3616]E(f313(a5,f313(f313(f3(a883),f313(a22,x36161)),f313(a22,x36162))),f313(f313(f3(a90),x36161),x36162))
% 119.46/119.23 [3617]E(f313(a5,f313(f313(f29(a883),f313(a22,x36171)),f313(a22,x36172))),f313(f313(f29(a90),x36171),x36172))
% 119.46/119.23 [3625]E(f313(f296(a883,a883,a103),f313(f288(a883,x36251),x36252)),f313(f288(a883,f313(a103,x36251)),f313(a103,x36252)))
% 119.46/119.23 [3651]P1(f313(f41(x36511,x36512),f78(f889(a883,a883),f41(x36511,x36512))))
% 119.46/119.23 [3675]E(f38(a883,f313(a103,f38(a883,x36751,x36752)),x36752),f38(a883,f313(a103,x36751),x36752))
% 119.46/119.23 [3687]E(f313(f313(f32(f890(x36871,a881),f890(x36871,a881)),x36872),f7(f890(x36871,a881))),f31(f890(x36871,a881),x36872))
% 119.46/119.23 [3688]E(f313(f313(f33(f890(x36881,a881),f890(x36881,a881)),x36882),f7(f890(x36881,a881))),f30(f890(x36881,a881),x36882))
% 119.46/119.23 [3689]E(f313(f296(f885(x36891),f890(x36891,a881),f160(x36891)),f313(f160(f885(x36891)),f47(x36891,x36892))),f313(f294(x36891),f313(f160(x36891),x36892)))
% 119.46/119.23 [3693]P1(f313(f313(f315(f890(x36931,a881)),x36932),f313(f294(x36931),x36932)))
% 119.46/119.23 [3699]E(f38(a1,f313(f72(a1),f38(a1,x36991,x36992)),x36992),f38(a1,f313(f72(a1),x36991),x36992))
% 119.46/119.23 [3710]P1(f313(f313(f222(f890(x37101,a881)),x37102),f230(f890(x37101,a881))))
% 119.46/119.23 [3712]E(f313(f313(f275(x37121,x37121,x37121),f293(x37121,x37122)),f293(x37121,f293(x37121,x37122))),f293(x37121,x37122))
% 119.46/119.23 [3713]E(f313(f313(f92(f890(x37131,a881)),f313(f252(x37131,x37131),x37132)),f313(f270(x37131,x37131),x37132)),f313(f267(x37131),x37132))
% 119.46/119.23 [3734]E(f299(x37341,x37342,f230(f890(x37341,a881)),f230(f890(x37342,a881))),f230(f890(f891(x37341,x37342),a881)))
% 119.46/119.23 [3784]P1(f313(f313(f222(a883),f38(a883,x37841,x37842)),x37841))
% 119.46/119.23 [3808]P1(f313(f313(f222(a1),f313(f72(a1),f313(f91(a1),x38081))),f313(f91(a1),x38082)))
% 119.46/119.23 [3832]P1(f313(f313(f315(f890(x38321,a881)),f178(f890(x38321,a881))),f313(f294(x38321),x38322)))
% 119.46/119.23 [3837]E(f293(x38371,f313(f313(f275(x38371,x38371,x38371),x38372),f293(x38371,x38372))),f293(x38371,x38372))
% 119.46/119.23 [3839]E(f313(f313(f275(x38391,x38391,x38391),f293(x38391,x38392)),x38392),f313(f313(f275(x38391,x38391,x38391),x38392),f293(x38391,x38392)))
% 119.46/119.23 [3840]E(f313(f313(f275(x38401,x38401,x38401),f293(x38401,x38402)),x38402),f313(f313(f275(x38401,x38401,x38401),x38402),f293(x38401,x38402)))
% 119.46/119.23 [3842]E(f313(a96,f313(f313(f73(a1),f313(f313(f3(a1),x38421),x38422)),f71(a1))),f313(f28(a1),f289(a1,x38422,x38421)))
% 119.46/119.23 [3857]E(f313(f270(x38571,x38571),f313(f313(f275(x38571,x38571,x38571),x38572),f293(x38571,x38572))),f313(f270(x38571,x38571),x38572))
% 119.46/119.23 [3858]E(f313(f252(x38581,x38581),f313(f313(f275(x38581,x38581,x38581),x38582),f293(x38581,x38582))),f313(f252(x38581,x38581),x38582))
% 119.46/119.23 [3875]E(f313(f130(f885(x38751),f885(x38751),f122(x38751),f104(x38751)),f157(f885(x38751),x38752,f104(x38751))),f104(x38751))
% 119.46/119.23 [3884]P24(a883,a883,f313(f313(f9(a883,a883,a883),f73(a883)),x38841),x38842)
% 119.46/119.23 [3886]P13(a883,f313(f156(a883),f313(f313(f142(f885(x38861),a883),f179(f885(x38861))),f167(x38861,x38862))))
% 119.46/119.23 [3916]P54(x39161,f313(f313(f92(f890(f889(x39161,x39161),a881)),x39162),f313(f272(x39161,x39161),x39162)))
% 119.46/119.23 [3917]P54(x39171,f313(f313(f93(f890(f889(x39171,x39171),a881)),x39172),f313(f272(x39171,x39171),x39172)))
% 119.46/119.23 [3928]P1(f313(f313(f223(a1),f313(f72(a1),f313(f91(a1),f313(a103,x39281)))),f313(f91(a1),x39282)))
% 119.46/119.23 [3972]E(f313(f130(f885(x39721),x39721,f313(f9(x39721,f885(x39721),f885(x39721)),f139(x39721)),f104(x39721)),x39722),f313(f156(x39721),x39722))
% 119.46/119.23 [4017]P1(f313(f313(f222(f890(f889(f885(x40171),f885(x40171)),a881)),f146(x40171,x40172)),f293(f885(x40171),f145(x40171,x40172))))
% 119.46/119.23 [4046]P1(f313(f41(x40461,x40462),f313(f313(f240(a883,a883),f313(f313(f29(a883),x40461),x40462)),f38(a883,x40461,x40462))))
% 119.46/119.23 [4058]P1(f313(f313(f222(f890(f889(f885(x40581),f885(x40581)),a881)),f145(x40581,f293(x40581,x40582))),f293(f885(x40581),f145(x40581,x40582))))
% 119.46/119.23 [4272]E(f313(f313(f247(f889(a90,a90),a90,f889(a90,a90),f889(x42721,f889(a90,a90))),f255(f313(f153(a90),f313(f313(f142(f889(a90,x42721),a90),f239(a90,x42721)),x42722)))),f313(f313(f10(x42721,f890(f889(a90,a90),f889(x42721,f889(a90,a90))),a90),f240(x42721,f889(a90,a90))),f256(x42721,x42722))),f254(x42721,x42722))
% 119.46/119.23 [4348]E(f213(a883,f889(x43481,f884(x43481)),f2(a883),f313(f245(x43481,f884(x43481),a883),f313(f18(f890(f884(x43481),a883),x43481),f313(f313(f9(f884(x43481),a883,a883),f313(f313(f10(a883,f890(a883,a883),f884(x43481)),f73(a883)),f179(f884(x43481)))),f71(a883)))),f313(f123(x43481),x43482)),f313(f179(f884(x43481)),x43482))
% 119.46/119.23 [4422]E(f38(a883,f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44221),f313(f95(a883),x44222)),f38(a883,f313(a103,f313(a103,f313(a103,x44221))),f313(f95(a883),x44222)))
% 119.46/119.23 [4435]E(f313(f313(f29(a883),f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44351)),f313(f95(a883),x44352)),f313(f313(f29(a883),f313(a103,f313(a103,f313(a103,x44351)))),f313(f95(a883),x44352)))
% 119.46/119.23 [4454]E(f313(f245(f890(f889(x44541,x44541),a881),f890(f889(x44541,x44541),a881),f890(f890(x44542,x44541),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f313(f313(f9(f890(f889(x44541,x44541),a881),f890(f890(f889(x44541,x44541),a881),f890(f890(x44542,x44541),f890(f889(x44542,x44542),a881))),f890(f890(f889(x44541,x44541),a881),f890(f890(x44542,x44541),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881))))),f313(f313(f10(f890(f890(f890(x44542,x44541),f890(f889(x44542,x44542),a881)),f890(f890(x44542,x44541),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f890(f890(f890(f889(x44541,x44541),a881),f890(f890(x44542,x44541),f890(f889(x44542,x44542),a881))),f890(f890(f889(x44541,x44541),a881),f890(f890(x44542,x44541),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881))))),f890(f889(x44541,x44541),a881)),f10(f890(f890(x44542,x44541),f890(f889(x44542,x44542),a881)),f890(f890(x44542,x44541),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881))),f890(f889(x44541,x44541),a881))),f313(f313(f10(f890(f890(x44542,x44541),f890(f890(f889(x44542,x44542),a881),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f890(f890(f890(x44542,x44541),f890(f889(x44542,x44542),a881)),f890(f890(x44542,x44541),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f890(f889(x44541,x44541),a881)),f20(f890(x44542,x44541),f890(f889(x44542,x44542),a881),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f313(f313(f10(f890(f890(x44542,x44541),f890(f889(x44542,x44542),a881)),f890(f890(x44542,x44541),f890(f890(f889(x44542,x44542),a881),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f890(f889(x44541,x44541),a881)),f313(f10(f890(f889(x44542,x44542),a881),f890(f890(f889(x44542,x44542),a881),f889(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881))),f890(x44542,x44541)),f240(f890(f889(x44542,x44542),a881),f890(f889(x44542,x44542),a881)))),f274(x44541,x44542))))),f274(x44541,x44542))),f67(x44541,x44542))
% 119.46/119.23 [4500]~E(f313(f294(x45001),x45002),f178(f890(f890(x45001,a881),a881)))
% 119.46/119.23 [4509]~P1(f313(f313(f160(x45091),f104(x45091)),x45092))
% 119.46/119.23 [4512]~P1(f313(f313(f315(x45121),x45122),f178(f890(x45121,a881))))
% 119.46/119.23 [4513]~P1(f313(f313(f315(x45131),x45132),f178(f890(x45131,a881))))
% 119.46/119.23 [4521]~P1(f313(f313(f223(f890(x45211,a881)),x45212),f178(f890(x45211,a881))))
% 119.46/119.23 [3404]E(f313(f313(f3(a883),x34041),f313(f313(f73(a883),x34041),x34042)),f2(a883))
% 119.46/119.23 [3407]E(f313(f313(f92(f890(x34071,a881)),x34072),x34072),x34072)
% 119.46/119.23 [3408]E(f313(f313(f93(f890(x34081,a881)),x34082),x34082),x34082)
% 119.46/119.23 [3436]E(f313(f313(f3(f890(x34361,a881)),x34362),x34362),f178(f890(x34361,a881)))
% 119.46/119.23 [3439]E(f313(f131(x34391,x34392),f2(a883)),f178(f890(f889(f885(x34391),f885(x34391)),a881)))
% 119.46/119.23 [3440]E(f313(f313(f73(a883),x34401),f313(a103,x34402)),f313(a103,f313(f313(f73(a883),x34401),x34402)))
% 119.46/119.23 [3451]E(f184(f313(f91(a1),x34511),f313(f91(a1),x34512)),f313(f91(a1),f313(f313(f3(a883),x34511),x34512)))
% 119.46/119.23 [3454]E(f313(f313(f29(a1),f313(f72(a1),x34541)),x34542),f313(f313(f29(a1),x34541),f313(f72(a1),x34542)))
% 119.46/119.23 [3458]E(f313(f28(a1),f313(f288(a1,x34581),x34582)),f313(a96,f313(f313(f3(a1),x34582),x34581)))
% 119.46/119.23 [3461]E(f313(f313(f73(a883),f313(a103,x34611)),x34612),f313(a103,f313(f313(f73(a883),x34611),x34612)))
% 119.46/119.23 [3464]E(f313(f72(f890(x34641,a881)),f313(f72(f890(x34641,a881)),x34642)),x34642)
% 119.46/119.23 [3476]E(f167(x34761,f313(f313(f139(f885(x34761)),f104(x34761)),x34762)),f167(x34761,x34762))
% 119.46/119.23 [3480]E(f313(f313(f73(a883),x34801),f313(f313(f74(a883),x34801),x34802)),f313(f313(f74(a883),x34801),f313(a103,x34802)))
% 119.46/119.23 [3487]E(f313(f313(a4,f313(a5,x34871)),f313(a5,x34872)),f313(a5,f313(f313(f3(a883),x34871),x34872)))
% 119.46/119.23 [3499]E(f313(f313(f232(a1),f313(f91(a1),x34991)),x34992),f313(f91(a1),f313(f313(f232(a883),x34991),x34992)))
% 119.46/119.23 [3500]E(f313(f313(f232(a1),f313(f91(a1),x35001)),x35002),f313(f91(a1),f313(f313(f232(a883),x35001),x35002)))
% 119.46/119.23 [3501]E(f313(f313(f232(a1),f313(f91(a1),x35011)),x35012),f313(f91(a1),f313(f313(f232(a883),x35011),x35012)))
% 119.46/119.23 [3502]E(f313(f313(f74(a1),f313(f72(a1),x35021)),x35022),f313(f72(a1),f313(f313(f74(a1),x35021),x35022)))
% 119.46/119.23 [3503]E(f313(f313(f74(a90),f313(a5,x35031)),f313(a5,x35032)),f313(a5,f313(f313(f74(a883),x35031),x35032)))
% 119.46/119.23 [3504]E(f313(f313(f73(a90),f313(a5,x35041)),f313(a5,x35042)),f313(a5,f313(f313(f73(a883),x35041),x35042)))
% 119.46/119.23 [3505]E(f313(f313(f227(a883),f313(a103,x35051)),f313(a103,x35052)),f313(a103,f313(f313(f227(a883),x35051),x35052)))
% 119.46/119.23 [3506]E(f313(f313(f177(a883),f313(a103,x35061)),f313(a103,x35062)),f313(a103,f313(f313(f177(a883),x35061),x35062)))
% 119.46/119.23 [3510]E(f313(f160(a883),f127(a883,f313(f288(a883,x35101),x35102))),f313(f288(a883,x35101),x35102))
% 119.46/119.23 [3511]E(f313(f160(a883),f127(a883,f313(f288(a883,x35111),x35112))),f313(f288(a883,x35111),x35112))
% 119.46/119.23 [3512]E(f298(x35121,f313(f313(f295(x35121),x35122),f178(f890(x35121,a881)))),x35122)
% 119.46/119.23 [3516]E(f313(f270(x35161,x35162),f178(f890(f889(x35161,x35162),a881))),f178(f890(x35162,a881)))
% 119.46/119.23 [3517]E(f313(f252(x35171,x35172),f178(f890(f889(x35171,x35172),a881))),f178(f890(x35171,a881)))
% 119.46/119.23 [3521]E(f313(a96,f313(f313(f3(a1),x35211),x35212)),f313(f28(a1),f291(a1,x35212,x35211)))
% 119.46/119.23 [3526]E(f313(f313(f73(a883),x35261),f313(f313(f74(a883),x35262),x35261)),f313(f313(f74(a883),f313(a103,x35262)),x35261))
% 119.46/119.23 [3528]E(f313(f313(f53(x35281),f178(f890(x35281,a881))),x35282),f178(f890(f890(x35281,a881),a881)))
% 119.46/119.23 [3537]E(f313(f179(f885(a883)),f127(a883,f313(f288(a883,x35371),x35372))),f313(f313(f3(a883),x35372),x35371))
% 119.46/119.23 [3552]E(f313(f313(f92(f890(x35521,a881)),f178(f890(x35521,a881))),x35522),x35522)
% 119.46/119.23 [3553]E(f313(f313(f93(f890(x35531,a881)),f230(f890(x35531,a881))),x35532),x35532)
% 119.46/119.23 [3554]E(f313(f313(f74(a1),f313(f91(a1),x35541)),f313(f91(a1),x35542)),f313(f91(a1),f313(f313(f74(a883),x35541),x35542)))
% 119.46/119.23 [3555]E(f313(f313(f29(a1),f313(f91(a1),x35551)),f313(f91(a1),x35552)),f313(f91(a1),f313(f313(f29(a883),x35551),x35552)))
% 119.46/119.23 [3556]E(f313(f313(f73(a1),f313(f72(a1),x35561)),f313(f72(a1),x35562)),f313(f72(a1),f313(f313(f73(a1),x35561),x35562)))
% 119.46/119.23 [3558]E(f313(f313(f74(a1),f313(f91(a1),x35581)),f313(f91(a1),x35582)),f313(f91(a1),f313(f313(f74(a883),x35581),x35582)))
% 119.46/119.23 [3559]E(f313(f313(f74(a1),f313(f91(a1),x35591)),f313(f91(a1),x35592)),f313(f91(a1),f313(f313(f74(a883),x35591),x35592)))
% 119.46/119.23 [3560]E(f313(f313(f74(a1),f313(f95(a1),x35601)),f313(f95(a1),x35602)),f313(f95(a1),f313(f313(f74(a1),x35601),x35602)))
% 119.46/119.23 [3561]E(f313(f313(f73(a1),f313(f91(a1),x35611)),f313(f91(a1),x35612)),f313(f91(a1),f313(f313(f73(a883),x35611),x35612)))
% 119.46/119.23 [3562]E(f313(f313(f73(a1),f313(f91(a1),x35621)),f313(f91(a1),x35622)),f313(f91(a1),f313(f313(f73(a883),x35621),x35622)))
% 119.46/119.23 [3563]E(f313(f313(f73(a1),f313(f95(a1),x35631)),f313(f95(a1),x35632)),f313(f95(a1),f313(f313(f73(a1),x35631),x35632)))
% 119.46/119.23 [3564]E(f313(f313(f29(a1),f313(f91(a1),x35641)),f313(f91(a1),x35642)),f313(f91(a1),f313(f313(f29(a883),x35641),x35642)))
% 119.46/119.23 [3582]E(f313(f313(f8(x35821,a883),f313(f18(a883,x35821),f71(a883))),x35822),f313(f28(x35821),x35822))
% 119.46/119.23 [3587]E(f313(f72(a1),f38(a1,f313(f72(a1),x35871),x35872)),f38(a1,x35871,f313(f72(a1),x35872)))
% 119.46/119.23 [3589]E(f313(f160(a1),f166(x35891,f313(f313(f3(a1),x35892),f71(a1)))),f313(f288(a1,x35891),x35892))
% 119.46/119.23 [3594]P1(f313(f313(f222(a883),x35941),f313(f313(f73(a883),x35942),x35941)))
% 119.46/119.23 [3595]P1(f313(f313(f222(a883),x35951),f313(f313(f73(a883),x35951),x35952)))
% 119.46/119.23 [3597]E(f313(f313(f3(f890(x35971,a881)),f178(f890(x35971,a881))),x35972),f178(f890(x35971,a881)))
% 119.46/119.23 [3598]E(f313(f313(f92(f890(x35981,a881)),f230(f890(x35981,a881))),x35982),f230(f890(x35981,a881)))
% 119.46/119.23 [3599]E(f313(f313(f93(f890(x35991,a881)),f178(f890(x35991,a881))),x35992),f178(f890(x35991,a881)))
% 119.46/119.23 [3606]E(f313(f313(f240(a1,a1),x36061),f313(f72(a1),x36062)),f313(a44,f313(f313(f240(a1,a1),x36061),x36062)))
% 119.46/119.23 [3607]E(f313(f288(a1,f313(f313(f73(a1),x36071),f71(a1))),x36072),f292(a1,x36071,x36072))
% 119.46/119.23 [3618]E(f313(f313(f74(a883),x36181),f313(f313(f29(a883),x36182),x36181)),f313(f313(f3(a883),x36182),f38(a883,x36182,x36181)))
% 119.46/119.23 [3619]E(f313(f313(f74(a1),x36191),f313(f313(f29(a1),x36192),x36191)),f313(f313(f3(a1),x36192),f38(a1,x36192,x36191)))
% 119.46/119.23 [3622]E(f313(f160(a1),f166(f313(f313(f73(a1),x36221),f71(a1)),x36222)),f291(a1,x36221,x36222))
% 119.46/119.23 [3626]P1(f313(f313(f222(f890(x36261,a881)),x36262),x36262))
% 119.46/119.23 [3629]E(f313(f313(f92(f890(x36291,a881)),x36292),f313(f72(f890(x36291,a881)),x36292)),f230(f890(x36291,a881)))
% 119.46/119.23 [3630]E(f313(f313(f93(f890(x36301,a881)),x36302),f313(f72(f890(x36301,a881)),x36302)),f178(f890(x36301,a881)))
% 119.46/119.23 [3638]E(f313(f313(f3(a883),f313(f313(f3(a883),x36381),f71(a883))),x36382),f313(f313(f3(a883),x36381),f313(a103,x36382)))
% 119.46/119.23 [3643]E(f313(f313(f3(f890(x36431,a881)),f230(f890(x36431,a881))),x36432),f313(f72(f890(x36431,a881)),x36432))
% 119.46/119.23 [3644]E(f313(f313(f3(a1),f313(f95(a1),x36441)),f313(f95(a1),x36442)),f313(f95(a1),f313(f313(f73(a1),x36441),f313(f72(a1),x36442))))
% 119.46/119.23 [3657]E(f313(f160(a883),f127(a883,f313(f288(a883,x36571),f313(a103,x36572)))),f289(a883,x36571,x36572))
% 119.46/119.23 [3673]E(f313(f179(f885(f885(x36731))),f47(x36731,x36732)),f313(f313(f232(a883),f313(a103,f313(a103,f2(a883)))),f313(f179(f885(x36731)),x36732)))
% 119.46/119.23 [3691]E(f313(f313(f171(f889(x36911,x36911),a881),f2(a883)),x36912),f293(x36911,f178(f890(f889(x36911,x36911),a881))))
% 119.46/119.23 [3695]P1(f313(f125(a883),f127(a883,f313(f288(a883,x36951),x36952))))
% 119.46/119.23 [3711]E(f313(f296(a1,a883,a96),f289(a1,f313(f91(a1),x37111),f313(f91(a1),x37112))),f289(a883,x37111,x37112))
% 119.46/119.23 [3720]E(f173(a883,f2(a883),f7(a883),f313(f313(f3(a883),x37201),x37202)),f313(f313(f3(a883),x37201),f313(a103,x37202)))
% 119.46/119.23 [3721]E(f313(a96,f313(f313(f3(a1),x37211),f313(f313(f73(a1),x37212),f71(a1)))),f313(f28(a1),f292(a1,x37212,x37211)))
% 119.46/119.23 [3756]E(f313(f313(f142(a883,a883),a103),f127(a883,f313(f288(a883,x37561),x37562))),f127(a883,f313(f288(a883,f313(a103,x37561)),f313(a103,x37562))))
% 119.46/119.23 [3764]E(f313(f160(a1),f166(f313(f313(f73(a1),x37641),f71(a1)),f313(f313(f3(a1),x37642),f71(a1)))),f292(a1,x37641,x37642))
% 119.46/119.23 [3776]P1(f313(f313(f222(f890(x37761,a881)),f178(f890(x37761,a881))),x37762))
% 119.46/119.23 [3780]E(f78(x37801,f313(f313(f9(x37801,x37801,a881),a310),x37802)),x37802)
% 119.46/119.23 [3781]E(f83(x37811,f313(f313(f9(x37811,x37811,a881),a310),x37812)),x37812)
% 119.46/119.23 [3785]E(f313(f160(a883),f127(a883,f313(f288(a883,f313(a103,x37851)),f313(a103,x37852)))),f291(a883,x37851,x37852))
% 119.46/119.23 [3811]E(f313(f313(f242(x38111,x38112),f230(f890(x38111,a881))),f313(f18(f890(x38112,a881),x38111),f230(f890(x38112,a881)))),f230(f890(f889(x38111,x38112),a881)))
% 119.46/119.23 [3844]E(f313(f250(x38441),f313(f313(f10(a881,a881,x38441),a308),x38442)),f313(f72(f890(x38441,a881)),f313(f250(x38441),x38442)))
% 119.46/119.23 [3847]E(f313(f250(x38471),f313(f313(f9(x38471,x38471,a881),a310),x38472)),f313(f313(f295(x38471),x38472),f178(f890(x38471,a881))))
% 119.46/119.23 [3854]E(f313(f313(f73(a1),f313(f313(f73(a1),x38541),x38541)),f313(f313(f73(a1),x38542),x38542)),f313(f313(f73(a1),f313(f313(f73(a1),x38541),x38542)),f313(f313(f73(a1),x38541),x38542)))
% 119.46/119.23 [3855]E(f313(f313(f3(a1),f313(f313(f73(a1),x38551),x38551)),f313(f313(f73(a1),x38552),x38552)),f313(f313(f73(a1),f313(f313(f3(a1),x38551),x38552)),f313(f313(f3(a1),x38551),x38552)))
% 119.46/119.23 [3870]P1(f313(f313(f222(a883),f313(f28(x38701),f313(f160(x38701),x38702))),f313(f179(f885(x38701)),x38702)))
% 119.46/119.23 [3871]P1(f313(f313(f222(a883),f313(f179(f885(x38711)),f140(x38711,x38712))),f313(f179(f885(x38711)),x38712)))
% 119.46/119.23 [3881]E(f313(f250(x38811),f313(f313(f9(x38811,f890(x38811,a881),a881),f315(x38811)),x38812)),x38812)
% 119.46/119.23 [3895]E(f313(f313(f163(x38951),f313(f313(f3(a883),f313(f179(f885(x38951)),x38952)),f71(a883))),x38952),f105(x38951,x38952))
% 119.46/119.23 [3915]E(f173(a883,f2(a883),f313(f313(f10(a883,a883,a883),a103),f313(f227(a883),x39151)),x39152),f313(f313(f227(a883),f313(a103,x39151)),x39152))
% 119.46/119.23 [3920]E(f30(f890(x39201,a881),f313(f296(f890(f889(x39201,x39201),a881),f890(x39201,a881),f267(x39201)),x39202)),f313(f267(x39201),f30(f890(f889(x39201,x39201),a881),x39202)))
% 119.46/119.23 [3921]E(f173(a883,f313(a103,x39211),f313(f313(f10(a883,a883,a883),a103),f313(f177(a883),x39211)),x39212),f313(f313(f177(a883),f313(a103,x39211)),x39212))
% 119.46/119.23 [3923]E(f313(f313(f240(a1,a1),f313(f313(f29(a1),f313(f69(a1),x39231)),f313(f69(a1),x39232))),f38(a1,f313(f69(a1),x39231),f313(f69(a1),x39232))),f46(x39231,x39232))
% 119.46/119.23 [3945]P1(f313(f313(f222(f890(f890(x39451,a881),a881)),x39452),f313(f294(x39451),f30(f890(x39451,a881),x39452))))
% 119.46/119.23 [3977]E(f313(f313(f33(x39771,f890(x39771,a881)),x39772),f313(f313(f9(x39771,f890(x39771,a881),f890(x39771,a881)),f295(x39771)),f178(f890(x39771,a881)))),x39772)
% 119.46/119.23 [3978]E(f313(f313(f275(x39781,x39781,x39781),f313(f272(x39781,x39781),x39782)),f293(x39781,f313(f272(x39781,x39781),x39782))),f313(f272(x39781,x39781),f313(f313(f275(x39781,x39781,x39781),x39782),f293(x39781,x39782))))
% 119.46/119.23 [4038]E(f313(f160(x40381),f313(f130(f885(x40381),f885(x40381),f122(x40381),f104(x40381)),x40382)),f313(f313(f33(f885(x40381),f890(x40381,a881)),f313(f160(f885(x40381)),x40382)),f160(x40381)))
% 119.46/119.23 [4069]E(f313(f313(f92(f890(f889(x40691,x40691),a881)),f293(x40691,f178(f890(f889(x40691,x40691),a881)))),f313(f313(f275(x40691,x40691,x40691),f293(x40691,x40692)),x40692)),f293(x40691,x40692))
% 119.46/119.23 [4105]E(f313(f313(f169(x41051,x41051),x41052),x41052),f313(f313(f142(x41051,f889(x41051,x41051)),f313(f313(f20(x41051,x41051,f889(x41051,x41051)),f240(x41051,x41051)),f7(x41051))),x41052))
% 119.46/119.23 [4214]E(f313(f130(a883,f885(x42141),f313(f9(f885(x42141),a883,a883),f313(f313(f10(a883,f890(a883,a883),f885(x42141)),f177(a883)),f179(f885(x42141)))),f2(a883)),f313(f156(f885(x42141)),x42142)),f313(f179(f885(f885(x42141))),f167(x42141,x42142)))
% 119.46/119.23 [4286]E(f313(f313(f274(f889(a883,f885(x42861)),f885(x42861)),f305(a883,f885(x42861),a228,f133(x42861,x42862))),f313(f313(f20(f885(x42861),f885(x42861),f889(a883,f885(x42861))),f313(f313(f10(a883,f890(f885(x42861),f889(a883,f885(x42861))),f885(x42861)),f240(a883,f885(x42861))),f179(f885(x42861)))),f7(f885(x42861)))),f134(x42861,x42862))
% 119.46/119.23 [4412]E(f313(f250(x44121),f313(f313(f10(f890(f890(x44121,a881),a881),a881,x44121),f81(f890(x44121,a881))),f313(f313(f10(f890(f890(x44121,a881),a881),f890(f890(x44121,a881),a881),x44121),f313(f20(f890(x44121,a881),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x44121,a881)),a316),f313(f313(f9(f890(x44121,a881),f890(f890(x44121,a881),a881),a881),f315(f890(x44121,a881))),x44122)))),f315(x44121)))),f31(f890(x44121,a881),x44122))
% 119.46/119.23 [4413]E(f313(f250(x44131),f313(f313(f10(f890(f890(x44131,a881),a881),a881,x44131),f80(f890(x44131,a881))),f313(f313(f10(f890(f890(x44131,a881),a881),f890(f890(x44131,a881),a881),x44131),f313(f20(f890(x44131,a881),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x44131,a881)),a311),f313(f313(f9(f890(x44131,a881),f890(f890(x44131,a881),a881),a881),f315(f890(x44131,a881))),x44132)))),f315(x44131)))),f30(f890(x44131,a881),x44132))
% 119.46/119.23 [4522]~P1(f313(f313(f223(a1),f313(f91(a1),x45221)),f313(f72(a1),f313(f91(a1),x45222))))
% 119.46/119.23 [3524]E(f313(f313(f3(a883),f313(f313(f73(a883),x35241),x35242)),x35242),x35241)
% 119.46/119.23 [3525]E(f313(f313(f3(a883),f313(f313(f73(a883),x35251),x35252)),x35251),x35252)
% 119.46/119.23 [3588]E(f313(f313(f73(a883),f313(f313(f3(a883),x35881),x35882)),x35882),f313(f313(f177(a883),x35881),x35882))
% 119.46/119.23 [3698]E(f313(f313(f74(a883),f313(f313(f29(a883),x36981),x36982)),x36982),f313(f313(f3(a883),x36981),f38(a883,x36981,x36982)))
% 119.46/119.23 [3725]E(f313(f160(a883),f127(a883,f313(f288(a883,f313(a103,x37251)),x37252))),f292(a883,x37251,x37252))
% 119.46/119.23 [3733]E(f313(f91(a1),f206(f313(a96,f313(f69(a1),x37331)),f313(a96,f313(f69(a1),x37332)))),f313(f313(a207,x37331),x37332))
% 119.46/119.23 [3735]E(f313(f313(f92(f890(x37351,a881)),f313(f72(f890(x37351,a881)),x37352)),x37352),f230(f890(x37351,a881)))
% 119.46/119.23 [3736]E(f313(f313(f93(f890(x37361,a881)),f313(f72(f890(x37361,a881)),x37362)),x37362),f178(f890(x37361,a881)))
% 119.46/119.23 [3752]P1(f313(f313(f222(a883),f313(f313(f3(a883),x37521),x37522)),x37521))
% 119.46/119.23 [3753]P1(f313(f313(f222(a883),f313(f313(f29(a883),x37531),x37532)),x37531))
% 119.46/119.23 [3777]P1(f313(f313(f223(a883),x37771),f313(a103,f313(f313(f73(a883),x37772),x37771))))
% 119.46/119.23 [3778]P1(f313(f313(f223(a883),x37781),f313(a103,f313(f313(f73(a883),x37781),x37782))))
% 119.46/119.23 [3795]E(f313(f313(f74(a883),f313(a96,f313(f69(a1),x37951))),f313(a96,f313(f69(a1),x37952))),f313(a96,f313(f69(a1),f313(f313(f74(a1),x37951),x37952))))
% 119.46/119.23 [3804]E(f313(f313(f73(a1),f313(f313(f74(a1),x38041),x38042)),f313(f313(f74(a1),x38041),x38042)),f313(f313(f74(a1),f313(f313(f73(a1),x38041),x38041)),x38042))
% 119.46/119.23 [3807]P1(f313(f313(f222(a1),f2(a1)),f313(f313(f232(a1),f313(f69(a1),x38071)),x38072)))
% 119.46/119.23 [3874]E(f313(f271(f885(x38741),f885(x38741),f146(x38741,x38742)),f313(f313(f295(f885(x38741)),f104(x38741)),f178(f890(f885(x38741),a881)))),f313(f313(f295(f885(x38741)),f104(x38741)),f178(f890(f885(x38741),a881))))
% 119.46/119.23 [3893]E(f313(f313(f92(f890(f889(x38931,x38931),a881)),f293(x38931,x38932)),f293(x38931,f178(f890(f889(x38931,x38931),a881)))),f293(x38931,x38932))
% 119.46/119.23 [3905]E(f313(f313(f29(a1),f313(f95(a1),f313(f313(f73(a1),x39051),x39051))),f313(f95(a1),f313(f313(f73(a1),x39052),x39052))),f313(f313(f29(a1),f313(f95(a1),x39051)),f313(f95(a1),x39052)))
% 119.46/119.23 [3967]E(f313(f313(f232(a1),x39671),f313(f95(a883),f313(f313(f73(a1),x39672),x39672))),f313(f313(f79(a1,a1),f313(f313(f232(a1),x39671),f313(f95(a883),x39672))),f313(f313(f20(a1,a1,a1),f74(a1)),f7(a1))))
% 119.46/119.23 [3973]E(f313(f250(f890(x39731,a881)),f313(f313(f9(f890(x39731,a881),f890(x39731,a881),a881),f222(f890(x39731,a881))),x39732)),f313(f294(x39731),x39732))
% 119.46/119.23 [3987]E(f313(f313(f142(a1,a883),a96),f313(f313(f122(a1),f313(f313(f142(a883,a1),f91(a1)),x39871)),f313(f313(f142(a883,a1),f91(a1)),x39872))),f313(f313(f122(a883),x39871),x39872))
% 119.46/119.23 [4016]E(f313(f296(a1,a1,f313(f313(f9(a1,a1,a1),f73(a1)),x40161)),f313(f288(a1,f2(a1)),f313(f313(f3(a1),x40162),x40161))),f313(f288(a1,x40161),x40162))
% 119.46/119.23 [4018]P56(x40181,f313(f313(f3(f890(f889(x40181,x40181),a881)),x40182),f293(x40181,f178(f890(f889(x40181,x40181),a881)))))
% 119.46/119.23 [4036]E(f313(f179(f885(x40361)),f313(f130(f885(x40361),f885(x40361),f122(x40361),f104(x40361)),x40362)),f313(f153(a883),f313(f313(f142(f885(x40361),a883),f179(f885(x40361))),x40362)))
% 119.46/119.23 [4040]P55(x40401,f230(f890(x40401,a881)),f313(f313(f92(f890(f889(x40401,x40401),a881)),x40402),f293(x40401,f178(f890(f889(x40401,x40401),a881)))))
% 119.46/119.23 [4079]P1(f313(f313(f315(f889(x40791,x40791)),f313(f313(f240(x40791,x40791),x40792),x40792)),f293(x40791,f178(f890(f889(x40791,x40791),a881)))))
% 119.46/119.23 [4085]E(f173(a883,f2(a883),f313(f313(f10(a883,a883,a883),a103),f313(f313(f9(a883,a883,a883),f227(a883)),x40851)),x40852),f313(f313(f227(a883),x40852),f313(a103,x40851)))
% 119.46/119.23 [4088]E(f173(a883,f313(a103,x40881),f313(f313(f10(a883,a883,a883),a103),f313(f313(f9(a883,a883,a883),f177(a883)),x40881)),x40882),f313(f313(f177(a883),x40882),f313(a103,x40881)))
% 119.46/119.23 [4091]E(f313(f296(x40911,f885(x40911),f313(f313(f9(x40911,f885(x40911),f885(x40911)),f139(x40911)),f104(x40911))),x40912),f162(x40911,x40912,f313(f313(f295(f885(x40911)),f104(x40911)),f178(f890(f885(x40911),a881)))))
% 119.46/119.23 [4093]E(f313(f313(f92(f890(f889(x40931,x40931),a881)),f313(f313(f275(x40931,x40931,x40931),x40932),f293(x40931,x40932))),f293(x40931,f178(f890(f889(x40931,x40931),a881)))),f293(x40931,x40932))
% 119.46/119.23 [4100]P1(f313(f313(f222(f890(f889(x41001,x41001),a881)),f251(x41001,x41002)),f313(f313(f242(x41001,x41001),x41002),f313(f18(f890(x41001,a881),x41001),x41002))))
% 119.46/119.23 [4103]E(f313(f296(a1,a883,a96),f313(f313(f92(f890(a1,a881)),f313(f296(a883,a1,f91(a1)),x41031)),f313(f296(a883,a1,f91(a1)),x41032))),f313(f313(f92(f890(a883,a881)),x41031),x41032))
% 119.46/119.23 [4104]E(f313(f296(a1,a883,a96),f313(f313(f93(f890(a1,a881)),f313(f296(a883,a1,f91(a1)),x41041)),f313(f296(a883,a1,f91(a1)),x41042))),f313(f313(f93(f890(a883,a881)),x41041),x41042))
% 119.46/119.23 [4107]E(f313(f250(x41071),f313(f313(f10(a881,a881,x41071),a308),f313(f313(f9(x41071,f890(x41071,a881),a881),f315(x41071)),x41072))),f313(f72(f890(x41071,a881)),x41072))
% 119.46/119.23 [4134]E(f313(f130(f885(x41341),f885(x41341),f122(x41341),f104(x41341)),f313(f313(f142(f885(x41341),f885(x41341)),f156(x41341)),f313(f156(f885(x41341)),x41342))),f313(f156(x41341),f313(f130(f885(x41341),f885(x41341),f122(x41341),f104(x41341)),x41342)))
% 119.46/119.23 [4160]E(f313(f313(f33(a883,f890(f889(x41601,x41601),a881)),f230(f890(a883,a881))),f313(f313(f9(a883,f890(f889(x41601,x41601),a881),f890(f889(x41601,x41601),a881)),f171(f889(x41601,x41601),a881)),x41602)),f293(x41601,x41602))
% 119.46/119.23 [4178]E(f78(x41781,f313(f313(f10(f890(x41781,a881),a881,x41781),f313(a310,x41782)),f313(f313(f9(x41781,f890(x41781,a881),f890(x41781,a881)),f295(x41781)),f178(f890(x41781,a881))))),f298(x41781,x41782))
% 119.46/119.23 [4186]E(f313(f179(f885(x41861)),f140(x41861,f313(f130(f885(x41861),f885(x41861),f122(x41861),f104(x41861)),x41862))),f313(f28(x41861),f313(f313(f33(f885(x41861),f890(x41861,a881)),f313(f160(f885(x41861)),x41862)),f160(x41861))))
% 119.46/119.23 [4200]E(f313(f313(f92(f890(f889(x42001,x42001),a881)),x42002),f313(f313(f275(x42001,x42001,x42001),f313(f313(f275(x42001,x42001,x42001),x42002),f293(x42001,x42002))),x42002)),f313(f313(f275(x42001,x42001,x42001),x42002),f293(x42001,x42002)))
% 119.46/119.23 [4222]P1(f313(f313(f222(f890(f889(x42221,x42221),a881)),f313(f313(f275(x42221,x42221,x42221),x42222),f293(x42221,x42222))),f313(f313(f242(x42221,x42221),f313(f267(x42221),x42222)),f313(f18(f890(x42221,a881),x42221),f313(f267(x42221),x42222)))))
% 119.46/119.23 [4263]E(f313(f250(f885(x42631)),f313(f313(f9(f885(x42631),f890(x42631,a881),a881),f313(f313(f10(f890(x42631,a881),f890(f890(x42631,a881),a881),f885(x42631)),f222(f890(x42631,a881))),f160(x42631))),x42632)),f149(x42631,x42632))
% 119.46/119.23 [4274]E(f313(f144(f885(x42741),x42741,f104(x42741),f313(f313(f10(f885(x42741),f890(f885(x42741),f885(x42741)),x42741),f313(f9(f885(x42741),f885(x42741),f885(x42741)),f122(x42741))),f313(f313(f9(x42741,f885(x42741),f885(x42741)),f139(x42741)),f104(x42741)))),x42742),f313(f155(x42741),x42742))
% 119.46/119.23 [4314]P24(f890(x43141,x43142),f890(f889(x43141,x43142),a881),f313(f313(f10(f890(f889(x43141,x43142),a881),f890(f889(x43141,x43142),a881),f890(x43141,x43142)),f250(f889(x43141,x43142))),f313(f313(f10(f890(x43141,f890(x43142,a881)),f890(f889(x43141,x43142),a881),f890(x43141,x43142)),f245(x43141,x43142,a881)),f313(f10(x43142,f890(x43142,a881),x43141),f313(f9(x43142,x43142,a881),a310)))),f230(f890(f890(x43141,x43142),a881)))
% 119.46/119.23 [4319]E(f38(a1,f313(f95(a1),f313(f313(f73(a1),x43191),x43191)),f313(f95(a1),f313(f313(f73(a1),x43192),x43192))),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f38(a1,f313(f95(a1),x43191),f313(f95(a1),x43192))))
% 119.46/119.23 [4362]E(f313(f313(f33(x43621,f890(f889(x43621,x43621),a881)),x43622),f313(f313(f9(x43621,f890(f889(x43621,x43621),a881),f890(f889(x43621,x43621),a881)),f313(f313(f10(f889(x43621,x43621),f890(f890(f889(x43621,x43621),a881),f890(f889(x43621,x43621),a881)),x43621),f295(f889(x43621,x43621))),f313(f313(f20(x43621,x43621,f889(x43621,x43621)),f240(x43621,x43621)),f7(x43621)))),f178(f890(f889(x43621,x43621),a881)))),f251(x43621,x43622))
% 119.46/119.23 [4370]E(f192(x43701,f313(f313(f240(a1,a1),f313(f72(a1),f313(f313(f66(f889(a1,a1),a1,x43701,f239(a1,a1)),f202(x43701)),x43702))),f313(f313(f66(f889(a1,a1),a1,x43701,f244(a1,a1)),f202(x43701)),x43702))),f217(x43701,x43702))
% 119.46/119.23 [4451]E(f313(f250(f890(x44511,a881)),f313(f313(f10(f890(f890(x44511,a881),a881),a881,f890(x44511,a881)),f80(f890(x44511,a881))),f313(f313(f9(f890(x44511,a881),f890(f890(x44511,a881),a881),f890(f890(x44511,a881),a881)),f313(f313(f10(f890(f890(x44511,a881),f890(a881,a881)),f890(f890(f890(x44511,a881),a881),f890(f890(x44511,a881),a881)),f890(x44511,a881)),f20(f890(x44511,a881),a881,a881)),f313(f313(f10(f890(f890(x44511,a881),a881),f890(f890(x44511,a881),f890(a881,a881)),f890(x44511,a881)),f313(f10(a881,f890(a881,a881),f890(x44511,a881)),a311)),f313(f313(f9(f890(x44511,a881),f890(f890(x44511,a881),f890(x44511,a881)),f890(f890(x44511,a881),a881)),f313(f313(f10(f890(f890(x44511,a881),a881),f890(f890(f890(x44511,a881),f890(x44511,a881)),f890(f890(x44511,a881),a881)),f890(x44511,a881)),f10(f890(x44511,a881),a881,f890(x44511,a881))),a310)),f72(f890(x44511,a881)))))),f313(f313(f10(f890(f890(x44511,a881),a881),a881,f890(x44511,a881)),f313(f315(f890(x44511,a881)),x44512)),f294(x44511))))),f313(f294(x44511),f313(f72(f890(x44511,a881)),x44512)))
% 119.46/119.23 [4519]~E(f313(f313(f73(a1),x45191),x45191),f313(f313(f3(a1),f313(f313(f73(a1),x45192),x45192)),a88))
% 119.46/119.23 [4520]~E(f313(f313(f73(a1),x45201),x45201),f313(f313(f3(a1),f313(f313(f73(a1),x45202),x45202)),a88))
% 119.46/119.23 [4524]~P1(f313(f313(f223(a883),f313(f313(f73(a883),x45241),x45242)),x45242))
% 119.46/119.23 [4525]~P1(f313(f313(f223(a883),f313(f313(f73(a883),x45251),x45252)),x45251))
% 119.46/119.23 [3812]E(f313(f313(f3(a883),x38121),f313(f313(f74(a883),f313(f313(f29(a883),x38121),x38122)),x38122)),f38(a883,x38121,x38122))
% 119.46/119.23 [3813]E(f313(f313(f3(a1),x38131),f313(f313(f74(a1),f313(f313(f29(a1),x38131),x38132)),x38132)),f38(a1,x38131,x38132))
% 119.46/119.23 [3845]E(f313(f313(f142(a883,x38451),f313(f152(x38451),x38452)),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(x38451)),x38452)))),x38452)
% 119.46/119.23 [3901]E(f313(f271(x39011,x39011,f293(x39011,f178(f890(f889(x39011,x39011),a881)))),x39012),x39012)
% 119.46/119.23 [4021]E(f293(x40211,f313(f313(f3(f890(f889(x40211,x40211),a881)),x40212),f293(x40211,f178(f890(f889(x40211,x40211),a881))))),f293(x40211,x40212))
% 119.46/119.23 [4022]E(f293(x40221,f313(f313(f92(f890(f889(x40221,x40221),a881)),x40222),f293(x40221,f178(f890(f889(x40221,x40221),a881))))),f293(x40221,x40222))
% 119.46/119.23 [4072]E(f313(f313(f3(a1),f313(f313(f3(a1),f313(f313(f73(a1),x40721),x40721)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x40722),x40722)),a88)),f313(f313(f73(a1),f313(f313(f3(a1),x40721),x40722)),f313(f313(f3(a1),x40721),x40722)))
% 119.46/119.23 [4112]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f73(a1),x41121),x41122)),f313(f313(f73(a1),x41121),x41122))),a88),f313(f313(f73(a1),f313(f313(f73(a1),x41121),x41121)),f313(f313(f3(a1),f313(f313(f73(a1),x41122),x41122)),a88)))
% 119.46/119.23 [4137]E(f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),x41371),x41371)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x41372),x41372)),a88)),f313(f313(f73(a1),f313(f313(f73(a1),x41371),f313(f313(f3(a1),x41372),a88))),f313(f313(f73(a1),x41371),f313(f313(f3(a1),x41372),a88))))
% 119.46/119.23 [4148]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f73(a1),x41481),x41482)),f313(f313(f73(a1),x41481),x41482))),a88),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),x41481),x41481)),a88)),f313(f313(f73(a1),x41482),x41482)))
% 119.46/119.23 [4149]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),x41491),x41492)),f313(f313(f3(a1),x41491),x41492))),a88),f313(f313(f3(a1),f313(f313(f3(a1),f313(f313(f73(a1),x41491),x41491)),a88)),f313(f313(f73(a1),x41492),x41492)))
% 119.46/119.23 [4197]E(f313(f91(a1),f313(f313(f29(a883),f313(f313(f74(a883),f313(a96,f313(f69(a1),x41971))),f313(a96,f313(f69(a1),x41972)))),f206(f313(a96,f313(f69(a1),x41971)),f313(a96,f313(f69(a1),x41972))))),f208(x41971,x41972))
% 119.46/119.23 [4240]E(f313(f313(f247(f889(a90,a90),a90,f889(a90,a90),f889(x42401,f889(a90,a90))),f255(f313(a5,f313(f179(f885(x42401)),x42402)))),f313(f313(f10(x42401,f890(f889(a90,a90),f889(x42401,f889(a90,a90))),a90),f240(x42401,f889(a90,a90))),f313(f313(f10(a883,x42401,a90),f313(f152(x42401),x42402)),a22))),f261(x42401,x42402))
% 119.46/119.23 [4320]E(f313(f130(a883,f885(x43201),f313(f9(f885(x43201),a883,a883),f313(f313(f10(a883,f890(a883,a883),f885(x43201)),f177(a883)),f179(f885(x43201)))),f2(a883)),f313(f156(f885(x43201)),f167(x43201,x43202))),f313(f179(f885(f885(x43201))),f313(f124(f885(x43201),f313(f313(f10(a881,a881,f885(x43201)),a308),f313(f313(f9(f885(x43201),f885(x43201),a881),a310),f104(x43201)))),x43202)))
% 119.46/119.23 [4326]E(f313(f313(f33(a883,f890(x43261,a881)),f230(f890(a883,a881))),f313(f313(f9(a883,f890(a883,f890(x43261,a881)),f890(x43261,a881)),f313(f313(f10(f890(a883,a881),f890(f890(a883,f890(x43261,a881)),f890(x43261,a881)),a883),f33(a883,f890(x43261,a881))),f288(a883,f2(a883)))),x43262)),f313(f313(f33(a883,f890(x43261,a881)),f230(f890(a883,a881))),x43262))
% 119.46/119.23 [4347]P1(f313(f54(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),x43471)),f313(f313(f9(a883,a883,a881),f223(a883)),x43472)))))
% 119.46/119.23 [4459]E(f313(f250(f889(f885(x44591),f885(x44591))),f313(f245(f885(x44591),f885(x44591),a881),f313(f313(f20(f885(x44591),f890(f885(x44591),a881),f890(f885(x44591),a881)),f313(f313(f10(f890(f885(x44591),f890(a881,a881)),f890(f890(f885(x44591),a881),f890(f885(x44591),a881)),f885(x44591)),f20(f885(x44591),a881,a881)),f313(f313(f10(f890(f885(x44591),a881),f890(f885(x44591),f890(a881,a881)),f885(x44591)),f313(f10(a881,f890(a881,a881),f885(x44591)),a312)),f313(f313(f9(f885(x44591),f890(f885(x44591),a883),f890(f885(x44591),a881)),f313(f313(f10(f890(a883,a881),f890(f890(f885(x44591),a883),f890(f885(x44591),a881)),f885(x44591)),f10(a883,a881,f885(x44591))),f313(f313(f10(a883,f890(a883,a881),f885(x44591)),f223(a883)),f179(f885(x44591))))),f179(f885(x44591)))))),f313(f313(f20(f885(x44591),f890(f885(x44591),a881),f890(f885(x44591),a881)),f313(f313(f10(f890(f885(x44591),f890(a881,a881)),f890(f890(f885(x44591),a881),f890(f885(x44591),a881)),f885(x44591)),f20(f885(x44591),a881,a881)),f313(f313(f10(f890(f885(x44591),a881),f890(f885(x44591),f890(a881,a881)),f885(x44591)),f313(f10(a881,f890(a881,a881),f885(x44591)),a311)),f313(f313(f9(f885(x44591),f890(f885(x44591),a883),f890(f885(x44591),a881)),f313(f313(f10(f890(a883,a881),f890(f890(f885(x44591),a883),f890(f885(x44591),a881)),f885(x44591)),f10(a883,a881,f885(x44591))),f313(f313(f10(a883,f890(a883,a881),f885(x44591)),a310),f179(f885(x44591))))),f179(f885(x44591)))))),f313(f313(f9(f885(x44591),f890(f889(f885(x44591),f885(x44591)),a881),f890(f885(x44591),a881)),f313(f313(f10(f890(f885(x44591),f890(f890(f889(f885(x44591),f885(x44591)),a881),a881)),f890(f890(f889(f885(x44591),f885(x44591)),a881),f890(f885(x44591),a881)),f885(x44591)),f9(f885(x44591),f890(f889(f885(x44591),f885(x44591)),a881),a881)),f313(f313(f10(f890(f885(x44591),f889(f885(x44591),f885(x44591))),f890(f885(x44591),f890(f890(f889(f885(x44591),f885(x44591)),a881),a881)),f885(x44591)),f313(f10(f889(f885(x44591),f885(x44591)),f890(f890(f889(f885(x44591),f885(x44591)),a881),a881),f885(x44591)),f315(f889(f885(x44591),f885(x44591))))),f240(f885(x44591),f885(x44591))))),f133(x44591,x44592)))))),f134(x44591,x44592))
% 119.46/119.23 [4140]E(f313(f313(f73(a1),f313(f313(f73(a1),f313(f313(f74(a1),x41401),x41402)),f313(f313(f74(a1),x41401),x41402))),x41402),f313(f313(f74(a1),f313(f313(f3(a1),f313(f313(f73(a1),x41401),x41401)),a88)),x41402))
% 119.46/119.23 [4239]E(f313(a96,f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x42391),x42392)),f178(f890(f889(a883,a883),a881)))))),f313(f313(f3(a883),x42391),x42392))
% 119.46/119.23 [4243]E(f313(f313(f275(x42431,x42431,x42431),f313(f313(f92(f890(f889(x42431,x42431),a881)),x42432),f293(x42431,f178(f890(f889(x42431,x42431),a881))))),f293(x42431,f313(f313(f92(f890(f889(x42431,x42431),a881)),x42432),f293(x42431,f178(f890(f889(x42431,x42431),a881)))))),f293(x42431,x42432))
% 119.46/119.23 [4280]E(f256(x42801,f313(f124(f889(a90,x42801),f313(f245(a90,x42801,a881),f313(f313(f10(a881,f890(x42801,a881),a90),f18(a881,x42801)),f313(f223(a90),f2(a90))))),x42802)),f256(x42801,x42802))
% 119.46/119.23 [4281]E(f254(x42811,f313(f124(f889(a90,x42811),f313(f245(a90,x42811,a881),f313(f313(f10(a881,f890(x42811,a881),a90),f18(a881,x42811)),f313(f223(a90),f2(a90))))),x42812)),f254(x42811,x42812))
% 119.46/119.23 [4283]E(f313(f72(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x42831),x42832)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x42832),x42831)),f178(f890(f889(a883,a883),a881))))))
% 119.46/119.23 [4339]E(f313(f313(f274(f885(a883),x43391),f133(a883,a228)),f313(f313(f9(x43391,f885(f890(x43391,a883)),f885(a883)),f313(f313(f10(f890(f890(x43391,a883),a883),f890(f885(f890(x43391,a883)),f885(a883)),x43391),f142(f890(x43391,a883),a883)),f313(f9(f890(x43391,a883),x43391,a883),f7(f890(x43391,a883))))),x43392)),f141(x43391,x43392))
% 119.46/119.23 [4359]E(f313(f313(f79(a1,a883),f313(f95(a1),f313(f313(f73(a1),x43591),a88))),f313(f313(f20(a1,a883,a883),f313(f313(f9(a1,a883,f890(a883,a883)),f313(f313(f10(a881,f890(a883,f890(a883,a883)),a1),f84(a883)),a183)),f2(a883))),f313(f313(f10(a883,a883,a1),a103),f313(f313(f10(a883,a883,a1),f313(f227(a883),x43592)),a96)))),f313(f313(f227(a883),f313(a103,x43592)),f313(f95(a883),x43591)))
% 119.46/119.23 [4360]E(f313(f313(f79(a1,a883),f313(f95(a1),f313(f313(f73(a1),x43601),a88))),f313(f313(f20(a1,a883,a883),f313(f313(f9(a1,a883,f890(a883,a883)),f313(f313(f10(a881,f890(a883,f890(a883,a883)),a1),f84(a883)),a183)),f313(a103,x43602))),f313(f313(f10(a883,a883,a1),a103),f313(f313(f10(a883,a883,a1),f313(f177(a883),x43602)),a96)))),f313(f313(f177(a883),f313(a103,x43602)),f313(f95(a883),x43601)))
% 119.46/119.23 [4380]E(f313(f130(f885(x43801),f885(x43801),f122(x43801),f104(x43801)),f313(f313(f142(f885(x43801),f885(x43801)),f144(f885(x43801),x43801,f104(x43801),f313(f313(f10(f885(x43801),f890(f885(x43801),f885(x43801)),x43801),f18(f885(x43801),f885(x43801))),f313(f313(f9(x43801,f885(x43801),f885(x43801)),f139(x43801)),f104(x43801))))),x43802)),f313(f313(f142(f885(x43801),x43801),f129(x43801)),f313(f124(f885(x43801),f313(f313(f10(a881,a881,f885(x43801)),a308),f313(f313(f9(f885(x43801),f885(x43801),a881),a310),f104(x43801)))),x43802)))
% 119.46/119.23 [4442]E(f313(f245(a1,a1,a881),f313(f313(f9(a1,f890(a1,a881),f890(a1,a881)),f313(f313(f10(f890(a1,f890(a881,a881)),f890(f890(a1,a881),f890(a1,a881)),a1),f20(a1,a881,a881)),f313(f313(f10(f890(a1,a881),f890(a1,f890(a881,a881)),a1),f313(f10(a881,f890(a881,a881),a1),a311)),f313(f313(f10(f890(a1,a1),f890(a1,a881),a1),f313(f10(a1,a881,a1),f313(a310,x44421))),f313(f313(f10(a1,f890(a1,a1),a1),f73(a1)),f313(f74(a1),x44422)))))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),f313(a316,f313(f313(f223(a1),f2(a1)),x44422))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),f313(f313(f9(a1,a1,a881),f223(a1)),x44422))))),f313(f313(f10(a881,a881,a1),f313(a316,f313(a308,f313(f313(f223(a1),f2(a1)),x44422)))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f223(a1),x44422))),f313(f313(f9(a1,a1,a881),f222(a1)),f2(a1))))))),f42(x44421,x44422))
% 119.46/119.23 [4445]E(f313(f250(x44451),f313(f313(f10(f890(a883,a881),a881,x44451),f80(a883)),f313(f313(f9(x44451,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),x44451),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),x44451),f313(f10(a881,f890(a881,a881),a883),a311)),f313(f313(f9(x44451,f890(a883,x44451),f890(a883,a881)),f313(f313(f10(f890(x44451,a881),f890(f890(a883,x44451),f890(a883,a881)),x44451),f10(x44451,a881,a883)),a310)),f313(f152(x44451),x44452))))),f313(f313(f9(a883,a883,a881),f223(a883)),f313(f179(f885(x44451)),x44452))))),f313(f160(x44451),x44452))
% 119.46/119.23 [4253]E(f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),x42531),a88)),x42532)),f313(f313(f3(a1),f313(f313(f73(a1),x42531),a88)),x42532))),a88),f313(f313(f3(a1),f313(f313(f73(a1),x42531),x42531)),f313(f313(f3(a1),f313(f313(f73(a1),x42532),x42532)),a88)))
% 119.46/119.23 [4375]E(f313(f130(f885(f885(x43751)),f885(f885(x43751)),f122(f885(x43751)),f104(f885(x43751))),f313(f313(f142(f885(x43751),f885(f885(x43751))),f144(f885(f885(x43751)),x43751,f104(f885(x43751)),f313(f18(f890(f885(x43751),f885(f885(x43751))),x43751),f313(f313(f9(f885(x43751),f885(f885(x43751)),f885(f885(x43751))),f139(f885(x43751))),f104(f885(x43751)))))),x43752)),f313(f313(f142(f885(x43751),f885(x43751)),f159(x43751)),f313(f124(f885(x43751),f313(f313(f10(a881,a881,f885(x43751)),a308),f313(f313(f9(f885(x43751),f885(x43751),a881),a310),f104(x43751)))),x43752)))
% 119.46/119.23 [4385]E(f313(f313(f79(a1,a883),f313(f95(a1),f313(f313(f73(a1),x43851),a88))),f313(f313(f20(a1,a883,a883),f313(f313(f9(a1,a883,f890(a883,a883)),f313(f313(f10(a881,f890(a883,f890(a883,a883)),a1),f84(a883)),a183)),f2(a883))),f313(f313(f10(a883,a883,a1),a103),f313(f313(f9(a1,a883,a883),f313(f313(f10(a883,f890(a883,a883),a1),f227(a883)),a96)),x43852)))),f313(f313(f227(a883),f313(f95(a883),x43851)),f313(a103,x43852)))
% 119.46/119.23 [4386]E(f313(f313(f79(a1,a883),f313(f95(a1),f313(f313(f73(a1),x43861),a88))),f313(f313(f20(a1,a883,a883),f313(f313(f9(a1,a883,f890(a883,a883)),f313(f313(f10(a881,f890(a883,f890(a883,a883)),a1),f84(a883)),a183)),f313(a103,x43862))),f313(f313(f10(a883,a883,a1),a103),f313(f313(f9(a1,a883,a883),f313(f313(f10(a883,f890(a883,a883),a1),f177(a883)),a96)),x43862)))),f313(f313(f177(a883),f313(f95(a883),x43861)),f313(a103,x43862)))
% 119.46/119.23 [4374]E(f313(f245(x43741,x43741,a881),f313(f313(f20(x43741,a881,f890(x43741,a881)),f313(f313(f10(f890(x43741,f890(a881,a881)),f890(a881,f890(x43741,a881)),x43741),f9(x43741,a881,a881)),f313(f313(f10(f890(x43741,a881),f890(x43741,f890(a881,a881)),x43741),f313(f10(a881,f890(a881,a881),x43741),a311)),a310))),x43742)),f251(x43741,x43742))
% 119.46/119.23 [4419]E(f313(f313(f29(a883),x44191),f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44192)),f313(f313(f29(a883),x44191),f313(a103,f313(a103,f313(a103,x44192)))))
% 119.46/119.23 [4420]E(f38(a883,x44201,f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44202)),f38(a883,x44201,f313(a103,f313(a103,f313(a103,x44202)))))
% 119.46/119.23 [4421]E(f38(a883,f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44211),x44212),f38(a883,f313(a103,f313(a103,f313(a103,x44211))),x44212))
% 119.46/119.23 [4433]E(f113(f313(x44331,f313(f313(f74(a90),f313(f95(a90),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44332))),f313(f190(x44331),x44332))
% 119.46/119.23 [4434]E(f313(f313(f29(a883),f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),x44341)),x44342),f313(f313(f29(a883),f313(a103,f313(a103,f313(a103,x44341)))),x44342))
% 119.46/119.23 [4486]~E(f116(x44861,x44862,x44863),f110(x44861))
% 119.46/119.23 [4487]~E(f116(x44871,x44872,x44873),f110(x44871))
% 119.46/119.23 [3255]E(f313(f182(x32551,x32552),x32553),f111(x32551,x32552))
% 119.46/119.23 [3274]E(f313(f189(x32741,x32742),x32743),f313(f118(x32741),x32742))
% 119.46/119.23 [3350]E(f313(f313(f142(x33501,x33502),x33503),f104(x33501)),f104(x33502))
% 119.46/119.23 [3390]E(f313(f172(x33901,x33902,x33903),f2(a883)),x33902)
% 119.46/119.23 [3392]E(f313(f313(f169(x33921,x33922),x33923),f104(x33922)),f104(f889(x33921,x33922)))
% 119.46/119.23 [3405]E(f313(f179(f885(x34051)),f157(x34051,x34052,x34053)),x34052)
% 119.46/119.23 [3424]E(f78(x34241,f55(x34241,x34242,x34243)),f313(f56(x34241,x34242),x34243))
% 119.46/119.23 [3428]E(f231(x34281,x34282,f231(x34282,x34281,x34283)),x34283)
% 119.46/119.23 [3448]E(f313(f156(x34481),f157(x34481,x34482,x34483)),f157(x34481,x34482,x34483))
% 119.46/119.23 [3473]E(f128(x34731,x34732,f140(x34731,x34733)),f140(x34731,f128(x34731,x34732,x34733)))
% 119.46/119.23 [3491]E(f313(f239(f885(x34911),f885(x34911)),f154(x34911,x34912,x34913)),f313(f124(x34911,x34912),x34913))
% 119.46/119.23 [3533]E(f313(f313(f139(x35331),x35332),f157(x35331,x35333,x35332)),f157(x35331,f313(a103,x35333),x35332))
% 119.46/119.23 [3565]E(f173(x35651,x35652,x35653,f2(a883)),x35652)
% 119.46/119.23 [3566]E(f19(x35661,x35662,x35663,f2(a90)),x35662)
% 119.46/119.23 [3567]E(f21(x35671,x35672,x35673,f2(a90)),x35672)
% 119.46/119.23 [3574]E(f151(x35741,x35742,x35743,f104(x35741)),f104(x35742))
% 119.46/119.23 [3580]E(f313(f313(f152(x35801),f313(f313(f139(x35801),x35802),x35803)),f2(a883)),x35802)
% 119.46/119.23 [3608]E(f52(x36081,x36082,f104(x36081),x36083),f104(f889(x36081,x36082)))
% 119.46/119.23 [3628]P24(x36281,x36282,x36283,f178(f890(x36281,a881)))
% 119.46/119.23 [3729]E(f253(x37291,x37292,x37293),f313(f240(f890(a90,f890(a881,f887(f884(x37291)))),f889(a90,a90)),f34(x37291)))
% 119.46/119.23 [3786]E(f313(f66(x37861,x37862,x37861,x37863),f25(x37861)),x37863)
% 119.46/119.23 [3959]P1(f313(f313(f315(f889(x39591,x39591)),f313(f313(f240(x39591,x39591),x39592),x39592)),f293(x39591,x39593)))
% 119.46/119.23 [4529]~P1(f313(f313(f315(f889(f885(x45291),f885(x45291))),f313(f313(f240(f885(x45291),f885(x45291)),x45292),f104(x45291))),f133(x45291,x45293)))
% 119.46/119.23 [4530]~P1(f313(f313(f315(f889(f885(x45301),f885(x45301))),f313(f313(f240(f885(x45301),f885(x45301)),x45302),f104(x45301))),f135(x45301,x45303)))
% 119.46/119.23 [4531]~P1(f313(f313(f315(f889(f885(x45311),f885(x45311))),f313(f313(f240(f885(x45311),f885(x45311)),x45312),f104(x45311))),f145(x45311,x45313)))
% 119.46/119.23 [4532]~P1(f313(f313(f315(f889(f885(x45321),f885(x45321))),f313(f313(f240(f885(x45321),f885(x45321)),f104(x45321)),x45322)),f133(x45321,x45323)))
% 119.46/119.23 [4533]~P1(f313(f313(f315(f889(f885(x45331),f885(x45331))),f313(f313(f240(f885(x45331),f885(x45331)),f104(x45331)),x45332)),f145(x45331,x45333)))
% 119.46/119.23 [3325]E(f313(f313(f191(x33251),x33252),x33253),f192(x33251,f205(x33252,x33253)))
% 119.46/119.23 [3378]E(f313(f272(x33781,x33782),f313(f272(x33782,x33781),x33783)),x33783)
% 119.46/119.23 [3400]E(f313(f313(f169(x34001,x34002),f104(x34001)),x34003),f104(f889(x34001,x34002)))
% 119.46/119.23 [3403]E(f164(x34031,x34032,f313(f268(a883),x34033)),f313(f313(f163(x34031),x34033),x34032))
% 119.46/119.23 [3419]E(f313(f252(x34191,x34192),f313(f272(x34192,x34191),x34193)),f313(f270(x34192,x34191),x34193))
% 119.46/119.23 [3421]E(f140(x34211,f313(f124(x34211,x34212),x34213)),f313(f124(x34211,x34212),f140(x34211,x34213)))
% 119.46/119.23 [3422]E(f313(f270(x34221,x34222),f313(f272(x34222,x34221),x34223)),f313(f252(x34222,x34221),x34223))
% 119.46/119.23 [3423]E(f313(f252(x34231,x34232),f313(f272(x34232,x34231),x34233)),f313(f270(x34232,x34231),x34233))
% 119.46/119.23 [3441]E(f313(f124(x34411,x34412),f313(f156(x34411),x34413)),f313(f156(x34411),f313(f124(x34411,x34412),x34413)))
% 119.46/119.23 [3453]E(f313(f313(f126(x34531),x34532),f313(f159(x34531),x34533)),f313(f313(f126(x34531),f313(a103,x34532)),x34533))
% 119.46/119.23 [3469]E(f313(f296(x34691,x34692,x34693),f178(f890(x34691,a881))),f178(f890(x34692,a881)))
% 119.46/119.23 [3470]E(f313(f271(x34701,x34702,x34703),f178(f890(x34701,a881))),f178(f890(x34702,a881)))
% 119.46/119.23 [3471]E(f313(f297(x34711,x34712,x34713),f178(f890(x34712,a881))),f178(f890(x34711,a881)))
% 119.46/119.23 [3472]E(f313(f297(x34721,x34722,x34723),f230(f890(x34722,a881))),f230(f890(x34721,a881)))
% 119.46/119.23 [3497]E(f161(x34971,f313(f313(f139(x34971),x34972),x34973),f104(x34971)),f313(f313(f139(x34971),x34972),x34973))
% 119.46/119.23 [3498]E(f313(f313(f295(x34981),x34982),f313(f160(x34981),x34983)),f313(f160(x34981),f128(x34981,x34982,x34983)))
% 119.46/119.23 [3584]E(f313(f296(f889(x35841,x35842),x35842,f244(x35841,x35842)),x35843),f313(f270(x35841,x35842),x35843))
% 119.46/119.23 [3585]E(f313(f296(f889(x35851,x35852),x35851,f239(x35851,x35852)),x35853),f313(f252(x35851,x35852),x35853))
% 119.46/119.23 [3600]E(f313(f160(x36001),f157(x36001,f313(a103,x36002),x36003)),f313(f313(f295(x36001),x36003),f178(f890(x36001,a881))))
% 119.46/119.23 [3655]E(f313(f313(f240(x36551,x36552),f313(f239(x36551,x36552),x36553)),f313(f244(x36551,x36552),x36553)),x36553)
% 119.46/119.23 [3656]E(f313(f313(f240(x36561,x36562),f313(f239(x36561,x36562),x36563)),f313(f244(x36561,x36562),x36563)),x36563)
% 119.46/119.23 [3663]E(f313(f179(f884(x36631)),f116(x36631,x36632,x36633)),f313(f313(f73(a883),f313(f179(f884(x36631)),x36633)),f313(a103,f2(a883))))
% 119.46/119.23 [3665]E(f313(f313(f245(x36651,x36652,x36651),f18(x36651,x36652)),x36653),f313(f239(x36651,x36652),x36653))
% 119.46/119.23 [3791]E(f313(f66(x37911,x37911,x37912,f25(x37911)),x37913),x37913)
% 119.46/119.23 [3798]E(f313(f313(f122(x37981),f157(x37981,x37982,x37983)),f313(f313(f139(x37981),x37983),f104(x37981))),f313(f313(f139(x37981),x37983),f157(x37981,x37982,x37983)))
% 119.46/119.23 [3968]P1(f313(f313(f222(f890(x39681,a881)),f313(f160(x39681),f313(f124(x39681,x39682),x39683))),f313(f160(x39681),x39683)))
% 119.46/119.23 [4007]P1(f313(f313(f222(f890(x40071,a881)),f313(f160(x40071),f313(f313(f163(x40071),x40072),x40073))),f313(f160(x40071),x40073)))
% 119.46/119.23 [4008]P1(f313(f313(f222(f890(x40081,a881)),f313(f160(x40081),f313(f313(f126(x40081),x40082),x40083))),f313(f160(x40081),x40083)))
% 119.46/119.23 [4012]P1(f313(f313(f222(f890(x40121,a881)),f313(f160(x40121),f164(x40121,x40122,x40123))),f313(f160(x40121),x40122)))
% 119.46/119.23 [4013]P1(f313(f313(f222(f890(x40131,a881)),f313(f160(x40131),f158(x40131,x40132,x40133))),f313(f160(x40131),x40133)))
% 119.46/119.23 [4034]P24(f889(x40341,x40342),f889(x40342,x40341),f313(f245(x40341,x40342,f889(x40342,x40341)),f313(f9(x40342,x40341,f889(x40342,x40341)),f240(x40342,x40341))),x40343)
% 119.46/119.23 [4045]E(f313(f313(f313(f171(f885(x40451),f885(x40451)),f38(a883,x40452,f313(f179(f885(x40451)),x40453))),f155(x40451)),x40453),f313(f313(f313(f171(f885(x40451),f885(x40451)),x40452),f155(x40451)),x40453))
% 119.46/119.23 [4086]E(f313(f66(f885(x40861),f885(x40861),f885(x40861),f313(f313(f171(f885(x40861),f885(x40861)),x40862),f155(x40861))),f313(f313(f171(f885(x40861),f885(x40861)),x40863),f155(x40861))),f313(f313(f171(f885(x40861),f885(x40861)),f313(f313(f73(a883),x40862),x40863)),f155(x40861)))
% 119.46/119.23 [4089]P1(f313(f313(f315(f889(f885(x40891),f885(x40891))),f313(f313(f240(f885(x40891),f885(x40891)),x40892),x40892)),f146(x40891,f293(x40891,x40893))))
% 119.46/119.23 [4226]E(f78(f889(x42261,x42262),f313(f313(f20(f889(x42261,x42262),x42262,a881),f313(f313(f10(x42261,f890(x42262,a881),f889(x42261,x42262)),x42263),f239(x42261,x42262))),f244(x42261,x42262))),f78(f889(x42261,x42262),f313(f245(x42261,x42262,a881),x42263)))
% 119.46/119.23 [4227]E(f83(f889(x42271,x42272),f313(f313(f20(f889(x42271,x42272),x42272,a881),f313(f313(f10(x42271,f890(x42272,a881),f889(x42271,x42272)),x42273),f239(x42271,x42272))),f244(x42271,x42272))),f83(f889(x42271,x42272),f313(f245(x42271,x42272,a881),x42273)))
% 119.46/119.23 [4260]E(f313(f313(f274(f889(a883,x42601),x42601),f305(a883,x42601,a228,x42602)),f313(f313(f20(x42601,x42601,f889(a883,x42601)),f313(f313(f10(a883,f890(x42601,f889(a883,x42601)),x42601),f240(a883,x42601)),x42603)),f7(x42601))),f307(x42601,x42603,x42602))
% 119.46/119.23 [4322]E(f313(f246(x43221,x43221,x43222,x43222,f7(x43221),f7(x43222)),x43223),x43223)
% 119.46/119.23 [4394]E(f313(f130(f885(f885(x43941)),f885(f885(x43941)),f122(f885(x43941)),f104(f885(x43941))),f313(f313(f142(f885(x43941),f885(f885(x43941))),f313(f313(f9(f885(x43941),f885(x43941),f885(f885(x43941))),f313(f313(f10(f890(x43941,f885(x43941)),f890(f885(x43941),f885(f885(x43941))),f885(x43941)),f142(x43941,f885(x43941))),f313(f9(x43941,f885(x43941),f885(x43941)),f139(x43941)))),x43942)),f48(x43941,x43943,x43942))),f48(x43941,f313(a103,x43943),x43942))
% 119.46/119.23 [4450]E(f213(a883,f889(x44501,f884(x44501)),f2(a883),f313(f245(x44501,f884(x44501),a883),f313(f313(f9(x44501,a883,f890(f884(x44501),a883)),f313(f313(f10(f890(f884(x44501),f890(a883,a883)),f890(a883,f890(f884(x44501),a883)),x44501),f9(f884(x44501),a883,a883)),f313(f313(f10(f890(f884(x44501),a883),f890(f884(x44501),f890(a883,a883)),x44501),f313(f10(a883,f890(a883,a883),f884(x44501)),f73(a883))),f313(f313(f9(x44501,f890(f884(x44501),a883),f890(f884(x44501),a883)),f313(f313(f10(f890(a883,a883),f890(f890(f884(x44501),a883),f890(f884(x44501),a883)),x44501),f10(a883,a883,f884(x44501))),f313(f313(f10(a883,f890(a883,a883),x44501),f73(a883)),x44502))),f115(x44501,x44502))))),f71(a883))),f313(f123(x44501),x44503)),f313(f115(x44501,x44502),x44503))
% 119.46/119.23 [4458]E(f313(f313(f79(a1,x44581),f208(f313(f313(f66(f889(a1,a1),a1,x44581,f244(a1,a1)),f202(x44581)),x44582),f313(f313(f66(f889(a1,a1),a1,x44581,f244(a1,a1)),f202(x44581)),x44583))),f313(f313(f20(a1,a1,x44581),f313(f313(f10(a1,f890(a1,x44581),a1),f191(x44581)),f313(f313(f20(a1,a1,a1),f313(f313(f10(a1,f890(a1,a1),a1),f73(a1)),f313(f313(f10(a1,a1,a1),f313(f74(a1),f313(f313(f66(f889(a1,a1),a1,x44581,f239(a1,a1)),f202(x44581)),x44582))),f313(f313(f9(a1,a1,a1),f29(a1)),f313(f313(f66(f889(a1,a1),a1,x44581,f244(a1,a1)),f202(x44581)),x44582))))),f313(f313(f10(a1,a1,a1),f313(f74(a1),f313(f313(f66(f889(a1,a1),a1,x44581,f239(a1,a1)),f202(x44581)),x44583))),f313(f313(f9(a1,a1,a1),f29(a1)),f313(f313(f66(f889(a1,a1),a1,x44581,f244(a1,a1)),f202(x44581)),x44583)))))),f7(a1))),f220(x44581,x44582,x44583))
% 119.46/119.23 [4481]~E(f313(f313(f139(x44811),x44812),x44813),x44813)
% 119.46/119.23 [4482]~E(f313(f313(f139(x44821),x44822),x44823),x44823)
% 119.46/119.23 [4484]~E(f313(f313(f139(x44841),x44842),x44843),f104(x44841))
% 119.46/119.23 [4485]~E(f313(f313(f139(x44851),x44852),x44853),f104(x44851))
% 119.46/119.23 [4490]~E(f313(f313(f295(x44901),x44902),x44903),f178(f890(x44901,a881)))
% 119.46/119.23 [4491]~E(f313(f313(f295(x44911),x44912),x44913),f178(f890(x44911,a881)))
% 119.46/119.23 [4511]~E(f313(f296(x45111,f890(x45111,a881),x45112),x45113),f313(f294(x45111),x45113))
% 119.46/119.23 [3382]E(f313(f313(f147(x33821,f104(x33821)),x33822),x33823),f104(x33821))
% 119.46/119.23 [3383]E(f313(f313(f147(x33831,f104(x33831)),x33832),x33833),f104(x33831))
% 119.46/119.23 [3385]E(f313(f129(x33851),f313(f313(f139(x33851),x33852),x33853)),x33852)
% 119.46/119.23 [3386]E(f313(f159(x33861),f313(f313(f139(x33861),x33862),x33863)),x33863)
% 119.46/119.23 [3427]E(f313(f313(f126(x34271),f71(a883)),f313(f313(f139(x34271),x34272),x34273)),x34273)
% 119.46/119.23 [3459]E(f105(x34591,f313(f313(f126(x34591),x34592),x34593)),f313(f313(f126(x34591),x34592),f105(x34591,x34593)))
% 119.46/119.23 [3460]E(f105(x34601,f313(f313(f126(x34601),x34602),x34603)),f313(f313(f126(x34601),x34602),f105(x34601,x34603)))
% 119.46/119.23 [3462]E(f313(f313(f147(x34621,x34622),x34623),f313(f313(f152(x34621),x34622),x34623)),x34622)
% 119.46/119.23 [3482]E(f313(f313(f295(x34821),x34822),f313(f313(f295(x34821),x34822),x34823)),f313(f313(f295(x34821),x34822),x34823))
% 119.46/119.23 [3494]E(f313(f313(f295(x34941),x34942),f313(f160(x34941),x34943)),f313(f160(x34941),f313(f313(f139(x34941),x34942),x34943)))
% 119.46/119.23 [3495]E(f313(f313(f126(x34951),x34952),f313(f159(x34951),x34953)),f313(f159(x34951),f313(f313(f126(x34951),x34952),x34953)))
% 119.46/119.23 [3496]E(f313(f313(f126(x34961),x34962),f313(f159(x34961),x34963)),f313(f159(x34961),f313(f313(f126(x34961),x34962),x34963)))
% 119.46/119.23 [3507]E(f313(f313(f163(x35071),f71(a883)),f313(f313(f139(x35071),x35072),x35073)),f313(f313(f139(x35071),x35072),f104(x35071)))
% 119.46/119.23 [3550]E(f313(f56(x35501,x35502),f313(f313(f295(x35501),x35503),f178(f890(x35501,a881)))),x35503)
% 119.46/119.23 [3590]E(f313(f313(f73(a883),x35901),f313(f313(f73(a883),x35902),x35903)),f313(f313(f73(a883),x35902),f313(f313(f73(a883),x35901),x35903)))
% 119.46/119.23 [3591]E(f313(f313(f73(a1),x35911),f313(f313(f73(a1),x35912),x35913)),f313(f313(f73(a1),x35912),f313(f313(f73(a1),x35911),x35913)))
% 119.46/119.23 [3596]E(f313(f313(f242(x35961,x35962),f178(f890(x35961,a881))),x35963),f178(f890(f889(x35961,x35962),a881)))
% 119.46/119.23 [3620]E(f313(f313(f92(f890(x36201,a881)),x36202),x36203),f313(f313(f92(f890(x36201,a881)),x36203),x36202))
% 119.46/119.23 [3621]E(f313(f313(f93(f890(x36211,a881)),x36212),x36213),f313(f313(f93(f890(x36211,a881)),x36213),x36212))
% 119.46/119.23 [3623]E(f313(f313(f122(x36231),x36232),f313(f313(f139(x36231),x36233),f104(x36231))),f313(f155(x36231),f313(f313(f139(x36231),x36233),x36232)))
% 119.46/119.23 [3624]E(f313(f313(f122(x36241),f313(f156(x36241),x36242)),f313(f156(x36241),x36243)),f313(f156(x36241),f313(f313(f122(x36241),x36243),x36242)))
% 119.46/119.23 [3634]E(f313(f159(x36341),f313(f313(f163(x36341),f313(a103,x36342)),x36343)),f313(f313(f163(x36341),x36342),f313(f159(x36341),x36343)))
% 119.46/119.23 [3641]P1(f313(f313(f315(x36411),x36412),f313(f313(f295(x36411),x36412),x36413)))
% 119.46/119.23 [3645]E(f313(f313(f32(x36451,f890(x36452,a881)),f178(f890(x36451,a881))),x36453),f230(f890(x36452,a881)))
% 119.46/119.23 [3648]E(f313(f271(x36481,x36481,f251(x36481,x36482)),x36483),f313(f313(f93(f890(x36481,a881)),x36482),x36483))
% 119.46/119.23 [3662]E(f313(f179(f885(x36621)),f313(f313(f139(x36621),x36622),x36623)),f313(f313(f73(a883),f313(f179(f885(x36621)),x36623)),f313(a103,f2(a883))))
% 119.46/119.23 [3667]E(f132(x36671,f313(f313(f122(x36671),x36672),f313(f313(f139(x36671),x36673),f104(x36671)))),x36673)
% 119.46/119.23 [3668]E(f105(x36681,f313(f313(f122(x36681),x36682),f313(f313(f139(x36681),x36683),f104(x36681)))),x36682)
% 119.46/119.23 [3676]E(f313(f313(f122(x36761),f313(f313(f163(x36761),x36762),x36763)),f313(f313(f126(x36761),x36762),x36763)),x36763)
% 119.46/119.23 [3685]E(f313(f313(f3(a883),f313(f313(f73(a883),x36851),x36852)),f313(f313(f73(a883),x36853),x36852)),f313(f313(f3(a883),x36851),x36853))
% 119.46/119.23 [3686]E(f313(f313(f3(a883),f313(f313(f73(a883),x36861),x36862)),f313(f313(f73(a883),x36861),x36863)),f313(f313(f3(a883),x36862),x36863))
% 119.46/119.23 [3692]E(f313(f313(f122(x36921),f313(f156(x36921),x36922)),f313(f313(f139(x36921),x36923),f104(x36921))),f313(f156(x36921),f313(f313(f139(x36921),x36923),x36922)))
% 119.46/119.23 [3694]E(f313(f313(f73(a883),f313(f179(f885(x36941)),x36942)),f313(f179(f885(x36941)),x36943)),f313(f179(f885(x36941)),f313(f313(f122(x36941),x36942),x36943)))
% 119.46/119.23 [3697]E(f313(f313(f73(a883),f313(f179(f885(x36971)),x36972)),f313(f179(f885(x36971)),x36973)),f313(f179(f885(x36971)),f161(x36971,x36972,x36973)))
% 119.46/119.23 [3704]E(f313(f313(f92(f890(x37041,a881)),f313(f160(x37041),x37042)),f313(f160(x37041),x37043)),f313(f160(x37041),f313(f313(f122(x37041),x37042),x37043)))
% 119.46/119.23 [3705]E(f38(a883,f313(f313(f74(a883),x37051),x37052),f313(f313(f74(a883),x37051),x37053)),f313(f313(f74(a883),x37051),f38(a883,x37052,x37053)))
% 119.46/119.23 [3717]E(f313(f313(f163(x37171),f313(f313(f3(a883),x37172),f71(a883))),f313(f159(x37171),x37173)),f313(f159(x37171),f313(f313(f163(x37171),x37172),x37173)))
% 119.46/119.23 [3722]E(f313(f313(f93(f890(x37221,a881)),x37222),f313(f72(f890(x37221,a881)),x37223)),f313(f313(f3(f890(x37221,a881)),x37222),x37223))
% 119.46/119.23 [3723]E(f313(f313(f3(f890(x37231,a881)),x37232),f313(f72(f890(x37231,a881)),x37233)),f313(f313(f93(f890(x37231,a881)),x37232),x37233))
% 119.46/119.23 [3745]E(f313(f313(f242(x37451,x37452),x37453),f313(f18(f890(x37452,a881),x37451),f178(f890(x37452,a881)))),f178(f890(f889(x37451,x37452),a881)))
% 119.46/119.23 [3747]E(f313(f313(f74(a1),f313(f313(f232(a1),x37471),x37472)),f313(f313(f232(a1),x37471),x37473)),f313(f313(f232(a1),x37471),f313(f313(f73(a883),x37472),x37473)))
% 119.46/119.23 [3748]E(f313(f313(f73(a883),f313(f313(f74(a883),x37481),x37482)),f313(f313(f74(a883),x37481),x37483)),f313(f313(f74(a883),x37481),f313(f313(f73(a883),x37482),x37483)))
% 119.46/119.23 [3749]E(f313(f313(f3(a883),f313(f313(f74(a883),x37491),x37492)),f313(f313(f74(a883),x37491),x37493)),f313(f313(f74(a883),x37491),f313(f313(f3(a883),x37492),x37493)))
% 119.46/119.23 [3750]E(f313(f313(f73(a1),f313(f313(f74(a1),x37501),x37502)),f313(f313(f74(a1),x37501),x37503)),f313(f313(f74(a1),x37501),f313(f313(f73(a1),x37502),x37503)))
% 119.46/119.23 [3751]E(f313(f313(f3(a1),f313(f313(f74(a1),x37511),x37512)),f313(f313(f74(a1),x37511),x37513)),f313(f313(f74(a1),x37511),f313(f313(f3(a1),x37512),x37513)))
% 119.46/119.23 [3765]E(f313(f313(f33(x37651,f890(x37652,a881)),x37653),f313(f18(f890(x37652,a881),x37651),f178(f890(x37652,a881)))),f178(f890(x37652,a881)))
% 119.46/119.23 [3767]E(f38(a883,f313(f313(f74(a883),x37671),x37672),f313(f313(f74(a883),x37673),x37672)),f313(f313(f74(a883),f38(a883,x37671,x37673)),x37672))
% 119.46/119.23 [3771]E(f38(a1,f313(f313(f74(a1),x37711),f38(a1,x37712,x37713)),x37713),f38(a1,f313(f313(f74(a1),x37711),x37712),x37713))
% 119.46/119.23 [3772]E(f38(a1,f313(f313(f74(a1),x37721),f38(a1,x37722,x37723)),x37723),f38(a1,f313(f313(f74(a1),x37721),x37722),x37723))
% 119.46/119.23 [3773]E(f38(a1,f313(f313(f3(a1),x37731),f38(a1,x37732,x37733)),x37733),f38(a1,f313(f313(f3(a1),x37731),x37732),x37733))
% 119.46/119.23 [3774]P1(f313(f313(f222(f890(x37741,a881)),x37742),f313(f313(f295(x37741),x37743),x37742)))
% 119.46/119.23 [3849]E(f313(f313(f32(f890(x38491,a881),f890(x38491,a881)),x38492),f313(f92(f890(x38491,a881)),x38493)),f313(f313(f92(f890(x38491,a881)),x38493),f31(f890(x38491,a881),x38492)))
% 119.46/119.23 [3850]E(f313(f313(f33(f890(x38501,a881),f890(x38501,a881)),x38502),f313(f93(f890(x38501,a881)),x38503)),f313(f313(f93(f890(x38501,a881)),x38503),f30(f890(x38501,a881),x38502)))
% 119.46/119.23 [3861]E(f313(f160(x38611),f313(f313(f313(f171(f885(x38611),f885(x38611)),x38612),f155(x38611)),x38613)),f313(f160(x38611),x38613))
% 119.46/119.23 [3865]E(f313(f313(f163(x38651),f313(f179(f885(x38651)),f165(x38651,x38652,x38653))),x38653),f165(x38651,x38652,x38653))
% 119.46/119.23 [3869]E(f313(f179(f885(x38691)),f313(f313(f313(f171(f885(x38691),f885(x38691)),x38692),f155(x38691)),x38693)),f313(f179(f885(x38691)),x38693))
% 119.46/119.23 [3872]E(f313(f313(f245(x38721,x38722,x38722),f313(f18(f890(x38722,x38722),x38721),f7(x38722))),x38723),f313(f244(x38721,x38722),x38723))
% 119.46/119.23 [3878]E(f38(a1,f313(f313(f232(a1),f38(a1,x38781,x38782)),x38783),x38782),f38(a1,f313(f313(f232(a1),x38781),x38783),x38782))
% 119.46/119.23 [3879]E(f38(a1,f313(f313(f3(a1),f38(a1,x38791,x38792)),x38793),x38792),f38(a1,f313(f313(f3(a1),x38791),x38793),x38792))
% 119.46/119.23 [3882]E(f313(f313(f33(f890(f889(x38821,x38822),a881),f890(x38822,a881)),x38823),f270(x38821,x38822)),f313(f270(x38821,x38822),f30(f890(f889(x38821,x38822),a881),x38823)))
% 119.46/119.23 [3883]E(f313(f313(f33(f890(f889(x38831,x38832),a881),f890(x38831,a881)),x38833),f252(x38831,x38832)),f313(f252(x38831,x38832),f30(f890(f889(x38831,x38832),a881),x38833)))
% 119.46/119.23 [3906]E(f313(f66(x39061,x39061,x39061,x39062),f313(f313(f171(x39061,x39061),x39063),x39062)),f313(f313(f171(x39061,x39061),f313(a103,x39063)),x39062))
% 119.46/119.23 [3924]E(f313(f313(f126(x39241),f313(f313(f3(a883),f313(f179(f885(x39241)),x39242)),x39243)),f313(f156(x39241),x39242)),f313(f156(x39241),f313(f313(f163(x39241),x39243),x39242)))
% 119.46/119.23 [3925]E(f313(f313(f163(x39251),f313(f313(f3(a883),f313(f179(f885(x39251)),x39252)),x39253)),f313(f156(x39251),x39252)),f313(f156(x39251),f313(f313(f126(x39251),x39253),x39252)))
% 119.46/119.23 [3927]E(f313(f313(f73(a883),f313(f153(a883),f313(f313(f142(x39271,a883),x39272),x39273))),f313(f179(f885(x39271)),x39273)),f143(x39271,x39272,x39273))
% 119.46/119.23 [3939]E(f313(f313(f313(f171(f885(x39391),f885(x39391)),x39392),f155(x39391)),f313(f155(x39391),x39393)),f313(f155(x39391),f313(f313(f313(f171(f885(x39391),f885(x39391)),x39392),f155(x39391)),x39393)))
% 119.46/119.23 [3946]E(f313(f155(x39461),f313(f313(f313(f171(f885(x39461),f885(x39461)),x39462),f155(x39461)),x39463)),f313(f313(f313(f171(f885(x39461),f885(x39461)),f313(a103,x39462)),f155(x39461)),x39463))
% 119.46/119.23 [3960]P1(f313(f313(f222(a883),f313(f179(f885(x39601)),f313(f124(x39601,x39602),x39603))),f313(f179(f885(x39601)),x39603)))
% 119.46/119.23 [3976]E(f313(f313(f92(f890(f890(x39761,a881),a881)),f313(f294(x39761),x39762)),f313(f296(f890(x39761,a881),f890(x39761,a881),f313(f295(x39761),x39763)),f313(f294(x39761),x39762))),f313(f294(x39761),f313(f313(f295(x39761),x39763),x39762)))
% 119.46/119.23 [4004]P1(f313(f313(f222(a883),f313(f179(f885(x40041)),f165(x40041,x40042,x40043))),f313(f179(f885(x40041)),x40043)))
% 119.46/119.23 [4011]E(f313(f252(x40111,x40112),f313(f250(f889(x40111,x40112)),f313(f245(x40111,x40112,a881),x40113))),f313(f250(x40111),f313(f313(f10(f890(x40112,a881),a881,x40111),f80(x40112)),x40113)))
% 119.46/119.23 [4023]E(f313(f296(a883,a883,f313(f313(f9(a883,a883,a883),f73(a883)),x40231)),f289(a883,x40232,x40233)),f289(a883,f313(f313(f73(a883),x40232),x40231),f313(f313(f73(a883),x40233),x40231)))
% 119.46/119.23 [4037]E(f313(f296(a883,a883,f313(f313(f9(a883,a883,a883),f73(a883)),x40371)),f313(f288(a883,x40372),x40373)),f313(f288(a883,f313(f313(f73(a883),x40372),x40371)),f313(f313(f73(a883),x40373),x40371)))
% 119.46/119.23 [4055]E(f313(f313(f169(x40551,x40552),f313(f313(f142(f889(x40551,x40552),x40551),f239(x40551,x40552)),x40553)),f313(f313(f142(f889(x40551,x40552),x40552),f244(x40551,x40552)),x40553)),x40553)
% 119.46/119.23 [4060]E(f313(f313(f73(a883),f313(f313(f74(a883),x40601),f38(a883,f313(f313(f29(a883),x40602),x40601),x40603))),f38(a883,x40602,x40601)),f38(a883,x40602,f313(f313(f74(a883),x40601),x40603)))
% 119.46/119.23 [4073]E(f313(f313(f122(x40731),x40732),f313(f130(f885(x40731),f885(x40731),f122(x40731),f104(x40731)),x40733)),f313(f130(f885(x40731),f885(x40731),f122(x40731),x40732),x40733))
% 119.46/119.23 [4094]P1(f313(f313(f315(f889(x40941,x40941)),f313(f313(f240(x40941,x40941),x40942),x40942)),f313(f313(f171(f889(x40941,x40941),a881),f2(a883)),x40943)))
% 119.46/119.23 [4099]E(f313(f250(x40991),f313(f313(f10(f890(x40992,a881),a881,x40991),f80(x40992)),f313(f9(x40992,x40991,a881),x40993))),f313(f270(x40992,x40991),f313(f250(f889(x40992,x40991)),f313(f245(x40992,x40991,a881),x40993))))
% 119.46/119.23 [4116]E(f313(f313(f92(f890(x41161,a881)),f313(f313(f33(a883,f890(x41161,a881)),f289(a883,f71(a883),x41162)),x41163)),f313(x41163,f2(a883))),f313(f313(f33(a883,f890(x41161,a881)),f313(f287(a883),x41162)),x41163))
% 119.46/119.23 [4131]E(f313(f130(f885(x41311),f885(x41311),f122(x41311),f104(x41311)),f313(f313(f142(f885(x41311),f885(x41311)),f124(x41311,x41312)),x41313)),f313(f124(x41311,x41312),f313(f130(f885(x41311),f885(x41311),f122(x41311),f104(x41311)),x41313)))
% 119.46/119.23 [4135]E(f313(f244(f885(x41351),f885(x41351)),f154(x41351,x41352,x41353)),f313(f124(x41351,f313(f66(a881,a881,x41351,a308),x41352)),x41353))
% 119.46/119.23 [4180]E(f313(f313(f73(a1),f313(f313(f73(a1),f313(f313(f74(a1),x41801),f313(f313(f29(a1),x41802),x41801))),f38(a1,x41802,x41801))),x41803),f313(f313(f73(a1),x41802),x41803))
% 119.46/119.23 [4215]E(f313(f313(f73(a1),f313(f313(f73(a1),f313(f313(f74(a1),f313(f313(f29(a1),x42151),x42152)),x42152)),f38(a1,x42151,x42152))),x42153),f313(f313(f73(a1),x42151),x42153))
% 119.46/119.23 [4241]E(f78(f889(x42411,x42412),f313(f245(x42411,x42412,a881),f313(f313(f10(f890(x42412,f889(x42411,x42412)),f890(x42412,a881),x42411),f313(f10(f889(x42411,x42412),a881,x42412),x42413)),f240(x42411,x42412)))),f78(f889(x42411,x42412),x42413))
% 119.46/119.23 [4242]E(f83(f889(x42421,x42422),f313(f245(x42421,x42422,a881),f313(f313(f10(f890(x42422,f889(x42421,x42422)),f890(x42422,a881),x42421),f313(f10(f889(x42421,x42422),a881,x42422),x42423)),f240(x42421,x42422)))),f83(f889(x42421,x42422),x42423))
% 119.46/119.23 [4269]P1(f313(f313(f222(f890(x42691,a881)),f30(f890(x42691,a881),f313(f313(f93(f890(f890(x42691,a881),a881)),x42692),x42693))),f313(f313(f93(f890(x42691,a881)),f30(f890(x42691,a881),x42692)),f30(f890(x42691,a881),x42693))))
% 119.46/119.23 [4270]E(f313(f156(x42701),f313(f313(f313(f171(f885(x42701),f885(x42701)),f313(f313(f3(a883),f313(f179(f885(x42701)),x42702)),f38(a883,x42703,f313(f179(f885(x42701)),x42702)))),f155(x42701)),x42702)),f313(f313(f313(f171(f885(x42701),f885(x42701)),x42703),f155(x42701)),f313(f156(x42701),x42702)))
% 119.46/119.23 [4307]P1(f313(f313(f222(a883),f313(f179(f885(x43071)),f313(f313(f126(x43071),f313(f179(f885(x43071)),f165(x43071,x43072,x43073))),x43073))),f313(f179(f885(x43071)),x43073)))
% 119.46/119.23 [4523]~P1(f313(f55(x45231,x45232,f178(f890(x45231,a881))),x45233))
% 119.46/119.23 [4528]~P1(f313(f313(f315(f889(x45281,x45281)),f313(f313(f240(x45281,x45281),x45282),x45283)),f141(x45281,f104(f890(x45281,a883)))))
% 119.46/119.23 [3635]E(f313(f179(f885(x36351)),f313(f313(f163(x36351),x36352),x36353)),f313(f313(f227(a883),f313(f179(f885(x36351)),x36353)),x36352))
% 119.46/119.23 [3636]E(f313(f179(f885(x36361)),f313(f313(f126(x36361),x36362),x36363)),f313(f313(f3(a883),f313(f179(f885(x36361)),x36363)),x36362))
% 119.46/119.23 [3661]E(f313(f179(f885(f885(x36611))),f48(x36611,x36612,x36613)),f313(f313(f232(a883),f313(f179(f885(x36611)),x36613)),x36612))
% 119.46/119.23 [3678]E(f313(f313(f29(a883),f313(f313(f29(a883),x36781),x36782)),x36783),f313(f313(f29(a883),x36781),f313(f313(f74(a883),x36782),x36783)))
% 119.46/119.23 [3679]E(f313(f313(f232(a1),f313(f313(f232(a1),x36791),x36792)),x36793),f313(f313(f232(a1),x36791),f313(f313(f74(a883),x36792),x36793)))
% 119.46/119.23 [3680]E(f313(f313(f74(a883),f313(f313(f74(a883),x36801),x36802)),x36803),f313(f313(f74(a883),x36801),f313(f313(f74(a883),x36802),x36803)))
% 119.46/119.23 [3681]E(f313(f313(f74(a1),f313(f313(f74(a1),x36811),x36812)),x36813),f313(f313(f74(a1),x36811),f313(f313(f74(a1),x36812),x36813)))
% 119.46/119.23 [3682]E(f313(f313(f73(a883),f313(f313(f73(a883),x36821),x36822)),x36823),f313(f313(f73(a883),x36821),f313(f313(f73(a883),x36822),x36823)))
% 119.46/119.23 [3683]E(f313(f313(f73(a1),f313(f313(f73(a1),x36831),x36832)),x36833),f313(f313(f73(a1),x36831),f313(f313(f73(a1),x36832),x36833)))
% 119.46/119.23 [3684]E(f313(f313(f3(a883),f313(f313(f3(a883),x36841),x36842)),x36843),f313(f313(f3(a883),x36841),f313(f313(f73(a883),x36842),x36843)))
% 119.46/119.23 [3703]E(f150(x37031,f313(f313(f139(f890(x37031,a881)),x37032),x37033)),f162(x37031,x37032,f150(x37031,x37033)))
% 119.46/119.23 [3746]E(f313(f313(f3(a883),f313(f313(f3(a883),x37461),x37462)),x37463),f313(f313(f3(a883),f313(f313(f3(a883),x37461),x37463)),x37462))
% 119.46/119.23 [3754]E(f313(f313(f93(f890(x37541,a881)),x37542),f313(f313(f3(f890(x37541,a881)),x37543),x37542)),f178(f890(x37541,a881)))
% 119.46/119.23 [3758]E(f313(f313(f142(a883,x37581),f313(f18(x37581,a883),x37582)),f127(a883,f313(f288(a883,f2(a883)),x37583))),f157(x37581,x37583,x37582))
% 119.46/119.23 [3796]E(f31(f890(x37961,a881),f313(f313(f295(f890(x37961,a881)),x37962),x37963)),f313(f313(f93(f890(x37961,a881)),x37962),f31(f890(x37961,a881),x37963)))
% 119.46/119.23 [3797]E(f30(f890(x37971,a881),f313(f313(f295(f890(x37971,a881)),x37972),x37973)),f313(f313(f92(f890(x37971,a881)),x37972),f30(f890(x37971,a881),x37973)))
% 119.46/119.23 [3799]E(f157(x37991,f313(f179(f885(x37991)),f313(f124(x37991,f313(a310,x37992)),x37993)),x37992),f313(f124(x37991,f313(a310,x37992)),x37993))
% 119.46/119.23 [3801]E(f313(f313(f73(a883),f313(f313(f74(a883),x38011),x38012)),f313(f313(f74(a883),x38013),x38012)),f313(f313(f74(a883),f313(f313(f73(a883),x38011),x38013)),x38012))
% 119.46/119.23 [3802]E(f313(f313(f3(a883),f313(f313(f74(a883),x38021),x38022)),f313(f313(f74(a883),x38023),x38022)),f313(f313(f74(a883),f313(f313(f3(a883),x38021),x38023)),x38022))
% 119.46/119.23 [3803]E(f313(f313(f73(a1),f313(f313(f74(a1),x38031),x38032)),f313(f313(f74(a1),x38033),x38032)),f313(f313(f74(a1),f313(f313(f73(a1),x38031),x38033)),x38032))
% 119.46/119.23 [3805]E(f313(f313(f3(a1),f313(f313(f74(a1),x38051),x38052)),f313(f313(f74(a1),x38053),x38052)),f313(f313(f74(a1),f313(f313(f3(a1),x38051),x38053)),x38052))
% 119.46/119.23 [3806]E(f313(f313(f227(a883),f313(f313(f3(a883),x38061),x38062)),f313(f313(f3(a883),x38063),x38062)),f313(f313(f3(a883),f313(f313(f227(a883),x38061),x38063)),x38062))
% 119.46/119.23 [3826]E(f313(f313(f93(f890(f885(x38261),a881)),f148(x38261,x38262)),f148(x38261,x38263)),f148(x38261,f313(f313(f93(f890(x38261,a881)),x38262),x38263)))
% 119.46/119.23 [3829]E(f313(f313(f92(f890(x38291,a881)),x38292),f313(f313(f3(f890(x38291,a881)),x38293),x38292)),f313(f313(f92(f890(x38291,a881)),x38292),x38293))
% 119.46/119.23 [3830]E(f313(f313(f92(f890(x38301,a881)),x38302),f313(f313(f92(f890(x38301,a881)),x38302),x38303)),f313(f313(f92(f890(x38301,a881)),x38302),x38303))
% 119.46/119.23 [3831]E(f313(f313(f93(f890(x38311,a881)),x38312),f313(f313(f93(f890(x38311,a881)),x38312),x38313)),f313(f313(f93(f890(x38311,a881)),x38312),x38313))
% 119.46/119.23 [3843]E(f313(f313(f275(x38431,x38432,x38432),x38433),f293(x38432,f178(f890(f889(x38432,x38432),a881)))),x38433)
% 119.46/119.23 [3846]E(f313(f313(f92(f890(x38461,a881)),f313(f313(f295(x38461),x38462),f178(f890(x38461,a881)))),x38463),f313(f313(f295(x38461),x38462),x38463))
% 119.46/119.23 [3864]E(f313(f313(f3(a883),f313(f313(f3(a883),f313(a103,x38641)),x38642)),f313(a103,x38643)),f313(f313(f3(a883),f313(f313(f3(a883),x38641),x38642)),x38643))
% 119.46/119.23 [3891]E(f313(f313(f93(f890(f890(x38911,a881),a881)),f313(f294(x38911),x38912)),f313(f294(x38911),x38913)),f313(f294(x38911),f313(f313(f93(f890(x38911,a881)),x38912),x38913)))
% 119.46/119.23 [3894]E(f313(f313(f92(f890(x38941,a881)),f313(f72(f890(x38941,a881)),x38942)),x38943),f313(f72(f890(x38941,a881)),f313(f313(f3(f890(x38941,a881)),x38942),x38943)))
% 119.46/119.23 [3903]E(f313(f313(f295(x39031),x39032),f313(f313(f3(f890(x39031,a881)),x39033),f313(f313(f295(x39031),x39032),f178(f890(x39031,a881))))),f313(f313(f295(x39031),x39032),x39033))
% 119.46/119.23 [3913]P1(f313(f313(f222(f890(x39131,a881)),x39132),f313(f313(f92(f890(x39131,a881)),x39133),x39132)))
% 119.46/119.23 [3914]P1(f313(f313(f222(f890(x39141,a881)),x39142),f313(f313(f92(f890(x39141,a881)),x39142),x39143)))
% 119.46/119.23 [3918]E(f313(f313(f93(f890(x39181,a881)),f313(f72(f890(x39181,a881)),x39182)),f313(f72(f890(x39181,a881)),x39183)),f313(f72(f890(x39181,a881)),f313(f313(f92(f890(x39181,a881)),x39182),x39183)))
% 119.46/119.23 [3919]E(f313(f313(f92(f890(x39191,a881)),f313(f72(f890(x39191,a881)),x39192)),f313(f72(f890(x39191,a881)),x39193)),f313(f72(f890(x39191,a881)),f313(f313(f93(f890(x39191,a881)),x39192),x39193)))
% 119.46/119.23 [3932]P1(f313(f313(f222(f890(x39321,a881)),f313(f160(x39321),x39322)),f313(f160(x39321),f313(f313(f139(x39321),x39323),x39322))))
% 119.46/119.23 [3944]E(f313(f313(f92(f890(x39441,a881)),f313(f313(f3(f890(x39441,a881)),x39442),x39443)),f313(f313(f93(f890(x39441,a881)),x39442),x39443)),x39442)
% 119.46/119.23 [3992]E(f313(f313(f8(x39921,a1),f313(f313(f10(a883,a1,x39921),f91(a1)),x39922)),x39923),f313(f91(a1),f313(f313(f8(x39921,a883),x39922),x39923)))
% 119.46/119.23 [3993]E(f313(f313(f11(x39931,a1),f313(f313(f10(a883,a1,x39931),f91(a1)),x39932)),x39933),f313(f91(a1),f313(f313(f11(x39931,a883),x39932),x39933)))
% 119.46/119.23 [4039]E(f313(f313(f122(x40391),f165(x40391,x40392,x40393)),f313(f313(f126(x40391),f313(f179(f885(x40391)),f165(x40391,x40392,x40393))),x40393)),x40393)
% 119.46/119.23 [4043]E(f313(f72(f890(f889(x40431,x40432),a881)),f313(f313(f242(x40431,x40432),x40433),f313(f18(f890(x40432,a881),x40431),f230(f890(x40432,a881))))),f313(f313(f242(x40431,x40432),f313(f72(f890(x40431,a881)),x40433)),f313(f18(f890(x40432,a881),x40431),f230(f890(x40432,a881)))))
% 119.46/119.23 [4044]E(f313(f72(f890(f889(x40441,x40442),a881)),f313(f313(f242(x40441,x40442),f230(f890(x40441,a881))),f313(f18(f890(x40442,a881),x40441),x40443))),f313(f313(f242(x40441,x40442),f230(f890(x40441,a881))),f313(f18(f890(x40442,a881),x40441),f313(f72(f890(x40442,a881)),x40443))))
% 119.46/119.23 [4095]E(f313(f313(f33(f890(x40951,a881),f890(x40951,a881)),x40952),f313(f313(f9(f890(x40951,a881),f890(x40951,a881),f890(x40951,a881)),f93(f890(x40951,a881))),x40953)),f313(f313(f93(f890(x40951,a881)),f30(f890(x40951,a881),x40952)),x40953))
% 119.46/119.23 [4101]E(f313(f130(f885(x41011),f885(x41011),f122(x41011),f104(x41011)),f313(f313(f139(f885(x41011)),x41012),x41013)),f313(f313(f122(x41011),x41012),f313(f130(f885(x41011),f885(x41011),f122(x41011),f104(x41011)),x41013)))
% 119.46/119.23 [4122]E(f313(f313(f295(f890(x41221,a881)),f313(f271(x41221,x41221,x41222),f313(f313(f295(x41221),x41223),f178(f890(x41221,a881))))),f178(f890(f890(x41221,a881),a881))),f313(f313(f53(x41221),f313(f313(f295(x41221),x41223),f178(f890(x41221,a881)))),x41222))
% 119.46/119.23 [4132]E(f313(f313(f73(a883),f313(f313(f74(a883),x41321),f313(f313(f29(a883),x41322),x41323))),f313(f313(f29(a883),f313(f313(f74(a883),x41321),f38(a883,x41322,x41323))),x41323)),f313(f313(f29(a883),f313(f313(f74(a883),x41321),x41322)),x41323))
% 119.46/119.23 [4133]E(f313(f313(f73(a1),f313(f313(f74(a1),x41331),f313(f313(f29(a1),x41332),x41333))),f313(f313(f29(a1),f313(f313(f74(a1),x41331),f38(a1,x41332,x41333))),x41333)),f313(f313(f29(a1),f313(f313(f74(a1),x41331),x41332)),x41333))
% 119.46/119.23 [4165]E(f313(f313(f3(f890(x41651,a881)),f313(f160(x41651),x41652)),f313(f313(f295(x41651),x41653),f178(f890(x41651,a881)))),f313(f160(x41651),f313(f124(x41651,f313(f313(f10(a881,a881,x41651),a308),f313(a310,x41653))),x41652)))
% 119.46/119.23 [4213]E(f313(f313(f122(x42131),f313(f130(f885(x42131),f885(x42131),f122(x42131),f104(x42131)),x42132)),f313(f130(f885(x42131),f885(x42131),f122(x42131),f104(x42131)),x42133)),f313(f130(f885(x42131),f885(x42131),f122(x42131),f104(x42131)),f313(f313(f122(f885(x42131)),x42132),x42133)))
% 119.46/119.23 [4216]E(f313(f313(f240(f885(x42161),f885(x42161)),f313(f124(x42161,x42162),x42163)),f313(f124(x42161,f313(f66(a881,a881,x42161,a308),x42162)),x42163)),f154(x42161,x42162,x42163))
% 119.46/119.23 [4219]E(f313(f313(f73(a883),f313(f313(f73(a883),f313(f313(f29(a883),x42191),x42192)),f313(f313(f29(a883),x42193),x42192))),f313(f313(f29(a883),f313(f313(f73(a883),f38(a883,x42191,x42192)),f38(a883,x42193,x42192))),x42192)),f313(f313(f29(a883),f313(f313(f73(a883),x42191),x42193)),x42192))
% 119.46/119.23 [4220]E(f313(f313(f73(a1),f313(f313(f73(a1),f313(f313(f29(a1),x42201),x42202)),f313(f313(f29(a1),x42203),x42202))),f313(f313(f29(a1),f313(f313(f73(a1),f38(a1,x42201,x42202)),f38(a1,x42203,x42202))),x42202)),f313(f313(f29(a1),f313(f313(f73(a1),x42201),x42203)),x42202))
% 119.46/119.23 [4273]E(f313(f313(f93(f890(f885(x42731),a881)),f313(f313(f9(f885(x42731),f890(f885(x42731),a881),a881),f315(f885(x42731))),f149(x42731,x42732))),f313(f313(f9(f885(x42731),f890(f885(x42731),a881),a881),f315(f885(x42731))),f149(x42731,x42733))),f148(x42731,f313(f313(f93(f890(x42731,a881)),f313(f313(f9(x42731,f890(x42731,a881),a881),f315(x42731)),x42732)),f313(f313(f9(x42731,f890(x42731,a881),a881),f315(x42731)),x42733))))
% 119.46/119.23 [4284]E(f313(f250(x42841),f313(f313(f20(x42841,a881,a881),f313(f313(f10(a881,f890(a881,a881),x42841),a312),f313(f313(f9(x42841,x42841,a881),a310),x42842))),f313(f313(f9(x42841,f890(x42841,a881),a881),f315(x42841)),x42843))),f313(f313(f295(x42841),x42842),x42843))
% 119.46/119.23 [4285]E(f313(f250(x42851),f313(f313(f20(x42851,a881,a881),f313(f313(f10(a881,f890(a881,a881),x42851),a312),f313(f313(f9(x42851,x42851,a881),a310),x42852))),f313(f313(f9(x42851,f890(x42851,a881),a881),f315(x42851)),x42853))),f313(f313(f295(x42851),x42852),x42853))
% 119.46/119.23 [4305]E(f313(f313(f79(f885(f885(x43051)),f885(f885(x43051))),f47(x43051,x43052)),f313(f313(f20(f885(f885(x43051)),f885(f885(x43051)),f885(f885(x43051))),f313(f313(f10(f885(f885(x43051)),f890(f885(f885(x43051)),f885(f885(x43051))),f885(f885(x43051))),f122(f885(x43051))),f313(f142(f885(x43051),f885(x43051)),f313(f139(x43051),x43053)))),f7(f885(f885(x43051))))),f47(x43051,f313(f313(f139(x43051),x43053),x43052)))
% 119.46/119.23 [4308]E(f313(f250(x43081),f313(f313(f20(x43081,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43081),a312),f313(f313(f9(x43081,f890(x43081,a881),a881),f315(x43081)),x43082))),f313(f313(f9(x43081,f890(x43081,a881),a881),f315(x43081)),x43083))),f313(f313(f92(f890(x43081,a881)),x43082),x43083))
% 119.46/119.23 [4309]E(f313(f250(x43091),f313(f313(f20(x43091,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43091),a311),f313(f313(f9(x43091,f890(x43091,a881),a881),f315(x43091)),x43092))),f313(f313(f9(x43091,f890(x43091,a881),a881),f315(x43091)),x43093))),f313(f313(f93(f890(x43091,a881)),x43092),x43093))
% 119.46/119.23 [4397]E(f313(f313(f33(x43971,f890(f890(x43971,a881),a881)),x43972),f313(f313(f9(x43971,f890(f890(x43971,a881),a881),f890(f890(x43971,a881),a881)),f313(f313(f10(f890(x43971,a881),f890(f890(f890(x43971,a881),a881),f890(f890(x43971,a881),a881)),x43971),f295(f890(x43971,a881))),f313(f313(f10(f890(x43971,a881),f890(x43971,a881),x43971),f271(x43971,x43971,x43973)),f313(f313(f9(x43971,f890(x43971,a881),f890(x43971,a881)),f295(x43971)),f178(f890(x43971,a881)))))),f178(f890(f890(x43971,a881),a881)))),f313(f313(f53(x43971),x43972),x43973))
% 119.46/119.23 [4399]E(f313(f313(f191(x43991),f313(f313(f74(a1),f313(f313(f66(f889(a1,a1),a1,x43991,f239(a1,a1)),f202(x43991)),x43992)),f313(f313(f66(f889(a1,a1),a1,x43991,f239(a1,a1)),f202(x43991)),x43993))),f313(f313(f74(a1),f313(f313(f66(f889(a1,a1),a1,x43991,f244(a1,a1)),f202(x43991)),x43992)),f313(f313(f66(f889(a1,a1),a1,x43991,f244(a1,a1)),f202(x43991)),x43993))),f218(x43991,x43992,x43993))
% 119.46/119.23 [4402]E(f313(f250(f885(x44021)),f313(f313(f20(f885(x44021),a881,a881),f313(f313(f10(a881,f890(a881,a881),f885(x44021)),a311),f313(f313(f9(f885(x44021),a883,a881),f313(f313(f10(a883,f890(a883,a881),f885(x44021)),a310),f179(f885(x44021)))),x44022))),f313(f313(f9(f885(x44021),f890(x44021,a881),a881),f313(f313(f10(f890(x44021,a881),f890(f890(x44021,a881),a881),f885(x44021)),f222(f890(x44021,a881))),f160(x44021))),f313(f160(x44021),x44023)))),f313(f160(f885(x44021)),f48(x44021,x44022,x44023)))
% 119.46/119.23 [3819]E(f38(a883,f313(f313(f73(a883),f313(f313(f74(a883),x38191),x38192)),x38193),x38192),f38(a883,x38193,x38192))
% 119.46/119.23 [3863]E(f127(a883,f313(f288(a883,f313(f313(f73(a883),x38631),x38632)),x38633)),f313(f313(f126(a883),x38632),f127(a883,f313(f288(a883,x38631),x38633))))
% 119.46/119.23 [3902]E(f313(f313(f73(a1),f313(f91(a1),x39021)),f313(f313(f73(a1),f313(f91(a1),x39022)),x39023)),f313(f313(f73(a1),f313(f91(a1),f313(f313(f73(a883),x39021),x39022))),x39023))
% 119.46/119.23 [3909]E(f313(f313(f3(f890(x39091,a881)),f313(f313(f3(f890(x39091,a881)),x39092),x39093)),x39093),f313(f313(f3(f890(x39091,a881)),x39092),x39093))
% 119.46/119.23 [3910]E(f313(f313(f92(f890(x39101,a881)),f313(f313(f3(f890(x39101,a881)),x39102),x39103)),x39103),f313(f313(f92(f890(x39101,a881)),x39102),x39103))
% 119.46/119.23 [3933]E(f313(f313(f275(x39331,x39331,x39332),f293(x39331,f178(f890(f889(x39331,x39331),a881)))),x39333),x39333)
% 119.46/119.23 [3941]E(f313(f313(f92(f890(x39411,a881)),f313(f267(x39411),x39412)),f313(f267(x39411),x39413)),f313(f267(x39411),f313(f313(f92(f890(f889(x39411,x39411),a881)),x39412),x39413)))
% 119.46/119.23 [3951]E(f254(x39511,f313(f313(f139(f889(a90,x39511)),f313(f313(f240(a90,x39511),f2(a90)),x39512)),x39513)),f254(x39511,x39513))
% 119.46/119.23 [3953]E(f313(f313(f93(f890(x39531,a881)),f31(f890(x39531,a881),x39532)),f31(f890(x39531,a881),x39533)),f31(f890(x39531,a881),f313(f313(f92(f890(f890(x39531,a881),a881)),x39532),x39533)))
% 119.46/119.23 [3954]E(f313(f313(f92(f890(x39541,a881)),f30(f890(x39541,a881),x39542)),f30(f890(x39541,a881),x39543)),f30(f890(x39541,a881),f313(f313(f92(f890(f890(x39541,a881),a881)),x39542),x39543)))
% 119.46/119.23 [3989]E(f313(f313(f275(x39891,x39891,x39891),f313(f313(f171(f889(x39891,x39891),a881),x39892),x39893)),x39893),f313(f313(f171(f889(x39891,x39891),a881),f313(a103,x39892)),x39893))
% 119.46/119.23 [4031]P1(f313(f313(f222(f890(x40311,a881)),f313(f313(f3(f890(x40311,a881)),x40312),x40313)),x40312))
% 119.46/119.23 [4032]P1(f313(f313(f222(f890(x40321,a881)),f313(f313(f93(f890(x40321,a881)),x40322),x40323)),x40323))
% 119.46/119.23 [4033]P1(f313(f313(f222(f890(x40331,a881)),f313(f313(f93(f890(x40331,a881)),x40332),x40333)),x40332))
% 119.46/119.23 [4057]E(f293(x40571,f313(f313(f92(f890(f889(x40571,x40571),a881)),f293(x40571,x40572)),f293(x40571,x40573))),f293(x40571,f313(f313(f92(f890(f889(x40571,x40571),a881)),x40572),x40573)))
% 119.46/119.23 [4061]E(f30(f890(x40611,a881),f313(f313(f295(f890(x40611,a881)),x40612),f313(f313(f295(f890(x40611,a881)),x40613),f178(f890(f890(x40611,a881),a881))))),f313(f313(f92(f890(x40611,a881)),x40612),x40613))
% 119.46/119.23 [4062]E(f31(f890(x40621,a881),f313(f313(f295(f890(x40621,a881)),x40622),f313(f313(f295(f890(x40621,a881)),x40623),f178(f890(f890(x40621,a881),a881))))),f313(f313(f93(f890(x40621,a881)),x40622),x40623))
% 119.46/119.23 [4067]E(f313(f313(f275(x40671,x40671,x40671),f313(f313(f171(f889(x40671,x40671),a881),x40672),x40673)),x40673),f313(f313(f275(x40671,x40671,x40671),x40673),f313(f313(f171(f889(x40671,x40671),a881),x40672),x40673)))
% 119.46/119.23 [4136]E(f313(f313(f92(f890(x41361,a881)),f313(f250(x41361),f313(f313(f9(x41361,x41361,a881),a310),x41362))),x41363),f313(f313(f295(x41361),x41362),x41363))
% 119.46/119.23 [4138]E(f313(a96,f313(f313(f8(x41381,a1),f313(f313(f10(a883,a1,x41381),f91(a1)),x41382)),x41383)),f313(f313(f8(x41381,a883),x41382),x41383))
% 119.46/119.23 [4139]E(f313(a96,f313(f313(f11(x41391,a1),f313(f313(f10(a883,a1,x41391),f91(a1)),x41392)),x41393)),f313(f313(f11(x41391,a883),x41392),x41393))
% 119.46/119.23 [4210]E(f313(f144(f885(x42101),x42101,f313(f159(x42101),x42102),f313(f18(f890(f885(x42101),f885(x42101)),x42101),f313(f313(f9(f885(x42101),f885(x42101),f885(x42101)),f122(x42101)),x42102))),x42103),f313(f159(x42101),f313(f313(f122(x42101),x42103),x42102)))
% 119.46/119.23 [4238]P1(f313(f313(f222(f890(f890(x42381,a881),a881)),f313(f313(f92(f890(f890(x42381,a881),a881)),f313(f294(x42381),x42382)),f313(f294(x42381),x42383))),f313(f294(x42381),f313(f313(f92(f890(x42381,a881)),x42382),x42383))))
% 119.46/119.23 [4327]E(f313(f250(x43271),f313(f313(f20(x43271,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43271),a311),f313(f313(f9(x43271,f890(x43271,a881),a881),f315(x43271)),x43272))),f313(f313(f10(a881,a881,x43271),a308),f313(f313(f9(x43271,f890(x43271,a881),a881),f315(x43271)),x43273)))),f313(f313(f3(f890(x43271,a881)),x43272),x43273))
% 119.46/119.23 [4350]E(f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,a883,a881),f223(a883)),f313(f179(f885(x43501)),x43502)))),f313(f313(f10(x43501,a881,a883),x43503),f313(f152(x43501),x43502))))),f313(f179(f885(x43501)),f313(f124(x43501,x43503),x43502)))
% 119.46/119.23 [4352]E(f313(f179(f885(x43521)),f164(x43521,x43522,x43523)),f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,a883,a881),f223(a883)),f313(f179(f885(x43521)),x43522)))),f313(f313(f9(a883,f890(a883,a881),a881),f315(a883)),x43523)))))
% 119.46/119.23 [4448]E(f313(f313(f93(f890(f889(f885(x44481),f885(x44481)),a881)),f313(f296(f889(f889(x44481,f885(x44481)),f889(x44481,f885(x44481))),f889(f885(x44481),f885(x44481)),f246(f889(x44481,f885(x44481)),f885(x44481),f889(x44481,f885(x44481)),f885(x44481),f313(f245(x44481,f885(x44481),f885(x44481)),f139(x44481)),f313(f245(x44481,f885(x44481),f885(x44481)),f139(x44481)))),f305(x44481,f885(x44481),x44482,f313(f131(x44481,x44482),x44483)))),f313(f250(f889(f885(x44481),f885(x44481))),f313(f245(f885(x44481),f885(x44481),a881),f313(f313(f9(f885(x44481),f890(f885(x44481),a881),f890(f885(x44481),a881)),f313(f313(f10(f890(a881,a881),f890(f890(f885(x44481),a881),f890(f885(x44481),a881)),f885(x44481)),f10(a881,a881,f885(x44481))),f313(f313(f10(a881,f890(a881,a881),f885(x44481)),a311),f313(f313(f9(f885(x44481),a883,a881),f313(f313(f10(a883,f890(a883,a881),f885(x44481)),a310),f179(f885(x44481)))),f313(a103,x44483))))),f313(f313(f9(f885(x44481),a883,a881),f313(f313(f10(a883,f890(a883,a881),f885(x44481)),a310),f179(f885(x44481)))),f313(a103,x44483)))))),f313(f131(x44481,x44482),f313(a103,x44483)))
% 119.46/119.23 [3955]E(f38(a883,f313(a103,f313(f313(f73(a883),f313(f313(f74(a883),x39551),x39552)),x39553)),x39552),f38(a883,f313(a103,x39553),x39552))
% 119.46/119.23 [4198]E(f313(f250(x41981),f313(f313(f20(x41981,a881,a881),f313(f313(f10(a881,f890(a881,a881),x41981),a311),x41982)),x41983)),f313(f313(f93(f890(x41981,a881)),f313(f250(x41981),x41982)),f313(f250(x41981),x41983)))
% 119.46/119.23 [4199]E(f313(f250(x41991),f313(f313(f20(x41991,a881,a881),f313(f313(f10(a881,f890(a881,a881),x41991),a312),x41992)),x41993)),f313(f313(f92(f890(x41991,a881)),f313(f250(x41991),x41992)),f313(f250(x41991),x41993)))
% 119.46/119.23 [4201]E(f313(f313(f122(x42011),f313(f313(f126(x42011),f38(a883,x42012,f313(f179(f885(x42011)),x42013))),x42013)),f313(f313(f163(x42011),f38(a883,x42012,f313(f179(f885(x42011)),x42013))),x42013)),f313(f313(f313(f171(f885(x42011),f885(x42011)),x42012),f155(x42011)),x42013))
% 119.46/119.23 [4207]E(f313(f250(x42071),f313(f313(f20(x42071,a881,a881),f313(f313(f10(a881,f890(a881,a881),x42071),a316),x42072)),x42073)),f313(f313(f92(f890(x42071,a881)),f313(f72(f890(x42071,a881)),f313(f250(x42071),x42072))),f313(f250(x42071),x42073)))
% 119.46/119.23 [4221]E(f313(f313(f73(a883),f313(f179(f885(x42211)),f313(f124(x42211,x42212),x42213))),f313(f179(f885(x42211)),f313(f124(x42211,f313(f313(f10(a881,a881,x42211),a308),x42212)),x42213))),f313(f179(f885(x42211)),x42213))
% 119.46/119.23 [4244]P1(f313(f313(f222(f890(x42441,a881)),f313(f313(f92(f890(x42441,a881)),f31(f890(x42441,a881),x42442)),f31(f890(x42441,a881),x42443))),f31(f890(x42441,a881),f313(f313(f93(f890(f890(x42441,a881),a881)),x42442),x42443))))
% 119.46/119.23 [4258]E(f313(f160(x42581),f313(f124(x42581,f313(f313(f10(a881,a881,x42581),a308),f313(f313(f9(x42581,x42581,a881),a310),x42582))),x42583)),f313(f313(f3(f890(x42581,a881)),f313(f160(x42581),x42583)),f313(f313(f295(x42581),x42582),f178(f890(x42581,a881)))))
% 119.46/119.23 [4267]P1(f313(f313(f222(f890(f889(x42671,x42671),a881)),f313(f313(f92(f890(f889(x42671,x42671),a881)),f293(x42671,x42672)),f293(x42671,x42673))),f293(x42671,f313(f313(f92(f890(f889(x42671,x42671),a881)),x42672),x42673))))
% 119.46/119.23 [4290]E(f313(f313(f74(a883),f313(a103,f313(a103,f2(a883)))),f313(f313(f8(a883,a883),f313(f313(f10(a883,a883,a883),f313(f73(a883),x42901)),f313(f313(f9(a883,a883,a883),f74(a883)),x42902))),f313(f268(a883),x42903))),f313(f313(f74(a883),x42903),f313(f313(f73(a883),x42901),f313(f313(f73(a883),x42901),f313(f313(f74(a883),f313(f313(f3(a883),x42903),f71(a883))),x42902)))))
% 119.46/119.23 [4300]E(f313(f250(x43001),f313(f313(f20(x43001,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43001),a311),f313(f313(f9(x43001,f890(x43001,a881),a881),f315(x43001)),f313(f160(x43001),x43002)))),x43003)),f313(f160(x43001),f313(f124(x43001,x43003),x43002)))
% 119.46/119.23 [4447]E(f313(f250(x44471),f313(f313(f10(f890(a883,a881),a881,x44471),f80(a883)),f313(f313(f9(x44471,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),x44471),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),x44471),f313(f10(a881,f890(a881,a881),a883),a311)),f313(f313(f9(x44471,f890(a883,x44471),f890(a883,a881)),f313(f313(f10(f890(x44471,a881),f890(f890(a883,x44471),f890(a883,a881)),x44471),f10(x44471,a881,a883)),a310)),f313(f152(x44471),x44472))))),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,a883,a881),f223(a883)),f313(f179(f885(x44471)),x44472)))),f313(f313(f9(a883,f890(a883,a881),a881),f315(a883)),x44473))))),f313(f160(x44471),f164(x44471,x44472,x44473)))
% 119.46/119.23 [4340]E(f313(f250(x43401),f313(f313(f20(x43401,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43401),a316),f313(f313(f10(a881,a881,x43401),a308),f313(f313(f9(x43401,x43401,a881),a310),x43402)))),x43403)),f313(f313(f295(x43401),x43402),f313(f250(x43401),x43403)))
% 119.46/119.23 [4371]E(f313(f313(f142(f889(x43711,a883),x43711),f239(x43711,a883)),f313(f124(f889(x43711,a883),f313(f313(f9(f889(x43711,a883),f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),f889(x43711,a883)),f315(a883)),f244(x43711,a883))),x43712)),f313(f313(f169(x43711,a883),x43713),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(x43711)),x43713)))))),f164(x43711,x43713,x43712))
% 119.46/119.23 [4398]E(f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f8(a883,a1),f313(f313(f10(a1,a1,a883),f313(f73(a1),x43981)),f313(f313(f9(a883,a1,a1),f313(f313(f10(a1,f890(a1,a1),a883),f74(a1)),f91(a1))),x43982))),f313(f268(a883),x43983))),f313(f313(f74(a1),f313(f91(a1),x43983)),f313(f313(f73(a1),x43981),f313(f313(f73(a1),x43981),f313(f313(f74(a1),f313(f91(a1),f313(f313(f3(a883),x43983),f71(a883)))),x43982)))))
% 119.46/119.23 [4440]E(f313(f250(f889(x44401,x44402)),f313(f245(x44401,x44402,a881),f313(f313(f9(x44401,f890(f889(x44402,x44401),a881),f890(x44402,a881)),f313(f313(f10(f890(x44402,f890(f890(f889(x44402,x44401),a881),a881)),f890(f890(f889(x44402,x44401),a881),f890(x44402,a881)),x44401),f9(x44402,f890(f889(x44402,x44401),a881),a881)),f313(f313(f10(f890(x44402,f889(x44402,x44401)),f890(x44402,f890(f890(f889(x44402,x44401),a881),a881)),x44401),f313(f10(f889(x44402,x44401),f890(f890(f889(x44402,x44401),a881),a881),x44402),f315(f889(x44402,x44401)))),f313(f9(x44402,x44401,f889(x44402,x44401)),f240(x44402,x44401))))),x44403))),f313(f272(x44402,x44401),x44403))
% 119.46/119.23 [4460]E(f313(f250(f885(x44601)),f313(f313(f10(f890(x44601,a881),a881,f885(x44601)),f80(x44601)),f313(f313(f10(f890(x44601,f890(f885(x44601),a881)),f890(x44601,a881),f885(x44601)),f313(f10(f890(f885(x44601),a881),a881,x44601),f80(f885(x44601)))),f313(f313(f9(f885(x44601),f890(x44601,f890(f885(x44601),a881)),f890(x44601,f890(f885(x44601),a881))),f313(f313(f10(f890(x44601,f890(f890(f885(x44601),a881),f890(f885(x44601),a881))),f890(f890(x44601,f890(f885(x44601),a881)),f890(x44601,f890(f885(x44601),a881))),f885(x44601)),f20(x44601,f890(f885(x44601),a881),f890(f885(x44601),a881))),f313(f313(f10(f890(x44601,f890(f885(x44601),f890(a881,a881))),f890(x44601,f890(f890(f885(x44601),a881),f890(f885(x44601),a881))),f885(x44601)),f313(f10(f890(f885(x44601),f890(a881,a881)),f890(f890(f885(x44601),a881),f890(f885(x44601),a881)),x44601),f20(f885(x44601),a881,a881))),f313(f313(f10(f890(x44601,f890(f885(x44601),a881)),f890(x44601,f890(f885(x44601),f890(a881,a881))),f885(x44601)),f313(f10(f890(f885(x44601),a881),f890(f885(x44601),f890(a881,a881)),x44601),f313(f10(a881,f890(a881,a881),f885(x44601)),a311))),f313(f313(f9(f885(x44601),f890(x44601,f890(f885(x44601),f885(x44601))),f890(x44601,f890(f885(x44601),a881))),f313(f313(f10(f890(f890(f885(x44601),f885(x44601)),f890(f885(x44601),a881)),f890(f890(x44601,f890(f885(x44601),f885(x44601))),f890(x44601,f890(f885(x44601),a881))),f885(x44601)),f10(f890(f885(x44601),f885(x44601)),f890(f885(x44601),a881),x44601)),f313(f313(f10(f890(f885(x44601),a881),f890(f890(f885(x44601),f885(x44601)),f890(f885(x44601),a881)),f885(x44601)),f10(f885(x44601),a881,f885(x44601))),a310))),f139(x44601)))))),f313(f313(f9(x44601,f890(f885(x44601),a881),f890(f885(x44601),a881)),f313(f313(f10(f890(a881,a881),f890(f890(f885(x44601),a881),f890(f885(x44601),a881)),x44601),f10(a881,a881,f885(x44601))),f313(f313(f10(a881,f890(a881,a881),x44601),a311),f313(f313(f9(x44601,f890(x44601,a881),a881),f315(x44601)),x44602)))),f313(f313(f9(f885(x44601),f890(f885(x44601),a881),a881),f315(f885(x44601))),x44603)))))),f162(x44601,x44602,x44603))
% 119.46/119.23 [4457]E(f313(f313(f79(a1,f889(a1,a1)),f313(f313(f3(a1),x44571),x44572)),f313(f313(f9(a1,f889(a1,a1),f889(a1,a1)),f313(f313(f20(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f313(f313(f10(a881,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f84(f889(a1,a1))),f313(f222(a1),f2(a1)))),f313(f240(a1,a1),f313(f313(f73(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x44573)),f71(a1))))),f313(f313(f240(a1,a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x44573)),x44571))),f313(f36(x44572),f313(f313(f240(a1,a1),x44573),x44571)))
% 119.46/119.23 [3523]E(f107(x35231,f313(x35232,x35233),f313(x35234,x35233)),f313(f193(x35231,x35232,x35234),x35233))
% 119.46/119.23 [3575]E(f313(f313(f233(x35751,x35752,x35753),x35754),f2(a883)),x35752)
% 119.46/119.23 [3613]E(f173(x36131,x36132,x36133,f313(a103,x36134)),f313(x36133,x36134))
% 119.46/119.23 [3653]E(f158(x36531,x36532,f158(x36531,x36533,x36534)),f158(x36531,x36533,f158(x36531,x36532,x36534)))
% 119.46/119.23 [3654]E(f116(x36541,x36542,f107(x36541,x36543,x36544)),f107(x36541,f116(x36541,x36542,x36543),x36544))
% 119.46/119.23 [3787]E(f313(f144(x37871,x37872,x37873,x37874),f104(x37872)),x37873)
% 119.46/119.23 [3788]E(f313(f130(x37881,x37882,x37883,x37884),f104(x37882)),x37884)
% 119.46/119.23 [3825]E(f313(f179(f888(x38251,x38252)),f210(x38251,x38252,x38253,x38254)),f2(a883))
% 119.46/119.23 [3848]E(f313(f245(x38481,x38482,x38483),f243(x38481,x38482,x38483,x38484)),x38484)
% 119.46/119.23 [3890]E(f313(f313(f122(x38901),f157(x38901,x38902,x38903)),f157(x38901,x38904,x38903)),f313(f313(f122(x38901),f157(x38901,x38904,x38903)),f157(x38901,x38902,x38903)))
% 119.46/119.23 [3974]E(f313(f313(f247(x39741,x39742,x39743,f889(x39742,x39743)),x39744),f240(x39742,x39743)),x39744)
% 119.46/119.23 [3988]E(f68(x39881,x39882,x39883,x39884,f313(x39883,x39884)),x39883)
% 119.46/119.23 [4250]P42(x42501,x42502,x42503,x42504,f178(f890(x42501,a881)),x42504)
% 119.46/119.23 [4251]P42(x42511,x42512,x42513,x42514,f178(f890(x42511,a881)),x42514)
% 119.46/119.23 [3331]E(f313(f313(f18(x33311,x33312),x33313),x33314),x33313)
% 119.46/119.23 [3603]E(f158(x36031,x36032,f313(f124(x36031,x36033),x36034)),f313(f124(x36031,x36033),f158(x36031,x36032,x36034)))
% 119.46/119.23 [3637]E(f313(f313(f57(x36371,x36372,x36373),x36374),f178(f890(x36371,a881))),x36374)
% 119.46/119.23 [3660]E(f313(f313(f152(x36601),f313(f313(f139(x36601),x36602),x36603)),f313(a103,x36604)),f313(f313(f152(x36601),x36603),x36604))
% 119.46/119.23 [3727]E(f313(f313(x37271,x37272),f313(f172(x37273,x37274,x37271),x37272)),f313(f172(x37273,x37274,x37271),f313(a103,x37272)))
% 119.46/119.23 [3768]E(f243(x37681,x37682,x37683,f313(f245(x37681,x37682,x37683),x37684)),x37684)
% 119.46/119.23 [3823]E(f313(f313(f147(x38231,f313(f313(f139(x38231),x38232),x38233)),f2(a883)),x38234),f313(f313(f139(x38231),x38234),x38233))
% 119.46/119.23 [3833]E(f313(f313(f33(f890(x38331,a881),f890(x38332,a881)),x38333),f296(x38331,x38332,x38334)),f313(f296(x38331,x38332,x38334),f30(f890(x38331,a881),x38333)))
% 119.46/119.23 [3834]E(f313(f313(f33(f890(x38341,a881),f890(x38342,a881)),x38343),f297(x38342,x38341,x38344)),f313(f297(x38342,x38341,x38344),f30(f890(x38341,a881),x38343)))
% 119.46/119.23 [3930]E(f313(f115(x39301,x39302),f116(x39301,x39303,x39304)),f313(f313(f73(a883),f313(f313(f73(a883),f313(x39302,x39303)),f313(f115(x39301,x39302),x39304))),f313(a103,f2(a883))))
% 119.46/119.23 [3950]E(f313(f130(x39501,x39502,f313(f9(x39502,x39501,x39501),x39503),x39504),f313(f156(x39502),f104(x39502))),x39504)
% 119.46/119.23 [4051]E(f213(x40511,f889(x40512,f884(x40512)),x40513,f313(f245(x40512,f884(x40512),x40511),x40514),f313(f123(x40512),f110(x40512))),x40513)
% 119.46/119.23 [4183]E(f313(f245(x41831,x41832,x41833),f313(f313(f10(f890(x41832,f889(x41831,x41832)),f890(x41832,x41833),x41831),f313(f10(f889(x41831,x41832),x41833,x41832),x41834)),f240(x41831,x41832))),x41834)
% 119.46/119.23 [3514]E(f313(f244(x35141,x35142),f313(f313(f240(x35141,x35142),x35143),x35144)),x35144)
% 119.46/119.23 [3515]E(f313(f239(x35151,x35152),f313(f313(f240(x35151,x35152),x35153),x35154)),x35153)
% 119.46/119.23 [3548]E(f313(f179(f885(x35481)),f313(f313(f142(x35482,x35481),x35483),x35484)),f313(f179(f885(x35482)),x35484))
% 119.46/119.23 [3549]E(f313(f179(f885(x35491)),f313(f313(f147(x35491,x35492),x35493),x35494)),f313(f179(f885(x35491)),x35492))
% 119.46/119.23 [3570]E(f313(f313(f126(x35701),f313(a103,x35702)),f313(f313(f139(x35701),x35703),x35704)),f313(f313(f126(x35701),x35702),x35704))
% 119.46/119.23 [3632]E(f313(f313(f163(x36321),x36322),f157(x36321,x36323,x36324)),f157(x36321,f313(f313(f227(a883),x36322),x36323),x36324))
% 119.46/119.23 [3633]E(f313(f313(f126(x36331),x36332),f157(x36331,x36333,x36334)),f157(x36331,f313(f313(f3(a883),x36333),x36332),x36334))
% 119.46/119.23 [3639]E(f313(f313(f295(x36391),x36392),f313(f313(f295(x36391),x36393),x36394)),f313(f313(f295(x36391),x36393),f313(f313(f295(x36391),x36392),x36394)))
% 119.46/119.23 [3642]E(f313(f313(f142(x36421,x36422),x36423),f105(x36421,x36424)),f105(x36422,f313(f313(f142(x36421,x36422),x36423),x36424)))
% 119.46/119.23 [3658]E(f313(f156(x36581),f313(f313(f142(x36582,x36581),x36583),x36584)),f313(f313(f142(x36582,x36581),x36583),f313(f156(x36582),x36584)))
% 119.46/119.23 [3659]E(f313(f313(f142(x36591,x36592),x36593),f313(f159(x36591),x36594)),f313(f159(x36592),f313(f313(f142(x36591,x36592),x36593),x36594)))
% 119.46/119.23 [3674]E(f313(f313(f163(x36741),f313(a103,x36742)),f313(f313(f139(x36741),x36743),x36744)),f313(f313(f139(x36741),x36743),f313(f313(f163(x36741),x36742),x36744)))
% 119.46/119.23 [3677]E(f313(f160(x36771),f313(f313(f142(x36772,x36771),x36773),x36774)),f313(f296(x36772,x36771,x36773),f313(f160(x36772),x36774)))
% 119.46/119.23 [3690]E(f313(f313(f142(x36901,x36902),f313(f18(x36902,x36901),x36903)),x36904),f157(x36902,f313(f179(f885(x36901)),x36904),x36903))
% 119.46/119.23 [3726]E(f19(x37261,x37262,x37263,f313(a5,f313(a103,f313(a22,x37264)))),f313(x37263,x37264))
% 119.46/119.23 [3730]E(f313(f313(f122(x37301),f313(f124(x37301,x37302),x37303)),f313(f124(x37301,x37302),x37304)),f313(f124(x37301,x37302),f313(f313(f122(x37301),x37303),x37304)))
% 119.46/119.23 [3742]E(f140(x37421,f313(f313(f142(x37422,x37421),x37423),f140(x37422,x37424))),f140(x37421,f313(f313(f142(x37422,x37421),x37423),x37424)))
% 119.46/119.23 [3757]E(f313(f272(x37571,x37571),f313(f313(f274(x37572,x37571),x37573),x37574)),f313(f313(f274(x37572,x37571),f313(f272(x37572,x37572),x37573)),x37574))
% 119.46/119.23 [3769]E(f313(f313(f275(x37691,x37692,x37693),x37694),f178(f890(f889(x37692,x37693),a881))),f178(f890(f889(x37691,x37693),a881)))
% 119.46/119.23 [3770]E(f313(f313(f163(x37701),f313(f313(f3(a883),x37702),x37703)),f313(f313(f126(x37701),x37703),x37704)),f313(f313(f126(x37701),x37703),f313(f313(f163(x37701),x37702),x37704)))
% 119.46/119.23 [3789]E(f313(f313(f122(x37891),f157(x37891,x37892,x37893)),f157(x37891,x37894,x37893)),f157(x37891,f313(f313(f73(a883),x37892),x37894),x37893))
% 119.46/119.23 [3790]E(f313(f313(f313(f264(x37901),x37902),x37903),x37904),f313(f240(f890(a90,f890(a881,f887(f884(x37901)))),f889(a90,a90)),f313(f35(x37901),x37902)))
% 119.46/119.23 [3814]E(f31(f890(x38141,a881),f313(f296(x38142,f890(x38141,a881),x38143),x38144)),f313(f313(f32(x38142,f890(x38141,a881)),x38144),x38143))
% 119.46/119.23 [3815]E(f30(f890(x38151,a881),f313(f296(x38152,f890(x38151,a881),x38153),x38154)),f313(f313(f33(x38152,f890(x38151,a881)),x38154),x38153))
% 119.46/119.23 [3816]E(f31(f890(x38161,a881),f313(f296(x38162,f890(x38161,a881),x38163),x38164)),f313(f313(f32(x38162,f890(x38161,a881)),x38164),x38163))
% 119.46/119.23 [3817]E(f30(f890(x38171,a881),f313(f296(x38172,f890(x38171,a881),x38173),x38174)),f313(f313(f33(x38172,f890(x38171,a881)),x38174),x38173))
% 119.46/119.23 [3818]E(f313(f179(f885(f889(x38181,x38182))),f313(f313(f169(x38181,x38182),x38183),x38184)),f313(f313(f227(a883),f313(f179(f885(x38181)),x38183)),f313(f179(f885(x38182)),x38184)))
% 119.46/119.23 [3820]E(f313(f297(x38201,x38202,x38203),f313(f72(f890(x38202,a881)),x38204)),f313(f72(f890(x38201,a881)),f313(f297(x38201,x38202,x38203),x38204)))
% 119.46/119.23 [3868]E(f313(f297(x38681,x38682,x38683),f313(f250(x38682),x38684)),f313(f250(x38681),f313(f313(f10(x38682,a881,x38681),x38684),x38683)))
% 119.46/119.23 [3885]E(f313(f313(f152(x38851),f313(f313(f122(x38851),x38852),f313(f313(f139(x38851),x38853),x38854))),f313(f179(f885(x38851)),x38852)),x38853)
% 119.46/119.23 [3907]E(f313(f296(x39071,x39072,x39073),f313(f297(x39071,x39072,x39073),x39074)),f313(f313(f93(f890(x39072,a881)),x39074),f313(f296(x39071,x39072,x39073),f230(f890(x39071,a881)))))
% 119.46/119.23 [3926]P1(f313(f313(f315(x39261),f313(x39262,x39263)),f313(f296(x39264,x39261,x39262),f230(f890(x39264,a881)))))
% 119.46/119.23 [3934]E(f21(x39341,x39342,x39343,f313(a5,f313(a103,f313(a22,x39344)))),f313(f313(x39343,x39344),f21(x39341,x39342,x39343,x39344)))
% 119.46/119.23 [3938]E(f313(f313(f122(x39381),f157(x39381,x39382,x39383)),f313(f313(f139(x39381),x39383),x39384)),f313(f313(f139(x39381),x39383),f313(f313(f122(x39381),f157(x39381,x39382,x39383)),x39384)))
% 119.46/119.23 [3940]E(f313(f313(f242(x39401,x39402),f313(f160(x39401),x39403)),f313(f18(f890(x39402,a881),x39401),f313(f160(x39402),x39404))),f313(f160(f889(x39401,x39402)),f52(x39401,x39402,x39403,x39404)))
% 119.46/119.23 [3952]E(f143(x39521,x39522,f313(f313(f139(x39521),x39523),x39524)),f313(f313(f73(a883),f313(f313(f73(a883),f313(x39522,x39523)),f143(x39521,x39522,x39524))),f313(a103,f2(a883))))
% 119.46/119.23 [3965]E(f173(f885(x39651),f313(f313(f139(x39651),x39652),x39653),f313(f313(f9(a883,f885(x39651),f885(x39651)),f126(x39651)),x39653),x39654),f313(f313(f126(x39651),x39654),f313(f313(f139(x39651),x39652),x39653)))
% 119.46/119.23 [3966]P24(x39661,f889(x39662,x39661),f317(x39663,x39664,x39662,x39661),f313(f313(f33(x39662,f890(x39661,a881)),x39664),x39663))
% 119.46/119.23 [3975]E(f313(f313(f3(f890(x39751,a881)),f313(f313(f3(f890(x39751,a881)),x39752),x39753)),f313(f313(f295(x39751),x39754),f178(f890(x39751,a881)))),f313(f313(f3(f890(x39751,a881)),x39752),f313(f313(f295(x39751),x39754),x39753)))
% 119.46/119.23 [3986]E(f313(f313(f171(f890(x39861,x39862),f890(x39861,x39862)),x39863),f66(x39862,x39862,x39861,x39864)),f66(x39862,x39862,x39861,f313(f313(f171(x39862,x39862),x39863),x39864)))
% 119.46/119.23 [4056]E(f313(f313(f313(f171(f885(x40561),f885(x40561)),x40562),f155(x40561)),f313(f313(f313(f171(f885(x40561),f885(x40561)),x40563),f155(x40561)),x40564)),f313(f313(f313(f171(f885(x40561),f885(x40561)),f313(f313(f73(a883),x40562),x40563)),f155(x40561)),x40564))
% 119.46/119.23 [4141]P1(f313(f313(f222(f890(x41411,a881)),f313(f160(x41411),f313(f313(f147(x41411,x41412),x41413),x41414))),f313(f313(f295(x41411),x41414),f313(f160(x41411),x41412))))
% 119.46/119.23 [4173]E(f313(f313(f33(f890(x41731,a881),f890(f889(x41731,x41732),a881)),x41733),f313(f313(f9(f890(x41731,a881),f890(x41731,f890(x41732,a881)),f890(f889(x41731,x41732),a881)),f242(x41731,x41732)),x41734)),f313(f313(f242(x41731,x41732),f30(f890(x41731,a881),x41733)),x41734))
% 119.46/119.23 [4209]E(f199(x42091,x42092,x42093,f313(f66(x42092,f890(a90,f890(a90,f890(f889(a90,a90),f890(a90,f884(x42092))))),x42091,f198(x42092)),x42094)),f200(x42091,x42092,x42094,x42093))
% 119.46/119.23 [4224]E(f195(x42241,x42242,x42243,f313(f66(x42242,f890(a90,f890(a90,f890(f889(a90,a90),f890(a90,f884(f887(x42242)))))),x42241,f194(x42242)),x42244)),f196(x42241,x42242,x42244,x42243))
% 119.46/119.23 [4228]P1(f313(f59(x42281,x42282,x42283,x42284,f178(f890(x42281,a881))),x42284))
% 119.46/119.23 [4229]P1(f313(f59(x42291,x42292,x42293,x42294,f178(f890(x42291,a881))),x42294))
% 119.46/119.23 [4268]E(f313(f313(f33(x42681,f890(x42682,a881)),x42683),f313(f313(f9(x42681,f890(x42682,a881),f890(x42682,a881)),f313(f313(f10(x42682,f890(f890(x42682,a881),f890(x42682,a881)),x42681),f295(x42682)),x42684)),f178(f890(x42682,a881)))),f313(f296(x42681,x42682,x42684),x42683))
% 119.46/119.23 [4275]P1(f313(f313(f222(f890(x42751,a881)),f313(f270(x42752,x42751),f313(f313(f93(f890(f889(x42752,x42751),a881)),x42753),x42754))),f313(f313(f93(f890(x42751,a881)),f313(f270(x42752,x42751),x42753)),f313(f270(x42752,x42751),x42754))))
% 119.46/119.23 [4276]P1(f313(f313(f222(f890(x42761,a881)),f313(f252(x42761,x42762),f313(f313(f93(f890(f889(x42761,x42762),a881)),x42763),x42764))),f313(f313(f93(f890(x42761,a881)),f313(f252(x42761,x42762),x42763)),f313(f252(x42761,x42762),x42764))))
% 119.46/119.23 [4336]P1(f313(f313(f222(f890(f889(x43361,x43362),a881)),f313(f296(x43362,f889(x43361,x43362),f317(x43363,x43364,x43361,x43362)),f313(f313(f33(x43361,f890(x43362,a881)),x43364),x43363))),f313(f313(f242(x43361,x43362),x43364),x43363)))
% 119.46/119.23 [4337]E(f313(f109(x43371,f889(x43371,x43372),x43373),f313(f313(f10(f890(x43372,f884(f889(x43371,x43372))),f884(f889(x43371,x43372)),x43371),f109(x43372,f889(x43371,x43372),x43374)),f313(f313(f10(f890(x43372,f889(x43371,x43372)),f890(x43372,f884(f889(x43371,x43372))),x43371),f313(f10(f889(x43371,x43372),f884(f889(x43371,x43372)),x43372),f118(f889(x43371,x43372)))),f240(x43371,x43372)))),f119(x43371,x43372,x43373,x43374))
% 119.46/119.23 [4338]E(f262(x43381,x43382,x43383,f313(f66(x43382,f890(a90,f890(a90,f890(f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x43382)))),f889(a90,a90))))),x43381,f264(x43382)),x43384)),f265(x43381,x43382,x43384,x43383))
% 119.46/119.23 [4377]E(f78(f889(x43771,x43772),f313(f245(x43771,x43772,a881),f313(f313(f9(x43771,f890(x43772,a881),f890(x43772,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x43772,a881),f890(x43772,a881)),x43771),f10(a881,a881,x43772)),f313(f313(f10(a881,f890(a881,a881),x43771),a311),f313(a310,x43773)))),f313(a310,x43774)))),f313(f313(f240(x43771,x43772),x43773),x43774))
% 119.46/119.23 [4378]E(f83(f889(x43781,x43782),f313(f245(x43781,x43782,a881),f313(f313(f9(x43781,f890(x43782,a881),f890(x43782,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x43782,a881),f890(x43782,a881)),x43781),f10(a881,a881,x43782)),f313(f313(f10(a881,f890(a881,a881),x43781),a311),f313(a310,x43783)))),f313(a310,x43784)))),f313(f313(f240(x43781,x43782),x43783),x43784))
% 119.46/119.23 [4449]E(f313(f313(f245(f885(x44491),f885(x44491),f889(f885(x44491),f885(x44491))),f313(f313(f20(f885(x44491),f890(f885(x44491),f889(f885(x44491),f885(x44491))),f890(f885(x44491),f889(f885(x44491),f885(x44491)))),f313(f313(f10(f890(f885(x44491),f890(f889(f885(x44491),f885(x44491)),f889(f885(x44491),f885(x44491)))),f890(f890(f885(x44491),f889(f885(x44491),f885(x44491))),f890(f885(x44491),f889(f885(x44491),f885(x44491)))),f885(x44491)),f20(f885(x44491),f889(f885(x44491),f885(x44491)),f889(f885(x44491),f885(x44491)))),f313(f313(f10(f890(f885(x44491),f889(f885(x44491),f885(x44491))),f890(f885(x44491),f890(f889(f885(x44491),f885(x44491)),f889(f885(x44491),f885(x44491)))),f885(x44491)),f313(f10(f889(f885(x44491),f885(x44491)),f890(f889(f885(x44491),f885(x44491)),f889(f885(x44491),f885(x44491))),f885(x44491)),f313(f84(f889(f885(x44491),f885(x44491))),f313(x44492,x44493)))),f313(f313(f10(f885(x44491),f890(f885(x44491),f889(f885(x44491),f885(x44491))),f885(x44491)),f240(f885(x44491),f885(x44491))),f313(f139(x44491),x44493))))),f313(f313(f9(f885(x44491),f890(f885(x44491),f885(x44491)),f890(f885(x44491),f889(f885(x44491),f885(x44491)))),f313(f313(f10(f890(f885(x44491),f889(f885(x44491),f885(x44491))),f890(f890(f885(x44491),f885(x44491)),f890(f885(x44491),f889(f885(x44491),f885(x44491)))),f885(x44491)),f10(f885(x44491),f889(f885(x44491),f885(x44491)),f885(x44491))),f240(f885(x44491),f885(x44491)))),f313(f139(x44491),x44493)))),f154(x44491,x44492,x44494)),f154(x44491,x44492,f313(f313(f139(x44491),x44493),x44494)))
% 119.46/119.23 [3706]E(f313(f313(f163(x37061),x37062),f313(f313(f163(x37061),x37063),x37064)),f313(f313(f163(x37061),f313(f313(f227(a883),x37062),x37063)),x37064))
% 119.46/119.23 [3707]E(f313(f313(f126(x37071),x37072),f313(f313(f126(x37071),x37073),x37074)),f313(f313(f126(x37071),f313(f313(f73(a883),x37072),x37073)),x37074))
% 119.46/119.23 [3718]E(f313(f313(f122(x37181),f313(f313(f139(x37181),x37182),x37183)),x37184),f313(f313(f139(x37181),x37182),f313(f313(f122(x37181),x37183),x37184)))
% 119.46/119.23 [3719]E(f313(f313(f122(x37191),f313(f313(f122(x37191),x37192),x37193)),x37194),f313(f313(f122(x37191),x37192),f313(f313(f122(x37191),x37193),x37194)))
% 119.46/119.23 [3800]E(f313(f313(f152(x38001),f313(f313(f139(x38001),x38002),x38003)),x38004),f173(x38001,x38002,f313(f152(x38001),x38003),x38004))
% 119.46/119.23 [3809]E(f313(f313(f171(x38091,x38091),x38092),f313(f313(f171(x38091,x38091),x38093),x38094)),f313(f313(f171(x38091,x38091),f313(f313(f74(a883),x38093),x38092)),x38094))
% 119.46/119.23 [3836]E(f313(f313(f92(f890(x38361,a881)),x38362),f313(f313(f295(x38361),x38363),x38364)),f313(f313(f295(x38361),x38363),f313(f313(f92(f890(x38361,a881)),x38362),x38364)))
% 119.46/119.23 [3851]E(f313(f313(f313(f171(x38511,x38511),x38512),x38513),f313(x38513,x38514)),f313(x38513,f313(f313(f313(f171(x38511,x38511),x38512),x38513),x38514)))
% 119.46/119.23 [3859]E(f313(f313(f275(x38591,x38592,x38593),f178(f890(f889(x38591,x38592),a881))),x38594),f178(f890(f889(x38591,x38593),a881)))
% 119.46/119.23 [3873]E(f313(f313(f92(f890(x38731,a881)),f313(f313(f295(x38731),x38732),x38733)),x38734),f313(f313(f295(x38731),x38732),f313(f313(f92(f890(x38731,a881)),x38733),x38734)))
% 119.46/119.23 [3892]E(f313(f28(f889(x38921,x38922)),f313(f313(f242(x38921,x38922),x38923),f313(f18(f890(x38922,a881),x38921),x38924))),f313(f313(f74(a883),f313(f28(x38921),x38923)),f313(f28(x38922),x38924)))
% 119.46/119.23 [3898]E(f313(f313(f93(f890(x38981,a881)),f313(f313(f295(x38981),x38982),x38983)),f313(f313(f295(x38981),x38982),x38984)),f313(f313(f295(x38981),x38982),f313(f313(f93(f890(x38981,a881)),x38983),x38984)))
% 119.46/119.23 [3911]E(f313(f313(f92(f890(x39111,a881)),x39112),f313(f313(f92(f890(x39111,a881)),x39113),x39114)),f313(f313(f92(f890(x39111,a881)),x39113),f313(f313(f92(f890(x39111,a881)),x39112),x39114)))
% 119.46/119.23 [3912]E(f313(f313(f93(f890(x39121,a881)),x39122),f313(f313(f93(f890(x39121,a881)),x39123),x39124)),f313(f313(f93(f890(x39121,a881)),x39123),f313(f313(f93(f890(x39121,a881)),x39122),x39124)))
% 119.46/119.23 [3922]E(f57(x39221,x39222,f313(f313(f10(x39222,f890(x39222,x39222),x39221),x39223),x39224)),f313(f58(x39222,x39221,x39223),x39224))
% 119.46/119.23 [3931]E(f167(x39311,f313(f313(f142(f885(x39312),f885(x39311)),f313(f142(x39312,x39311),x39313)),x39314)),f313(f313(f142(f885(x39312),f885(x39311)),f313(f142(x39312,x39311),x39313)),f167(x39312,x39314)))
% 119.46/119.23 [3948]E(f313(f130(f885(x39481),f885(x39481),f122(x39481),f104(x39481)),f313(f313(f142(x39482,f885(x39481)),x39483),x39484)),f151(x39482,x39481,x39483,x39484))
% 119.46/119.23 [3949]E(f313(f130(f885(x39491),f885(x39491),f122(x39491),f104(x39491)),f313(f313(f142(x39492,f885(x39491)),x39493),x39494)),f151(x39492,x39491,x39493,x39494))
% 119.46/119.23 [4003]E(f313(f66(x40031,x40031,x40031,f313(f313(f171(x40031,x40031),x40032),x40033)),f313(f313(f171(x40031,x40031),x40034),x40033)),f313(f313(f171(x40031,x40031),f313(f313(f73(a883),x40032),x40034)),x40033))
% 119.46/119.23 [4026]E(f313(f313(f93(f890(x40261,a881)),f313(f313(f3(f890(x40261,a881)),x40262),x40263)),f313(f313(f3(f890(x40261,a881)),x40262),x40264)),f313(f313(f3(f890(x40261,a881)),x40262),f313(f313(f92(f890(x40261,a881)),x40263),x40264)))
% 119.46/119.23 [4027]E(f313(f313(f92(f890(x40271,a881)),f313(f313(f3(f890(x40271,a881)),x40272),x40273)),f313(f313(f3(f890(x40271,a881)),x40272),x40274)),f313(f313(f3(f890(x40271,a881)),x40272),f313(f313(f93(f890(x40271,a881)),x40273),x40274)))
% 119.46/119.23 [4028]E(f313(f313(f93(f890(x40281,a881)),f313(f313(f92(f890(x40281,a881)),x40282),x40283)),f313(f313(f92(f890(x40281,a881)),x40282),x40284)),f313(f313(f92(f890(x40281,a881)),x40282),f313(f313(f93(f890(x40281,a881)),x40283),x40284)))
% 119.46/119.23 [4029]E(f313(f313(f3(f890(x40291,a881)),f313(f313(f93(f890(x40291,a881)),x40292),x40293)),f313(f313(f93(f890(x40291,a881)),x40292),x40294)),f313(f313(f93(f890(x40291,a881)),x40292),f313(f313(f3(f890(x40291,a881)),x40293),x40294)))
% 119.46/119.23 [4030]E(f313(f313(f92(f890(x40301,a881)),f313(f313(f93(f890(x40301,a881)),x40302),x40303)),f313(f313(f93(f890(x40301,a881)),x40302),x40304)),f313(f313(f93(f890(x40301,a881)),x40302),f313(f313(f92(f890(x40301,a881)),x40303),x40304)))
% 119.46/119.23 [4035]E(f313(f28(f889(x40351,x40352)),f313(f313(f242(x40351,x40352),f313(f313(f295(x40351),x40353),f178(f890(x40351,a881)))),f313(f18(f890(x40352,a881),x40351),x40354))),f313(f28(x40352),x40354))
% 119.46/119.23 [4070]E(f313(f313(f33(x40701,f890(x40702,a881)),x40703),f313(f313(f10(f890(x40702,a881),f890(x40702,a881),x40701),f72(f890(x40702,a881))),x40704)),f313(f72(f890(x40702,a881)),f313(f313(f32(x40701,f890(x40702,a881)),x40703),x40704)))
% 119.46/119.23 [4071]E(f313(f313(f32(x40711,f890(x40712,a881)),x40713),f313(f313(f10(f890(x40712,a881),f890(x40712,a881),x40711),f72(f890(x40712,a881))),x40714)),f313(f72(f890(x40712,a881)),f313(f313(f33(x40711,f890(x40712,a881)),x40713),x40714)))
% 119.46/119.23 [4087]E(f313(f313(f275(x40871,x40871,x40871),f313(f313(f171(f889(x40871,x40871),a881),x40872),x40873)),f313(f313(f171(f889(x40871,x40871),a881),x40874),x40873)),f313(f313(f171(f889(x40871,x40871),a881),f313(f313(f73(a883),x40872),x40874)),x40873))
% 119.46/119.23 [4117]E(f313(f313(f32(x41171,f890(f890(x41172,a881),a881)),x41173),f313(f313(f10(f890(x41172,a881),f890(f890(x41172,a881),a881),x41171),f294(x41172)),x41174)),f313(f294(x41172),f313(f313(f32(x41171,f890(x41172,a881)),x41173),x41174)))
% 119.46/119.23 [4144]E(f313(f313(f32(f890(x41441,a881),f890(x41442,a881)),x41443),f313(f313(f9(f890(x41441,a881),f890(x41441,f890(x41442,a881)),f890(x41442,a881)),f32(x41441,f890(x41442,a881))),x41444)),f313(f313(f32(x41441,f890(x41442,a881)),f30(f890(x41441,a881),x41443)),x41444))
% 119.46/119.23 [4145]E(f313(f313(f33(f890(x41451,a881),f890(x41452,a881)),x41453),f313(f313(f9(f890(x41451,a881),f890(x41451,f890(x41452,a881)),f890(x41452,a881)),f33(x41451,f890(x41452,a881))),x41454)),f313(f313(f33(x41451,f890(x41452,a881)),f30(f890(x41451,a881),x41453)),x41454))
% 119.46/119.23 [4146]E(f313(f313(f32(f890(x41461,a881),f890(x41462,a881)),x41463),f313(f313(f9(f890(x41461,a881),f890(x41461,f890(x41462,a881)),f890(x41462,a881)),f32(x41461,f890(x41462,a881))),x41464)),f313(f313(f32(x41461,f890(x41462,a881)),f30(f890(x41461,a881),x41463)),x41464))
% 119.46/119.23 [4147]E(f313(f313(f33(f890(x41471,a881),f890(x41472,a881)),x41473),f313(f313(f9(f890(x41471,a881),f890(x41471,f890(x41472,a881)),f890(x41472,a881)),f33(x41471,f890(x41472,a881))),x41474)),f313(f313(f33(x41471,f890(x41472,a881)),f30(f890(x41471,a881),x41473)),x41474))
% 119.46/119.23 [4152]E(f313(f313(f142(x41521,x41522),x41523),f313(f130(f885(x41521),f885(x41521),f122(x41521),f104(x41521)),x41524)),f313(f130(f885(x41522),f885(x41522),f122(x41522),f104(x41522)),f313(f313(f142(f885(x41521),f885(x41522)),f313(f142(x41521,x41522),x41523)),x41524)))
% 119.46/119.23 [4154]E(f173(f885(x41541),f104(x41541),f313(f313(f10(f885(x41541),f885(x41541),a883),f313(f139(x41541),x41542)),f313(f313(f9(a883,f885(x41541),f885(x41541)),f163(x41541)),x41543)),x41544),f313(f313(f163(x41541),x41544),f313(f313(f139(x41541),x41542),x41543)))
% 119.46/119.23 [4192]P1(f313(f313(f222(f890(x41921,a881)),f313(f296(x41922,x41921,x41923),f313(f297(x41922,x41921,x41923),x41924))),x41924))
% 119.46/119.23 [4194]E(f313(f296(f889(x41941,x41942),f889(x41942,x41941),f313(f245(x41941,x41942,f889(x41942,x41941)),f313(f9(x41942,x41941,f889(x41942,x41941)),f240(x41942,x41941)))),f313(f313(f242(x41941,x41942),x41943),f313(f18(f890(x41942,a881),x41941),x41944))),f313(f313(f242(x41942,x41941),x41944),f313(f18(f890(x41941,a881),x41942),x41943)))
% 119.46/119.23 [4203]E(f313(f313(f33(x42031,f890(x42032,a881)),x42033),f313(f313(f10(f890(x42031,a881),f890(x42032,a881),x42031),f271(x42031,x42032,x42034)),f313(f313(f9(x42031,f890(x42031,a881),f890(x42031,a881)),f295(x42031)),f178(f890(x42031,a881))))),f313(f271(x42031,x42032,x42034),x42033))
% 119.46/119.23 [4204]E(f313(f313(f33(x42041,f890(x42042,a881)),x42043),f313(f313(f10(f890(x42041,a881),f890(x42042,a881),x42041),f297(x42042,x42041,x42044)),f313(f313(f9(x42041,f890(x42041,a881),f890(x42041,a881)),f295(x42041)),f178(f890(x42041,a881))))),f313(f297(x42042,x42041,x42044),x42043))
% 119.46/119.23 [4277]E(f313(f313(f122(x42771),f313(f124(x42771,f313(f313(f10(a881,a881,x42771),a308),f313(a310,x42772))),x42773)),f313(f124(x42771,f313(f313(f10(a881,a881,x42771),a308),f313(a310,x42772))),x42774)),f313(f124(x42771,f313(f313(f10(a881,a881,x42771),a308),f313(a310,x42772))),f313(f313(f122(x42771),x42773),x42774)))
% 119.46/119.23 [4289]E(f313(f313(f93(f890(x42891,a881)),f313(f313(f93(f890(x42891,a881)),f313(f313(f92(f890(x42891,a881)),x42892),x42893)),f313(f313(f92(f890(x42891,a881)),x42893),x42894))),f313(f313(f92(f890(x42891,a881)),x42894),x42892)),f313(f313(f92(f890(x42891,a881)),f313(f313(f92(f890(x42891,a881)),f313(f313(f93(f890(x42891,a881)),x42892),x42893)),f313(f313(f93(f890(x42891,a881)),x42893),x42894))),f313(f313(f93(f890(x42891,a881)),x42894),x42892)))
% 119.46/119.23 [4351]E(f313(f130(f885(x43511),f885(x43511),f122(x43511),f104(x43511)),f313(f313(f142(x43512,f885(x43511)),f313(f313(f9(x43512,f885(x43511),f885(x43511)),f313(f313(f10(x43511,f890(f885(x43511),f885(x43511)),x43512),f139(x43511)),x43513)),f104(x43511))),x43514)),f313(f313(f142(x43512,x43511),x43513),x43514))
% 119.46/119.23 [4361]E(f313(f313(f79(a1,x43611),f313(f95(a1),f313(f313(f73(a1),x43612),a88))),f313(f313(f20(a1,x43611,x43611),f313(f313(f9(a1,x43611,f890(x43611,x43611)),f313(f313(f10(a881,f890(x43611,f890(x43611,x43611)),a1),f84(x43611)),a183)),x43613)),f313(f313(f10(a883,x43611,a1),x43614),a96))),f173(x43611,x43613,x43614,f313(f95(a883),x43612)))
% 119.46/119.23 [4392]E(f313(f250(x43921),f313(f313(f10(f890(x43922,a881),a881,x43921),f80(x43922)),f313(f313(f10(f890(x43922,a881),f890(x43922,a881),x43921),f313(f20(x43922,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43922),a311),f313(f313(f9(x43922,f890(x43922,a881),a881),f315(x43922)),x43923)))),f313(f9(x43922,x43921,a881),x43924)))),f313(f271(x43922,x43921,f313(f250(f889(x43922,x43921)),f313(f245(x43922,x43921,a881),x43924))),x43923))
% 119.46/119.23 [4527]~P1(f313(f313(f178(f890(x45271,f890(x45272,a881))),x45273),x45274))
% 119.46/119.23 [3862]E(f313(f313(f152(x38621),f313(f313(f122(x38621),x38622),x38623)),f313(f313(f73(a883),f313(f179(f885(x38621)),x38622)),x38624)),f313(f313(f152(x38621),x38623),x38624))
% 119.46/119.23 [3867]E(f313(f313(f126(x38671),x38672),f313(f313(f163(x38671),f313(f313(f73(a883),x38673),x38672)),x38674)),f313(f313(f163(x38671),x38673),f313(f313(f126(x38671),x38672),x38674)))
% 119.46/119.23 [3963]E(f313(f313(f92(f890(x39631,a881)),f313(f270(x39632,x39631),x39633)),f313(f270(x39632,x39631),x39634)),f313(f270(x39632,x39631),f313(f313(f92(f890(f889(x39632,x39631),a881)),x39633),x39634)))
% 119.46/119.23 [3964]E(f313(f313(f92(f890(x39641,a881)),f313(f252(x39641,x39642),x39643)),f313(f252(x39641,x39642),x39644)),f313(f252(x39641,x39642),f313(f313(f92(f890(f889(x39641,x39642),a881)),x39643),x39644)))
% 119.46/119.23 [3969]E(f313(f313(f3(f890(x39691,a881)),f313(f313(f93(f890(x39691,a881)),x39692),x39693)),x39694),f313(f313(f93(f890(x39691,a881)),x39692),f313(f313(f3(f890(x39691,a881)),x39693),x39694)))
% 119.46/119.23 [3970]E(f313(f313(f92(f890(x39701,a881)),f313(f313(f92(f890(x39701,a881)),x39702),x39703)),x39704),f313(f313(f92(f890(x39701,a881)),x39702),f313(f313(f92(f890(x39701,a881)),x39703),x39704)))
% 119.46/119.23 [3971]E(f313(f313(f93(f890(x39711,a881)),f313(f313(f93(f890(x39711,a881)),x39712),x39713)),x39714),f313(f313(f93(f890(x39711,a881)),x39712),f313(f313(f93(f890(x39711,a881)),x39713),x39714)))
% 119.46/119.23 [4005]E(f313(f313(f92(f890(f889(x40051,x40052),a881)),f313(f272(x40052,x40051),x40053)),f313(f272(x40052,x40051),x40054)),f313(f272(x40052,x40051),f313(f313(f92(f890(f889(x40052,x40051),a881)),x40053),x40054)))
% 119.46/119.23 [4006]E(f313(f313(f93(f890(f889(x40061,x40062),a881)),f313(f272(x40062,x40061),x40063)),f313(f272(x40062,x40061),x40064)),f313(f272(x40062,x40061),f313(f313(f93(f890(f889(x40062,x40061),a881)),x40063),x40064)))
% 119.46/119.23 [4019]E(f313(f313(f92(f890(x40191,f890(x40192,a881))),f231(x40192,x40191,x40193)),f231(x40192,x40191,x40194)),f231(x40192,x40191,f313(f313(f92(f890(x40192,f890(x40191,a881))),x40193),x40194)))
% 119.46/119.23 [4020]E(f313(f313(f93(f890(x40201,f890(x40202,a881))),f231(x40202,x40201,x40203)),f231(x40202,x40201,x40204)),f231(x40202,x40201,f313(f313(f93(f890(x40202,f890(x40201,a881))),x40203),x40204)))
% 119.46/119.23 [4074]E(f313(f313(f92(f890(x40741,a881)),f313(f313(f3(f890(x40741,a881)),x40742),x40743)),f313(f313(f3(f890(x40741,a881)),x40744),x40743)),f313(f313(f3(f890(x40741,a881)),f313(f313(f92(f890(x40741,a881)),x40742),x40744)),x40743))
% 119.46/119.23 [4075]E(f313(f313(f93(f890(x40751,a881)),f313(f313(f92(f890(x40751,a881)),x40752),x40753)),f313(f313(f92(f890(x40751,a881)),x40754),x40753)),f313(f313(f92(f890(x40751,a881)),f313(f313(f93(f890(x40751,a881)),x40752),x40754)),x40753))
% 119.46/119.23 [4076]E(f313(f313(f3(f890(x40761,a881)),f313(f313(f93(f890(x40761,a881)),x40762),x40763)),f313(f313(f93(f890(x40761,a881)),x40764),x40763)),f313(f313(f93(f890(x40761,a881)),f313(f313(f3(f890(x40761,a881)),x40762),x40764)),x40763))
% 119.46/119.23 [4077]E(f313(f313(f92(f890(x40771,a881)),f313(f313(f93(f890(x40771,a881)),x40772),x40773)),f313(f313(f93(f890(x40771,a881)),x40774),x40773)),f313(f313(f93(f890(x40771,a881)),f313(f313(f92(f890(x40771,a881)),x40772),x40774)),x40773))
% 119.46/119.23 [4078]E(f313(f313(f3(f890(x40781,a881)),f313(f313(f93(f890(x40781,a881)),x40782),x40783)),f313(f313(f93(f890(x40781,a881)),x40784),x40783)),f313(f313(f3(f890(x40781,a881)),f313(f313(f93(f890(x40781,a881)),x40782),x40783)),x40784))
% 119.46/119.23 [4090]E(f313(f313(f3(f890(x40901,a881)),f313(f313(f3(f890(x40901,a881)),x40902),f313(f313(f295(x40901),x40903),f178(f890(x40901,a881))))),x40904),f313(f313(f3(f890(x40901,a881)),x40902),f313(f313(f295(x40901),x40903),x40904)))
% 119.46/119.23 [4143]E(f313(f313(f92(f890(x41431,a881)),f313(f313(f295(x41431),x41432),f313(f313(f295(x41431),x41433),f178(f890(x41431,a881))))),f313(f267(x41431),x41434)),f313(f267(x41431),f313(f313(f295(f889(x41431,x41431)),f313(f313(f240(x41431,x41431),x41432),x41433)),x41434)))
% 119.46/119.23 [4168]E(f313(f313(f33(a883,f890(x41681,a881)),f313(f287(a883),x41682)),f313(f313(f10(a883,f890(x41681,a881),a883),x41683),f313(f313(f9(a883,a883,a883),f73(a883)),x41684))),f313(f313(f33(a883,f890(x41681,a881)),f289(a883,x41684,f313(f313(f73(a883),x41682),x41684))),x41683))
% 119.46/119.23 [4169]E(f162(x41691,f313(f271(x41691,x41691,x41692),f313(f313(f295(x41691),x41693),f178(f890(x41691,a881)))),f313(f271(f885(x41691),f885(x41691),f146(x41691,x41692)),f313(f313(f295(f885(x41691)),x41694),f178(f890(f885(x41691),a881))))),f313(f271(f885(x41691),f885(x41691),f146(x41691,x41692)),f313(f313(f295(f885(x41691)),f313(f313(f139(x41691),x41693),x41694)),f178(f890(f885(x41691),a881)))))
% 119.46/119.23 [4231]E(f313(f250(x42311),f313(f313(f9(x42311,f890(x42312,a881),a881),f313(f313(f10(x42312,f890(f890(x42312,a881),a881),x42311),f315(x42312)),x42313)),x42314)),f313(f297(x42311,x42312,x42313),x42314))
% 119.46/119.23 [4321]E(f313(f250(x43211),f313(f313(f9(x43211,f890(f889(x43212,x43211),a881),a881),f313(f313(f10(f889(x43212,x43211),f890(f890(f889(x43212,x43211),a881),a881),x43211),f315(f889(x43212,x43211))),f313(f240(x43212,x43211),x43213))),x43214)),f313(f271(x43212,x43211,x43214),f313(f313(f295(x43212),x43213),f178(f890(x43212,a881)))))
% 119.46/119.23 [4335]E(f313(f313(f142(f889(x43351,a883),x43351),f239(x43351,a883)),f313(f124(f889(x43351,a883),f313(f313(f10(a883,a881,f889(x43351,a883)),x43352),f313(f313(f10(a883,a883,f889(x43351,a883)),a103),f244(x43351,a883)))),f313(f313(f169(x43351,a883),x43353),x43354))),f313(f313(f142(f889(x43351,a883),x43351),f239(x43351,a883)),f313(f124(f889(x43351,a883),f313(f313(f10(a883,a881,f889(x43351,a883)),x43352),f244(x43351,a883))),f313(f313(f169(x43351,a883),x43353),f313(f313(f142(a883,a883),a103),x43354)))))
% 119.46/119.23 [4344]P1(f313(f313(f222(f890(f890(x43441,a881),a881)),f313(f313(f33(x43442,f890(f890(x43441,a881),a881)),x43443),f313(f313(f10(f890(x43441,a881),f890(f890(x43441,a881),a881),x43442),f294(x43441)),x43444))),f313(f294(x43441),f313(f313(f33(x43442,f890(x43441,a881)),x43443),x43444))))
% 119.46/119.23 [4384]E(f313(f313(f79(a1,x43841),f313(f95(a1),f313(f313(f73(a1),x43842),a88))),f313(f313(f20(a1,x43841,x43841),f313(f313(f9(a1,x43841,f890(x43841,x43841)),f313(f313(f10(a881,f890(x43841,f890(x43841,x43841)),a1),f84(x43841)),a183)),x43843)),f313(f313(f20(a1,x43841,x43841),f313(f313(f10(a883,f890(x43841,x43841),a1),x43844),a96)),f313(f313(f10(a883,x43841,a1),f172(x43841,x43843,x43844)),a96)))),f313(f172(x43841,x43843,x43844),f313(f95(a883),x43842)))
% 119.46/119.23 [4408]E(f313(f250(f889(x44081,x44082)),f313(f245(x44081,x44082,a881),f313(f313(f9(x44081,f890(x44082,a881),f890(x44082,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x44082,a881),f890(x44082,a881)),x44081),f10(a881,a881,x44082)),f313(f313(f10(a881,f890(a881,a881),x44081),a311),f313(f313(f9(x44081,f890(x44081,a881),a881),f315(x44081)),x44083)))),f313(f313(f9(x44082,f890(x44082,a881),a881),f315(x44082)),x44084)))),f219(x44081,x44082,x44083,x44084))
% 119.46/119.23 [4444]E(f313(f313(f33(x44441,f890(f889(x44441,x44442),a881)),x44443),f313(f313(f20(x44441,f890(x44442,f890(f889(x44441,x44442),a881)),f890(f889(x44441,x44442),a881)),f313(f313(f10(f890(x44442,a881),f890(f890(x44442,f890(f889(x44441,x44442),a881)),f890(f889(x44441,x44442),a881)),x44441),f33(x44442,f890(f889(x44441,x44442),a881))),x44444)),f313(f313(f9(x44441,f890(f889(x44441,x44442),a881),f890(x44442,f890(f889(x44441,x44442),a881))),f313(f313(f10(f890(x44442,f890(f890(f889(x44441,x44442),a881),f890(f889(x44441,x44442),a881))),f890(f890(f889(x44441,x44442),a881),f890(x44442,f890(f889(x44441,x44442),a881))),x44441),f9(x44442,f890(f889(x44441,x44442),a881),f890(f889(x44441,x44442),a881))),f313(f313(f10(f890(x44442,f889(x44441,x44442)),f890(x44442,f890(f890(f889(x44441,x44442),a881),f890(f889(x44441,x44442),a881))),x44441),f313(f10(f889(x44441,x44442),f890(f890(f889(x44441,x44442),a881),f890(f889(x44441,x44442),a881)),x44442),f295(f889(x44441,x44442)))),f240(x44441,x44442)))),f178(f890(f889(x44441,x44442),a881))))),f313(f313(f242(x44441,x44442),x44443),x44444))
% 119.46/119.23 [4014]E(f313(f313(f122(x40141),f313(f313(f163(x40141),x40142),x40143)),f313(f313(f163(x40141),f313(f313(f3(a883),x40142),f313(f179(f885(x40141)),x40143))),x40144)),f313(f313(f163(x40141),x40142),f313(f313(f122(x40141),x40143),x40144)))
% 119.46/119.23 [4015]E(f313(f313(f122(x40151),f313(f313(f126(x40151),x40152),x40153)),f313(f313(f126(x40151),f313(f313(f3(a883),x40152),f313(f179(f885(x40151)),x40153))),x40154)),f313(f313(f126(x40151),x40152),f313(f313(f122(x40151),x40153),x40154)))
% 119.46/119.23 [4064]E(f313(f313(f73(a883),f313(f313(f74(a883),x40641),x40642)),f313(f313(f73(a883),f313(f313(f74(a883),x40643),x40642)),x40644)),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f73(a883),x40641),x40643)),x40642)),x40644))
% 119.46/119.23 [4255]P1(f313(f313(f222(f890(x42551,a881)),f313(f313(f3(f890(x42551,a881)),f313(f270(x42552,x42551),x42553)),f313(f270(x42552,x42551),x42554))),f313(f270(x42552,x42551),f313(f313(f3(f890(f889(x42552,x42551),a881)),x42553),x42554))))
% 119.46/119.23 [4256]P1(f313(f313(f222(f890(x42561,a881)),f313(f313(f3(f890(x42561,a881)),f313(f252(x42561,x42562),x42563)),f313(f252(x42561,x42562),x42564))),f313(f252(x42561,x42562),f313(f313(f3(f890(f889(x42561,x42562),a881)),x42563),x42564))))
% 119.46/119.23 [4363]E(f313(f313(f73(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x43631),x43632)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x43633),x43634)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),f313(f313(f73(a883),x43631),x43633)),f313(f313(f73(a883),x43632),x43634))),f178(f890(f889(a883,a883),a881))))))
% 119.46/119.23 [4403]E(f313(f313(f74(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x44031),x44032)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x44033),x44034)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),f313(f313(f73(a883),f313(f313(f74(a883),x44031),x44033)),f313(f313(f74(a883),x44032),x44034))),f313(f313(f73(a883),f313(f313(f74(a883),x44031),x44034)),f313(f313(f74(a883),x44032),x44033)))),f178(f890(f889(a883,a883),a881))))))
% 119.46/119.23 [4424]E(f313(f250(x44241),f313(f313(f10(f890(x44242,a881),a881,x44241),f81(x44242)),f313(f313(f10(f890(x44242,a881),f890(x44242,a881),x44241),f313(f20(x44242,a881,a881),f313(f313(f10(a881,f890(a881,a881),x44242),a316),f313(f313(f9(x44242,f890(x44242,a881),a881),f315(x44242)),x44243)))),f313(f313(f9(x44241,f890(x44242,f890(x44241,a881)),f890(x44242,a881)),f313(f313(f10(f890(f890(x44241,a881),a881),f890(f890(x44242,f890(x44241,a881)),f890(x44242,a881)),x44241),f10(f890(x44241,a881),a881,x44242)),f315(x44241))),x44244)))),f313(f313(f32(x44242,f890(x44241,a881)),x44243),x44244))
% 119.46/119.23 [4456]E(f313(f313(f275(x44561,x44561,x44561),f313(f313(f295(f889(x44561,x44561)),f313(f313(f240(x44561,x44561),x44562),x44563)),x44564)),f293(x44561,f313(f313(f295(f889(x44561,x44561)),f313(f313(f240(x44561,x44561),x44562),x44563)),x44564))),f313(f313(f92(f890(f889(x44561,x44561),a881)),f313(f313(f275(x44561,x44561,x44561),x44564),f293(x44561,x44564))),f313(f250(f889(x44561,x44561)),f313(f245(x44561,x44561,a881),f313(f313(f9(x44561,f890(x44561,a881),f890(x44561,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x44561,a881),f890(x44561,a881)),x44561),f10(a881,a881,x44561)),f313(f313(f10(a881,f890(a881,a881),x44561),a311),f313(f313(f9(x44561,f890(f889(x44561,x44561),a881),a881),f313(f313(f10(f889(x44561,x44561),f890(f890(f889(x44561,x44561),a881),a881),x44561),f315(f889(x44561,x44561))),f313(f313(f9(x44561,x44561,f889(x44561,x44561)),f240(x44561,x44561)),x44562))),f293(x44561,x44564))))),f313(f313(f9(x44561,f890(f889(x44561,x44561),a881),a881),f313(f313(f10(f889(x44561,x44561),f890(f890(f889(x44561,x44561),a881),a881),x44561),f315(f889(x44561,x44561))),f313(f240(x44561,x44561),x44563))),f293(x44561,x44564)))))))
% 119.46/119.23 [4257]E(f313(f124(x42571,f313(f313(f20(x42571,a881,a881),f313(f313(f10(a881,f890(a881,a881),x42571),a311),x42572)),x42573)),x42574),f313(f124(x42571,x42573),f313(f124(x42571,x42572),x42574)))
% 119.46/119.23 [4357]E(f313(f313(f122(x43571),f313(f313(f313(f84(f885(x43571)),f313(f313(f315(a883),f2(a883)),x43572)),f313(f313(f139(x43571),x43573),f104(x43571))),f104(x43571))),f164(x43571,x43574,f313(f250(a883),f313(f313(f9(a883,f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),a883),f315(a883)),a103)),x43572)))),f164(x43571,f313(f313(f139(x43571),x43573),x43574),x43572))
% 119.46/119.23 [4452]E(f313(f250(f889(x44521,x44522)),f313(f313(f10(f890(a883,a881),a881,f889(x44521,x44522)),f80(a883)),f313(f313(f9(f889(x44521,x44522),f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),f889(x44521,x44522)),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),f889(x44521,x44522)),f313(f10(a881,f890(a881,a881),a883),a311)),f313(f313(f9(f889(x44521,x44522),f890(a883,f889(x44521,x44522)),f890(a883,a881)),f313(f313(f10(f890(f889(x44521,x44522),a881),f890(f890(a883,f889(x44521,x44522)),f890(a883,a881)),f889(x44521,x44522)),f10(f889(x44521,x44522),a881,a883)),a310)),f313(f313(f20(a883,x44522,f889(x44521,x44522)),f313(f313(f10(x44521,f890(x44522,f889(x44521,x44522)),a883),f240(x44521,x44522)),f313(f152(x44521),x44523))),f313(f152(x44522),x44524)))))),f313(f313(f9(a883,a883,a881),f223(a883)),f313(f313(f227(a883),f313(f179(f885(x44521)),x44523)),f313(f179(f885(x44522)),x44524)))))),f313(f160(f889(x44521,x44522)),f313(f313(f169(x44521,x44522),x44523),x44524)))
% 119.46/119.23 [4376]E(f313(f250(f889(x43761,x43762)),f313(f245(x43761,x43762,a881),f313(f313(f9(x43761,f890(x43762,a881),f890(x43762,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x43762,a881),f890(x43762,a881)),x43761),f10(a881,a881,x43762)),f313(f313(f10(a881,f890(a881,a881),x43761),a311),x43763))),x43764))),f313(f313(f242(x43761,x43762),f313(f250(x43761),x43763)),f313(f18(f890(x43762,a881),x43761),f313(f250(x43762),x43764))))
% 119.46/119.23 [4379]E(f313(f250(f889(x43791,x43792)),f313(f245(x43791,x43792,a881),f313(f313(f20(x43791,f890(x43792,a881),f890(x43792,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x43792,a881),f890(x43792,a881)),x43791),f10(a881,a881,x43792)),f313(f313(f10(a881,f890(a881,a881),x43791),a311),x43793))),x43794))),f313(f313(f242(x43791,x43792),f313(f250(x43791),x43793)),f313(f313(f10(f890(x43792,a881),f890(x43792,a881),x43791),f250(x43792)),x43794)))
% 119.46/119.23 [4391]E(f313(f250(x43911),f313(f313(f10(f890(x43912,a881),a881,x43911),f81(x43912)),f313(f313(f10(f890(x43912,a881),f890(x43912,a881),x43911),f313(f20(x43912,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43912),a316),f313(f313(f9(x43912,f890(x43912,a881),a881),f315(x43912)),x43913)))),x43914))),f313(f313(f32(x43912,f890(x43911,a881)),x43913),f313(f313(f10(f890(x43911,a881),f890(x43911,a881),x43912),f250(x43911)),f313(f9(x43911,x43912,a881),x43914))))
% 119.46/119.23 [4436]E(f313(f313(f142(f889(x44361,a883),x44361),f239(x44361,a883)),f313(f124(f889(x44361,a883),f313(f313(f9(f889(x44361,a883),f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),f889(x44361,a883)),f315(a883)),f244(x44361,a883))),x44362)),f313(f313(f169(x44361,a883),x44363),f127(a883,f313(f288(a883,x44364),f313(f313(f73(a883),x44364),f313(f179(f885(x44361)),x44363))))))),f313(f313(f142(f889(x44361,a883),x44361),f239(x44361,a883)),f313(f124(f889(x44361,a883),f313(f313(f9(f889(x44361,a883),f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),f889(x44361,a883)),f315(a883)),f313(f313(f9(f889(x44361,a883),a883,a883),f313(f313(f10(a883,f890(a883,a883),f889(x44361,a883)),f73(a883)),f244(x44361,a883))),x44364))),x44362)),f313(f313(f169(x44361,a883),x44363),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(x44361)),x44363)))))))
% 119.46/119.23 [4437]E(f313(a103,f313(f313(f177(a883),f313(f179(f885(x44371)),x44372)),f313(f130(a883,f885(x44373),f313(f9(f885(x44373),a883,a883),f313(f313(f10(a883,f890(a883,a883),f885(x44373)),f177(a883)),f313(f313(f9(f885(x44373),a883,a883),f313(f313(f10(a883,f890(a883,a883),f885(x44373)),f3(a883)),f179(f885(x44373)))),f313(a103,f2(a883))))),f2(a883)),f313(f156(f885(x44373)),f313(f124(f885(x44373),f313(f313(f10(a881,a881,f885(x44373)),a308),f313(f313(f9(f885(x44373),f885(x44373),a881),a310),f104(x44373)))),x44374))))),f313(f313(f177(a883),f313(a103,f313(f179(f885(x44371)),x44372))),f313(f130(a883,f885(x44373),f313(f9(f885(x44373),a883,a883),f313(f313(f10(a883,f890(a883,a883),f885(x44373)),f177(a883)),f179(f885(x44373)))),f2(a883)),f313(f156(f885(x44373)),x44374))))
% 119.46/119.23 [4390]E(f313(f313(f122(x43901),f164(x43901,x43902,x43903)),f164(x43901,x43904,f313(f250(a883),f313(f313(f9(a883,f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),a883),f315(a883)),f313(f313(f9(a883,a883,a883),f73(a883)),f313(f179(f885(x43901)),x43902)))),x43903)))),f164(x43901,f313(f313(f122(x43901),x43902),x43904),x43903))
% 119.46/119.23 [4438]E(f31(f890(x44381,a881),f313(f250(f890(x44381,a881)),f313(f313(f10(f890(x44382,a881),a881,f890(x44381,a881)),f80(x44382)),f313(f313(f10(f890(x44382,a881),f890(x44382,a881),f890(x44381,a881)),f313(f20(x44382,a881,a881),f313(f313(f10(a881,f890(a881,a881),x44382),a311),f313(f313(f9(x44382,f890(x44382,a881),a881),f315(x44382)),x44383)))),f313(f313(f9(f890(x44381,a881),f890(x44382,f890(x44381,a881)),f890(x44382,a881)),f313(f313(f10(f890(f890(x44381,a881),a881),f890(f890(x44382,f890(x44381,a881)),f890(x44382,a881)),f890(x44381,a881)),f10(f890(x44381,a881),a881,x44382)),a310)),x44384))))),f313(f313(f32(x44382,f890(x44381,a881)),x44383),x44384))
% 119.46/119.23 [4439]E(f30(f890(x44391,a881),f313(f250(f890(x44391,a881)),f313(f313(f10(f890(x44392,a881),a881,f890(x44391,a881)),f80(x44392)),f313(f313(f10(f890(x44392,a881),f890(x44392,a881),f890(x44391,a881)),f313(f20(x44392,a881,a881),f313(f313(f10(a881,f890(a881,a881),x44392),a311),f313(f313(f9(x44392,f890(x44392,a881),a881),f315(x44392)),x44393)))),f313(f313(f9(f890(x44391,a881),f890(x44392,f890(x44391,a881)),f890(x44392,a881)),f313(f313(f10(f890(f890(x44391,a881),a881),f890(f890(x44392,f890(x44391,a881)),f890(x44392,a881)),f890(x44391,a881)),f10(f890(x44391,a881),a881,x44392)),a310)),x44394))))),f313(f313(f33(x44392,f890(x44391,a881)),x44393),x44394))
% 119.46/119.23 [4446]E(f313(f313(f139(f885(x44461)),f313(f313(f139(x44461),x44462),f313(f130(f885(x44461),f885(x44461),f122(x44461),f104(x44461)),f313(f313(f142(f885(x44461),f885(x44461)),f144(f885(x44461),x44461,f104(x44461),f313(f313(f10(f885(x44461),f890(f885(x44461),f885(x44461)),x44461),f18(f885(x44461),f885(x44461))),f313(f313(f9(x44461,f885(x44461),f885(x44461)),f139(x44461)),f104(x44461))))),x44463)))),f167(x44461,f313(f313(f139(f885(x44461)),x44464),f313(f130(f885(f885(x44461)),f885(f885(x44461)),f122(f885(x44461)),f104(f885(x44461))),f313(f313(f142(f885(x44461),f885(f885(x44461))),f144(f885(f885(x44461)),x44461,f104(f885(x44461)),f313(f18(f890(f885(x44461),f885(f885(x44461))),x44461),f313(f313(f9(f885(x44461),f885(f885(x44461)),f885(f885(x44461))),f139(f885(x44461))),f104(f885(x44461)))))),x44463))))),f167(x44461,f313(f313(f139(f885(x44461)),f313(f313(f139(x44461),x44462),x44464)),x44463)))
% 119.46/119.23 [4453]E(f313(f250(f889(x44531,x44531)),f313(f245(x44531,x44531,a881),f313(f313(f9(x44531,f890(f889(x44532,x44532),a881),f890(x44531,a881)),f313(f313(f10(f890(x44531,f890(f890(f889(x44532,x44532),a881),a881)),f890(f890(f889(x44532,x44532),a881),f890(x44531,a881)),x44531),f9(x44531,f890(f889(x44532,x44532),a881),a881)),f313(f313(f10(f890(x44531,f889(x44532,x44532)),f890(x44531,f890(f890(f889(x44532,x44532),a881),a881)),x44531),f313(f10(f889(x44532,x44532),f890(f890(f889(x44532,x44532),a881),a881),x44531),f315(f889(x44532,x44532)))),f313(f313(f9(x44531,f890(x44531,x44532),f890(x44531,f889(x44532,x44532))),f313(f313(f10(f890(x44532,f889(x44532,x44532)),f890(f890(x44531,x44532),f890(x44531,f889(x44532,x44532))),x44531),f10(x44532,f889(x44532,x44532),x44531)),f313(f313(f10(x44532,f890(x44532,f889(x44532,x44532)),x44531),f240(x44532,x44532)),x44533))),x44533)))),x44534))),f313(f313(f274(x44532,x44531),x44534),x44533))
% 119.46/119.23 [3604]E(f313(f313(f142(x36041,x36042),x36043),f157(x36041,x36044,x36045)),f157(x36042,x36044,f313(x36043,x36045)))
% 119.46/119.23 [4158]E(f313(f68(x41581,x41582,x41583,x41584,x41585),x41584),x41585)
% 119.46/119.23 [4208]E(f241(x42081,x42082,x42083,f231(x42082,x42081,x42084),f231(x42083,x42082,x42085)),f231(x42083,x42081,f241(x42083,x42082,x42081,x42085,x42084)))
% 119.46/119.23 [3792]E(f313(f313(f245(x37921,x37922,x37923),x37924),x37925),f313(f313(x37924,f313(f239(x37921,x37922),x37925)),f313(f244(x37921,x37922),x37925)))
% 119.46/119.23 [3793]E(f313(f313(f245(x37931,x37932,x37933),x37934),x37935),f313(f313(x37934,f313(f239(x37931,x37932),x37935)),f313(f244(x37931,x37932),x37935)))
% 119.46/119.23 [3794]E(f313(f313(f245(x37941,x37942,x37943),x37944),x37945),f313(f313(x37944,f313(f239(x37941,x37942),x37945)),f313(f244(x37941,x37942),x37945)))
% 119.46/119.23 [3828]E(f313(f313(f313(f58(x38281,x38282,x38283),x38284),x38285),f178(f890(x38282,a881))),x38285)
% 119.46/119.23 [4097]E(f313(f66(f885(x40971),f885(x40972),f885(x40973),f313(f142(x40971,x40972),x40974)),f313(f142(x40973,x40971),x40975)),f313(f142(x40973,x40972),f313(f66(x40971,x40972,x40973,x40974),x40975)))
% 119.46/119.23 [4098]E(f313(f66(f885(x40981),f885(x40982),f885(x40983),f313(f142(x40981,x40982),x40984)),f313(f142(x40983,x40981),x40985)),f313(f142(x40983,x40982),f313(f66(x40981,x40982,x40983,x40984),x40985)))
% 119.46/119.23 [4172]E(f78(x41721,f59(x41722,x41721,x41723,x41724,x41725)),f313(f313(f57(x41722,x41721,x41723),x41724),x41725))
% 119.46/119.23 [4206]E(f313(f313(f73(a883),f313(f313(f73(a883),f313(x42061,f313(f239(x42062,x42063),x42064))),f313(x42065,f313(f244(x42062,x42063),x42064)))),f313(a103,f2(a883))),f249(x42062,x42063,x42061,x42065,x42064))
% 119.46/119.23 [3731]E(f313(f313(f163(x37311),x37312),f313(f313(f142(x37313,x37311),x37314),x37315)),f313(f313(f142(x37313,x37311),x37314),f313(f313(f163(x37313),x37312),x37315)))
% 119.46/119.23 [3732]E(f313(f313(f126(x37321),x37322),f313(f313(f142(x37323,x37321),x37324),x37325)),f313(f313(f142(x37323,x37321),x37324),f313(f313(f126(x37323),x37322),x37325)))
% 119.46/119.23 [3763]E(f313(f313(f142(x37631,x37632),x37633),f313(f313(f139(x37631),x37634),x37635)),f313(f313(f139(x37632),f313(x37633,x37634)),f313(f313(f142(x37631,x37632),x37633),x37635)))
% 119.46/119.23 [3824]E(f313(f296(x38241,x38242,x38243),f313(f313(f295(x38241),x38244),x38245)),f313(f313(f295(x38242),f313(x38243,x38244)),f313(f296(x38241,x38242,x38243),x38245)))
% 119.46/119.23 [3852]E(f161(x38521,f313(f313(f139(x38521),x38522),x38523),f313(f313(f139(x38521),x38524),x38525)),f313(f313(f139(x38521),x38522),f313(f313(f139(x38521),x38524),f161(x38521,x38523,x38525))))
% 119.46/119.23 [3887]E(f313(f313(f169(x38871,x38872),f313(f313(f163(x38871),x38873),x38874)),f313(f313(f163(x38872),x38873),x38875)),f313(f313(f163(f889(x38871,x38872)),x38873),f313(f313(f169(x38871,x38872),x38874),x38875)))
% 119.46/119.23 [3888]E(f313(f313(f169(x38881,x38882),f313(f313(f126(x38881),x38883),x38884)),f313(f313(f126(x38882),x38883),x38885)),f313(f313(f126(f889(x38881,x38882)),x38883),f313(f313(f169(x38881,x38882),x38884),x38885)))
% 119.46/119.23 [3897]E(f313(f313(f147(x38971,f313(f313(f139(x38971),x38972),x38973)),f313(a103,x38974)),x38975),f313(f313(f139(x38971),x38972),f313(f313(f147(x38971,x38973),x38974),x38975)))
% 119.46/119.23 [3900]E(f313(f313(f122(x39001),f313(f313(f142(x39002,x39001),x39003),x39004)),f313(f313(f142(x39002,x39001),x39003),x39005)),f313(f313(f142(x39002,x39001),x39003),f313(f313(f122(x39002),x39004),x39005)))
% 119.46/119.23 [3904]E(f313(f313(x39041,x39042),f313(f313(f233(x39043,x39044,x39041),x39042),x39045)),f313(f313(f233(x39043,x39044,x39041),x39042),f313(a103,x39045)))
% 119.46/119.23 [3935]E(f151(x39351,x39352,x39353,f313(f313(f139(x39351),x39354),x39355)),f313(f313(f122(x39352),f313(x39353,x39354)),f151(x39351,x39352,x39353,x39355)))
% 119.46/119.23 [3947]E(f313(f313(f275(x39471,x39472,x39473),f313(f272(x39472,x39471),x39474)),f313(f272(x39473,x39472),x39475)),f313(f272(x39473,x39471),f313(f313(f275(x39473,x39472,x39471),x39475),x39474)))
% 119.46/119.23 [3979]E(f313(f313(f313(f171(f885(x39791),f885(x39791)),x39792),f155(x39791)),f313(f313(f142(x39793,x39791),x39794),x39795)),f313(f313(f142(x39793,x39791),x39794),f313(f313(f313(f171(f885(x39793),f885(x39793)),x39792),f155(x39793)),x39795)))
% 119.46/119.23 [3980]E(f313(f313(f247(x39801,x39802,x39801,x39803),f313(f240(x39802,x39801),x39804)),x39805),f313(x39805,x39804))
% 119.46/119.23 [4001]E(f143(x40011,x40012,f313(f313(f142(x40013,x40011),x40014),x40015)),f143(x40013,f313(f66(x40011,a883,x40013,x40012),x40014),x40015))
% 119.46/119.23 [4063]E(f165(f889(x40631,x40632),f313(f66(x40632,a881,f889(x40631,x40632),x40633),f244(x40631,x40632)),f313(f313(f169(x40631,x40632),x40634),x40635)),f313(f313(f169(x40631,x40632),x40634),f165(x40632,x40633,x40635)))
% 119.46/119.23 [4068]E(f313(f296(x40681,x40682,f313(f313(f10(x40683,x40682,x40681),x40684),x40685)),f230(f890(x40681,a881))),f313(f296(x40683,x40682,x40684),f313(f296(x40681,x40683,x40685),f230(f890(x40681,a881)))))
% 119.46/119.23 [4081]E(f165(f889(x40811,x40812),f313(f66(x40811,a881,f889(x40811,x40812),x40813),f239(x40811,x40812)),f313(f313(f169(x40811,x40812),x40814),x40815)),f313(f313(f169(x40811,x40812),f165(x40811,x40813,x40814)),x40815))
% 119.46/119.23 [4102]E(f313(f313(f92(f890(x41021,a881)),f313(f297(x41021,x41022,x41023),f313(f313(f295(x41022),x41024),f178(f890(x41022,a881))))),f313(f297(x41021,x41022,x41023),x41025)),f313(f297(x41021,x41022,x41023),f313(f313(f295(x41022),x41024),x41025)))
% 119.46/119.23 [4157]E(f313(f313(f122(f889(x41571,x41572)),f313(f313(f142(x41572,f889(x41571,x41572)),f313(f240(x41571,x41572),x41573)),x41574)),f52(x41571,x41572,x41575,x41574)),f52(x41571,x41572,f313(f313(f139(x41571),x41573),x41575),x41574))
% 119.46/119.23 [4159]E(f313(f313(f142(x41591,x41592),x41593),f165(x41591,f313(f66(x41592,a881,x41591,x41594),x41593),x41595)),f165(x41592,x41594,f313(f313(f142(x41591,x41592),x41593),x41595)))
% 119.46/119.23 [4164]E(f313(f130(x41641,x41642,f313(f9(x41642,x41641,x41641),f313(f9(x41641,x41642,x41641),x41643)),x41644),f313(f156(x41642),f313(f156(x41642),x41645))),f313(f130(x41641,x41642,x41643,x41644),x41645))
% 119.46/119.23 [4265]P1(f313(f313(f222(f890(x42651,a881)),f313(f296(x42652,x42651,x42653),f313(f313(f93(f890(x42652,a881)),x42654),x42655))),f313(f313(f93(f890(x42651,a881)),f313(f296(x42652,x42651,x42653),x42654)),f313(f296(x42652,x42651,x42653),x42655))))
% 119.46/119.23 [4266]P1(f313(f313(f222(f890(x42661,a881)),f313(f271(x42662,x42661,x42663),f313(f313(f93(f890(x42662,a881)),x42664),x42665))),f313(f313(f93(f890(x42661,a881)),f313(f271(x42662,x42661,x42663),x42664)),f313(f271(x42662,x42661,x42663),x42665))))
% 119.46/119.23 [4364]E(f313(f244(x43641,x43642),f313(f246(x43643,x43641,x43642,x43642,x43644,f25(x43642)),x43645)),f313(f244(x43643,x43642),x43645))
% 119.46/119.23 [4365]E(f313(f239(x43651,x43652),f313(f246(x43651,x43651,x43653,x43652,f25(x43651),x43654),x43655)),f313(f239(x43651,x43653),x43655))
% 119.46/119.23 [4368]E(f313(f239(x43681,x43682),f313(f246(x43683,x43681,x43682,x43682,x43684,f25(x43682)),x43685)),f313(x43684,f313(f239(x43683,x43682),x43685)))
% 119.46/119.23 [4369]E(f313(f244(x43691,x43692),f313(f246(x43691,x43691,x43693,x43692,f25(x43691),x43694),x43695)),f313(x43694,f313(f244(x43691,x43693),x43695)))
% 119.46/119.23 [3576]E(f313(f313(f313(f313(f194(x35761),x35762),x35763),x35764),x35765),f182(x35761,x35762))
% 119.46/119.23 [3577]E(f313(f313(f313(f313(f198(x35771),x35772),x35773),x35774),x35775),f189(x35771,x35772))
% 119.46/119.23 [3936]E(f313(f313(f32(x39361,f890(x39362,a881)),f313(f313(f295(x39361),x39363),x39364)),x39365),f313(f313(f93(f890(x39362,a881)),f313(x39365,x39363)),f313(f313(f32(x39361,f890(x39362,a881)),x39364),x39365)))
% 119.46/119.23 [3937]E(f313(f313(f33(x39371,f890(x39372,a881)),f313(f313(f295(x39371),x39373),x39374)),x39375),f313(f313(f92(f890(x39372,a881)),f313(x39375,x39373)),f313(f313(f33(x39371,f890(x39372,a881)),x39374),x39375)))
% 119.46/119.23 [3985]E(f313(f109(x39851,x39852,f313(x39853,x39854)),f313(f313(f9(x39851,a90,f884(x39852)),x39855),x39854)),f313(f187(x39851,x39852,x39853,x39855),x39854))
% 119.46/119.23 [3995]E(f313(f313(f92(f890(x39951,a881)),f313(f296(x39952,x39951,x39953),x39954)),f313(f296(x39952,x39951,x39953),x39955)),f313(f296(x39952,x39951,x39953),f313(f313(f92(f890(x39952,a881)),x39954),x39955)))
% 119.46/119.23 [3996]E(f313(f313(f92(f890(x39961,a881)),f313(f271(x39962,x39961,x39963),x39964)),f313(f271(x39962,x39961,x39963),x39965)),f313(f271(x39962,x39961,x39963),f313(f313(f92(f890(x39962,a881)),x39964),x39965)))
% 119.46/119.23 [3997]E(f313(f313(f3(f890(x39971,a881)),f313(f297(x39971,x39972,x39973),x39974)),f313(f297(x39971,x39972,x39973),x39975)),f313(f297(x39971,x39972,x39973),f313(f313(f3(f890(x39972,a881)),x39974),x39975)))
% 119.46/119.23 [3998]E(f313(f313(f92(f890(x39981,a881)),f313(f297(x39981,x39982,x39983),x39984)),f313(f297(x39981,x39982,x39983),x39985)),f313(f297(x39981,x39982,x39983),f313(f313(f92(f890(x39982,a881)),x39984),x39985)))
% 119.46/119.23 [3999]E(f313(f313(f93(f890(x39991,a881)),f313(f297(x39991,x39992,x39993),x39994)),f313(f297(x39991,x39992,x39993),x39995)),f313(f297(x39991,x39992,x39993),f313(f313(f93(f890(x39992,a881)),x39994),x39995)))
% 119.46/119.23 [4059]E(f313(f313(f147(x40591,f313(f313(f122(x40591),x40592),f313(f313(f139(x40591),x40593),x40594))),f313(f179(f885(x40591)),x40592)),x40595),f313(f313(f122(x40591),x40592),f313(f313(f139(x40591),x40595),x40594)))
% 119.46/119.23 [4065]E(f313(f313(f32(x40651,f890(x40652,a881)),x40653),f313(f313(f10(f890(x40652,a881),f890(x40652,a881),x40651),f313(f295(x40652),x40654)),x40655)),f313(f313(f295(x40652),x40654),f313(f313(f32(x40651,f890(x40652,a881)),x40653),x40655)))
% 119.46/119.23 [4066]E(f313(f313(f32(x40661,f890(x40662,a881)),x40663),f313(f313(f10(f890(x40662,a881),f890(x40662,a881),x40661),f313(f295(x40662),x40664)),x40665)),f313(f313(f295(x40662),x40664),f313(f313(f32(x40661,f890(x40662,a881)),x40663),x40665)))
% 119.46/119.23 [4174]E(f313(f313(f3(f890(f889(x41741,x41742),a881)),f313(f313(f242(x41741,x41742),x41743),f313(f18(f890(x41742,a881),x41741),x41744))),f313(f313(f242(x41741,x41742),x41745),f313(f18(f890(x41742,a881),x41741),x41744))),f313(f313(f242(x41741,x41742),f313(f313(f3(f890(x41741,a881)),x41743),x41745)),f313(f18(f890(x41742,a881),x41741),x41744)))
% 119.46/119.23 [4175]E(f313(f313(f92(f890(f889(x41751,x41752),a881)),f313(f313(f242(x41751,x41752),x41753),f313(f18(f890(x41752,a881),x41751),x41754))),f313(f313(f242(x41751,x41752),x41755),f313(f18(f890(x41752,a881),x41751),x41754))),f313(f313(f242(x41751,x41752),f313(f313(f92(f890(x41751,a881)),x41753),x41755)),f313(f18(f890(x41752,a881),x41751),x41754)))
% 119.46/119.23 [4176]E(f313(f313(f93(f890(f889(x41761,x41762),a881)),f313(f313(f242(x41761,x41762),x41763),f313(f18(f890(x41762,a881),x41761),x41764))),f313(f313(f242(x41761,x41762),x41765),f313(f18(f890(x41762,a881),x41761),x41764))),f313(f313(f242(x41761,x41762),f313(f313(f93(f890(x41761,a881)),x41763),x41765)),f313(f18(f890(x41762,a881),x41761),x41764)))
% 119.46/119.23 [4217]E(f313(f313(f142(x42171,x42172),x42173),f313(f124(x42171,f313(f66(x42172,a881,x42171,x42174),x42173)),x42175)),f313(f124(x42172,x42174),f313(f313(f142(x42171,x42172),x42173),x42175)))
% 119.46/119.23 [4223]E(f313(f179(f885(x42231)),f313(f124(x42231,x42232),f313(f313(f142(x42233,x42231),x42234),x42235))),f313(f179(f885(x42233)),f313(f124(x42233,f313(f66(x42231,a881,x42233,x42232),x42234)),x42235)))
% 119.46/119.23 [4429]E(f313(f144(f885(f889(x44291,x44292)),x44292,f104(f889(x44291,x44292)),f313(f313(f9(x44292,f890(f885(x44292),f885(f889(x44291,x44292))),f890(f885(x44292),f885(f889(x44291,x44292)))),f313(f313(f10(f890(f885(f889(x44291,x44292)),f885(f889(x44291,x44292))),f890(f890(f885(x44292),f885(f889(x44291,x44292))),f890(f885(x44292),f885(f889(x44291,x44292)))),x44292),f10(f885(f889(x44291,x44292)),f885(f889(x44291,x44292)),f885(x44292))),f313(f313(f10(f889(x44291,x44292),f890(f885(f889(x44291,x44292)),f885(f889(x44291,x44292))),x44292),f139(f889(x44291,x44292))),f313(f240(x44291,x44292),x44293)))),f313(f169(x44291,x44292),x44294))),x44295),f313(f313(f169(x44291,x44292),f313(f313(f139(x44291),x44293),x44294)),x44295))
% 119.46/119.23 [3929]E(f313(f313(f147(x39291,f313(f313(f147(x39291,x39292),x39293),x39294)),x39293),x39295),f313(f313(f147(x39291,x39292),x39293),x39295))
% 119.46/119.23 [3981]E(f313(f270(x39811,x39812),f313(f313(f295(f889(x39811,x39812)),f313(f313(f240(x39811,x39812),x39813),x39814)),x39815)),f313(f313(f295(x39812),x39814),f313(f270(x39811,x39812),x39815)))
% 119.46/119.23 [3982]E(f313(f252(x39821,x39822),f313(f313(f295(f889(x39821,x39822)),f313(f313(f240(x39821,x39822),x39823),x39824)),x39825)),f313(f313(f295(x39821),x39823),f313(f252(x39821,x39822),x39825)))
% 119.46/119.23 [4024]E(f112(x40241,x40242,f313(x40243,x40244),f313(f313(f9(x40241,a90,f884(f887(x40242))),x40245),x40244)),f313(f185(x40241,x40242,x40243,x40245),x40244))
% 119.46/119.23 [4052]E(f313(f313(f3(f890(f889(x40521,x40522),a881)),f313(f313(f242(x40521,x40522),x40523),x40524)),f313(f313(f242(x40521,x40522),x40525),x40524)),f313(f313(f242(x40521,x40522),f313(f313(f3(f890(x40521,a881)),x40523),x40525)),x40524))
% 119.46/119.23 [4053]E(f313(f313(f92(f890(f889(x40531,x40532),a881)),f313(f313(f242(x40531,x40532),x40533),x40534)),f313(f313(f242(x40531,x40532),x40535),x40534)),f313(f313(f242(x40531,x40532),f313(f313(f92(f890(x40531,a881)),x40533),x40535)),x40534))
% 119.46/119.23 [4054]E(f313(f313(f93(f890(f889(x40541,x40542),a881)),f313(f313(f242(x40541,x40542),x40543),x40544)),f313(f313(f242(x40541,x40542),x40545),x40544)),f313(f313(f242(x40541,x40542),f313(f313(f93(f890(x40541,a881)),x40543),x40545)),x40544))
% 119.46/119.23 [4113]E(f313(f313(f93(f890(x41131,a881)),f313(f313(f32(x41132,f890(x41131,a881)),x41133),x41134)),f313(f313(f32(x41132,f890(x41131,a881)),x41135),x41134)),f313(f313(f32(x41132,f890(x41131,a881)),f313(f313(f92(f890(x41132,a881)),x41133),x41135)),x41134))
% 119.46/119.23 [4114]E(f313(f313(f92(f890(x41141,a881)),f313(f313(f33(x41142,f890(x41141,a881)),x41143),x41144)),f313(f313(f33(x41142,f890(x41141,a881)),x41145),x41144)),f313(f313(f33(x41142,f890(x41141,a881)),f313(f313(f92(f890(x41142,a881)),x41143),x41145)),x41144))
% 119.46/119.23 [4123]E(f313(f313(f33(x41231,f890(x41232,a881)),x41233),f313(f313(f10(f890(x41232,a881),f890(x41232,a881),x41231),f313(f3(f890(x41232,a881)),x41234)),x41235)),f313(f313(f3(f890(x41232,a881)),x41234),f313(f313(f32(x41231,f890(x41232,a881)),x41233),x41235)))
% 119.46/119.23 [4124]E(f313(f313(f32(x41241,f890(x41242,a881)),x41243),f313(f313(f10(f890(x41242,a881),f890(x41242,a881),x41241),f313(f92(f890(x41242,a881)),x41244)),x41245)),f313(f313(f92(f890(x41242,a881)),x41244),f313(f313(f32(x41241,f890(x41242,a881)),x41243),x41245)))
% 119.46/119.23 [4125]E(f313(f313(f32(x41251,f890(x41252,a881)),x41253),f313(f313(f10(f890(x41252,a881),f890(x41252,a881),x41251),f313(f92(f890(x41252,a881)),x41254)),x41255)),f313(f313(f92(f890(x41252,a881)),x41254),f313(f313(f32(x41251,f890(x41252,a881)),x41253),x41255)))
% 119.46/119.23 [4126]E(f313(f313(f33(x41261,f890(x41262,a881)),x41263),f313(f313(f10(f890(x41262,a881),f890(x41262,a881),x41261),f313(f93(f890(x41262,a881)),x41264)),x41265)),f313(f313(f93(f890(x41262,a881)),x41264),f313(f313(f33(x41261,f890(x41262,a881)),x41263),x41265)))
% 119.46/119.23 [4127]E(f313(f313(f33(x41271,f890(x41272,a881)),x41273),f313(f313(f10(f890(x41272,a881),f890(x41272,a881),x41271),f313(f93(f890(x41272,a881)),x41274)),x41275)),f313(f313(f93(f890(x41272,a881)),x41274),f313(f313(f33(x41271,f890(x41272,a881)),x41273),x41275)))
% 119.46/119.23 [4128]E(f313(f313(f32(x41281,f890(x41282,a881)),x41283),f313(f313(f10(f890(x41282,a881),f890(x41282,a881),x41281),f313(f92(f890(x41282,a881)),x41284)),x41285)),f313(f313(f92(f890(x41282,a881)),x41284),f313(f313(f32(x41281,f890(x41282,a881)),x41283),x41285)))
% 119.46/119.23 [4129]E(f313(f313(f33(x41291,f890(x41292,a881)),x41293),f313(f313(f10(f890(x41292,a881),f890(x41292,a881),x41291),f313(f3(f890(x41292,a881)),x41294)),x41295)),f313(f313(f3(f890(x41292,a881)),x41294),f313(f313(f32(x41291,f890(x41292,a881)),x41293),x41295)))
% 119.46/119.23 [4130]E(f313(f313(f33(x41301,f890(x41302,a881)),x41303),f313(f313(f10(f890(x41302,a881),f890(x41302,a881),x41301),f313(f93(f890(x41302,a881)),x41304)),x41305)),f313(f313(f93(f890(x41302,a881)),x41304),f313(f313(f33(x41301,f890(x41302,a881)),x41303),x41305)))
% 119.46/119.23 [4184]E(f173(f885(x41841),f313(f313(f139(x41841),x41842),x41843),f313(f313(f10(f885(x41841),f885(x41841),a883),f313(f139(x41841),x41844)),f313(f313(f9(a883,x41841,f885(x41841)),f147(x41841,x41843)),x41842)),x41845),f313(f313(f147(x41841,f313(f313(f139(x41841),x41844),x41843)),x41845),x41842))
% 119.46/119.23 [4188]E(f313(f313(f32(x41881,f890(f889(x41882,x41883),a881)),x41884),f313(f313(f10(f890(f889(x41883,x41882),a881),f890(f889(x41882,x41883),a881),x41881),f272(x41883,x41882)),x41885)),f313(f272(x41883,x41882),f313(f313(f32(x41881,f890(f889(x41883,x41882),a881)),x41884),x41885)))
% 119.46/119.23 [4189]E(f313(f313(f33(x41891,f890(f889(x41892,x41893),a881)),x41894),f313(f313(f10(f890(f889(x41893,x41892),a881),f890(f889(x41892,x41893),a881),x41891),f272(x41893,x41892)),x41895)),f313(f272(x41893,x41892),f313(f313(f33(x41891,f890(f889(x41893,x41892),a881)),x41894),x41895)))
% 119.46/119.23 [4288]P1(f313(f313(f222(f890(x42881,a881)),f313(f313(f3(f890(x42881,a881)),f313(f296(x42882,x42881,x42883),x42884)),f313(f296(x42882,x42881,x42883),x42885))),f313(f296(x42882,x42881,x42883),f313(f313(f3(f890(x42882,a881)),x42884),x42885))))
% 119.46/119.23 [4432]E(f313(f144(f885(f889(x44321,x44322)),x44321,f104(f889(x44321,x44322)),f313(f313(f9(x44321,f890(f885(x44321),f885(f889(x44321,x44322))),f890(f885(x44321),f885(f889(x44321,x44322)))),f313(f313(f10(f890(f885(f889(x44321,x44322)),f885(f889(x44321,x44322))),f890(f890(f885(x44321),f885(f889(x44321,x44322))),f890(f885(x44321),f885(f889(x44321,x44322)))),x44321),f10(f885(f889(x44321,x44322)),f885(f889(x44321,x44322)),f885(x44321))),f313(f313(f10(f889(x44321,x44322),f890(f885(f889(x44321,x44322)),f885(f889(x44321,x44322))),x44321),f139(f889(x44321,x44322))),f313(f313(f9(x44321,x44322,f889(x44321,x44322)),f240(x44321,x44322)),x44323)))),f313(f313(f9(f885(x44321),f885(x44322),f885(f889(x44321,x44322))),f169(x44321,x44322)),x44324))),x44325),f313(f313(f169(x44321,x44322),x44325),f313(f313(f139(x44322),x44323),x44324)))
% 119.46/119.23 [4153]E(f313(f313(f92(f890(x41531,a881)),f313(f271(x41532,x41531,x41533),x41534)),f313(f271(x41532,x41531,x41535),x41534)),f313(f271(x41532,x41531,f313(f313(f92(f890(f889(x41532,x41531),a881)),x41533),x41535)),x41534))
% 119.46/119.23 [4190]E(f313(f313(f122(f889(x41901,x41902)),f313(f313(f169(x41901,x41902),x41903),f313(f313(f163(x41902),f313(f179(f885(x41901)),x41903)),x41904))),f313(f313(f169(x41901,x41902),x41905),f313(f313(f126(x41902),f313(f179(f885(x41901)),x41903)),x41904))),f313(f313(f169(x41901,x41902),f313(f313(f122(x41901),x41903),x41905)),x41904))
% 119.46/119.23 [4291]E(f313(f313(f242(x42911,x42912),x42913),f313(f313(f20(x42911,f890(x42912,a881),f890(x42912,a881)),f313(f313(f10(f890(x42912,a881),f890(f890(x42912,a881),f890(x42912,a881)),x42911),f3(f890(x42912,a881))),x42914)),x42915)),f313(f313(f3(f890(f889(x42911,x42912),a881)),f313(f313(f242(x42911,x42912),x42913),x42914)),f313(f313(f242(x42911,x42912),x42913),x42915)))
% 119.46/119.23 [4292]E(f313(f313(f242(x42921,x42922),x42923),f313(f313(f20(x42921,f890(x42922,a881),f890(x42922,a881)),f313(f313(f10(f890(x42922,a881),f890(f890(x42922,a881),f890(x42922,a881)),x42921),f92(f890(x42922,a881))),x42924)),x42925)),f313(f313(f92(f890(f889(x42921,x42922),a881)),f313(f313(f242(x42921,x42922),x42923),x42924)),f313(f313(f242(x42921,x42922),x42923),x42925)))
% 119.46/119.23 [4293]E(f313(f313(f242(x42931,x42932),x42933),f313(f313(f20(x42931,f890(x42932,a881),f890(x42932,a881)),f313(f313(f10(f890(x42932,a881),f890(f890(x42932,a881),f890(x42932,a881)),x42931),f93(f890(x42932,a881))),x42934)),x42935)),f313(f313(f93(f890(f889(x42931,x42932),a881)),f313(f313(f242(x42931,x42932),x42933),x42934)),f313(f313(f242(x42931,x42932),x42933),x42935)))
% 119.46/119.23 [4294]E(f313(f313(f33(x42941,f890(x42942,a881)),x42943),f313(f313(f9(x42941,f890(x42942,a881),f890(x42942,a881)),f313(f313(f10(f890(x42942,a881),f890(f890(x42942,a881),f890(x42942,a881)),x42941),f3(f890(x42942,a881))),x42944)),x42945)),f313(f313(f3(f890(x42942,a881)),f313(f313(f33(x42941,f890(x42942,a881)),x42943),x42944)),x42945))
% 119.46/119.23 [4295]E(f313(f313(f32(x42951,f890(x42952,a881)),x42953),f313(f313(f9(x42951,f890(x42952,a881),f890(x42952,a881)),f313(f313(f10(f890(x42952,a881),f890(f890(x42952,a881),f890(x42952,a881)),x42951),f92(f890(x42952,a881))),x42954)),x42955)),f313(f313(f92(f890(x42952,a881)),f313(f313(f32(x42951,f890(x42952,a881)),x42953),x42954)),x42955))
% 119.46/119.23 [4296]E(f313(f313(f33(x42961,f890(x42962,a881)),x42963),f313(f313(f9(x42961,f890(x42962,a881),f890(x42962,a881)),f313(f313(f10(f890(x42962,a881),f890(f890(x42962,a881),f890(x42962,a881)),x42961),f93(f890(x42962,a881))),x42964)),x42965)),f313(f313(f93(f890(x42962,a881)),f313(f313(f33(x42961,f890(x42962,a881)),x42963),x42964)),x42965))
% 119.46/119.23 [4297]E(f313(f313(f32(x42971,f890(x42972,a881)),x42973),f313(f313(f9(x42971,f890(x42972,a881),f890(x42972,a881)),f313(f313(f10(f890(x42972,a881),f890(f890(x42972,a881),f890(x42972,a881)),x42971),f92(f890(x42972,a881))),x42974)),x42975)),f313(f313(f92(f890(x42972,a881)),f313(f313(f32(x42971,f890(x42972,a881)),x42973),x42974)),x42975))
% 119.46/119.23 [4298]E(f313(f313(f33(x42981,f890(x42982,a881)),x42983),f313(f313(f9(x42981,f890(x42982,a881),f890(x42982,a881)),f313(f313(f10(f890(x42982,a881),f890(f890(x42982,a881),f890(x42982,a881)),x42981),f3(f890(x42982,a881))),x42984)),x42985)),f313(f313(f3(f890(x42982,a881)),f313(f313(f33(x42981,f890(x42982,a881)),x42983),x42984)),x42985))
% 119.46/119.23 [4299]E(f313(f313(f33(x42991,f890(x42992,a881)),x42993),f313(f313(f9(x42991,f890(x42992,a881),f890(x42992,a881)),f313(f313(f10(f890(x42992,a881),f890(f890(x42992,a881),f890(x42992,a881)),x42991),f93(f890(x42992,a881))),x42994)),x42995)),f313(f313(f93(f890(x42992,a881)),f313(f313(f33(x42991,f890(x42992,a881)),x42993),x42994)),x42995))
% 119.46/119.23 [4303]E(f313(f313(f32(x43031,f890(x43032,a881)),x43033),f313(f313(f20(x43031,f890(x43032,a881),f890(x43032,a881)),f313(f313(f10(f890(x43032,a881),f890(f890(x43032,a881),f890(x43032,a881)),x43031),f93(f890(x43032,a881))),x43034)),x43035)),f313(f313(f93(f890(x43032,a881)),f313(f313(f32(x43031,f890(x43032,a881)),x43033),x43034)),f313(f313(f32(x43031,f890(x43032,a881)),x43033),x43035)))
% 119.46/119.23 [4304]E(f313(f313(f33(x43041,f890(x43042,a881)),x43043),f313(f313(f20(x43041,f890(x43042,a881),f890(x43042,a881)),f313(f313(f10(f890(x43042,a881),f890(f890(x43042,a881),f890(x43042,a881)),x43041),f92(f890(x43042,a881))),x43044)),x43045)),f313(f313(f92(f890(x43042,a881)),f313(f313(f33(x43041,f890(x43042,a881)),x43043),x43044)),f313(f313(f33(x43041,f890(x43042,a881)),x43043),x43045)))
% 119.46/119.23 [4317]E(f313(f313(f32(x43171,f890(x43172,a881)),x43173),f313(f313(f20(x43171,f890(x43172,a881),f890(x43172,a881)),f313(f313(f10(f890(x43172,a881),f890(f890(x43172,a881),f890(x43172,a881)),x43171),f93(f890(x43172,a881))),x43174)),x43175)),f313(f313(f93(f890(x43172,a881)),f31(f890(x43172,a881),f313(f296(x43171,f890(x43172,a881),x43174),x43173))),f31(f890(x43172,a881),f313(f296(x43171,f890(x43172,a881),x43175),x43173))))
% 119.46/119.23 [4318]E(f313(f313(f33(x43181,f890(x43182,a881)),x43183),f313(f313(f20(x43181,f890(x43182,a881),f890(x43182,a881)),f313(f313(f10(f890(x43182,a881),f890(f890(x43182,a881),f890(x43182,a881)),x43181),f92(f890(x43182,a881))),x43184)),x43185)),f313(f313(f92(f890(x43182,a881)),f30(f890(x43182,a881),f313(f296(x43181,f890(x43182,a881),x43184),x43183))),f30(f890(x43182,a881),f313(f296(x43181,f890(x43182,a881),x43185),x43183))))
% 119.46/119.23 [4353]E(f313(f313(f126(x43531),f313(f179(f885(x43531)),f165(x43531,x43532,f313(f313(f142(x43533,x43531),x43534),x43535)))),f313(f313(f142(x43533,x43531),x43534),x43535)),f313(f313(f142(x43533,x43531),x43534),f313(f313(f126(x43533),f313(f179(f885(x43533)),f165(x43533,f313(f66(x43531,a881,x43533,x43532),x43534),x43535))),x43535)))
% 119.46/119.23 [4230]E(f313(f313(f122(f889(x42301,x42302)),f313(f313(f169(x42301,x42302),f313(f313(f163(x42301),f313(f179(f885(x42302)),x42303)),x42304)),x42303)),f313(f313(f169(x42301,x42302),f313(f313(f126(x42301),f313(f179(f885(x42302)),x42303)),x42304)),x42305)),f313(f313(f169(x42301,x42302),x42304),f313(f313(f122(x42302),x42303),x42305)))
% 119.46/119.23 [4345]E(f78(x43451,f313(f313(f20(x43451,a881,a881),f313(f313(f10(a881,f890(a881,a881),x43451),a311),f313(f313(f9(x43451,f890(x43451,a881),a881),f315(x43451)),x43452))),f313(f313(f9(x43451,x43453,a881),f313(f313(f10(x43453,f890(x43453,a881),x43451),a310),x43454)),x43455))),f313(f70(x43451,x43453,x43452,x43454),x43455))
% 119.46/119.23 [4393]E(f313(f313(f79(a1,x43931),f313(f95(a1),f313(f313(f73(a1),x43932),a88))),f313(f313(f20(a1,x43931,x43931),f313(f313(f9(a1,x43931,f890(x43931,x43931)),f313(f313(f10(a881,f890(x43931,f890(x43931,x43931)),a1),f84(x43931)),a183)),f173(x43931,x43933,x43934,x43935))),f313(f313(f10(a883,x43931,a1),x43934),f313(f313(f9(a1,a883,a883),f313(f313(f10(a883,f890(a883,a883),a1),f73(a883)),a96)),x43935)))),f173(x43931,x43933,x43934,f313(f313(f73(a883),f313(f95(a883),x43932)),x43935)))
% 119.46/119.23 [4428]E(f313(f313(f79(a1,x44281),f313(f95(a1),f313(f313(f73(a1),x44282),a88))),f313(f313(f20(a1,x44281,x44281),f313(f313(f9(a1,x44281,f890(x44281,x44281)),f313(f313(f10(a881,f890(x44281,f890(x44281,x44281)),a1),f84(x44281)),a183)),f313(f172(x44281,x44283,x44284),x44285))),f313(f313(f20(a1,x44281,x44281),f313(f313(f10(a883,f890(x44281,x44281),a1),x44284),f313(f313(f9(a1,a883,a883),f313(f313(f10(a883,f890(a883,a883),a1),f73(a883)),a96)),x44285))),f313(f313(f10(a883,x44281,a1),f172(x44281,x44283,x44284)),f313(f313(f9(a1,a883,a883),f313(f313(f10(a883,f890(a883,a883),a1),f73(a883)),a96)),x44285))))),f313(f172(x44281,x44283,x44284),f313(f313(f73(a883),f313(f95(a883),x44282)),x44285)))
% 119.46/119.23 [4461]E(f313(f250(f889(x44611,x44612)),f313(f245(x44611,x44612,a881),f313(f313(f10(f890(x44612,f890(x44613,a881)),f890(x44612,a881),x44611),f313(f10(f890(x44613,a881),a881,x44612),f80(x44613))),f313(f313(f9(x44611,f890(x44612,f890(x44613,a881)),f890(x44612,f890(x44613,a881))),f313(f313(f10(f890(f890(x44613,a881),f890(x44613,a881)),f890(f890(x44612,f890(x44613,a881)),f890(x44612,f890(x44613,a881))),x44611),f10(f890(x44613,a881),f890(x44613,a881),x44612)),f313(f313(f10(f890(x44613,f890(a881,a881)),f890(f890(x44613,a881),f890(x44613,a881)),x44611),f20(x44613,a881,a881)),f313(f313(f10(f890(x44613,a881),f890(x44613,f890(a881,a881)),x44611),f313(f10(a881,f890(a881,a881),x44613),a311)),f313(f313(f9(x44611,f890(f889(x44611,x44613),a881),f890(x44613,a881)),f313(f313(f10(f890(x44613,f890(f890(f889(x44611,x44613),a881),a881)),f890(f890(f889(x44611,x44613),a881),f890(x44613,a881)),x44611),f9(x44613,f890(f889(x44611,x44613),a881),a881)),f313(f313(f10(f890(x44613,f889(x44611,x44613)),f890(x44613,f890(f890(f889(x44611,x44613),a881),a881)),x44611),f313(f10(f889(x44611,x44613),f890(f890(f889(x44611,x44613),a881),a881),x44613),f315(f889(x44611,x44613)))),f240(x44611,x44613)))),x44614))))),f313(f313(f9(x44612,f890(f889(x44613,x44612),a881),f890(x44613,a881)),f313(f313(f10(f890(x44613,f890(f890(f889(x44613,x44612),a881),a881)),f890(f890(f889(x44613,x44612),a881),f890(x44613,a881)),x44612),f9(x44613,f890(f889(x44613,x44612),a881),a881)),f313(f313(f10(f890(x44613,f889(x44613,x44612)),f890(x44613,f890(f890(f889(x44613,x44612),a881),a881)),x44612),f313(f10(f889(x44613,x44612),f890(f890(f889(x44613,x44612),a881),a881),x44613),f315(f889(x44613,x44612)))),f313(f9(x44613,x44612,f889(x44613,x44612)),f240(x44613,x44612))))),x44615))))),f313(f313(f275(x44611,x44613,x44612),x44614),x44615))
% 119.46/119.23 [4082]E(f214(x40821,x40822,x40823,x40824,f210(x40821,x40822,x40825,x40826)),f313(f313(x40824,x40825),x40826))
% 119.46/119.23 [4083]E(f215(x40831,x40832,x40833,x40834,f210(x40831,x40832,x40835,x40836)),f313(f313(x40834,x40835),x40836))
% 119.46/119.23 [4225]E(f68(x42251,x42252,f68(x42251,x42252,x42253,x42254,x42255),x42254,x42256),f68(x42251,x42252,x42253,x42254,x42256))
% 119.46/119.23 [4333]E(f313(f66(f889(x43331,x43332),x43332,f889(x43333,x43334),f244(x43331,x43332)),f246(x43333,x43331,x43334,x43332,x43335,x43336)),f313(f66(x43334,x43332,f889(x43333,x43334),x43336),f244(x43333,x43334)))
% 119.46/119.23 [4334]E(f313(f66(f889(x43341,x43342),x43341,f889(x43343,x43344),f239(x43341,x43342)),f246(x43343,x43341,x43344,x43342,x43345,x43346)),f313(f66(x43343,x43341,f889(x43343,x43344),x43345),f239(x43343,x43344)))
% 119.46/119.23 [3956]E(f313(f313(f66(x39561,x39562,x39563,x39564),x39565),x39566),f313(x39564,f313(x39565,x39566)))
% 119.46/119.23 [3957]E(f313(f313(f66(x39571,x39572,x39573,x39574),x39575),x39576),f313(x39574,f313(x39575,x39576)))
% 119.46/119.23 [4092]E(f213(x40921,f889(x40922,f884(x40922)),x40923,f313(f245(x40922,f884(x40922),x40921),x40924),f313(f123(x40922),f116(x40922,x40925,x40926))),f313(f313(x40924,x40925),x40926))
% 119.46/119.23 [4142]E(f216(x41421,x41422,x41423,x41424,f210(x41421,x41422,x41425,x41426)),f313(f313(f73(a883),f313(f313(f73(a883),f313(x41423,x41425)),f313(x41424,x41426))),f313(a103,f2(a883))))
% 119.46/119.23 [3759]E(f313(f313(f245(x37591,x37592,x37593),x37594),f313(f313(f240(x37591,x37592),x37595),x37596)),f313(f313(x37594,x37595),x37596))
% 119.46/119.23 [3760]E(f313(f313(f245(x37601,x37602,x37603),x37604),f313(f313(f240(x37601,x37602),x37605),x37606)),f313(f313(x37604,x37605),x37606))
% 119.46/119.23 [3761]E(f313(f313(f245(x37611,x37612,x37613),x37614),f313(f313(f240(x37611,x37612),x37615),x37616)),f313(f313(x37614,x37615),x37616))
% 119.46/119.23 [3821]E(f313(f313(f313(f10(x38211,x38212,x38213),x38214),x38215),x38216),f313(x38214,f313(x38215,x38216)))
% 119.46/119.23 [3822]E(f313(f313(f313(f9(x38221,x38222,x38223),x38224),x38225),x38226),f313(f313(x38224,x38226),x38225))
% 119.46/119.23 [3838]E(f313(f313(f313(f20(x38381,x38382,x38383),x38384),x38385),x38386),f313(f313(x38384,x38386),f313(x38385,x38386)))
% 119.46/119.23 [3860]E(f313(f144(x38601,x38602,x38603,x38604),f313(f313(f139(x38602),x38605),x38606)),f313(f313(x38604,x38605),x38606))
% 119.46/119.23 [3896]E(f157(f889(x38961,x38962),f313(f313(f227(a883),x38963),x38964),f313(f313(f240(x38961,x38962),x38965),x38966)),f313(f313(f169(x38961,x38962),f157(x38961,x38963,x38965)),f157(x38962,x38964,x38966)))
% 119.46/119.23 [3961]E(f313(f313(f139(f889(x39611,x39612)),f313(f313(f240(x39611,x39612),x39613),x39614)),f313(f313(f169(x39611,x39612),x39615),x39616)),f313(f313(f169(x39611,x39612),f313(f313(f139(x39611),x39613),x39615)),f313(f313(f139(x39612),x39614),x39616)))
% 119.46/119.23 [3962]E(f313(f313(f142(x39621,x39622),x39623),f313(f313(f147(x39621,x39624),x39625),x39626)),f313(f313(f147(x39622,f313(f313(f142(x39621,x39622),x39623),x39624)),x39625),f313(x39623,x39626)))
% 119.46/119.23 [3983]E(f313(f313(f243(x39831,x39832,x39833,x39834),x39835),x39836),f313(x39834,f313(f313(f240(x39831,x39832),x39835),x39836)))
% 119.46/119.23 [3984]E(f313(f313(f243(x39841,x39842,x39843,x39844),x39845),x39846),f313(x39844,f313(f313(f240(x39841,x39842),x39845),x39846)))
% 119.46/119.23 [4000]E(f313(f130(x40001,x40002,x40003,x40004),f313(f313(f139(x40002),x40005),x40006)),f313(f130(x40001,x40002,x40003,f313(f313(x40003,x40004),x40005)),x40006))
% 119.46/119.23 [4025]E(f248(x40251,x40252,x40253,x40254,f313(f313(f240(x40251,x40252),x40255),x40256)),f313(f313(x40254,x40255),x40256))
% 119.46/119.23 [4106]E(f313(f313(f33(x41061,f890(x41062,a881)),x41063),f313(f66(x41064,f890(x41062,a881),x41061,x41065),x41066)),f313(f313(f33(x41064,f890(x41062,a881)),f313(f296(x41061,x41064,x41066),x41063)),x41065))
% 119.46/119.23 [4155]E(f313(f313(f142(x41551,x41552),x41553),f313(f313(f142(x41554,x41551),x41555),x41556)),f313(f313(f142(x41554,x41552),f313(f66(x41551,x41552,x41554,x41553),x41555)),x41556))
% 119.46/119.23 [4156]E(f313(f313(f142(x41561,x41562),x41563),f313(f313(f142(x41564,x41561),x41565),x41566)),f313(f313(f142(x41564,x41562),f313(f66(x41561,x41562,x41564,x41563),x41565)),x41566))
% 119.46/119.23 [4162]E(f313(f296(x41621,x41622,f313(f66(x41623,x41622,x41621,x41624),x41625)),x41626),f313(f296(x41623,x41622,x41624),f313(f296(x41621,x41623,x41625),x41626)))
% 119.46/119.23 [4163]E(f313(f297(x41631,x41632,f313(f66(x41633,x41632,x41631,x41634),x41635)),x41636),f313(f297(x41631,x41633,x41635),f313(f297(x41633,x41632,x41634),x41636)))
% 119.46/119.23 [4191]E(f313(f130(x41911,x41912,x41913,f313(f130(x41911,x41912,x41913,x41914),x41915)),x41916),f313(f130(x41911,x41912,x41913,x41914),f313(f313(f122(x41912),x41915),x41916)))
% 119.46/119.23 [4323]E(f313(f246(x43231,x43231,x43232,x43233,f25(x43231),x43234),f313(f313(f240(x43231,x43232),x43235),x43236)),f313(f313(f240(x43231,x43233),x43235),f313(x43234,x43236)))
% 119.46/119.23 [4324]E(f313(f246(x43241,x43242,x43243,x43243,x43244,f25(x43243)),f313(f313(f240(x43241,x43243),x43245),x43246)),f313(f313(f240(x43242,x43243),f313(x43244,x43245)),x43246))
% 119.46/119.23 [4411]E(f313(f313(f142(f889(x44111,x44112),f889(x44111,x44113)),f313(f245(x44111,x44112,f889(x44111,x44113)),f313(f313(f9(x44111,f890(x44112,x44113),f890(x44112,f889(x44111,x44113))),f313(f313(f10(f890(x44113,f889(x44111,x44113)),f890(f890(x44112,x44113),f890(x44112,f889(x44111,x44113))),x44111),f10(x44113,f889(x44111,x44113),x44112)),f240(x44111,x44113))),x44114))),f313(f313(f169(x44111,x44112),x44115),x44116)),f313(f313(f169(x44111,x44113),x44115),f313(f313(f142(x44112,x44113),x44114),x44116)))
% 119.46/119.23 [4009]E(f313(f313(f66(x40091,x40092,x40093,f313(f18(x40092,x40091),x40094)),x40095),x40096),x40094)
% 119.46/119.23 [4041]E(f313(f296(x40411,x40412,x40413),f313(f296(x40414,x40411,x40415),x40416)),f313(f296(x40414,x40412,f313(f313(f10(x40411,x40412,x40414),x40413),x40415)),x40416))
% 119.46/119.23 [4047]E(f313(f313(f32(x40471,f890(x40472,a881)),f313(f296(x40473,x40471,x40474),x40475)),x40476),f313(f313(f32(x40473,f890(x40472,a881)),x40475),f313(f313(f10(x40471,f890(x40472,a881),x40473),x40476),x40474)))
% 119.46/119.23 [4048]E(f313(f313(f33(x40481,f890(x40482,a881)),f313(f296(x40483,x40481,x40484),x40485)),x40486),f313(f313(f33(x40483,f890(x40482,a881)),x40485),f313(f313(f10(x40481,f890(x40482,a881),x40483),x40486),x40484)))
% 119.46/119.23 [4049]E(f313(f313(f32(x40491,f890(x40492,a881)),x40493),f313(f313(f10(x40494,f890(x40492,a881),x40491),x40495),x40496)),f313(f313(f32(x40494,f890(x40492,a881)),f313(f296(x40491,x40494,x40496),x40493)),x40495))
% 119.46/119.23 [4050]E(f313(f313(f33(x40501,f890(x40502,a881)),x40503),f313(f313(f10(x40504,f890(x40502,a881),x40501),x40505),x40506)),f313(f313(f33(x40504,f890(x40502,a881)),f313(f296(x40501,x40504,x40506),x40503)),x40505))
% 119.46/119.23 [4108]E(f313(f313(f33(x41081,f890(x41082,a881)),x41083),f313(f313(f10(f890(x41084,a881),f890(x41082,a881),x41081),f296(x41084,x41082,x41085)),x41086)),f313(f296(x41084,x41082,x41085),f313(f313(f33(x41081,f890(x41084,a881)),x41083),x41086)))
% 119.46/119.23 [4109]E(f313(f313(f33(x41091,f890(x41092,a881)),x41093),f313(f313(f10(f890(x41094,a881),f890(x41092,a881),x41091),f271(x41094,x41092,x41095)),x41096)),f313(f271(x41094,x41092,x41095),f313(f313(f33(x41091,f890(x41094,a881)),x41093),x41096)))
% 119.46/119.23 [4110]E(f313(f313(f32(x41101,f890(x41102,a881)),x41103),f313(f313(f10(f890(x41104,a881),f890(x41102,a881),x41101),f297(x41102,x41104,x41105)),x41106)),f313(f297(x41102,x41104,x41105),f313(f313(f32(x41101,f890(x41104,a881)),x41103),x41106)))
% 119.46/119.23 [4111]E(f313(f313(f33(x41111,f890(x41112,a881)),x41113),f313(f313(f10(f890(x41114,a881),f890(x41112,a881),x41111),f297(x41112,x41114,x41115)),x41116)),f313(f297(x41112,x41114,x41115),f313(f313(f33(x41111,f890(x41114,a881)),x41113),x41116)))
% 119.46/119.23 [4196]E(f313(f130(x41961,x41962,f313(f9(x41962,x41961,x41961),x41963),x41964),f313(f156(x41962),f313(f313(f139(x41962),x41965),x41966))),f313(f313(x41963,x41965),f313(f130(x41961,x41962,f313(f9(x41962,x41961,x41961),x41963),x41964),f313(f156(x41962),x41966))))
% 119.46/119.23 [4252]E(f313(f313(f20(f889(x42521,x42522),x42522,x42523),f313(f313(f10(x42524,f890(x42522,x42523),f889(x42521,x42522)),x42525),f313(f313(f10(x42521,x42524,f889(x42521,x42522)),x42526),f239(x42521,x42522)))),f244(x42521,x42522)),f313(f245(x42521,x42522,x42523),f313(f313(f10(x42524,f890(x42522,x42523),x42521),x42525),x42526)))
% 119.46/119.23 [4259]E(f313(f130(x42591,x42592,f313(f9(x42592,x42591,x42591),x42593),f313(f130(x42591,x42592,f313(f9(x42592,x42591,x42591),x42593),x42594),f313(f156(x42592),x42595))),f313(f156(x42592),x42596)),f313(f130(x42591,x42592,f313(f9(x42592,x42591,x42591),x42593),x42594),f313(f156(x42592),f313(f313(f122(x42592),x42596),x42595))))
% 119.46/119.23 [4261]E(f313(f313(f142(f889(x42611,x42612),f889(x42613,x42612)),f313(f245(x42611,x42612,f889(x42613,x42612)),f313(f313(f10(x42613,f890(x42612,f889(x42613,x42612)),x42611),f240(x42613,x42612)),x42614))),f313(f313(f169(x42611,x42612),x42615),x42616)),f313(f313(f169(x42613,x42612),f313(f313(f142(x42611,x42613),x42614),x42615)),x42616))
% 119.46/119.23 [4306]P1(f313(f313(f222(f890(x43061,a881)),f313(f271(x43062,x43061,x43063),f313(f313(f32(x43064,f890(x43062,a881)),x43065),x43066))),f313(f313(f32(x43064,f890(x43061,a881)),x43065),f313(f313(f10(f890(x43062,a881),f890(x43061,a881),x43064),f271(x43062,x43061,x43063)),x43066))))
% 119.46/119.23 [4121]E(f313(f313(f169(x41211,x41212),f313(f313(f147(x41211,x41213),x41214),f313(f239(x41211,x41212),x41215))),f313(f313(f147(x41212,x41216),x41214),f313(f244(x41211,x41212),x41215))),f313(f313(f147(f889(x41211,x41212),f313(f313(f169(x41211,x41212),x41213),x41216)),x41214),x41215))
% 119.46/119.23 [4179]E(f313(f313(f92(f890(f889(x41791,x41792),a881)),f313(f313(f275(x41791,x41793,x41792),x41794),x41795)),f313(f313(f275(x41791,x41793,x41792),x41794),x41796)),f313(f313(f275(x41791,x41793,x41792),x41794),f313(f313(f92(f890(f889(x41793,x41792),a881)),x41795),x41796)))
% 119.46/119.23 [4271]E(f313(f313(f295(f889(x42711,x42712)),f313(f313(f240(x42711,x42712),x42713),x42714)),f313(f313(f92(f890(f889(x42711,x42712),a881)),f313(f313(f242(x42711,x42712),x42715),f313(f18(f890(x42712,a881),x42711),f313(f313(f295(x42712),x42714),x42716)))),f313(f313(f242(x42711,x42712),f313(f313(f295(x42711),x42713),x42715)),f313(f18(f890(x42712,a881),x42711),x42716)))),f313(f313(f242(x42711,x42712),f313(f313(f295(x42711),x42713),x42715)),f313(f18(f890(x42712,a881),x42711),f313(f313(f295(x42712),x42714),x42716))))
% 119.46/119.23 [4349]E(f313(f313(f93(f890(x43491,a881)),f313(f297(x43491,x43492,f313(f66(f889(x43492,x43493),x43492,x43491,f239(x43492,x43493)),x43494)),x43495)),f313(f297(x43491,x43493,f313(f66(f889(x43492,x43493),x43493,x43491,f244(x43492,x43493)),x43494)),x43496)),f313(f297(x43491,f889(x43492,x43493),x43494),f313(f313(f242(x43492,x43493),x43495),f313(f18(f890(x43493,a881),x43492),x43496))))
% 119.46/119.23 [4202]E(f313(f313(f92(f890(f889(x42021,x42022),a881)),f313(f313(f275(x42021,x42023,x42022),x42024),x42025)),f313(f313(f275(x42021,x42023,x42022),x42026),x42025)),f313(f313(f275(x42021,x42023,x42022),f313(f313(f92(f890(f889(x42021,x42023),a881)),x42024),x42026)),x42025))
% 119.46/119.23 [4328]E(f313(f313(f32(x43281,f890(x43282,a881)),x43283),f313(f313(f9(x43281,f890(x43284,f890(x43282,a881)),f890(x43282,a881)),f313(f313(f10(f890(x43284,a881),f890(f890(x43284,f890(x43282,a881)),f890(x43282,a881)),x43281),f32(x43284,f890(x43282,a881))),x43285)),x43286)),f313(f313(f32(x43284,f890(x43282,a881)),f313(f313(f33(x43281,f890(x43284,a881)),x43283),x43285)),x43286))
% 119.46/119.23 [4329]E(f313(f313(f33(x43291,f890(x43292,a881)),x43293),f313(f313(f9(x43291,f890(x43294,f890(x43292,a881)),f890(x43292,a881)),f313(f313(f10(f890(x43294,a881),f890(f890(x43294,f890(x43292,a881)),f890(x43292,a881)),x43291),f33(x43294,f890(x43292,a881))),x43295)),x43296)),f313(f313(f33(x43294,f890(x43292,a881)),f313(f313(f33(x43291,f890(x43294,a881)),x43293),x43295)),x43296))
% 119.46/119.23 [4330]E(f313(f313(f33(x43301,f890(x43302,a881)),x43303),f313(f313(f9(x43301,f890(x43304,f890(x43302,a881)),f890(x43302,a881)),f313(f313(f10(f890(x43304,a881),f890(f890(x43304,f890(x43302,a881)),f890(x43302,a881)),x43301),f33(x43304,f890(x43302,a881))),x43305)),x43306)),f313(f313(f33(x43304,f890(x43302,a881)),f313(f313(f33(x43301,f890(x43304,a881)),x43303),x43305)),x43306))
% 119.46/119.23 [4331]E(f313(f313(f32(x43311,f890(x43312,a881)),x43313),f313(f313(f9(x43311,f890(x43314,f890(x43312,a881)),f890(x43312,a881)),f313(f313(f10(f890(x43314,a881),f890(f890(x43314,f890(x43312,a881)),f890(x43312,a881)),x43311),f32(x43314,f890(x43312,a881))),x43315)),x43316)),f313(f313(f32(x43314,f890(x43312,a881)),f313(f313(f33(x43311,f890(x43314,a881)),x43313),x43315)),x43316))
% 119.46/119.23 [4332]E(f313(f313(f33(x43321,f890(x43322,a881)),x43323),f313(f313(f9(x43321,f890(x43324,f890(x43322,a881)),f890(x43322,a881)),f313(f313(f10(f890(x43324,a881),f890(f890(x43324,f890(x43322,a881)),f890(x43322,a881)),x43321),f33(x43324,f890(x43322,a881))),x43325)),x43326)),f313(f313(f33(x43324,f890(x43322,a881)),f313(f313(f33(x43321,f890(x43324,a881)),x43323),x43325)),x43326))
% 119.46/119.23 [4383]E(f313(f245(x43831,x43832,f889(x43833,x43834)),f313(f313(f9(x43831,f890(x43832,x43834),f890(x43832,f889(x43833,x43834))),f313(f313(f10(f890(x43834,f889(x43833,x43834)),f890(f890(x43832,x43834),f890(x43832,f889(x43833,x43834))),x43831),f10(x43834,f889(x43833,x43834),x43832)),f313(f313(f10(x43833,f890(x43834,f889(x43833,x43834)),x43831),f240(x43833,x43834)),x43835))),x43836)),f246(x43831,x43833,x43832,x43834,x43835,x43836))
% 119.46/119.23 [4406]E(f313(f296(x44061,x44062,f313(f313(f20(x44061,x44062,x44062),f313(f313(f20(x44061,x44062,f890(x44062,x44062)),f313(f313(f10(a881,f890(x44062,f890(x44062,x44062)),x44061),f84(x44062)),x44063)),x44064)),x44065)),x44066),f313(f313(f92(f890(x44062,a881)),f313(f296(x44061,x44062,x44064),f313(f313(f93(f890(x44061,a881)),x44066),f313(f250(x44061),x44063)))),f313(f296(x44061,x44062,x44065),f313(f313(f93(f890(x44061,a881)),x44066),f313(f250(x44061),f313(f313(f10(a881,a881,x44061),a308),x44063))))))
% 119.46/119.23 [4418]E(f313(f296(x44181,f889(x44182,x44183),f313(f313(f20(x44181,x44183,f889(x44182,x44183)),f313(f313(f10(x44182,f890(x44183,f889(x44182,x44183)),x44181),f240(x44182,x44183)),x44184)),x44185)),x44186),f313(f313(f242(x44182,x44183),f313(f296(x44181,x44182,x44184),x44186)),f313(f313(f10(f890(x44181,a881),f890(x44183,a881),x44182),f296(x44181,x44183,x44185)),f313(f313(f9(x44182,f890(x44181,a881),f890(x44181,a881)),f313(f313(f10(f890(x44181,a881),f890(f890(x44181,a881),f890(x44181,a881)),x44182),f93(f890(x44181,a881))),f313(f313(f10(f890(x44182,a881),f890(x44181,a881),x44182),f297(x44181,x44182,x44184)),f313(f313(f9(x44182,f890(x44182,a881),f890(x44182,a881)),f295(x44182)),f178(f890(x44182,a881)))))),x44186))))
% 119.46/119.23 [4443]E(f234(x44431,x44432,x44433,x44434,x44435,x44436),f313(x44434,f313(f250(x44431),f313(f313(f10(f890(f890(x44433,x44431),a881),a881,x44431),f80(f890(x44433,x44431))),f313(f313(f10(f890(f890(x44433,x44431),a881),f890(f890(x44433,x44431),a881),x44431),f313(f20(f890(x44433,x44431),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x44433,x44431)),a311),f313(f313(f9(f890(x44433,x44431),f890(f890(x44433,x44431),a881),a881),f315(f890(x44433,x44431))),x44435)))),f313(f313(f9(x44431,f890(f890(x44433,x44431),x44431),f890(f890(x44433,x44431),a881)),f313(f313(f10(f890(x44431,a881),f890(f890(f890(x44433,x44431),x44431),f890(f890(x44433,x44431),a881)),x44431),f10(x44431,a881,f890(x44433,x44431))),a310)),f313(f313(f9(f890(x44433,x44431),x44433,x44431),f7(f890(x44433,x44431))),x44436)))))))
% 119.46/119.23 [4233]E(f313(f66(x42331,x42332,x42333,x42334),f68(x42333,x42331,x42335,x42336,x42337)),f68(x42333,x42332,f313(f66(x42331,x42332,x42333,x42334),x42335),x42336,f313(x42334,x42337)))
% 119.46/119.23 [4366]E(f313(f244(x43661,x43662),f313(f246(x43663,x43661,x43664,x43662,x43665,x43666),x43667)),f313(x43666,f313(f244(x43663,x43664),x43667)))
% 119.46/119.23 [4367]E(f313(f239(x43671,x43672),f313(f246(x43673,x43671,x43674,x43672,x43675,x43676),x43677)),f313(x43675,f313(f239(x43673,x43674),x43677)))
% 119.46/119.23 [4084]E(f313(f313(f169(x40841,x40842),f313(f313(f147(x40841,x40843),x40844),x40845)),f313(f313(f147(x40842,x40846),x40844),x40847)),f313(f313(f147(f889(x40841,x40842),f313(f313(f169(x40841,x40842),x40843),x40846)),x40844),f313(f313(f240(x40841,x40842),x40845),x40847)))
% 119.46/119.23 [4150]E(f313(f313(f313(f247(x41501,x41502,x41503,x41504),x41505),x41506),x41507),f313(f313(f245(x41502,x41503,x41504),x41506),f313(x41505,x41507)))
% 119.46/119.23 [4151]E(f313(f313(f313(f247(x41511,x41512,x41513,x41514),x41515),x41516),x41517),f313(f313(f245(x41512,x41513,x41514),x41516),f313(x41515,x41517)))
% 119.46/119.23 [4161]E(f313(f313(f313(f247(x41611,x41612,x41613,x41614),x41615),x41616),x41617),f313(f313(x41616,f313(f239(x41612,x41613),f313(x41615,x41617))),f313(f244(x41612,x41613),f313(x41615,x41617))))
% 119.46/119.23 [4211]E(f313(f66(x42111,x42112,x42113,x42114),f313(f66(x42115,x42111,x42113,x42116),x42117)),f313(f66(x42115,x42112,x42113,f313(f66(x42111,x42112,x42115,x42114),x42116)),x42117))
% 119.46/119.23 [4387]E(f313(f246(x43871,x43872,x43873,x43873,x43874,f25(x43873)),f313(f246(x43871,x43871,x43875,x43873,f25(x43871),x43876),x43877)),f313(f313(f240(x43872,x43873),f313(x43874,f313(f239(x43871,x43875),x43877))),f313(x43876,f313(f244(x43871,x43875),x43877))))
% 119.46/119.23 [4388]E(f313(f246(x43881,x43881,x43882,x43883,f25(x43881),x43884),f313(f246(x43885,x43881,x43882,x43882,x43886,f25(x43882)),x43887)),f313(f313(f240(x43881,x43883),f313(x43886,f313(f239(x43885,x43882),x43887))),f313(x43884,f313(f244(x43885,x43882),x43887))))
% 119.46/119.23 [4404]E(f313(f246(x44041,x44042,x44043,x44043,x44044,f25(x44043)),f313(f246(x44045,x44041,x44043,x44043,x44046,f25(x44043)),x44047)),f313(f246(x44045,x44042,x44043,x44043,f313(f66(x44041,x44042,x44045,x44044),x44046),f25(x44043)),x44047))
% 119.46/119.23 [4405]E(f313(f246(x44051,x44051,x44052,x44053,f25(x44051),x44054),f313(f246(x44051,x44051,x44055,x44052,f25(x44051),x44056),x44057)),f313(f246(x44051,x44051,x44055,x44053,f25(x44051),f313(f66(x44052,x44053,x44055,x44054),x44056)),x44057))
% 119.46/119.23 [4415]E(f313(f246(x44151,x44152,x44153,x44153,x44154,f25(x44153)),f313(f246(x44151,x44151,x44155,x44153,f25(x44151),x44156),x44157)),f313(f246(x44152,x44152,x44155,x44153,f25(x44152),x44156),f313(f246(x44151,x44152,x44155,x44155,x44154,f25(x44155)),x44157)))
% 119.46/119.23 [4118]E(f313(f313(f275(x41181,x41182,x41183),f313(f313(f275(x41181,x41184,x41182),x41185),x41186)),x41187),f313(f313(f275(x41181,x41184,x41183),x41185),f313(f313(f275(x41184,x41182,x41183),x41186),x41187)))
% 119.46/119.23 [4185]E(f313(f313(f245(x41851,x41852,x41853),f313(f66(x41854,f890(x41852,x41853),x41851,x41855),x41856)),x41857),f313(f313(x41855,f313(x41856,f313(f239(x41851,x41852),x41857))),f313(f244(x41851,x41852),x41857)))
% 119.46/119.23 [4264]E(f313(f130(x42641,x42642,f313(f9(x42642,x42641,x42641),x42643),x42644),f313(f156(x42642),f313(f313(f142(x42645,x42642),x42646),x42647))),f313(f130(x42641,x42645,f313(f9(x42645,x42641,x42641),f313(f66(x42642,f890(x42641,x42641),x42645,x42643),x42646)),x42644),f313(f156(x42645),x42647)))
% 119.46/119.23 [4212]E(f313(f313(f33(x42121,f890(f889(x42122,x42123),a881)),x42124),f313(f313(f10(f890(f889(x42125,x42123),a881),f890(f889(x42122,x42123),a881),x42121),f313(f275(x42122,x42125,x42123),x42126)),x42127)),f313(f313(f275(x42122,x42125,x42123),x42126),f313(f313(f33(x42121,f890(f889(x42125,x42123),a881)),x42124),x42127)))
% 119.46/119.23 [4354]E(f313(f313(f33(x43541,f890(f889(x43542,x43543),a881)),x43544),f313(f313(f9(x43541,f890(f889(x43545,x43543),a881),f890(f889(x43542,x43543),a881)),f313(f313(f10(f890(f889(x43542,x43545),a881),f890(f890(f889(x43545,x43543),a881),f890(f889(x43542,x43543),a881)),x43541),f275(x43542,x43545,x43543)),x43546)),x43547)),f313(f313(f275(x43542,x43545,x43543),f313(f313(f33(x43541,f890(f889(x43542,x43545),a881)),x43544),x43546)),x43547))
% 119.46/119.23 [4355]E(f313(f130(x43551,x43552,f313(f313(f9(x43551,f890(x43552,x43553),f890(x43552,x43551)),f313(f313(f10(f890(x43553,x43551),f890(f890(x43552,x43553),f890(x43552,x43551)),x43551),f10(x43553,x43551,x43552)),x43554)),x43555),x43556),x43557),f313(f130(x43551,x43553,x43554,x43556),f313(f313(f142(x43552,x43553),x43555),x43557)))
% 119.46/119.23 [4416]E(f313(f313(f32(x44161,f890(x44162,a881)),x44163),f313(f313(f10(f890(x44164,f890(x44162,a881)),f890(x44162,a881),x44161),f313(f32(x44164,f890(x44162,a881)),x44165)),f313(f313(f9(x44161,f890(x44164,f890(x44162,a881)),f890(x44164,f890(x44162,a881))),f313(f313(f10(f890(f890(x44162,a881),f890(x44162,a881)),f890(f890(x44164,f890(x44162,a881)),f890(x44164,f890(x44162,a881))),x44161),f10(f890(x44162,a881),f890(x44162,a881),x44164)),f313(f313(f10(f890(x44162,a881),f890(f890(x44162,a881),f890(x44162,a881)),x44161),f92(f890(x44162,a881))),x44166))),x44167))),f313(f313(f92(f890(x44162,a881)),f313(f313(f32(x44161,f890(x44162,a881)),x44163),x44166)),f313(f313(f32(x44164,f890(x44162,a881)),x44165),x44167)))
% 119.46/119.23 [4417]E(f313(f313(f33(x44171,f890(x44172,a881)),x44173),f313(f313(f10(f890(x44174,f890(x44172,a881)),f890(x44172,a881),x44171),f313(f33(x44174,f890(x44172,a881)),x44175)),f313(f313(f9(x44171,f890(x44174,f890(x44172,a881)),f890(x44174,f890(x44172,a881))),f313(f313(f10(f890(f890(x44172,a881),f890(x44172,a881)),f890(f890(x44174,f890(x44172,a881)),f890(x44174,f890(x44172,a881))),x44171),f10(f890(x44172,a881),f890(x44172,a881),x44174)),f313(f313(f10(f890(x44172,a881),f890(f890(x44172,a881),f890(x44172,a881)),x44171),f93(f890(x44172,a881))),x44176))),x44177))),f313(f313(f93(f890(x44172,a881)),f313(f313(f33(x44171,f890(x44172,a881)),x44173),x44176)),f313(f313(f33(x44174,f890(x44172,a881)),x44175),x44177)))
% 119.46/119.23 [4409]E(f187(x44091,x44092,f313(f313(f313(x44093,x44094),x44095),x44096),f313(f313(f9(x44091,f889(a90,a90),f890(a90,f884(x44092))),f313(f313(f9(x44091,a90,f890(f889(a90,a90),f890(a90,f884(x44092)))),f313(f313(f9(x44091,a90,f890(a90,f890(f889(a90,a90),f890(a90,f884(x44092))))),x44097),x44094)),x44095)),x44096)),f313(f313(f313(f199(x44091,x44092,x44093,x44097),x44094),x44095),x44096))
% 119.46/119.23 [4423]E(f188(x44231,x44232,f313(f313(f313(x44233,x44234),x44235),x44236),f313(f313(f9(x44231,f889(a90,a90),f890(a90,f884(x44232))),f313(f313(f9(x44231,a90,f890(f889(a90,a90),f890(a90,f884(x44232)))),f313(f313(f9(x44231,a90,f890(a90,f890(f889(a90,a90),f890(a90,f884(x44232))))),x44237),x44234)),x44235)),x44236)),f201(x44231,x44232,x44233,x44237,x44234,x44235,x44236))
% 119.46/119.23 [4414]E(f185(x44141,x44142,f313(f313(f313(x44143,x44144),x44145),x44146),f313(f313(f9(x44141,f889(a90,a90),f890(a90,f884(f887(x44142)))),f313(f313(f9(x44141,a90,f890(f889(a90,a90),f890(a90,f884(f887(x44142))))),f313(f313(f9(x44141,a90,f890(a90,f890(f889(a90,a90),f890(a90,f884(f887(x44142)))))),x44147),x44144)),x44145)),x44146)),f313(f313(f313(f195(x44141,x44142,x44143,x44147),x44144),x44145),x44146))
% 119.46/119.23 [4425]E(f186(x44251,x44252,f313(f313(f313(x44253,x44254),x44255),x44256),f313(f313(f9(x44251,f889(a90,a90),f890(a90,f884(f887(x44252)))),f313(f313(f9(x44251,a90,f890(f889(a90,a90),f890(a90,f884(f887(x44252))))),f313(f313(f9(x44251,a90,f890(a90,f890(f889(a90,a90),f890(a90,f884(f887(x44252)))))),x44257),x44254)),x44255)),x44256)),f197(x44251,x44252,x44253,x44257,x44254,x44255,x44256))
% 119.46/119.23 [4325]E(f313(f246(x43251,x43252,x43253,x43254,x43255,x43256),f313(f313(f240(x43251,x43253),x43257),x43258)),f313(f313(f240(x43252,x43254),f313(x43255,x43257)),f313(x43256,x43258)))
% 119.46/119.23 [4427]E(f313(f313(f142(f889(x44271,x44272),f889(x44273,x44274)),f313(f245(x44271,x44272,f889(x44273,x44274)),f313(f313(f9(x44271,f890(x44272,x44274),f890(x44272,f889(x44273,x44274))),f313(f313(f10(f890(x44274,f889(x44273,x44274)),f890(f890(x44272,x44274),f890(x44272,f889(x44273,x44274))),x44271),f10(x44274,f889(x44273,x44274),x44272)),f313(f313(f10(x44273,f890(x44274,f889(x44273,x44274)),x44271),f240(x44273,x44274)),x44275))),x44276))),f313(f313(f169(x44271,x44272),x44277),x44278)),f313(f313(f169(x44273,x44274),f313(f313(f142(x44271,x44273),x44275),x44277)),f313(f313(f142(x44272,x44274),x44276),x44278)))
% 119.46/119.23 [4430]E(f313(f313(f142(f889(x44301,x44302),x44303),f313(f245(x44301,x44302,x44303),f313(f313(f10(f890(x44302,f889(x44301,x44304)),f890(x44302,x44303),x44301),f313(f10(f889(x44301,x44304),x44303,x44302),x44305)),f313(f313(f9(x44301,f890(x44302,x44304),f890(x44302,f889(x44301,x44304))),f313(f313(f10(f890(x44304,f889(x44301,x44304)),f890(f890(x44302,x44304),f890(x44302,f889(x44301,x44304))),x44301),f10(x44304,f889(x44301,x44304),x44302)),f240(x44301,x44304))),x44306)))),f313(f313(f169(x44301,x44302),x44307),x44308)),f313(f313(f142(f889(x44301,x44304),x44303),x44305),f313(f313(f169(x44301,x44304),x44307),f313(f313(f142(x44302,x44304),x44306),x44308))))
% 119.46/119.23 [4358]E(f313(f313(f142(f889(x43581,x43582),x43583),f313(f245(x43581,x43582,x43583),f313(f313(f10(f890(x43582,f889(x43584,x43582)),f890(x43582,x43583),x43581),f313(f10(f889(x43584,x43582),x43583,x43582),x43585)),f313(f313(f10(x43584,f890(x43582,f889(x43584,x43582)),x43581),f240(x43584,x43582)),x43586)))),f313(f313(f169(x43581,x43582),x43587),x43588)),f313(f313(f142(f889(x43584,x43582),x43583),x43585),f313(f313(f169(x43584,x43582),f313(f313(f142(x43581,x43584),x43586),x43587)),x43588)))
% 119.46/119.23 [4316]E(f313(f313(f245(x43161,x43162,x43163),f313(f313(f10(f890(x43162,f889(x43164,x43165)),f890(x43162,x43163),x43161),f313(f10(f889(x43164,x43165),x43163,x43162),f313(f245(x43164,x43165,x43163),x43166))),x43167)),x43168),f313(f313(f245(x43164,x43165,x43163),x43166),f313(f313(f245(x43161,x43162,f889(x43164,x43165)),x43167),x43168)))
% 119.46/119.23 [4431]E(f313(f313(f33(f889(x44311,x44312),f890(f889(x44313,x44314),a881)),f313(f313(f242(x44311,x44312),x44315),f313(f18(f890(x44312,a881),x44311),x44316))),f313(f245(x44311,x44312,f890(f889(x44313,x44314),a881)),f313(f313(f9(x44311,f890(x44312,f890(x44313,f890(x44314,a881))),f890(x44312,f890(f889(x44313,x44314),a881))),f313(f313(f10(f890(f890(x44313,f890(x44314,a881)),f890(f889(x44313,x44314),a881)),f890(f890(x44312,f890(x44313,f890(x44314,a881))),f890(x44312,f890(f889(x44313,x44314),a881))),x44311),f10(f890(x44313,f890(x44314,a881)),f890(f889(x44313,x44314),a881),x44312)),f313(f313(f10(f890(x44313,a881),f890(f890(x44313,f890(x44314,a881)),f890(f889(x44313,x44314),a881)),x44311),f242(x44313,x44314)),x44317))),f313(f313(f10(f890(x44314,a881),f890(x44313,f890(x44314,a881)),x44312),f18(f890(x44314,a881),x44313)),x44318)))),f313(f313(f242(x44313,x44314),f313(f313(f33(x44311,f890(x44313,a881)),x44315),x44317)),f313(f18(f890(x44314,a881),x44313),f313(f313(f33(x44312,f890(x44314,a881)),x44316),x44318))))
% 119.46/119.23 [4372]E(f313(f313(f247(x43721,x43722,x43723,x43724),f313(f313(f247(x43721,x43725,x43726,f889(x43722,x43723)),x43727),x43728)),x43729),f313(f313(f247(x43721,x43725,x43726,x43724),x43727),f313(f313(f9(x43725,f890(x43722,f890(x43723,x43724)),f890(x43726,x43724)),f313(f313(f10(f890(x43726,f889(x43722,x43723)),f890(f890(x43722,f890(x43723,x43724)),f890(x43726,x43724)),x43725),f247(x43726,x43722,x43723,x43724)),x43728)),x43729)))
% 119.46/119.23 [4400]E(f313(f66(f889(x44001,x44002),f889(x44003,x44004),f889(x44005,x44006),f246(x44001,x44003,x44002,x44004,x44007,x44008)),f246(x44005,x44001,x44006,x44002,x44009,x440010)),f246(x44005,x44003,x44006,x44004,f313(f66(x44001,x44003,x44005,x44007),x44009),f313(f66(x44002,x44004,x44006,x44008),x440010)))
% 119.46/119.23 [4401]E(f313(f66(f889(x44011,x44012),f889(x44013,x44014),f889(x44015,x44016),f246(x44011,x44013,x44012,x44014,x44017,x44018)),f246(x44015,x44011,x44016,x44012,x44019,x440110)),f246(x44015,x44013,x44016,x44014,f313(f66(x44011,x44013,x44015,x44017),x44019),f313(f66(x44012,x44014,x44016,x44018),x440110)))
% 119.46/119.23 [4407]E(f313(f246(x44071,x44072,x44073,x44074,x44075,x44076),f313(f246(x44077,x44071,x44078,x44073,x44079,x440710),x440711)),f313(f246(x44077,x44072,x44078,x44074,f313(f66(x44071,x44072,x44077,x44075),x44079),f313(f66(x44073,x44074,x44078,x44076),x440710)),x440711))
% 119.46/119.23 [4534]~P68(x45341)+P68(f887(x45341))
% 119.46/119.23 [4535]~P69(x45351)+P69(f887(x45351))
% 119.46/119.23 [4536]~P109(x45361)+P109(f885(x45361))
% 119.46/119.23 [4538]~P148(x45381)+~E(f71(x45381),f2(x45381))
% 119.46/119.23 [4539]~P148(x45391)+~E(f71(x45391),f2(x45391))
% 119.46/119.23 [4541]~E(x45411,f2(a90))+E(f313(a24,x45411),f2(a1))
% 119.46/119.23 [4542]~E(x45421,f2(a1))+E(f75(a1,x45421),f2(a1))
% 119.46/119.23 [4548]~P2(x45481)+P28(x45481,f2(x45481))
% 119.46/119.23 [4549]~P4(x45491)+P13(x45491,f104(x45491))
% 119.46/119.23 [4550]~P4(x45501)+P13(x45501,f104(x45501))
% 119.46/119.23 [4559]P1(x45591)+P1(f313(a308,x45591))
% 119.46/119.23 [4613]~P2(x46131)+~P28(x46131,f71(x46131))
% 119.46/119.23 [4650]~P1(x46501)+~P1(f313(a308,x46501))
% 119.46/119.23 [4671]E(f313(a96,x46711),f2(a883))+~P1(f313(a183,x46711))
% 119.46/119.23 [4737]~P101(x47371)+P14(x47371,x47371,f74(x47371))
% 119.46/119.23 [4738]~P4(x47381)+P14(x47381,x47381,f227(x47381))
% 119.46/119.23 [4739]~P4(x47391)+P14(x47391,x47391,f177(x47391))
% 119.46/119.23 [4740]~P102(x47401)+P14(x47401,x47401,f92(x47401))
% 119.46/119.23 [4741]~P108(x47411)+P14(x47411,x47411,f93(x47411))
% 119.46/119.23 [4742]~P64(x47421)+P16(x47421,x47421,f74(x47421))
% 119.46/119.23 [4545]~E(x45451,f2(a883))+E(f313(f91(a1),x45451),f2(a1))
% 119.46/119.23 [4551]~P98(x45511)+E(f313(f95(x45511),a76),f2(x45511))
% 119.46/119.23 [4552]~P98(x45521)+E(f313(f95(x45521),a76),f2(x45521))
% 119.46/119.23 [4555]~E(f565(x45551),f2(a883))+E(f313(f153(a883),x45551),f2(a883))
% 119.46/119.23 [4556]~P112(x45561)+E(f224(x45561,f222(x45561)),f227(x45561))
% 119.46/119.23 [4557]~P112(x45571)+E(f225(x45571,f222(x45571)),f177(x45571))
% 119.46/119.23 [4558]~P92(x45581)+E(f75(x45581,f2(x45581)),f2(x45581))
% 119.46/119.23 [4567]~P2(x45671)+E(f313(f91(x45671),f2(a883)),f2(x45671))
% 119.46/119.23 [4568]~P2(x45681)+E(f313(f91(x45681),f71(a883)),f71(x45681))
% 119.46/119.23 [4569]~P144(x45691)+E(f313(f94(x45691),f2(a1)),f2(x45691))
% 119.46/119.23 [4570]~P144(x45701)+E(f313(f94(x45701),f71(a1)),f71(x45701))
% 119.46/119.23 [4571]E(x45711,f2(a883))+~E(f313(f91(a1),x45711),f2(a1))
% 119.46/119.23 [4607]~P81(x46071)+E(f313(f72(x46071),f2(x46071)),f2(x46071))
% 119.46/119.23 [4608]~P100(x46081)+E(f313(f72(x46081),f178(x46081)),f230(x46081))
% 119.46/119.23 [4609]~P100(x46091)+E(f313(f72(x46091),f230(x46091)),f178(x46091))
% 119.46/119.23 [4610]~P90(x46101)+E(f313(f69(x46101),f2(x46101)),f2(x46101))
% 119.46/119.23 [4611]~P115(x46111)+E(f313(f69(x46111),f71(x46111)),f71(x46111))
% 119.46/119.23 [4612]~P83(x46121)+E(f313(f153(x46121),f104(x46121)),f2(x46121))
% 119.46/119.23 [4630]~P35(x46301)+P40(f313(f160(a1),x46301))
% 119.46/119.23 [4654]~P98(x46541)+E(f313(f72(x46541),f71(x46541)),f313(f95(x46541),a88))
% 119.46/119.23 [4655]~P98(x46551)+E(f313(f72(x46551),f71(x46551)),f313(f95(x46551),a88))
% 119.46/119.23 [4670]~P98(x46701)+P28(x46701,f313(f95(x46701),a76))
% 119.46/119.23 [4696]P35(x46961)+~P40(f313(f160(a1),x46961))
% 119.46/119.23 [4743]E(f313(f91(a1),f313(a96,x47431)),x47431)+P1(f313(a183,x47431))
% 119.46/119.23 [4813]~P116(x48131)+E(f233(x48131,f71(x48131),f74(x48131)),f232(x48131))
% 119.46/119.23 [4846]~P98(x48461)+~P28(x48461,f313(f95(x48461),a88))
% 119.46/119.23 [4942]~E(x49421,f2(a883))+P1(f313(f313(f222(a883),x49421),f2(a883)))
% 119.46/119.23 [4943]~E(x49431,f71(a883))+P1(f313(f313(f273(a883),x49431),f71(a883)))
% 119.46/119.23 [5000]E(f313(f69(a1),x50001),x50001)+P1(f313(f313(f223(a1),x50001),f2(a1)))
% 119.46/119.23 [5018]~E(f313(a96,x50181),f2(a883))+P1(f313(f313(f222(a1),x50181),f2(a1)))
% 119.46/119.23 [5051]~E(f313(f69(a1),x50511),f71(a1))+P1(f313(f313(f273(a1),x50511),f71(a1)))
% 119.46/119.23 [5089]~P1(f313(a183,x50891))+P1(f313(f313(f223(a1),x50891),f2(a1)))
% 119.46/119.23 [5132]~P2(x51321)+P1(f313(f313(f315(x51321),f2(x51321)),f174(x51321)))
% 119.46/119.23 [5133]~P144(x51331)+P1(f313(f313(f315(x51331),f2(x51331)),f101(x51331)))
% 119.46/119.23 [5134]~P2(x51341)+P1(f313(f313(f315(x51341),f71(x51341)),f174(x51341)))
% 119.46/119.23 [5135]~P144(x51351)+P1(f313(f313(f315(x51351),f71(x51351)),f101(x51351)))
% 119.46/119.23 [5136]~P114(x51361)+P1(f313(f313(f222(x51361),f2(x51361)),f71(x51361)))
% 119.46/119.23 [5137]~P114(x51371)+P1(f313(f313(f223(x51371),f2(x51371)),f71(x51371)))
% 119.46/119.23 [5190]E(x51901,f2(a883))+~P1(f313(f313(f222(a883),x51901),f2(a883)))
% 119.46/119.23 [5191]E(x51911,f71(a883))+~P1(f313(f313(f273(a883),x51911),f71(a883)))
% 119.46/119.23 [5232]E(f313(a96,x52321),f2(a883))+~P1(f313(f313(f222(a1),x52321),f2(a1)))
% 119.46/119.23 [5233]E(f313(a96,x52331),f2(a883))+~P1(f313(f313(f222(a1),x52331),f2(a1)))
% 119.46/119.23 [5258]E(f313(f69(a1),x52581),f71(a1))+~P1(f313(f313(f273(a1),x52581),f71(a1)))
% 119.46/119.23 [5292]P1(f313(a183,x52921))+~P1(f313(f313(f223(a1),x52921),f2(a1)))
% 119.46/119.23 [5299]~P4(x52991)+P16(x52991,f885(x52991),f136(x52991,x52991,f7(x52991)))
% 119.46/119.23 [5318]P40(x53181)+~P1(f313(f313(f222(a1),f2(a1)),f319(x53181)))
% 119.46/119.23 [5323]E(f313(f69(a1),x53231),f313(f72(a1),x53231))+~P1(f313(f313(f223(a1),x53231),f2(a1)))
% 119.46/119.23 [5493]~P114(x54931)+~P1(f313(f313(f222(x54931),f71(x54931)),f2(x54931)))
% 119.46/119.23 [5494]~P114(x54941)+~P1(f313(f313(f223(x54941),f71(x54941)),f2(x54941)))
% 119.46/119.23 [5510]~E(x55101,f2(a883))+P1(f313(f313(f222(a1),f313(f91(a1),x55101)),f2(a1)))
% 119.46/119.23 [5511]~E(x55111,f2(a1))+P1(f313(f313(f223(a1),f313(f69(a1),x55111)),f71(a1)))
% 119.46/119.23 [5634]~P83(x56341)+E(f130(x56341,x56341,f73(x56341),f2(x56341)),f153(x56341))
% 119.46/119.23 [5819]~P96(x58191)+P24(a883,x58191,f91(x58191),f230(f890(a883,a881)))
% 119.46/119.23 [6026]E(x60261,f2(a883))+~P1(f313(f313(f222(a1),f313(f91(a1),x60261)),f2(a1)))
% 119.46/119.23 [6027]E(x60271,f2(a1))+~P1(f313(f313(f223(a1),f313(f69(a1),x60271)),f71(a1)))
% 119.46/119.23 [6877]~P1(f313(f313(f223(a1),x68771),f2(a1)))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x68771),x68771)),f2(a1)))
% 119.46/119.23 [7453]P1(f313(f313(f223(a1),x74531),f2(a1)))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x74531),x74531)),f2(a1)))
% 119.46/119.23 [8006]E(x80061,f313(a5,f2(a883)))+P1(f313(f313(f223(a883),f313(f313(f3(a883),f313(a22,x80061)),f313(a103,f2(a883)))),f313(a22,x80061)))
% 119.46/119.23 [8757]~P1(f313(f313(f223(a1),x87571),f2(a1)))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x87571),x87571)),a88)),f2(a1)))
% 119.46/119.23 [8845]~P1(f313(f313(f223(a1),x88451),f2(a1)))+P1(f313(f313(f223(a1),f313(f313(f73(a1),f313(f313(f73(a1),f71(a1)),x88451)),x88451)),f2(a1)))
% 119.46/119.23 [9163]P1(f313(f313(f223(a1),x91631),f2(a1)))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91631),x91631)),a88)),f2(a1)))
% 119.46/119.23 [9225]P1(f313(f313(f223(a1),x92251),f2(a1)))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),f313(f313(f73(a1),f71(a1)),x92251)),x92251)),f2(a1)))
% 119.46/119.23 [4644]~E(a76,x46441)+E(f313(f313(f73(a1),x46441),x46441),a76)
% 119.46/119.23 [4645]~E(x46451,a76)+E(f313(f313(f73(a1),x46451),x46451),a76)
% 119.46/119.23 [4656]E(x46561,f2(a1))+E(f313(f313(f29(a1),x46561),x46561),f71(a1))
% 119.46/119.23 [4790]E(x47901,a76)+~E(f313(f313(f73(a1),x47901),x47901),a76)
% 119.46/119.23 [4791]E(a76,x47911)+~E(f313(f313(f73(a1),x47911),x47911),a76)
% 119.46/119.23 [4793]~P98(x47931)+E(f313(f94(x47931),f313(f95(a1),a88)),f313(f95(x47931),a88))
% 119.46/119.23 [4803]~P5(x48031)+E(f31(x48031,f178(f890(x48031,a881))),f230(x48031))
% 119.46/119.23 [4804]~P5(x48041)+E(f31(x48041,f230(f890(x48041,a881))),f178(x48041))
% 119.46/119.23 [4805]~P5(x48051)+E(f30(x48051,f178(f890(x48051,a881))),f178(x48051))
% 119.46/119.23 [4806]~P5(x48061)+E(f30(x48061,f230(f890(x48061,a881))),f230(x48061))
% 119.46/119.23 [4807]~P4(x48071)+E(f127(x48071,f178(f890(x48071,a881))),f104(x48071))
% 119.46/119.23 [4954]E(x49541,f2(a883))+P1(f313(f313(f223(a883),f2(a883)),x49541))
% 119.46/119.23 [4955]E(x49551,f2(a883))+P1(f313(f313(f223(a883),f2(a883)),x49551))
% 119.46/119.23 [4975]~P6(x49751)+P1(f313(f313(f222(a1),f2(a1)),x49751))
% 119.46/119.23 [5008]~E(f313(f95(a883),x50081),f2(a883))+P1(f313(f313(f222(a1),x50081),a76))
% 119.46/119.23 [5009]~E(f313(f95(a883),x50091),f2(a883))+P1(f313(f313(f222(a1),x50091),a76))
% 119.46/119.23 [5014]P40(x50141)+P1(f313(f313(f315(a1),f319(x50141)),x50141))
% 119.46/119.23 [5015]E(x50151,f313(a5,f2(a883)))+P1(f313(f313(f222(a90),f71(a90)),x50151))
% 119.46/119.23 [5059]P1(f313(a183,x50591))+P1(f313(f313(f222(a1),f2(a1)),x50591))
% 119.46/119.23 [5114]E(f313(f91(a1),f313(a96,x51141)),f2(a1))+P1(f313(f313(f222(a1),f2(a1)),x51141))
% 119.46/119.23 [5157]~P68(x51571)+P1(f313(f54(x51571),f230(f890(x51571,a881))))
% 119.46/119.23 [5172]E(f313(f91(a1),f313(f95(a883),x51721)),f313(f95(a1),x51721))+P1(f313(a183,f313(f95(a1),x51721)))
% 119.46/119.23 [5175]~E(x51751,f2(a883))+P1(f313(f313(f223(a883),x51751),f313(a103,f2(a883))))
% 119.46/119.23 [5196]E(f313(f95(a883),x51961),f2(a883))+~P1(f313(f313(f222(a1),x51961),a76))
% 119.46/119.23 [5197]E(f313(f95(a883),x51971),f2(a883))+~P1(f313(a183,f313(f95(a1),x51971)))
% 119.46/119.23 [5198]E(f313(f95(a883),x51981),f2(a883))+~P1(f313(f313(f222(a1),x51981),a76))
% 119.46/119.23 [5230]P6(x52301)+~P1(f313(f313(f222(a1),f2(a1)),x52301))
% 119.46/119.23 [5243]~E(x52431,f2(a883))+~P1(f313(f313(f223(a883),f2(a883)),x52431))
% 119.46/119.23 [5268]~E(x52681,f313(a103,f2(a883)))+P1(f313(f313(f273(a883),x52681),f313(a103,f2(a883))))
% 119.46/119.23 [5302]E(f313(a103,f822(x53021)),x53021)+~P1(f313(f313(f223(a883),f2(a883)),x53021))
% 119.46/119.23 [5303]E(f313(a103,f320(x53031)),x53031)+~P1(f313(f313(f223(a883),f2(a883)),x53031))
% 119.46/119.23 [5312]E(f313(a103,f313(f95(a883),x53121)),f71(a883))+~P1(f313(a183,f313(f95(a1),x53121)))
% 119.46/119.23 [5319]E(f313(f91(a1),f419(x53191)),x53191)+~P1(f313(f313(f223(a1),f2(a1)),x53191))
% 119.46/119.23 [5326]~E(x53261,f313(a5,f2(a883)))+~P1(f313(f313(f222(a90),f71(a90)),x53261))
% 119.46/119.23 [5333]E(f313(f91(a1),f313(f95(a883),x53331)),f2(a1))+~P1(f313(a183,f313(f95(a1),x53331)))
% 119.46/119.23 [5359]E(f313(f153(a883),x53591),f2(a883))+P1(f313(f313(f315(a883),f565(x53591)),f313(f160(a883),x53591)))
% 119.46/119.23 [5379]E(f313(f91(a1),f313(a96,x53791)),x53791)+~P1(f313(f313(f222(a1),f2(a1)),x53791))
% 119.46/119.23 [5380]E(f313(f91(a1),f313(a96,x53801)),x53801)+~P1(f313(f313(f222(a1),f2(a1)),x53801))
% 119.46/119.23 [5388]~P1(f313(a183,x53881))+~P1(f313(f313(f222(a1),f2(a1)),x53881))
% 119.46/119.23 [5486]E(f313(f313(f73(a883),f71(a883)),f313(f95(a883),x54861)),f71(a883))+~P1(f313(f313(f223(a1),x54861),a76))
% 119.46/119.23 [5552]E(x55521,f2(a883))+~P1(f313(f313(f223(a883),x55521),f313(a103,f2(a883))))
% 119.46/119.23 [5574]E(x55741,f313(a103,f2(a883)))+~P1(f313(f313(f273(a883),x55741),f313(a103,f2(a883))))
% 119.46/119.23 [5592]E(f313(f313(f73(a883),f313(f95(a883),x55921)),f71(a883)),f71(a883))+~P1(f313(f313(f223(a1),x55921),a76))
% 119.46/119.23 [5593]E(f313(f313(f3(a883),f313(f95(a883),x55931)),f71(a883)),f2(a883))+~P1(f313(f313(f222(a1),x55931),a76))
% 119.46/119.23 [5605]~P40(x56051)+E(f313(f28(a883),f313(f296(a1,a883,a96),x56051)),f313(f28(a1),x56051))
% 119.46/119.23 [5635]~P4(x56351)+E(f224(x56351,f313(f9(x56351,x56351,a881),f222(x56351))),f177(x56351))
% 119.46/119.23 [5636]~P4(x56361)+E(f225(x56361,f313(f9(x56361,x56361,a881),f222(x56361))),f227(x56361))
% 119.46/119.23 [5646]E(f38(a883,f313(a103,f2(a883)),f313(f95(a883),x56461)),f313(a103,f2(a883)))+~P1(f313(a183,f313(f95(a1),x56461)))
% 119.46/119.23 [5656]~P1(f313(f313(f223(a1),f2(a1)),x56561))+P1(f313(f313(f222(a1),f71(a1)),x56561))
% 119.46/119.23 [5657]P1(f313(f313(f223(a1),f2(a1)),x56571))+~P1(f313(f313(f222(a1),f71(a1)),x56571))
% 119.46/119.23 [5667]E(f313(a103,f313(f313(f3(a883),x56671),f71(a883))),x56671)+~P1(f313(f313(f223(a883),f2(a883)),x56671))
% 119.46/119.23 [5668]E(f313(a103,f313(f313(f3(a883),x56681),f71(a883))),x56681)+~P1(f313(f313(f223(a883),f2(a883)),x56681))
% 119.46/119.23 [5725]P1(f313(f313(f223(a883),f2(a883)),f419(x57251)))+~P1(f313(f313(f223(a1),f2(a1)),x57251))
% 119.46/119.23 [5785]E(f38(a1,f313(f95(a1),a88),x57851),f313(f313(f3(a1),x57851),f71(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x57851))
% 119.46/119.23 [5832]~P1(f313(f313(f223(a1),a76),x58321))+P1(f313(f313(f223(a883),f2(a883)),f313(f95(a883),x58321)))
% 119.46/119.23 [5886]P1(f313(f313(f223(a883),f2(a883)),f313(a96,x58861)))+~P1(f313(f313(f223(a1),f2(a1)),x58861))
% 119.46/119.23 [5906]E(f313(a22,f313(a5,x59061)),x59061)+~P1(f313(f313(f315(a883),x59061),f230(f890(a883,a881))))
% 119.46/119.23 [5937]~P1(f313(f313(f223(a883),f2(a883)),x59371))+P1(f313(f313(f223(a1),f2(a1)),f313(f91(a1),x59371)))
% 119.46/119.23 [5974]~P1(f313(f313(f223(a883),f2(a883)),f313(a96,x59741)))+P1(f313(f313(f223(a1),f2(a1)),x59741))
% 119.46/119.23 [5992]~P40(x59921)+E(f313(f296(a883,a1,f91(a1)),f313(f296(a1,a883,a96),x59921)),x59921)
% 119.46/119.23 [6005]P1(f313(f313(f223(a1),a76),x60051))+~P1(f313(f313(f223(a883),f2(a883)),f313(f95(a883),x60051)))
% 119.46/119.23 [6065]P1(f313(f313(f223(a883),f2(a883)),x60651))+~P1(f313(f313(f223(a1),f2(a1)),f313(f91(a1),x60651)))
% 119.46/119.23 [6100]E(f167(x61001,f104(f885(x61001))),f104(f885(x61001)))+~P1(f313(f301(f885(f885(x61001)),f168(x61001)),f104(f885(x61001))))
% 119.46/119.23 [6184]E(f313(f296(a883,a1,f91(a1)),f313(f268(a883),f313(a96,x61841))),f313(f288(a1,f2(a1)),x61841))+~P1(f313(f313(f222(a1),f2(a1)),x61841))
% 119.46/119.23 [6203]~P114(x62031)+P1(f313(f313(f223(x62031),f2(x62031)),f313(f313(f73(x62031),f71(x62031)),f71(x62031))))
% 119.46/119.23 [6253]P1(f313(f313(f223(a883),f313(a103,f2(a883))),f313(a96,x62531)))+~P1(f313(f313(f223(a1),f71(a1)),x62531))
% 119.46/119.23 [6360]E(x63601,f2(a1))+P1(f313(f42(f2(a1),x63601),f313(f313(f240(a1,a1),f2(a1)),f2(a1))))
% 119.46/119.23 [6541]~P1(f313(f313(f223(a883),f313(a103,f2(a883))),f313(a96,x65411)))+P1(f313(f313(f223(a1),f71(a1)),x65411))
% 119.46/119.23 [6591]E(f313(a103,f313(f313(f3(a883),f313(f95(a883),x65911)),f71(a883))),f313(f95(a883),x65911))+~P1(f313(f313(f223(a883),f2(a883)),f313(f95(a883),x65911)))
% 119.46/119.23 [7001]~P117(x70011)+P36(x70011,f313(f250(f889(x70011,x70011)),f313(f245(x70011,x70011,a881),f223(x70011))))
% 119.46/119.23 [5539]E(f313(f95(a883),f313(f313(f3(a1),x55391),a88)),f313(a103,f313(f95(a883),x55391)))+P1(f313(a183,f313(f95(a1),x55391)))
% 119.46/119.23 [5555]~P35(x55551)+E(f313(f313(f142(a883,a1),f91(a1)),f313(f313(f142(a1,a883),a96),x55551)),x55551)
% 119.46/119.23 [5655]P26(a880,f313(a103,a893),x56551)+~P1(f313(f313(f315(f882(a880)),x56551),a892))
% 119.46/119.23 [5674]E(f313(f72(a1),f313(f91(a1),f313(a103,f568(x56741)))),x56741)+~P1(f313(f313(f223(a1),x56741),f2(a1)))
% 119.46/119.23 [5684]E(f313(f313(f73(a883),f71(a883)),f313(f95(a883),x56841)),f313(f95(a883),f313(f313(f3(a1),x56841),a88)))+P1(f313(f313(f223(a1),x56841),a76))
% 119.46/119.23 [5727]E(f313(f313(f29(a1),f313(f95(a1),a88)),x57271),f313(f95(a1),a88))+~P1(f313(f313(f223(a1),f2(a1)),x57271))
% 119.46/119.23 [5828]E(f313(f313(f73(a883),f313(f95(a883),x58281)),f71(a883)),f313(f95(a883),f313(f313(f3(a1),x58281),a88)))+P1(f313(f313(f223(a1),x58281),a76))
% 119.46/119.23 [5829]E(f313(f313(f3(a883),f313(f95(a883),x58291)),f71(a883)),f313(f95(a883),f313(f313(f73(a1),x58291),a88)))+P1(f313(f313(f222(a1),x58291),a76))
% 119.46/119.23 [5872]E(f313(a96,f313(f313(f73(a1),f71(a1)),x58721)),f313(a103,f313(a96,x58721)))+~P1(f313(f313(f222(a1),f2(a1)),x58721))
% 119.46/119.23 [5908]E(f313(a103,f313(f313(f3(a883),x59081),f313(a103,f2(a883)))),x59081)+~P1(f313(f313(f223(a883),f2(a883)),x59081))
% 119.46/119.23 [6132]E(f38(a883,f313(a103,f2(a883)),f313(f95(a883),x61321)),f313(a96,f38(a1,f71(a1),f313(f95(a1),x61321))))+P1(f313(a183,f313(f95(a1),x61321)))
% 119.46/119.23 [6177]~P1(f313(f313(f223(a1),a88),x61771))+P1(f313(f313(f222(a1),a88),f313(f313(f73(a1),x61771),x61771)))
% 119.46/119.23 [6178]~P1(f313(f313(f222(a1),a76),x61781))+P1(f313(f313(f222(a1),a76),f313(f313(f73(a1),x61781),x61781)))
% 119.46/119.23 [6179]~P1(f313(f313(f223(a1),a88),x61791))+P1(f313(f313(f223(a1),a88),f313(f313(f73(a1),x61791),x61791)))
% 119.46/119.23 [6180]~P1(f313(f313(f223(a1),a76),x61801))+P1(f313(f313(f223(a1),a76),f313(f313(f73(a1),x61801),x61801)))
% 119.46/119.23 [6374]~P1(f313(f54(x63741),f230(f890(x63741,a881))))+P1(f313(f54(f887(x63741)),f230(f890(f887(x63741),a881))))
% 119.46/119.23 [6467]~P1(f313(f313(f222(a1),f2(a1)),x64671))+P1(f313(f313(f223(a1),f2(a1)),f313(f313(f73(a1),f71(a1)),x64671)))
% 119.46/119.23 [6474]E(f313(f239(a1,a1),f40(f71(a1),f313(f95(a1),x64741))),f313(f313(f29(a1),f71(a1)),f313(f95(a1),x64741)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x64741)))
% 119.46/119.23 [6499]E(f313(f244(a1,a1),f40(f71(a1),f313(f95(a1),x64991))),f38(a1,f71(a1),f313(f95(a1),x64991)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x64991)))
% 119.46/119.23 [6511]P1(f313(f54(x65111),f230(f890(x65111,a881))))+~P1(f313(f54(f887(x65111)),f230(f890(f887(x65111),a881))))
% 119.46/119.23 [6542]P1(f313(f313(f222(a1),a76),x65421))+~P1(f313(f313(f222(a1),a76),f313(f313(f73(a1),x65421),x65421)))
% 119.46/119.23 [6543]P1(f313(f313(f223(a1),a88),x65431))+~P1(f313(f313(f222(a1),a88),f313(f313(f73(a1),x65431),x65431)))
% 119.46/119.23 [6544]P1(f313(f313(f223(a1),a88),x65441))+~P1(f313(f313(f223(a1),a88),f313(f313(f73(a1),x65441),x65441)))
% 119.46/119.23 [6545]P1(f313(f313(f223(a1),a76),x65451))+~P1(f313(f313(f223(a1),a76),f313(f313(f73(a1),x65451),x65451)))
% 119.46/119.23 [6751]~P1(f313(f54(a883),x67511))+P1(f313(f54(a1),f313(f296(a883,a1,f91(a1)),x67511)))
% 119.46/119.23 [6884]~P1(f313(f54(x68841),f230(f890(x68841,a881))))+P1(f313(f313(f223(a883),f2(a883)),f313(f28(x68841),f230(f890(x68841,a881)))))
% 119.46/119.23 [7491]P1(f313(f54(a883),x74911))+~P1(f313(f54(a1),f313(f296(a883,a1,f91(a1)),x74911)))
% 119.46/119.23 [5462]~E(a88,x54621)+E(f313(f313(f3(a1),f313(f313(f73(a1),x54621),x54621)),a88),a88)
% 119.46/119.23 [5463]~E(x54631,a88)+E(f313(f313(f3(a1),f313(f313(f73(a1),x54631),x54631)),a88),a88)
% 119.46/119.23 [6000]E(x60001,a88)+~E(f313(f313(f3(a1),f313(f313(f73(a1),x60001),x60001)),a88),a88)
% 119.46/119.23 [6001]E(a88,x60011)+~E(f313(f313(f3(a1),f313(f313(f73(a1),x60011),x60011)),a88),a88)
% 119.46/119.23 [6434]~E(f313(f95(a883),x64341),f2(a883))+P1(f313(a183,f313(f95(a1),f313(f313(f73(a1),x64341),a88))))
% 119.46/119.23 [6809]~P1(f313(a183,f313(f95(a1),x68091)))+P1(f313(a183,f313(f95(a1),f313(f313(f73(a1),x68091),x68091))))
% 119.46/119.23 [6810]~P1(f313(f313(f222(a1),x68101),a88))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x68101),x68101)),a88))
% 119.46/119.23 [6811]~P1(f313(f313(f222(a1),x68111),a76))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x68111),x68111)),a76))
% 119.46/119.23 [6812]~P1(f313(f313(f222(a1),x68121),a88))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x68121),x68121)),a88))
% 119.46/119.23 [6813]~P1(f313(f313(f223(a1),x68131),a76))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x68131),x68131)),a76))
% 119.46/119.23 [7147]E(f313(f95(a883),x71471),f2(a883))+~P1(f313(a183,f313(f95(a1),f313(f313(f73(a1),x71471),a88))))
% 119.46/119.23 [7404]~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x74041)))+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),f313(f313(f73(a1),x74041),x74041))))
% 119.46/119.23 [7405]P1(f313(a183,f313(f95(a1),x74051)))+~P1(f313(a183,f313(f95(a1),f313(f313(f73(a1),x74051),x74051))))
% 119.46/119.23 [7406]P1(f313(f313(f222(a1),x74061),a88))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x74061),x74061)),a88))
% 119.46/119.23 [7407]P1(f313(f313(f222(a1),x74071),a88))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x74071),x74071)),a88))
% 119.46/119.23 [7408]P1(f313(f313(f222(a1),x74081),a76))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x74081),x74081)),a76))
% 119.46/119.23 [7409]P1(f313(f313(f223(a1),x74091),a76))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x74091),x74091)),a76))
% 119.46/119.23 [7776]E(f313(a98,f529(x77761)),x77761)+~P1(f313(f313(f315(f890(f889(a883,a883),a881)),x77761),a89))
% 119.46/119.23 [6344]~P98(x63441)+E(f313(f95(x63441),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f71(x63441))
% 119.46/119.23 [6345]~P98(x63451)+E(f313(f95(x63451),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f71(x63451))
% 119.46/119.23 [6860]~P1(f313(a183,f313(f95(a1),x68601)))+E(f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x68601),x68601)),a88)),f2(a883))
% 119.46/119.23 [7951]~P1(f313(f313(f223(a1),f313(f95(a1),x79511)),f2(a1)))+E(f313(f239(a1,a1),f313(a44,f43(f313(f72(a1),f71(a1)),f313(f72(a1),f313(f95(a1),x79511))))),f313(f313(f29(a1),f71(a1)),f313(f95(a1),x79511)))
% 119.46/119.23 [7964]~P1(f313(f313(f223(a1),f313(f95(a1),x79641)),f2(a1)))+E(f313(f244(a1,a1),f313(a44,f43(f313(f72(a1),f71(a1)),f313(f72(a1),f313(f95(a1),x79641))))),f38(a1,f71(a1),f313(f95(a1),x79641)))
% 119.46/119.23 [8014]~P1(f313(f313(f222(a1),a88),x80141))+P1(f313(f313(f222(a1),a88),f313(f313(f3(a1),f313(f313(f73(a1),x80141),x80141)),a88)))
% 119.46/119.23 [8015]~P1(f313(f313(f222(a1),a76),x80151))+P1(f313(f313(f222(a1),a76),f313(f313(f3(a1),f313(f313(f73(a1),x80151),x80151)),a88)))
% 119.46/119.23 [8016]~P1(f313(f313(f223(a1),a88),x80161))+P1(f313(f313(f223(a1),a88),f313(f313(f3(a1),f313(f313(f73(a1),x80161),x80161)),a88)))
% 119.46/119.23 [8017]~P1(f313(f313(f222(a1),a76),x80171))+P1(f313(f313(f223(a1),a76),f313(f313(f3(a1),f313(f313(f73(a1),x80171),x80171)),a88)))
% 119.46/119.23 [8314]~P98(x83141)+~P28(x83141,f313(f95(x83141),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))
% 119.46/119.23 [8494]P1(f313(f313(f222(a1),a88),x84941))+~P1(f313(f313(f222(a1),a88),f313(f313(f3(a1),f313(f313(f73(a1),x84941),x84941)),a88)))
% 119.46/119.23 [8495]P1(f313(f313(f222(a1),a76),x84951))+~P1(f313(f313(f222(a1),a76),f313(f313(f3(a1),f313(f313(f73(a1),x84951),x84951)),a88)))
% 119.46/119.23 [8496]P1(f313(f313(f222(a1),a76),x84961))+~P1(f313(f313(f223(a1),a76),f313(f313(f3(a1),f313(f313(f73(a1),x84961),x84961)),a88)))
% 119.46/119.23 [8497]P1(f313(f313(f223(a1),a88),x84971))+~P1(f313(f313(f223(a1),a88),f313(f313(f3(a1),f313(f313(f73(a1),x84971),x84971)),a88)))
% 119.46/119.23 [8800]E(f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x88001),x88001)),a88)),f313(f313(f79(a883,a883),f313(f95(a883),x88001)),f313(f313(f10(a883,a883,a883),a103),f313(f313(f20(a883,a883,a883),f73(a883)),f7(a883)))))+P1(f313(a183,f313(f95(a1),x88001)))
% 119.46/119.23 [9648]E(x96481,f178(f890(f889(a883,a883),a881)))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x96481),f178(f890(f889(a883,a883),a881)))),a62))
% 119.46/119.23 [8733]~P1(f313(a183,f313(f95(a1),x87331)))+P1(f313(a183,f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x87331),x87331)),a88))))
% 119.46/119.23 [8734]~P1(f313(f313(f222(a1),x87341),a88))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x87341),x87341)),a88)),a88))
% 119.46/119.23 [8735]~P1(f313(f313(f223(a1),x87351),a76))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x87351),x87351)),a88)),a76))
% 119.46/119.23 [8736]~P1(f313(f313(f223(a1),x87361),a88))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x87361),x87361)),a88)),a88))
% 119.46/119.23 [8737]~P1(f313(f313(f223(a1),x87371),a76))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x87371),x87371)),a88)),a76))
% 119.46/119.23 [8838]~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x88381)))+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x88381),x88381)),a88))))
% 119.46/119.23 [8993]~P98(x89931)+E(f313(f313(f73(x89931),f71(x89931)),f71(x89931)),f313(f95(x89931),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))
% 119.46/119.23 [9147]P1(f313(a183,f313(f95(a1),x91471)))+~P1(f313(a183,f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91471),x91471)),a88))))
% 119.46/119.23 [9148]P1(f313(f313(f222(a1),x91481),a88))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91481),x91481)),a88)),a88))
% 119.46/119.23 [9149]P1(f313(f313(f223(a1),x91491),a88))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91491),x91491)),a88)),a88))
% 119.46/119.23 [9150]P1(f313(f313(f223(a1),x91501),a76))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91501),x91501)),a88)),a76))
% 119.46/119.23 [9151]P1(f313(f313(f223(a1),x91511),a76))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91511),x91511)),a88)),a76))
% 119.46/119.23 [9696]~P1(f313(f54(f889(a883,a883)),x96961))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),f178(f890(f889(a883,a883),a881))),x96961)),a63))
% 119.46/119.23 [9476]~P2(x94761)+E(f313(f313(f232(x94761),f2(x94761)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f2(x94761))
% 119.46/119.23 [9477]~P2(x94771)+E(f313(f313(f232(x94771),f71(x94771)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f71(x94771))
% 119.46/119.23 [9925]~P1(f313(f313(f223(a883),f71(a883)),x99251))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f29(a883),x99251),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.23 [9931]~P1(f313(f313(f223(a883),f2(a883)),x99311))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f29(a883),f313(f313(f73(a883),x99311),f71(a883))),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.23 [9969]~E(f38(a883,x99691,f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f71(a883))+P1(f313(f313(f223(a883),f2(a883)),f38(a883,x99691,f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.23 [10002]E(f38(a883,x100021,f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f71(a883))+~P1(f313(f313(f223(a883),f2(a883)),f38(a883,x100021,f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.23 [4575]~P7(x45751,x45752)+P50(x45751,x45752)
% 119.46/119.23 [4576]~P7(x45761,x45762)+P50(x45761,x45762)
% 119.46/119.23 [4577]~P36(x45771,x45772)+P60(x45771,x45772)
% 119.46/119.23 [4578]~P43(x45781,x45782)+P60(x45781,x45782)
% 119.46/119.23 [4579]~P7(x45791,x45792)+P52(x45791,x45792)
% 119.46/119.23 [4580]~P7(x45801,x45802)+P52(x45801,x45802)
% 119.46/119.23 [4581]~P15(x45811,x45812)+P52(x45811,x45812)
% 119.46/119.23 [4582]~P15(x45821,x45822)+P52(x45821,x45822)
% 119.46/119.23 [4583]~P7(x45831,x45832)+P53(x45831,x45832)
% 119.46/119.23 [4584]~P7(x45841,x45842)+P53(x45841,x45842)
% 119.46/119.23 [4585]~P15(x45851,x45852)+P53(x45851,x45852)
% 119.46/119.23 [4586]~P15(x45861,x45862)+P53(x45861,x45862)
% 119.46/119.23 [4587]~P7(x45871,x45872)+P15(x45871,x45872)
% 119.46/119.23 [4537]~E(x45371,x45372)+E(f257(x45371,x45372),f71(a90))
% 119.46/119.23 [4540]E(f206(x45401,x45402),x45401)+~E(x45402,f2(a883))
% 119.46/119.23 [4546]~E(x45462,f104(x45461))+E(f140(x45461,x45462),f104(x45461))
% 119.46/119.23 [4547]~E(x45472,f104(x45471))+E(f140(x45471,x45472),f104(x45471))
% 119.46/119.23 [4565]~E(f140(x45652,x45651),f104(x45652))+E(x45651,f104(x45652))
% 119.46/119.23 [4566]~E(f140(x45662,x45661),f104(x45662))+E(x45661,f104(x45662))
% 119.46/119.23 [4591]~P3(x45912)+P3(f890(x45911,x45912))
% 119.46/119.23 [4592]~P113(x45922)+P113(f890(x45921,x45922))
% 119.46/119.23 [4593]~P112(x45932)+P112(f890(x45931,x45932))
% 119.46/119.23 [4594]~P5(x45942)+P5(f890(x45941,x45942))
% 119.46/119.23 [4595]~P100(x45952)+P100(f890(x45951,x45952))
% 119.46/119.23 [4596]~P84(x45962)+P84(f890(x45961,x45962))
% 119.46/119.23 [4597]~P95(x45972)+P95(f890(x45971,x45972))
% 119.46/119.23 [4598]~P103(x45982)+P102(f890(x45981,x45982))
% 119.46/119.23 [4599]~P103(x45992)+P103(f890(x45991,x45992))
% 119.46/119.23 [4600]~P110(x46002)+P110(f890(x46001,x46002))
% 119.46/119.23 [4601]~P105(x46012)+P104(f890(x46011,x46012))
% 119.46/119.23 [4602]~P103(x46022)+P108(f890(x46021,x46022))
% 119.46/119.23 [4603]~P106(x46032)+P106(f890(x46031,x46032))
% 119.46/119.23 [4604]~P105(x46042)+P107(f890(x46041,x46042))
% 119.46/119.23 [4605]~P118(x46052)+P118(f890(x46051,x46052))
% 119.46/119.23 [4606]~P105(x46062)+P105(f890(x46061,x46062))
% 119.46/119.23 [4618]E(x46181,x46182)+~E(f313(a103,x46181),f313(a103,x46182))
% 119.46/119.23 [4619]E(x46191,x46192)+~E(f313(a103,x46191),f313(a103,x46192))
% 119.46/119.23 [4620]E(x46201,x46202)+~E(f313(a5,x46201),f313(a5,x46202))
% 119.46/119.23 [4621]E(x46211,x46212)+~E(f313(a22,x46211),f313(a22,x46212))
% 119.46/119.23 [4622]E(x46221,x46222)+~E(f313(a22,x46221),f313(a22,x46222))
% 119.46/119.23 [4623]E(x46231,x46232)+~E(f313(a98,x46231),f313(a98,x46232))
% 119.46/119.23 [4672]P38(x46721,x46722)+~E(f720(x46722,x46721),f721(x46722,x46721))
% 119.46/119.23 [4702]~P60(x47021,x47022)+P38(x47021,f293(x47021,x47022))
% 119.46/119.23 [4703]~P54(x47031,x47032)+P54(x47031,f293(x47031,x47032))
% 119.46/119.23 [4716]~P66(x47161)+E(f38(x47161,x47162,x47162),f2(x47161))
% 119.46/119.23 [4750]~P36(x47501,x47502)+P36(f885(x47501),f134(x47501,x47502))
% 119.46/119.23 [4751]~P36(x47511,x47512)+P36(f885(x47511),f133(x47511,x47512))
% 119.46/119.23 [4752]~P37(x47521,x47522)+P37(f885(x47521),f135(x47521,x47522))
% 119.46/119.23 [4753]~P37(x47531,x47532)+P37(f885(x47531),f146(x47531,x47532))
% 119.46/119.23 [4754]~P54(x47541,x47542)+P54(f885(x47541),f146(x47541,x47542))
% 119.46/119.23 [4851]~P36(x48511,x48512)+P36(f890(x48511,a881),f306(x48511,x48512))
% 119.46/119.23 [4852]~P36(x48521,x48522)+P36(f890(x48521,a881),f304(x48521,x48522))
% 119.46/119.23 [4984]~P6(x49841)+P40(f289(a1,x49841,x49842))
% 119.46/119.23 [5092]~P36(x50921,x50922)+P62(x50921,f60(x50921,x50921,x50922))
% 119.46/119.23 [5599]~P87(x55991)+P24(x55991,x55991,f72(x55991),x55992)
% 119.46/119.23 [4560]~E(x45602,f104(x45601))+E(f313(f156(x45601),x45602),f104(x45601))
% 119.46/119.23 [4561]~E(x45612,f104(x45611))+E(f313(f155(x45611),x45612),f104(x45611))
% 119.46/119.23 [4562]~E(x45622,f104(x45621))+E(f313(f156(x45621),x45622),f104(x45621))
% 119.46/119.23 [4625]E(x46251,f313(a96,x46252))+~E(f313(f91(a1),x46251),x46252)
% 119.46/119.23 [4627]E(x46271,f104(x46272))+~E(f313(f156(x46272),x46271),f104(x46272))
% 119.46/119.23 [4628]E(x46281,f104(x46282))+~E(f313(f155(x46282),x46281),f104(x46282))
% 119.46/119.23 [4629]E(x46291,f104(x46292))+~E(f313(f156(x46292),x46291),f104(x46292))
% 119.46/119.23 [4641]~P98(x46411)+E(f313(f95(x46411),x46412),f313(f94(x46411),x46412))
% 119.46/119.23 [4648]~P68(x46481)+P1(f313(f54(x46481),x46482))
% 119.46/119.23 [4649]~P68(x46491)+P1(f313(f54(x46491),x46492))
% 119.46/119.23 [4657]~E(f684(x46572,x46571),f104(x46571))+E(f167(x46571,x46572),f104(f885(x46571)))
% 119.46/119.23 [4666]~E(x46662,f104(x46661))+E(f313(f160(x46661),x46662),f178(f890(x46661,a881)))
% 119.46/119.23 [4667]~E(x46672,f104(x46671))+E(f178(f890(x46671,a881)),f313(f160(x46671),x46672))
% 119.46/119.23 [4668]E(x46681,x46682)+~E(f313(f91(a1),x46681),f313(f91(a1),x46682))
% 119.46/119.23 [4669]E(x46691,x46692)+~E(f313(f91(a1),x46691),f313(f91(a1),x46692))
% 119.46/119.23 [4673]E(f204(x46731,x46732),f2(a883))+P1(f313(f54(x46731),x46732))
% 119.46/119.23 [4691]~P115(x46911)+E(f75(x46911,f75(x46911,x46912)),f75(x46911,x46912))
% 119.46/119.23 [4705]~P80(x47051)+E(f313(f313(f232(x47051),x47052),f71(a883)),x47052)
% 119.46/119.23 [4706]~P120(x47061)+E(f313(f313(f232(x47061),x47062),f71(a883)),x47062)
% 119.46/119.23 [4707]~P54(x47071,x47072)+E(f313(f272(x47071,x47071),x47072),x47072)
% 119.46/119.23 [4711]E(x47111,x47112)+E(f257(x47111,x47112),f313(f313(f73(a90),x47112),f71(a90)))
% 119.46/119.23 [4712]E(f313(f28(x47121),x47122),f2(a883))+P1(f313(f54(x47121),x47122))
% 119.46/119.23 [4713]E(f313(f28(x47131),x47132),f2(a883))+P1(f313(f54(x47131),x47132))
% 119.46/119.23 [4714]E(f313(f28(x47141),x47142),f2(a883))+P1(f313(f54(x47141),x47142))
% 119.46/119.23 [4717]~E(f140(x47171,x47172),x47172)+P1(f313(f125(x47171),x47172))
% 119.46/119.23 [4720]~P75(x47201)+E(f313(f313(f74(x47201),x47202),f71(x47201)),x47202)
% 119.46/119.23 [4721]~P80(x47211)+E(f313(f313(f74(x47211),x47212),f71(x47211)),x47212)
% 119.46/119.23 [4722]~P120(x47221)+E(f313(f313(f74(x47221),x47222),f71(x47221)),x47222)
% 119.46/119.23 [4723]~P120(x47231)+E(f313(f313(f73(x47231),x47232),f2(x47231)),x47232)
% 119.46/119.23 [4724]~P83(x47241)+E(f313(f313(f73(x47241),x47242),f2(x47241)),x47242)
% 119.46/119.23 [4725]~P79(x47251)+E(f313(f313(f73(x47251),x47252),f2(x47251)),x47252)
% 119.46/119.23 [4726]~P81(x47261)+E(f313(f313(f3(x47261),x47262),f2(x47261)),x47262)
% 119.46/119.23 [4727]~P66(x47271)+E(f313(f313(f29(x47271),x47272),f71(x47271)),x47272)
% 119.46/119.23 [4728]~P126(x47281)+E(f313(f313(f277(x47281),x47282),f71(x47281)),x47282)
% 119.46/119.23 [4729]~P104(x47291)+E(f313(f313(f92(x47291),x47292),f178(x47291)),x47292)
% 119.46/119.23 [4730]~P107(x47301)+E(f313(f313(f93(x47301),x47302),f230(x47301)),x47302)
% 119.46/119.23 [4731]~P116(x47311)+E(f313(f313(f232(x47311),x47312),f2(a883)),f71(x47311))
% 119.46/119.23 [4732]~P120(x47321)+E(f313(f313(f232(x47321),x47322),f2(a883)),f71(x47321))
% 119.46/119.23 [4733]~E(x47332,f178(f890(x47331,a881)))+E(f313(f28(x47331),x47332),f2(a883))
% 119.46/119.23 [4744]~P66(x47441)+E(f38(x47441,x47442,f2(x47441)),x47442)
% 119.46/119.23 [4755]~P131(x47551)+E(f313(f313(f74(x47551),x47552),f2(x47551)),f2(x47551))
% 119.46/119.23 [4756]~P120(x47561)+E(f313(f313(f74(x47561),x47562),f2(x47561)),f2(x47561))
% 119.46/119.23 [4757]~P66(x47571)+E(f313(f313(f29(x47571),x47572),f2(x47571)),f2(x47571))
% 119.46/119.23 [4758]~P127(x47581)+E(f313(f313(f277(x47581),x47582),f2(x47581)),f2(x47581))
% 119.46/119.23 [4759]~P107(x47591)+E(f313(f313(f92(x47591),x47592),f230(x47591)),f230(x47591))
% 119.46/119.23 [4760]~P104(x47601)+E(f313(f313(f93(x47601),x47602),f178(x47601)),f178(x47601))
% 119.46/119.23 [4762]~P66(x47621)+E(f38(x47621,x47622,f71(x47621)),f2(x47621))
% 119.46/119.23 [4763]~P66(x47631)+E(f38(x47631,f2(x47631),x47632),f2(x47631))
% 119.46/119.23 [4792]E(x47921,f2(a883))+E(f48(x47922,x47921,f104(x47922)),f104(f885(x47922)))
% 119.46/119.23 [4815]P54(x48151,x48152)+~E(f313(f272(x48151,x48151),x48152),x48152)
% 119.46/119.23 [4816]P36(x48161,x48162)+~E(f566(x48162,x48161),f178(f890(x48161,a881)))
% 119.46/119.23 [4817]E(x48171,f104(x48172))+~E(f313(f160(x48172),x48171),f178(f890(x48172,a881)))
% 119.46/119.23 [4818]E(x48181,f104(x48182))+~E(f178(f890(x48182,a881)),f313(f160(x48182),x48181))
% 119.46/119.23 [4821]~E(x48211,x48212)+P1(f313(f313(a310,x48211),x48212))
% 119.46/119.23 [4831]P1(x48311)+P1(f313(f313(a316,x48311),x48312))
% 119.46/119.23 [4832]E(x48321,f104(x48322))+E(f313(f313(f152(x48322),x48321),f2(a883)),f313(f129(x48322),x48321))
% 119.46/119.23 [4834]E(f140(x48341,x48342),x48342)+~P1(f313(f125(x48341),x48342))
% 119.46/119.23 [4835]E(f140(x48351,x48352),x48352)+~P1(f313(f125(x48351),x48352))
% 119.46/119.23 [4842]~P1(x48422)+P1(f313(f313(a316,x48421),x48422))
% 119.46/119.23 [4843]~P1(x48432)+P1(f313(f313(a312,x48431),x48432))
% 119.46/119.23 [4844]~P1(x48441)+P1(f313(f313(a312,x48441),x48442))
% 119.46/119.23 [4854]~E(f685(x48542,x48541),f698(x48542,x48541))+P1(f313(f125(x48541),x48542))
% 119.46/119.23 [4861]E(f313(f250(x48611),x48612),f178(f890(x48611,a881)))+P1(f313(x48612,f511(x48612)))
% 119.46/119.23 [4862]E(f178(f890(x48621,a881)),f313(f250(x48621),x48622))+P1(f313(x48622,f512(x48622)))
% 119.46/119.23 [4936]~P115(x49361)+E(f313(f313(f74(x49361),x49362),f75(x49361,x49362)),f313(f69(x49361),x49362))
% 119.46/119.23 [4947]~E(x49471,f2(a1))+E(f39(x49471,x49472),f313(f313(f240(a1,a1),f2(a1)),f2(a1)))
% 119.46/119.23 [4948]~E(x49481,f2(a1))+E(f39(x49481,x49482),f313(f313(f240(a1,a1),f2(a1)),f2(a1)))
% 119.46/119.23 [4980]~P60(x49801,x49802)+P60(x49801,f313(f272(x49801,x49801),x49802))
% 119.46/119.23 [4981]~P37(x49811,x49812)+P37(x49811,f313(f272(x49811,x49811),x49812))
% 119.46/119.23 [4982]~P38(x49821,x49822)+P38(x49821,f313(f272(x49821,x49821),x49822))
% 119.46/119.23 [4983]~P54(x49831,x49832)+P54(x49831,f313(f272(x49831,x49831),x49832))
% 119.46/119.23 [5005]E(x50051,x50052)+~P1(f313(f313(a310,x50051),x50052))
% 119.46/119.23 [5016]P1(x50161)+~P1(f313(f313(a311,x50162),x50161))
% 119.46/119.23 [5017]P1(x50171)+~P1(f313(f313(a311,x50171),x50172))
% 119.46/119.23 [5022]~P118(x50221)+P1(f313(f313(f222(x50221),x50222),f230(x50221)))
% 119.46/119.23 [5023]~P120(x50231)+P1(f313(f313(f273(x50231),x50232),f2(x50231)))
% 119.46/119.23 [5027]E(x50271,x50272)+~E(f313(x50271,f338(x50272,x50271)),f313(x50272,f338(x50272,x50271)))
% 119.46/119.23 [5061]E(x50611,f2(a883))+E(f206(x50611,f38(a883,x50612,x50611)),f206(x50612,x50611))
% 119.46/119.23 [5066]~P4(x50661)+P13(x50661,f313(f313(f139(x50661),x50662),f104(x50661)))
% 119.46/119.23 [5070]E(x50701,f2(a1))+P1(f313(f42(x50702,x50701),f39(x50702,x50701)))
% 119.46/119.23 [5087]~P15(x50872,x50871)+P1(f313(f313(x50871,f812(x50871)),f812(x50871)))
% 119.46/119.23 [5090]~E(x50901,x50902)+P1(f313(f313(f223(a883),x50901),f313(a103,x50902)))
% 119.46/119.23 [5100]~E(x51001,f2(a883))+P1(f313(f313(f223(a883),x51001),f313(a103,x51002)))
% 119.46/119.23 [5113]P1(f313(x51131,x51132))+P1(f313(f313(f222(a1),f2(a1)),f451(x51131)))
% 119.46/119.23 [5177]P60(x51771,x51772)+~P60(x51771,f313(f272(x51771,x51771),x51772))
% 119.46/119.23 [5178]P37(x51781,x51782)+~P37(x51781,f313(f272(x51781,x51781),x51782))
% 119.46/119.23 [5179]P38(x51791,x51792)+~P38(x51791,f313(f272(x51791,x51791),x51792))
% 119.46/119.23 [5180]P54(x51801,x51802)+~P54(x51801,f313(f272(x51801,x51801),x51802))
% 119.46/119.23 [5183]~E(f38(a883,x51832,x51831),f2(a883))+E(f313(f313(f74(a883),x51831),f699(x51831,x51832)),x51832)
% 119.46/119.23 [5184]~E(f38(a1,x51842,x51841),f2(a1))+E(f313(f313(f74(a1),x51841),f582(x51841,x51842)),x51842)
% 119.46/119.23 [5189]~E(x51891,f313(a103,x51892))+P1(f313(f313(f222(a883),x51891),f313(a103,x51892)))
% 119.46/119.23 [5211]~P1(f313(x52111,x52112))+P1(f313(f313(f222(a1),f2(a1)),f450(x52111)))
% 119.46/119.23 [5222]E(f313(f313(f3(a883),f313(a96,x52221)),f313(a96,x52222)),f313(a96,x52221))+~P1(f313(a183,x52222))
% 119.46/119.23 [5245]E(f258(x52451,x52452),f71(a90))+~P1(f313(f313(f222(a90),x52451),f71(a90)))
% 119.46/119.23 [5345]E(f313(f313(f152(x53451),x53452),f685(x53452,x53451)),f313(f313(f152(x53451),x53452),f698(x53452,x53451)))+P1(f313(f125(x53451),x53452))
% 119.46/119.23 [5389]~P1(f313(x53891,f83(x53892,x53891)))+P1(f313(x53891,f567(x53892,x53891)))
% 119.46/119.23 [5452]P62(x54521,x54522)+~P1(f313(f301(x54521,x54522),f536(x54522,x54521)))
% 119.46/119.23 [5596]~P15(x55962,x55961)+P1(f313(f313(x55961,f813(x55961,x55962)),f813(x55961,x55962)))
% 119.46/119.23 [5597]~P15(x55972,x55971)+P1(f313(f313(x55971,f817(x55971,x55972)),f817(x55971,x55972)))
% 119.46/119.23 [5606]~E(f313(a103,f38(a883,x56061,x56062)),x56062)+E(f38(a883,f313(a103,x56061),x56062),f2(a883))
% 119.46/119.23 [5663]P36(x56631,x56632)+P1(f313(f313(f315(x56631),f639(x56632,x56631)),f640(x56632,x56631)))
% 119.46/119.23 [5670]~P2(x56701)+P1(f313(f313(f315(x56701),f313(f91(x56701),x56702)),f174(x56701)))
% 119.46/119.23 [5671]~P144(x56711)+P1(f313(f313(f315(x56711),f313(f91(x56711),x56712)),f101(x56711)))
% 119.46/119.23 [5672]~P144(x56721)+P1(f313(f313(f315(x56721),f313(f94(x56721),x56722)),f101(x56721)))
% 119.46/119.23 [5673]~P98(x56731)+P1(f313(f313(f315(x56731),f313(f95(x56731),x56732)),f101(x56731)))
% 119.46/119.23 [5816]~P37(x58161,x58162)+E(f313(f313(f275(x58161,x58161,x58161),x58162),f293(x58161,x58162)),x58162)
% 119.46/119.23 [5831]E(f313(a103,f38(a883,x58311,x58312)),x58312)+E(f38(a883,f313(a103,x58311),x58312),f313(a103,f38(a883,x58311,x58312)))
% 119.46/119.23 [6266]P36(x62661,x62662)+~P1(f313(f313(f315(x62661),f552(x62662,x62661)),f302(x62661,x62662)))
% 119.46/119.23 [6304]~P114(x63041)+~P1(f313(f313(f223(x63041),f313(f91(x63041),x63042)),f2(x63041)))
% 119.46/119.23 [6305]~P90(x63051)+~P1(f313(f313(f223(x63051),f313(f69(x63051),x63052)),f2(x63051)))
% 119.46/119.23 [6402]P1(f313(f313(f223(a1),x64021),f38(a1,x64022,x64021)))+~P1(f313(f313(f223(a1),x64021),f2(a1)))
% 119.46/119.23 [6403]P1(f313(f313(f223(a1),x64031),f38(a1,x64032,x64031)))+~P1(f313(f313(f223(a1),x64031),f2(a1)))
% 119.46/119.23 [6513]E(f313(f313(f295(a883),f313(a103,x65131)),f289(a883,x65132,x65131)),f289(a883,x65132,f313(a103,x65131)))+~P1(f313(f313(f222(a883),x65132),f313(a103,x65131)))
% 119.46/119.23 [6606]~P4(x66061)+P13(x66061,f138(x66061,x66061,f7(x66061),x66062))
% 119.46/119.23 [6749]E(f313(f155(x67491),x67492),x67492)+~P1(f313(f313(f222(a883),f313(f179(f885(x67491)),x67492)),f71(a883)))
% 119.46/119.23 [6771]~P90(x67711)+P1(f313(f313(f222(x67711),f313(f72(x67711),f313(f69(x67711),x67712))),f2(x67711)))
% 119.46/119.23 [6805]~P36(x68051,x68052)+P36(x68051,f313(f313(f275(x68051,x68051,x68051),x68052),f293(x68051,x68052)))
% 119.46/119.23 [6806]~P54(x68061,x68062)+P54(x68061,f313(f313(f275(x68061,x68061,x68061),x68062),f293(x68061,x68062)))
% 119.46/119.23 [7039]~P1(f313(f313(f223(a1),x70392),f2(a1)))+P1(f313(f313(f222(a1),f38(a1,x70391,x70392)),f2(a1)))
% 119.46/119.23 [7040]~P1(f313(f313(f223(a1),x70402),f2(a1)))+P1(f313(f313(f222(a1),f38(a1,x70401,x70402)),f2(a1)))
% 119.46/119.23 [7448]~P2(x74481)+E(f180(x74481,f313(f313(f9(x74481,x74481,x74481),f73(x74481)),f71(x74481)),x74482,f2(x74481)),f313(f91(x74481),x74482))
% 119.46/119.23 [7477]~P129(x74771)+~P1(f313(f313(f223(x74771),f313(f313(f74(x74771),x74772),x74772)),f2(x74771)))
% 119.46/119.23 [10095]~P115(x100951)+~P1(f313(f313(f223(x100951),f313(f313(f232(x100951),x100952),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f2(x100951)))
% 119.46/119.23 [4626]~E(x46262,f104(x46261))+E(f313(f179(f885(x46261)),x46262),f2(a883))
% 119.46/119.23 [4658]~E(x46581,f2(a883))+E(f313(f313(f73(a883),x46581),x46582),x46582)
% 119.46/119.23 [4659]~E(x46592,f2(a883))+E(f313(f313(f232(a883),x46591),x46592),f71(a883))
% 119.46/119.23 [4660]~E(x46602,f2(a883))+E(f313(f313(f74(a883),x46601),x46602),f2(a883))
% 119.46/119.23 [4661]~E(x46611,f2(a883))+E(f313(f313(f74(a883),x46611),x46612),f2(a883))
% 119.46/119.23 [4662]~E(x46621,f2(a883))+E(f313(f313(f74(a883),x46621),x46622),f2(a883))
% 119.46/119.23 [4663]~E(x46632,f2(a1))+E(f313(f313(f29(a1),x46631),x46632),f2(a1))
% 119.46/119.23 [4674]E(x46741,f104(x46742))+~E(f313(f179(f885(x46742)),x46741),f2(a883))
% 119.46/119.23 [4675]~P101(x46751)+E(f313(f313(f74(x46751),x46752),x46752),x46752)
% 119.46/119.23 [4676]~P101(x46761)+E(f313(f313(f74(x46761),x46762),x46762),x46762)
% 119.46/119.23 [4677]~P4(x46771)+E(f313(f313(f227(x46771),x46772),x46772),x46772)
% 119.46/119.23 [4678]~P4(x46781)+E(f313(f313(f227(x46781),x46782),x46782),x46782)
% 119.46/119.23 [4679]~P4(x46791)+E(f313(f313(f177(x46791),x46792),x46792),x46792)
% 119.46/119.23 [4680]~P4(x46801)+E(f313(f313(f177(x46801),x46802),x46802),x46802)
% 119.46/119.23 [4681]~P102(x46811)+E(f313(f313(f92(x46811),x46812),x46812),x46812)
% 119.46/119.23 [4682]~P102(x46821)+E(f313(f313(f92(x46821),x46822),x46822),x46822)
% 119.46/119.23 [4683]~P103(x46831)+E(f313(f313(f92(x46831),x46832),x46832),x46832)
% 119.46/119.23 [4684]~P103(x46841)+E(f313(f313(f93(x46841),x46842),x46842),x46842)
% 119.46/119.23 [4685]~P108(x46851)+E(f313(f313(f93(x46851),x46852),x46852),x46852)
% 119.46/119.23 [4686]~P108(x46861)+E(f313(f313(f93(x46861),x46862),x46862),x46862)
% 119.46/119.23 [4704]~P81(x47041)+E(f313(f313(f3(x47041),x47042),x47042),f2(x47041))
% 119.46/119.23 [4718]~P81(x47181)+E(f313(f72(x47181),f313(f72(x47181),x47182)),x47182)
% 119.46/119.23 [4719]~P100(x47191)+E(f313(f72(x47191),f313(f72(x47191),x47192)),x47192)
% 119.46/119.23 [4736]~E(x47362,f2(a883))+E(f313(f313(f232(a883),x47361),x47362),f313(a103,f2(a883)))
% 119.46/119.23 [4771]~P75(x47711)+E(f313(f313(f74(x47711),f71(x47711)),x47712),x47712)
% 119.46/119.23 [4772]~P80(x47721)+E(f313(f313(f74(x47721),f71(x47721)),x47722),x47722)
% 119.46/119.23 [4773]~P120(x47731)+E(f313(f313(f74(x47731),f71(x47731)),x47732),x47732)
% 119.46/119.23 [4774]~P120(x47741)+E(f313(f313(f73(x47741),f2(x47741)),x47742),x47742)
% 119.46/119.23 [4775]~P83(x47751)+E(f313(f313(f73(x47751),f2(x47751)),x47752),x47752)
% 119.46/119.23 [4776]~P79(x47761)+E(f313(f313(f73(x47761),f2(x47761)),x47762),x47762)
% 119.46/119.23 [4777]~P104(x47771)+E(f313(f313(f92(x47771),f178(x47771)),x47772),x47772)
% 119.46/119.23 [4778]~P107(x47781)+E(f313(f313(f93(x47781),f230(x47781)),x47782),x47782)
% 119.46/119.23 [4796]~P80(x47961)+E(f313(f313(f232(x47961),f71(x47961)),x47962),f71(x47961))
% 119.46/119.23 [4797]~P131(x47971)+E(f313(f313(f74(x47971),f2(x47971)),x47972),f2(x47971))
% 119.46/119.23 [4798]~P120(x47981)+E(f313(f313(f74(x47981),f2(x47981)),x47982),f2(x47981))
% 119.46/119.23 [4799]~P66(x47991)+E(f313(f313(f29(x47991),f2(x47991)),x47992),f2(x47991))
% 119.46/119.23 [4800]~P126(x48001)+E(f313(f313(f277(x48001),f2(x48001)),x48002),f2(x48001))
% 119.46/119.23 [4801]~P107(x48011)+E(f313(f313(f92(x48011),f230(x48011)),x48012),f230(x48011))
% 119.46/119.23 [4802]~P104(x48021)+E(f313(f313(f93(x48021),f178(x48021)),x48022),f178(x48021))
% 119.46/119.23 [4810]E(x48101,f104(x48102))+E(f132(x48102,f313(f156(x48102),x48101)),f313(f129(x48102),x48101))
% 119.46/119.23 [4811]E(x48111,f104(x48112))+E(f313(f129(x48112),f313(f156(x48112),x48111)),f132(x48112,x48111))
% 119.46/119.23 [4812]E(x48121,f2(a883))+~E(f313(f313(f73(a883),x48122),x48121),x48122)
% 119.46/119.23 [4819]~P144(x48191)+E(f313(f94(x48191),f313(f91(a1),x48192)),f313(f91(x48191),x48192))
% 119.46/119.23 [4820]~P98(x48201)+E(f313(f94(x48201),f313(f95(a1),x48202)),f313(f95(x48201),x48202))
% 119.46/119.23 [4825]E(x48251,f71(a883))+~E(f313(f313(f74(a883),x48252),x48251),f71(a883))
% 119.46/119.23 [4826]E(x48261,f71(a883))+~E(f313(f313(f74(a883),x48261),x48262),f71(a883))
% 119.46/119.23 [4827]E(x48271,f2(a883))+~E(f313(f313(f73(a883),x48272),x48271),f2(a883))
% 119.46/119.23 [4828]E(x48281,f2(a883))+~E(f313(f313(f73(a883),x48281),x48282),f2(a883))
% 119.46/119.23 [4829]E(x48291,f71(a883))+~E(f313(f313(f74(a883),x48292),x48291),f71(a883))
% 119.46/119.23 [4830]E(x48301,f71(a883))+~E(f313(f313(f74(a883),x48301),x48302),f71(a883))
% 119.46/119.23 [4847]~P115(x48471)+E(f313(f69(x48471),f313(f91(x48471),x48472)),f313(f91(x48471),x48472))
% 119.46/119.23 [4848]~P90(x48481)+E(f313(f69(x48481),f313(f72(x48481),x48482)),f313(f69(x48481),x48482))
% 119.46/119.23 [4849]~P90(x48491)+E(f313(f69(x48491),f313(f69(x48491),x48492)),f313(f69(x48491),x48492))
% 119.46/119.24 [4850]~P79(x48501)+E(f313(f153(x48501),f313(f156(x48501),x48502)),f313(f153(x48501),x48502))
% 119.46/119.24 [4855]~E(x48551,f313(a103,f2(a883)))+E(f313(f313(f232(a883),x48551),x48552),f313(a103,f2(a883)))
% 119.46/119.24 [4864]~P81(x48641)+E(f313(f313(f3(x48641),f2(x48641)),x48642),f313(f72(x48641),x48642))
% 119.46/119.24 [4865]~E(x48652,f2(a883))+E(f127(a883,f313(f288(a883,x48651),x48652)),f104(a883))
% 119.46/119.24 [4874]~P98(x48741)+E(f313(f313(f73(x48741),x48742),f313(f95(x48741),a76)),x48742)
% 119.46/119.24 [4875]E(x48751,f2(a1))+E(f40(f313(f69(a1),x48752),f313(f69(a1),x48751)),f46(x48752,x48751))
% 119.46/119.24 [4889]~E(x48891,x48892)+P1(f313(f313(f222(a883),x48891),x48892))
% 119.46/119.24 [4890]~E(x48901,x48902)+P1(f313(f313(f222(a883),x48901),x48902))
% 119.46/119.24 [4891]~E(x48911,x48912)+P1(f313(f313(f222(a883),x48911),x48912))
% 119.46/119.24 [4892]~E(x48921,x48922)+P1(f313(f313(f273(a883),x48921),x48922))
% 119.46/119.24 [4893]~E(x48931,x48932)+P1(f313(f313(f273(a883),x48931),x48932))
% 119.46/119.24 [4894]~E(x48941,x48942)+P1(f313(f313(f273(a883),x48941),x48942))
% 119.46/119.24 [4895]~E(x48951,x48952)+P1(f313(f313(f273(a883),x48951),x48952))
% 119.46/119.24 [4902]~E(x49021,f2(a90))+E(f313(f313(f73(a883),f313(a22,x49021)),x49022),x49022)
% 119.46/119.24 [4903]~E(f313(f95(a1),x49032),f313(f91(a1),x49031))+E(x49031,f313(a96,f313(f95(a1),x49032)))
% 119.46/119.24 [4904]~P5(x49041)+E(f86(x49041,f313(f18(x49041,x49041),x49042)),x49042)
% 119.46/119.24 [4917]~P6(x49171)+P6(f313(f313(f232(a1),x49171),x49172))
% 119.46/119.24 [4918]~P81(x49181)+E(f313(f313(f73(x49181),x49182),f313(f72(x49181),x49182)),f2(x49181))
% 119.46/119.24 [4919]~P100(x49191)+E(f313(f313(f92(x49191),x49192),f313(f72(x49191),x49192)),f230(x49191))
% 119.46/119.24 [4920]~P100(x49201)+E(f313(f313(f93(x49201),x49202),f313(f72(x49201),x49202)),f178(x49201))
% 119.46/119.24 [4945]E(x49451,f2(a883))+~E(f313(f72(a1),f313(f91(a1),x49452)),f313(f91(a1),x49451))
% 119.46/119.24 [4946]E(x49461,f2(a883))+~E(f313(f72(a1),f313(f91(a1),x49461)),f313(f91(a1),x49462))
% 119.46/119.24 [4956]E(f184(x49561,x49562),f2(a1))+P1(f313(f313(f222(a1),x49562),x49561))
% 119.46/119.24 [4957]E(f229(x49571,x49572),f2(a90))+P1(f313(f313(f223(a90),x49571),x49572))
% 119.46/119.24 [4958]E(f166(x49581,x49582),f104(a1))+P1(f313(f313(f222(a1),x49581),x49582))
% 119.46/119.24 [4971]E(x49711,f313(a103,f2(a883)))+~E(f313(f313(f74(a883),x49712),x49711),f313(a103,f2(a883)))
% 119.46/119.24 [4972]E(x49721,f313(a103,f2(a883)))+~E(f313(f313(f74(a883),x49721),x49722),f313(a103,f2(a883)))
% 119.46/119.24 [4973]~P113(x49731)+P1(f313(f313(f222(x49731),x49732),x49732))
% 119.46/119.24 [4974]~P120(x49741)+P1(f313(f313(f273(x49741),x49742),x49742))
% 119.46/119.24 [4977]~P98(x49771)+E(f313(f313(f74(x49771),x49772),f313(f95(x49771),a88)),f313(f72(x49771),x49772))
% 119.46/119.24 [4996]~P98(x49961)+E(f313(f72(x49961),f313(f95(x49961),x49962)),f313(f95(x49961),f313(f72(a1),x49962)))
% 119.46/119.24 [4997]~P144(x49971)+E(f313(f72(x49971),f313(f94(x49971),x49972)),f313(f94(x49971),f313(f72(a1),x49972)))
% 119.46/119.24 [4998]~P98(x49981)+E(f313(f72(x49981),f313(f95(x49981),x49982)),f313(f95(x49981),f313(f72(a1),x49982)))
% 119.46/119.24 [5028]~E(x50281,f313(a103,x50282))+P1(f313(f313(f223(a883),f2(a883)),x50281))
% 119.46/119.24 [5046]~P4(x50461)+E(f313(f72(f890(x50461,a881)),f313(f268(x50461),x50462)),f313(f269(x50461),x50462))
% 119.46/119.24 [5047]~P4(x50471)+E(f313(f72(f890(x50471,a881)),f313(f290(x50471),x50472)),f313(f287(x50471),x50472))
% 119.46/119.24 [5048]~P4(x50481)+E(f313(f72(f890(x50481,a881)),f313(f287(x50481),x50482)),f313(f290(x50481),x50482))
% 119.46/119.24 [5049]~P4(x50491)+E(f313(f72(f890(x50491,a881)),f313(f269(x50491),x50492)),f313(f268(x50491),x50492))
% 119.46/119.24 [5060]~E(f313(f91(a1),x50602),x50601)+P1(f313(f313(f222(a1),f2(a1)),x50601))
% 119.46/119.24 [5069]~E(x50692,f2(a1))+E(f46(x50691,x50692),f313(f313(f240(a1,a1),f2(a1)),f313(f69(a1),x50691)))
% 119.46/119.24 [5071]~P110(x50711)+P1(f313(f313(f222(x50711),f178(x50711)),x50712))
% 119.46/119.24 [5072]~P120(x50721)+P1(f313(f313(f273(x50721),f71(x50721)),x50722))
% 119.46/119.24 [5105]E(x51051,x51052)+~E(f313(f313(f73(a1),x51051),x51051),f313(f313(f73(a1),x51052),x51052))
% 119.46/119.24 [5112]~P1(f313(x51121,x51122))+P1(f313(x51121,f313(a96,f450(x51121))))
% 119.46/119.24 [5138]~P115(x51381)+E(f313(f313(f74(x51381),f75(x51381,x51382)),f313(f69(x51381),x51382)),x51382)
% 119.46/119.24 [5145]~E(x51452,f2(a883))+E(f78(f889(a883,a883),f41(x51451,x51452)),f313(f313(f240(a883,a883),f2(a883)),x51451))
% 119.46/119.24 [5146]~E(x51461,x51462)+~P1(f313(f313(f223(a883),x51461),x51462))
% 119.46/119.24 [5147]~E(x51471,x51472)+~P1(f313(f313(f223(a883),x51471),x51472))
% 119.46/119.24 [5148]~E(x51481,x51482)+~P1(f313(f313(f223(a883),x51481),x51482))
% 119.46/119.24 [5149]~E(x51491,x51492)+~P1(f313(f313(f223(a883),x51491),x51492))
% 119.46/119.24 [5150]~E(x51501,x51502)+~P1(f313(f313(f223(a883),x51501),x51502))
% 119.46/119.24 [5151]~E(x51511,x51512)+~P1(f313(f313(f223(a1),x51511),x51512))
% 119.46/119.24 [5154]~P2(x51541)+E(f313(f313(f73(x51541),f71(x51541)),f313(f91(x51541),x51542)),f313(f91(x51541),f313(a103,x51542)))
% 119.46/119.24 [5158]~E(x51581,f2(a883))+~P1(f313(f313(f223(a883),x51582),x51581))
% 119.46/119.24 [5173]E(f140(x51731,x51732),x51732)+~E(f313(f179(f885(x51731)),f140(x51731,x51732)),f313(f179(f885(x51731)),x51732))
% 119.46/119.24 [5174]E(f313(f28(x51741),f313(f160(x51741),x51742)),f313(f179(f885(x51741)),x51742))+~P1(f313(f125(x51741),x51742))
% 119.46/119.24 [5188]~P1(f313(x51881,f340(x51881)))+P1(f313(x51881,f313(f91(a1),x51882)))
% 119.46/119.24 [5199]E(f229(x51991,x51992),x51992)+~P1(f313(f313(f223(a90),x51991),x51992))
% 119.46/119.24 [5201]E(f258(x52011,x52012),f71(a90))+~P1(f313(f313(f223(a90),x52012),x52011))
% 119.46/119.24 [5202]E(f166(x52021,x52022),f104(a1))+~P1(f313(f313(f223(a1),x52022),x52021))
% 119.46/119.24 [5203]E(f117(x52031,x52032),f106(a1))+~P1(f313(f313(f223(a1),x52031),x52032))
% 119.46/119.24 [5205]~P3(x52051)+E(f289(x52051,x52052,x52052),f313(f313(f295(x52051),x52052),f178(f890(x52051,a881))))
% 119.46/119.24 [5225]~E(f313(f313(f3(a883),x52251),x52252),f2(a883))+P1(f313(f313(f222(a883),x52251),x52252))
% 119.46/119.24 [5242]~E(x52422,f2(a883))+E(f48(x52421,x52422,f104(x52421)),f313(f313(f139(f885(x52421)),f104(x52421)),f104(f885(x52421))))
% 119.46/119.24 [5246]~P113(x52461)+~P1(f313(f313(f223(x52461),x52462),x52462))
% 119.46/119.24 [5247]~E(f38(a1,x52471,x52472),f2(a1))+E(f38(a1,x52471,f313(f72(a1),x52472)),f2(a1))
% 119.46/119.24 [5248]~E(f38(a1,x52481,x52482),f2(a1))+E(f38(a1,x52481,f313(f72(a1),x52482)),f2(a1))
% 119.46/119.24 [5249]~E(f38(a1,x52491,x52492),f2(a1))+E(f38(a1,f313(f72(a1),x52491),x52492),f2(a1))
% 119.46/119.24 [5250]~E(f38(a1,x52501,x52502),f2(a1))+E(f38(a1,f313(f72(a1),x52501),x52502),f2(a1))
% 119.46/119.24 [5260]E(f313(f288(a883,x52601),f313(a103,x52602)),f178(f890(a883,a881)))+P1(f313(f313(f222(a883),x52601),x52602))
% 119.46/119.24 [5284]E(f127(a883,f313(f288(a883,x52841),x52842)),f104(a883))+P1(f313(f313(f223(a883),x52841),x52842))
% 119.46/119.24 [5289]~E(f313(f28(x52891),f313(f160(x52891),x52892)),f313(f179(f885(x52891)),x52892))+P1(f313(f125(x52891),x52892))
% 119.46/119.24 [5293]~P1(f313(f125(x52931),x52932))+P1(f313(f125(x52931),f313(f155(x52931),x52932)))
% 119.46/119.24 [5294]~P1(f313(f125(x52941),x52942))+P1(f313(f125(x52941),f313(f159(x52941),x52942)))
% 119.46/119.24 [5295]~P1(f313(f125(x52951),x52952))+P1(f313(f125(x52951),f313(f156(x52951),x52952)))
% 119.46/119.24 [5304]P1(f313(x53041,x53042))+~P1(f313(x53041,f313(a96,f451(x53041))))
% 119.46/119.24 [5305]P1(f313(f313(f222(a883),x53052),x53051))+P1(f313(f313(f222(a883),x53051),x53052))
% 119.46/119.24 [5306]P1(f313(f313(f222(a1),x53062),x53061))+P1(f313(f313(f222(a1),x53061),x53062))
% 119.46/119.24 [5310]~P90(x53101)+P1(f313(f313(f222(x53101),x53102),f313(f69(x53101),x53102)))
% 119.46/119.24 [5313]P1(f313(x53131,f404(x53131)))+~P1(f313(x53131,f313(f91(a1),x53132)))
% 119.46/119.24 [5336]E(f313(f313(f3(a883),x53361),x53362),f2(a883))+~P1(f313(f313(f222(a883),x53361),x53362))
% 119.46/119.24 [5337]E(f313(f313(f3(a883),x53371),x53372),f2(a883))+~P1(f313(f313(f222(a883),x53371),x53372))
% 119.46/119.24 [5338]E(f313(f313(f29(a883),x53381),x53382),f2(a883))+~P1(f313(f313(f223(a883),x53381),x53382))
% 119.46/119.24 [5356]E(f38(a883,x53561,x53562),x53561)+~P1(f313(f313(f223(a883),x53561),x53562))
% 119.46/119.24 [5357]E(f38(a883,x53571,x53572),x53571)+~P1(f313(f313(f223(a883),x53571),x53572))
% 119.46/119.24 [5365]E(f38(a1,x53651,f313(f72(a1),x53652)),f278(x53651,x53652))+P1(f313(f313(f222(a1),f2(a1)),x53652))
% 119.46/119.24 [5377]E(f313(f313(f3(a1),x53771),x53772),f184(x53771,x53772))+~P1(f313(f313(f222(a1),x53772),x53771))
% 119.46/119.24 [5378]E(f313(f313(f3(a1),x53781),x53782),f184(x53781,x53782))+~P1(f313(f313(f222(a1),x53782),x53781))
% 119.46/119.24 [5396]P1(f313(f313(f222(a1),f2(a1)),f340(x53961)))+P1(f313(x53961,f313(f91(a1),x53962)))
% 119.46/119.24 [5408]~P114(x54081)+P1(f313(f313(f222(x54081),f2(x54081)),f313(f91(x54081),x54082)))
% 119.46/119.24 [5409]~P114(x54091)+P1(f313(f313(f222(x54091),f2(x54091)),f313(f91(x54091),x54092)))
% 119.46/119.24 [5410]~P90(x54101)+P1(f313(f313(f222(x54101),f2(x54101)),f313(f69(x54101),x54102)))
% 119.46/119.24 [5438]E(f313(f313(f73(a883),x54381),f513(x54382,x54381)),x54382)+~P1(f313(f313(f222(a883),x54381),x54382))
% 119.46/119.24 [5450]~E(f313(f95(a1),x54501),f313(f91(a1),x54502))+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x54501)))
% 119.46/119.24 [5453]E(f289(a1,x54531,x54532),f178(f890(a1,a881)))+~P1(f313(f313(f223(a1),x54532),x54531))
% 119.46/119.24 [5456]~P115(x54561)+E(f313(f313(f74(x54561),f313(f69(x54561),x54562)),f313(f69(x54561),x54562)),f313(f313(f74(x54561),x54562),x54562))
% 119.46/119.24 [5461]E(f127(a883,f313(f288(a883,x54611),f313(a103,x54612))),f104(a883))+P1(f313(f313(f222(a883),x54611),x54612))
% 119.46/119.24 [5464]E(f313(f313(f29(a1),x54641),x54642),f279(x54641,x54642))+~P1(f313(f313(f222(a1),f2(a1)),x54642))
% 119.46/119.24 [5484]P1(f313(f125(x54841),x54842))+~P1(f313(f125(x54841),f313(f155(x54841),x54842)))
% 119.46/119.24 [5485]P1(f313(f125(x54851),x54852))+~P1(f313(f125(x54851),f313(f156(x54851),x54852)))
% 119.46/119.24 [5512]P1(f313(f54(a883),x55121))+P1(f313(f313(f315(a883),f341(x55121,x55122)),x55121))
% 119.46/119.24 [5513]P1(f313(f54(a883),x55131))+P1(f313(f313(f315(a883),f361(x55131,x55132)),x55131))
% 119.46/119.24 [5516]P1(f313(f313(f223(a883),x55162),f313(a103,x55161)))+P1(f313(f313(f223(a883),x55161),x55162))
% 119.46/119.24 [5517]E(f38(a1,x55171,x55172),f278(x55171,x55172))+~P1(f313(f313(f222(a1),f2(a1)),x55172))
% 119.46/119.24 [5519]E(f127(a883,f313(f288(a883,x55191),x55192)),f104(a883))+~P1(f313(f313(f222(a883),x55192),x55191))
% 119.46/119.24 [5520]E(f127(a883,f313(f288(a883,x55201),x55202)),f104(a883))+~P1(f313(f313(f222(a883),x55202),x55201))
% 119.46/119.24 [5521]~P87(x55211)+E(f313(f296(x55211,x55211,f72(x55211)),f313(f268(x55211),x55212)),f313(f290(x55211),f313(f72(x55211),x55212)))
% 119.46/119.24 [5522]~P87(x55221)+E(f313(f296(x55221,x55221,f72(x55221)),f313(f290(x55221),x55222)),f313(f268(x55221),f313(f72(x55221),x55222)))
% 119.46/119.24 [5523]~P87(x55231)+E(f313(f296(x55231,x55231,f72(x55231)),f313(f287(x55231),x55232)),f313(f269(x55231),f313(f72(x55231),x55232)))
% 119.46/119.24 [5524]~P87(x55241)+E(f313(f296(x55241,x55241,f72(x55241)),f313(f269(x55241),x55242)),f313(f287(x55241),f313(f72(x55241),x55242)))
% 119.46/119.24 [5535]E(x55351,f178(f890(x55352,a881)))+P1(f313(f313(f315(x55352),f363(x55351,x55352)),x55351))
% 119.46/119.24 [5536]E(x55361,f178(f890(x55362,a881)))+P1(f313(f313(f315(x55362),f374(x55361,x55362)),x55361))
% 119.46/119.24 [5543]~P1(f313(f313(f223(a883),x55431),x55432))+P1(f313(f313(f222(a883),x55431),x55432))
% 119.46/119.24 [5544]~P1(f313(f313(f223(a883),x55441),x55442))+P1(f313(f313(f222(a883),x55441),x55442))
% 119.46/119.24 [5545]~P1(f313(f313(f223(a883),x55451),x55452))+P1(f313(f313(f222(a883),x55451),x55452))
% 119.46/119.24 [5546]~P1(f313(f313(f223(a883),x55461),x55462))+P1(f313(f313(f222(a883),x55461),x55462))
% 119.46/119.24 [5547]~P1(f313(f313(f223(a883),x55471),x55472))+P1(f313(f313(f222(a883),x55471),x55472))
% 119.46/119.24 [5548]~P1(f313(f313(f223(a1),x55481),x55482))+P1(f313(f313(f222(a1),x55481),x55482))
% 119.46/119.24 [5564]E(f40(x55641,x55642),f313(f313(f240(a1,a1),f2(a1)),x55641))+~P1(f313(f313(f223(a1),x55641),x55642))
% 119.46/119.24 [5566]E(f205(f313(f72(a1),x55661),f313(f72(a1),x55662)),f205(x55661,x55662))+~P1(f313(f313(f223(a1),x55662),f2(a1)))
% 119.46/119.24 [5578]E(x55781,x55782)+~E(f313(a5,f313(a103,f313(a22,x55781))),f313(a5,f313(a103,f313(a22,x55782))))
% 119.46/119.24 [5583]E(f40(x55831,x55832),f313(f313(f240(a1,a1),f2(a1)),x55831))+~P1(f313(f313(f222(a1),x55832),f2(a1)))
% 119.46/119.24 [5612]E(f38(a883,f313(f95(a883),x56121),f313(f95(a883),x56122)),f2(a883))+~P1(f313(a183,f313(f95(a1),x56121)))
% 119.46/119.24 [5627]P1(f313(f313(f222(a1),f2(a1)),f404(x56271)))+~P1(f313(x56271,f313(f91(a1),x56272)))
% 119.46/119.24 [5661]P40(f289(a1,x56611,x56612))+~P1(f313(f313(f222(a1),f2(a1)),x56611))
% 119.46/119.24 [5666]~P1(f313(f54(x56661),x56662))+P1(f313(f54(f890(x56661,a881)),f313(f294(x56661),x56662)))
% 119.46/119.24 [5679]E(f313(f313(f73(a1),x56791),f313(f91(a1),f537(x56792,x56791))),x56792)+~P1(f313(f313(f222(a1),x56791),x56792))
% 119.46/119.24 [5687]P1(f313(f313(f222(a883),x56871),x56872))+P1(f313(f313(f222(a883),f313(a103,x56872)),x56871))
% 119.46/119.24 [5731]E(f313(f313(f29(a883),f313(f95(a883),x57311)),f313(f95(a883),x57312)),f2(a883))+~P1(f313(a183,f313(f95(a1),x57311)))
% 119.46/119.24 [5732]E(f313(f313(f74(a883),f313(f95(a883),x57321)),f313(f95(a883),x57322)),f2(a883))+~P1(f313(f313(f223(a1),x57321),a76))
% 119.46/119.24 [5733]P1(f313(f313(f222(a883),x57331),f313(a103,x57332)))+~P1(f313(f313(f222(a883),x57331),x57332))
% 119.46/119.24 [5734]P1(f313(f313(f222(a883),x57341),f313(a103,x57342)))+~P1(f313(f313(f222(a883),x57341),x57342))
% 119.46/119.24 [5735]P1(f313(f313(f223(a883),x57351),f313(a103,x57352)))+~P1(f313(f313(f222(a883),x57351),x57352))
% 119.46/119.24 [5736]P1(f313(f313(f223(a883),x57361),f313(a103,x57362)))+~P1(f313(f313(f222(a883),x57361),x57362))
% 119.46/119.24 [5737]P1(f313(f313(f223(a883),x57371),f313(a103,x57372)))+~P1(f313(f313(f223(a883),x57371),x57372))
% 119.46/119.24 [5738]P1(f313(f313(f223(a883),x57381),f313(a103,x57382)))+~P1(f313(f313(f223(a883),x57381),x57382))
% 119.46/119.24 [5741]~E(x57411,x57412)+P1(f313(f313(f223(a1),x57411),f313(f313(f73(a1),x57412),f71(a1))))
% 119.46/119.24 [5744]E(f38(a1,x57441,x57442),f2(a1))+E(f313(f313(f3(a1),x57442),f38(a1,x57441,x57442)),f38(a1,f313(f72(a1),x57441),x57442))
% 119.46/119.24 [5753]E(x57531,f104(x57532))+P1(f313(f313(f315(x57532),f132(x57532,x57531)),f313(f160(x57532),x57531)))
% 119.46/119.24 [5764]E(f78(f889(a883,a883),f41(x57641,x57642)),f313(f313(f240(a883,a883),f2(a883)),x57641))+~P1(f313(f313(f223(a883),x57641),x57642))
% 119.46/119.24 [5765]E(f78(f889(a883,a883),f41(x57651,x57652)),f313(f313(f240(a883,a883),f2(a883)),x57651))+~P1(f313(f313(f223(a883),x57651),x57652))
% 119.46/119.24 [5809]E(f313(f313(f73(a883),f313(f95(a883),x58091)),f313(f95(a883),x58092)),f313(f95(a883),x58092))+~P1(f313(f313(f223(a1),x58091),a76))
% 119.46/119.24 [5810]E(f313(f313(f3(a883),f313(f95(a883),x58101)),f313(f95(a883),x58102)),f313(f95(a883),x58101))+~P1(f313(f313(f223(a1),x58102),a76))
% 119.46/119.24 [5817]E(f313(a103,f313(f313(f73(a883),x58171),f538(x58172,x58171))),x58172)+~P1(f313(f313(f223(a883),x58171),x58172))
% 119.46/119.24 [5823]~P1(f313(f313(f273(a1),x58231),x58232))+P1(f313(f313(f273(a1),x58231),f313(f72(a1),x58232)))
% 119.46/119.24 [5841]P1(f313(x58411,x58412))+~P1(f313(x58411,f313(a82,f569(x58412,x58411))))
% 119.46/119.24 [5849]~P1(f313(f313(f223(a883),x58491),f313(a103,x58492)))+P1(f313(f313(f222(a883),x58491),x58492))
% 119.46/119.24 [5898]E(f313(f313(f295(a883),x58981),f313(f288(a883,x58982),x58981)),f313(f288(a883,x58982),f313(a103,x58981)))+~P1(f313(f313(f222(a883),x58982),x58981))
% 119.46/119.24 [5901]E(x59011,f104(x59012))+E(f313(f313(f122(x59012),f105(x59012,x59011)),f313(f313(f139(x59012),f132(x59012,x59011)),f104(x59012))),x59011)
% 119.46/119.24 [5917]P1(f313(f54(x59171),x59172))+~P1(f313(f313(f223(a883),f2(a883)),f313(f28(x59171),x59172)))
% 119.46/119.24 [5918]P1(f313(f54(x59181),x59182))+~P1(f313(f313(f223(a883),f2(a883)),f313(f28(x59181),x59182)))
% 119.46/119.24 [5922]~E(x59221,f178(f890(x59222,a881)))+~P1(f313(f313(f223(a883),f2(a883)),f313(f28(x59222),x59221)))
% 119.46/119.24 [5932]~P1(f313(f313(f223(a883),x59321),x59322))+P1(f313(f313(f222(a883),f313(a103,x59321)),x59322))
% 119.46/119.24 [5933]~P1(f313(f313(f223(a883),x59331),x59332))+P1(f313(f313(f222(a883),f313(a103,x59331)),x59332))
% 119.46/119.24 [5934]~P1(f313(f313(f223(a883),x59341),x59342))+P1(f313(f313(f222(a883),f313(a103,x59341)),x59342))
% 119.46/119.24 [5938]~P4(x59381)+E(f138(x59381,x59381,f7(x59381),f140(x59381,x59382)),f127(x59381,f313(f160(x59381),x59382)))
% 119.46/119.24 [5941]E(x59411,f104(x59412))+P1(f313(f313(f315(x59412),f313(f129(x59412),x59411)),f313(f160(x59412),x59411)))
% 119.46/119.24 [5947]~P114(x59471)+P1(f313(f313(f223(x59471),x59472),f313(f313(f73(x59471),x59472),f71(x59471))))
% 119.46/119.24 [5949]~P90(x59491)+P1(f313(f313(f222(x59491),f313(f72(x59491),x59492)),f313(f69(x59491),x59492)))
% 119.46/119.24 [5963]P1(f313(f313(f273(a1),x59631),x59632))+~P1(f313(f313(f273(a1),x59631),f313(f72(a1),x59632)))
% 119.46/119.24 [5964]~E(x59641,x59642)+E(f276(a883,f273(a883),x59641,x59642),f313(f313(f295(a883),x59641),f178(f890(a883,a881))))
% 119.46/119.24 [5984]P1(f313(f54(a883),x59841))+~P1(f313(f313(f222(a883),f361(x59841,x59842)),x59842))
% 119.46/119.24 [5985]P1(f313(f54(a883),x59851))+~P1(f313(f313(f223(a883),f341(x59851,x59852)),x59852))
% 119.46/119.24 [5989]~P1(f313(f54(f889(x59891,x59891)),x59892))+P1(f313(f54(x59891),f313(f267(x59891),x59892)))
% 119.46/119.24 [6044]E(f276(a883,f273(a883),x60441,x60442),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x60441),x60442))
% 119.46/119.24 [6045]E(f276(a883,f273(a883),x60451,x60452),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x60451),x60452))
% 119.46/119.24 [6046]E(f166(f313(f95(a1),x60461),f313(f95(a1),x60462)),f104(a1))+P1(f313(f313(f222(a1),f313(f95(a1),x60461)),f313(f95(a1),x60462)))
% 119.46/119.24 [6048]~P1(f313(f313(f223(a883),x60482),f313(a103,x60481)))+~P1(f313(f313(f223(a883),x60481),x60482))
% 119.46/119.24 [6049]~P3(x60491)+E(f313(f313(f93(f890(x60491,a881)),f313(f287(x60491),x60492)),f313(f269(x60491),x60492)),f313(f313(f295(x60491),x60492),f178(f890(x60491,a881))))
% 119.46/119.24 [6051]E(f313(f313(f232(a883),f313(f95(a883),x60511)),f313(f95(a883),x60512)),f313(f313(f232(a883),f2(a883)),f313(f95(a883),x60512)))+~P1(f313(a183,f313(f95(a1),x60511)))
% 119.46/119.24 [6062]P1(f313(f54(x60621),x60622))+~P1(f313(f54(f890(x60621,a881)),f313(f294(x60621),x60622)))
% 119.46/119.24 [6084]P1(f313(f313(f222(a883),f313(a103,x60841)),f313(a103,x60842)))+~P1(f313(f313(f222(a883),x60841),x60842))
% 119.46/119.24 [6085]P1(f313(f313(f222(a883),f313(a22,x60851)),f313(a22,x60852)))+~P1(f313(f313(f222(a90),x60851),x60852))
% 119.46/119.24 [6086]P1(f313(f313(f222(a90),f313(a5,x60861)),f313(a5,x60862)))+~P1(f313(f313(f222(a883),x60861),x60862))
% 119.46/119.24 [6087]P1(f313(f313(f223(a883),f313(a103,x60871)),f313(a103,x60872)))+~P1(f313(f313(f223(a883),x60871),x60872))
% 119.46/119.24 [6088]P1(f313(f313(f223(a883),f313(a103,x60881)),f313(a103,x60882)))+~P1(f313(f313(f223(a883),x60881),x60882))
% 119.46/119.24 [6089]P1(f313(f313(f223(a883),f313(a22,x60891)),f313(a22,x60892)))+~P1(f313(f313(f223(a90),x60891),x60892))
% 119.46/119.24 [6090]P1(f313(f313(f223(a90),f313(a5,x60901)),f313(a5,x60902)))+~P1(f313(f313(f223(a883),x60901),x60902))
% 119.46/119.24 [6095]E(x60951,x60952)+~E(f313(f296(a883,a1,f91(a1)),x60951),f313(f296(a883,a1,f91(a1)),x60952))
% 119.46/119.24 [6111]P1(f313(f313(f222(a883),x61111),x61112))+~P1(f313(f313(f222(a883),f313(a103,x61111)),x61112))
% 119.46/119.24 [6112]P1(f313(f313(f223(a883),x61121),x61122))+~P1(f313(f313(f222(a883),f313(a103,x61121)),x61122))
% 119.46/119.24 [6113]P1(f313(f313(f223(a883),x61131),x61132))+~P1(f313(f313(f222(a883),f313(a103,x61131)),x61132))
% 119.46/119.24 [6114]P1(f313(f313(f223(a883),x61141),x61142))+~P1(f313(f313(f222(a883),f313(a103,x61141)),x61142))
% 119.46/119.24 [6115]P1(f313(f313(f223(a883),x61151),x61152))+~P1(f313(f313(f223(a883),f313(a103,x61151)),x61152))
% 119.46/119.24 [6135]E(f38(a1,x61351,x61352),f2(a1))+E(f313(f313(f3(a1),f38(a1,x61351,x61352)),x61352),f38(a1,x61351,f313(f72(a1),x61352)))
% 119.46/119.24 [6206]E(f313(f28(f890(x62061,a881)),f313(f294(x62061),x62062)),f313(f313(f232(a883),f313(a103,f313(a103,f2(a883)))),f313(f28(x62061),x62062)))+~P1(f313(f54(x62061),x62062))
% 119.46/119.24 [6209]E(x62091,f104(x62092))+E(f313(f313(f152(x62092),x62091),f313(f313(f3(a883),f313(f179(f885(x62092)),x62091)),f71(a883))),f132(x62092,x62091))
% 119.46/119.24 [6231]E(x62311,f104(x62312))+E(f313(f313(f122(x62312),f313(f159(x62312),x62311)),f313(f313(f139(x62312),f313(f129(x62312),x62311)),f104(x62312))),f313(f155(x62312),x62311))
% 119.46/119.24 [6232]~P1(f313(f178(f890(x62321,a881)),x62322))+P1(f313(f313(f315(x62321),x62322),f178(f890(x62321,a881))))
% 119.46/119.24 [6263]~P1(f313(f54(x62631),f30(f890(x62631,a881),x62632)))+P1(f313(f54(f890(x62631,a881)),x62632))
% 119.46/119.24 [6285]P1(f313(f313(f222(a883),f313(f95(a883),x62851)),f313(f95(a883),x62852)))+~P1(f313(f313(f222(a1),x62851),a76))
% 119.46/119.24 [6308]~P1(f313(f313(f223(a1),x63081),x63082))+P1(f313(f313(f222(a1),x63081),f313(f313(f3(a1),x63082),f71(a1))))
% 119.46/119.24 [6309]~P1(f313(f313(f222(a1),x63091),x63092))+P1(f313(f313(f223(a1),x63091),f313(f313(f73(a1),x63092),f71(a1))))
% 119.46/119.24 [6310]~P1(f313(f313(f223(a1),x63101),x63102))+P1(f313(f313(f223(a1),x63101),f313(f313(f73(a1),x63102),f71(a1))))
% 119.46/119.24 [6312]~P1(f313(f313(f222(a1),x63121),x63122))+P1(f313(f313(f222(a883),f313(f95(a883),x63121)),f313(f95(a883),x63122)))
% 119.46/119.24 [6313]~P1(f313(f313(f222(a883),x63131),x63132))+P1(f313(f313(f222(a1),f313(f91(a1),x63131)),f313(f91(a1),x63132)))
% 119.46/119.24 [6314]~P1(f313(f313(f222(a883),x63141),x63142))+P1(f313(f313(f222(a1),f313(f91(a1),x63141)),f313(f91(a1),x63142)))
% 119.46/119.24 [6315]~P1(f313(f313(f222(a1),x63151),x63152))+P1(f313(f313(f222(a1),f313(f95(a1),x63151)),f313(f95(a1),x63152)))
% 119.46/119.24 [6316]~P1(f313(f313(f223(a883),x63161),x63162))+P1(f313(f313(f223(a1),f313(f91(a1),x63161)),f313(f91(a1),x63162)))
% 119.46/119.24 [6317]~P1(f313(f313(f223(a883),x63171),x63172))+P1(f313(f313(f223(a1),f313(f91(a1),x63171)),f313(f91(a1),x63172)))
% 119.46/119.24 [6318]~P1(f313(f313(f223(a1),x63181),x63182))+P1(f313(f313(f223(a1),f313(f95(a1),x63181)),f313(f95(a1),x63182)))
% 119.46/119.24 [6319]~P1(f313(f313(f273(a883),x63191),x63192))+P1(f313(f313(f273(a1),f313(f91(a1),x63191)),f313(f91(a1),x63192)))
% 119.46/119.24 [6320]~P1(f313(f313(f273(a883),x63201),x63202))+P1(f313(f313(f273(a1),f313(f91(a1),x63201)),f313(f91(a1),x63202)))
% 119.46/119.24 [6327]~E(x63272,f178(f890(x63271,a881)))+P1(f313(f313(f222(f890(x63271,a881)),x63272),f178(f890(x63271,a881))))
% 119.46/119.24 [6340]~P1(f313(f313(f222(a883),x63401),x63402))+~P1(f313(f313(f222(a883),f313(a103,x63402)),x63401))
% 119.46/119.24 [6387]~P1(f313(f313(f222(a883),f313(a103,x63871)),f313(a103,x63872)))+P1(f313(f313(f222(a883),x63871),x63872))
% 119.46/119.24 [6388]~P1(f313(f313(f222(a90),f313(a5,x63881)),f313(a5,x63882)))+P1(f313(f313(f222(a883),x63881),x63882))
% 119.46/119.24 [6389]~P1(f313(f313(f222(a883),f313(a22,x63891)),f313(a22,x63892)))+P1(f313(f313(f222(a90),x63891),x63892))
% 119.46/119.24 [6390]~P1(f313(f313(f223(a883),f313(a103,x63901)),f313(a103,x63902)))+P1(f313(f313(f223(a883),x63901),x63902))
% 119.46/119.24 [6391]~P1(f313(f313(f223(a883),f313(a103,x63911)),f313(a103,x63912)))+P1(f313(f313(f223(a883),x63911),x63912))
% 119.46/119.24 [6392]~P1(f313(f313(f223(a90),f313(a5,x63921)),f313(a5,x63922)))+P1(f313(f313(f223(a883),x63921),x63922))
% 119.46/119.24 [6393]~P1(f313(f313(f223(a883),f313(a96,x63931)),f313(a96,x63932)))+P1(f313(f313(f223(a1),x63931),x63932))
% 119.46/119.24 [6394]~P1(f313(f313(f223(a883),f313(a22,x63941)),f313(a22,x63942)))+P1(f313(f313(f223(a90),x63941),x63942))
% 119.46/119.24 [6413]~P1(f313(f313(f273(a883),x64132),x64131))+P1(f313(f313(f315(a883),x64131),f280(a883,f273(a883),x64132)))
% 119.46/119.24 [6414]~P1(f313(f313(f273(a883),x64141),x64142))+P1(f313(f313(f315(a883),x64141),f282(a883,f273(a883),x64142)))
% 119.46/119.24 [6418]~P1(f313(f313(f315(x64181),x64182),f178(f890(x64181,a881))))+P1(f313(f178(f890(x64181,a881)),x64182))
% 119.46/119.24 [6440]~P1(f313(f313(f223(a883),f313(a96,x64402)),f313(a96,x64401)))+P1(f313(f313(f223(a1),f2(a1)),x64401))
% 119.46/119.24 [6451]~E(f38(a1,f313(f95(a1),x64512),f313(f95(a1),x64511)),f2(a1))+P1(f313(f313(f273(a1),f313(f95(a1),x64511)),f313(f95(a1),x64512)))
% 119.46/119.24 [6472]P1(f313(f313(f222(a1),f2(a1)),f38(a1,x64721,x64722)))+~P1(f313(f313(f223(a1),f2(a1)),x64722))
% 119.46/119.24 [6473]P1(f313(f313(f222(a1),f2(a1)),f38(a1,x64731,x64732)))+~P1(f313(f313(f223(a1),f2(a1)),x64732))
% 119.46/119.24 [6645]P36(x66451,x66452)+~E(f313(f313(f275(x66451,x66451,x66451),x66452),x66452),f178(f890(f889(x66451,x66451),a881)))
% 119.46/119.24 [6662]~P36(x66621,x66622)+P36(x66621,f313(f313(f275(x66621,x66621,x66621),x66622),x66622))
% 119.46/119.24 [6673]P1(f313(f313(f222(a1),x66731),x66732))+~P1(f313(f313(f223(a1),x66731),f313(f313(f73(a1),x66732),f71(a1))))
% 119.46/119.24 [6674]P1(f313(f313(f223(a1),x66741),x66742))+~P1(f313(f313(f222(a1),x66741),f313(f313(f3(a1),x66742),f71(a1))))
% 119.46/119.24 [6676]P1(f313(f313(f222(a883),x66761),x66762))+~P1(f313(f313(f222(a1),f313(f91(a1),x66761)),f313(f91(a1),x66762)))
% 119.46/119.24 [6677]P1(f313(f313(f222(a883),x66771),x66772))+~P1(f313(f313(f222(a1),f313(f91(a1),x66771)),f313(f91(a1),x66772)))
% 119.46/119.24 [6678]P1(f313(f313(f222(a1),x66781),x66782))+~P1(f313(f313(f222(a1),f313(f95(a1),x66781)),f313(f95(a1),x66782)))
% 119.46/119.24 [6679]P1(f313(f313(f223(a883),x66791),x66792))+~P1(f313(f313(f223(a1),f313(f91(a1),x66791)),f313(f91(a1),x66792)))
% 119.46/119.24 [6680]P1(f313(f313(f223(a883),x66801),x66802))+~P1(f313(f313(f223(a1),f313(f91(a1),x66801)),f313(f91(a1),x66802)))
% 119.46/119.24 [6681]P1(f313(f313(f223(a1),x66811),x66812))+~P1(f313(f313(f223(a883),f313(f95(a883),x66811)),f313(f95(a883),x66812)))
% 119.46/119.24 [6682]P1(f313(f313(f223(a1),x66821),x66822))+~P1(f313(f313(f223(a1),f313(f95(a1),x66821)),f313(f95(a1),x66822)))
% 119.46/119.24 [6683]P1(f313(f313(f273(a883),x66831),x66832))+~P1(f313(f313(f273(a1),f313(f91(a1),x66831)),f313(f91(a1),x66832)))
% 119.46/119.24 [6684]P1(f313(f313(f273(a883),x66841),x66842))+~P1(f313(f313(f273(a1),f313(f91(a1),x66841)),f313(f91(a1),x66842)))
% 119.46/119.24 [6745]E(f38(a1,f313(f95(a1),x67451),f313(f95(a1),x67452)),f2(a1))+~P1(f313(f313(f273(a1),f313(f95(a1),x67452)),f313(f95(a1),x67451)))
% 119.46/119.24 [6759]~E(f276(a883,f273(a883),x67591,x67592),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x67591),x67592))
% 119.46/119.24 [6760]~E(f276(a883,f273(a883),x67601,x67602),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x67601),x67602))
% 119.46/119.24 [6785]P1(f313(f313(f273(a883),x67851),x67852))+~P1(f313(f313(f315(a883),x67852),f280(a883,f273(a883),x67851)))
% 119.46/119.24 [6786]P1(f313(f313(f273(a883),x67861),x67862))+~P1(f313(f313(f315(a883),x67861),f282(a883,f273(a883),x67862)))
% 119.46/119.24 [6787]~E(f711(x67872,x67871),f104(x67871))+E(f313(f130(f885(x67871),f885(x67871),f122(x67871),f104(x67871)),x67872),f104(x67871))
% 119.46/119.24 [6788]~E(f716(x67882,x67881),f104(x67881))+E(f313(f130(f885(x67881),f885(x67881),f122(x67881),f104(x67881)),x67882),f104(x67881))
% 119.46/119.24 [6792]~P5(x67921)+E(f313(f130(x67921,x67921,f93(x67921),f230(x67921)),x67922),f31(x67921,f313(f160(x67921),x67922)))
% 119.46/119.24 [6793]~P5(x67931)+E(f313(f130(x67931,x67931,f92(x67931),f178(x67931)),x67932),f30(x67931,f313(f160(x67931),x67932)))
% 119.46/119.24 [6807]E(x68071,f2(a90))+E(f313(f313(f73(a883),f313(a22,f313(f313(f3(a90),x68071),f71(a90)))),f313(a103,x68072)),f313(f313(f73(a883),f313(a22,x68071)),x68072))
% 119.46/119.24 [6857]P1(f313(f313(f223(a1),f313(f313(f3(a1),x68571),x68572)),f2(a1)))+~P1(f313(f313(f223(a1),x68571),x68572))
% 119.46/119.24 [6886]~P4(x68861)+E(f313(f313(f92(f890(x68861,a881)),f313(f313(f295(x68861),x68862),f178(f890(x68861,a881)))),f313(f290(x68861),x68862)),f313(f269(x68861),x68862))
% 119.46/119.24 [6968]~P62(x69681,x69682)+P36(x69681,f313(f250(f889(x69681,x69681)),f313(f245(x69681,x69681,a881),x69682)))
% 119.46/119.24 [6969]~P62(x69691,x69692)+P60(x69691,f313(f250(f889(x69691,x69691)),f313(f245(x69691,x69691,a881),x69692)))
% 119.46/119.24 [6970]~P52(x69701,x69702)+P37(x69701,f313(f250(f889(x69701,x69701)),f313(f245(x69701,x69701,a881),x69702)))
% 119.46/119.24 [6971]~P53(x69711,x69712)+P54(x69711,f313(f250(f889(x69711,x69711)),f313(f245(x69711,x69711,a881),x69712)))
% 119.46/119.24 [6972]E(x69721,f178(f890(x69722,a881)))+~P1(f313(f313(f222(f890(x69722,a881)),x69721),f178(f890(x69722,a881))))
% 119.46/119.24 [7057]~P1(f313(f313(f223(a883),f2(a883)),x70572))+P1(f313(f313(f222(a883),f38(a883,x70571,x70572)),x70572))
% 119.46/119.24 [7058]~P1(f313(f313(f222(a1),f2(a1)),x70581))+P1(f313(f313(f222(a1),f38(a1,x70581,x70582)),x70581))
% 119.46/119.24 [7059]~P1(f313(f313(f223(a883),f2(a883)),x70592))+P1(f313(f313(f223(a883),f38(a883,x70591,x70592)),x70592))
% 119.46/119.24 [7060]~P1(f313(f313(f223(a1),f2(a1)),x70602))+P1(f313(f313(f223(a1),f38(a1,x70601,x70602)),x70602))
% 119.46/119.24 [7061]~P1(f313(f313(f223(a1),f2(a1)),x70612))+P1(f313(f313(f223(a1),f38(a1,x70611,x70612)),x70612))
% 119.46/119.24 [7137]~P3(x71371)+E(f313(f313(f3(f890(x71371,a881)),f313(f313(f295(x71371),x71372),f178(f890(x71371,a881)))),f313(f268(x71371),x71372)),f313(f313(f295(x71371),x71372),f178(f890(x71371,a881))))
% 119.46/119.24 [7214]~P50(x72141,x72142)+P55(x72141,f230(f890(x72141,a881)),f313(f250(f889(x72141,x72141)),f313(f245(x72141,x72141,a881),x72142)))
% 119.46/119.24 [7215]P1(f313(x72151,x72152))+P1(f313(f313(f315(f890(f889(a883,a883),a881)),f569(x72152,x72151)),a89))
% 119.46/119.24 [7257]E(f313(f313(f122(a883),f127(a883,f313(f288(a883,x72571),x72572))),f313(f313(f139(a883),x72572),f104(a883))),f127(a883,f313(f288(a883,x72571),f313(a103,x72572))))+~P1(f313(f313(f222(a883),x72571),x72572))
% 119.46/119.24 [7258]E(f313(f313(f122(a883),f127(a883,f313(f288(a883,x72581),x72582))),f313(f313(f139(a883),x72582),f104(a883))),f127(a883,f313(f288(a883,x72581),f313(a103,x72582))))+~P1(f313(f313(f222(a883),x72581),x72582))
% 119.46/119.24 [7413]E(x74131,f2(a883))+~E(f313(f130(a883,a883,f73(a883),x74131),x74132),f2(a883))
% 119.46/119.24 [7440]~P1(f313(f313(f223(a1),f313(f313(f3(a1),x74401),x74402)),f2(a1)))+P1(f313(f313(f223(a1),x74401),x74402))
% 119.46/119.24 [7469]P36(x74691,x74692)+~P36(x74691,f313(f313(f275(x74691,x74691,x74691),x74692),x74692))
% 119.46/119.24 [7494]~P1(f313(f313(f222(a883),f313(a103,x74941)),x74942))+P1(f173(a881,a176,f313(f222(a883),x74941),x74942))
% 119.46/119.24 [7651]P24(a883,a883,f313(f313(f9(a883,a883,a883),f3(a883)),x76511),x76512)+P1(f313(f313(f315(a883),f570(x76511,x76512)),x76512))
% 119.46/119.24 [7708]E(f313(f313(f313(f58(a883,x77081,f73(a883)),f313(f18(a883,x77081),f71(a883))),f2(a883)),x77082),f313(f28(x77081),x77082))+~P1(f313(f54(x77081),x77082))
% 119.46/119.24 [7709]E(f313(f313(f313(f58(a883,x77091,f73(a883)),f313(f18(a883,x77091),f71(a883))),f2(a883)),x77092),f313(f28(x77091),x77092))+~P1(f313(f54(x77091),x77092))
% 119.46/119.24 [7752]P24(a883,a883,f313(f313(f9(a883,a883,a883),f3(a883)),x77521),x77522)+~P1(f313(f313(f222(a883),x77521),f570(x77521,x77522)))
% 119.46/119.24 [7808]P36(x78081,x78082)+P1(f313(f313(f222(f890(x78081,a881)),f566(x78082,x78081)),f313(f271(x78081,x78081,x78082),f566(x78082,x78081))))
% 119.46/119.24 [7813]P62(x78131,x78132)+~P36(x78131,f313(f250(f889(x78131,x78131)),f313(f245(x78131,x78131,a881),x78132)))
% 119.46/119.24 [7814]P52(x78141,x78142)+~P37(x78141,f313(f250(f889(x78141,x78141)),f313(f245(x78141,x78141,a881),x78142)))
% 119.46/119.24 [7815]P53(x78151,x78152)+~P54(x78151,f313(f250(f889(x78151,x78151)),f313(f245(x78151,x78151,a881),x78152)))
% 119.46/119.24 [7882]P1(f313(f313(f222(a883),f313(a103,x78821)),x78822))+~P1(f173(a881,a176,f313(f222(a883),x78821),x78822))
% 119.46/119.24 [7940]P1(f313(f313(f315(f889(a883,a883)),f313(f313(f240(a883,a883),x79401),x79402)),f293(a883,a303)))+~P1(f313(f313(f222(a883),x79401),x79402))
% 119.46/119.24 [8036]P50(x80361,x80362)+~P55(x80361,f230(f890(x80361,a881)),f313(f250(f889(x80361,x80361)),f313(f245(x80361,x80361,a881),x80362)))
% 119.46/119.24 [8092]~P1(f313(f125(x80921),x80922))+P1(f313(f125(f890(x80921,a881)),f313(f313(f142(f885(x80921),f890(x80921,a881)),f160(x80921)),f47(x80921,x80922))))
% 119.46/119.24 [8292]~P36(x82921,f313(f272(x82921,x82921),x82922))+P36(x82921,f313(f272(x82921,x82921),f313(f313(f275(x82921,x82921,x82921),x82922),f293(x82921,x82922))))
% 119.46/119.24 [8415]P1(f313(f54(f889(x84151,x84151)),f313(f313(f275(x84151,x84151,x84151),x84152),f293(x84151,x84152))))+~P1(f313(f54(f889(x84151,x84151)),x84152))
% 119.46/119.24 [8442]E(x84421,f2(a1))+P1(f313(f42(x84422,x84421),f313(f313(f240(a1,a1),f313(f313(f29(a1),x84422),x84421)),f38(a1,x84422,x84421))))
% 119.46/119.24 [8455]~P1(f313(f313(f315(f889(a883,a883)),f313(f313(f240(a883,a883),x84551),x84552)),f293(a883,a303)))+P1(f313(f313(f222(a883),x84551),x84552))
% 119.46/119.24 [8472]~P83(x84721)+E(f313(f130(x84721,x84721,f313(f9(x84721,x84721,x84721),f73(x84721)),f2(x84721)),f313(f156(x84721),x84722)),f313(f130(x84721,x84721,f73(x84721),f2(x84721)),x84722))
% 119.46/119.24 [8645]~P4(x86451)+E(f313(f130(f885(x86451),x86451,f313(f9(x86451,f885(x86451),f885(x86451)),f136(x86451,x86451,f7(x86451))),f104(x86451)),x86452),f138(x86451,x86451,f7(x86451),x86452))
% 119.46/119.24 [8742]~P60(x87421,f313(f250(f889(x87421,x87421)),f313(f245(x87421,x87421,a881),x87422)))+P60(x87421,f313(f250(f889(x87421,x87421)),f313(f245(x87421,x87421,a881),f231(x87421,x87421,x87422))))
% 119.46/119.24 [8756]P1(f313(f313(f315(f889(a883,a883)),f313(f313(f240(a883,a883),x87561),x87562)),f313(f313(f275(a883,a883,a883),a303),f293(a883,a303))))+~P1(f313(f313(f223(a883),x87561),x87562))
% 119.46/119.24 [8798]~P1(f313(f54(f889(x87981,x87981)),f313(f313(f275(x87981,x87981,x87981),x87982),f293(x87981,x87982))))+P1(f313(f54(f889(x87981,x87981)),x87982))
% 119.46/119.24 [8851]~P60(x88511,f313(f250(f889(x88511,x88511)),f313(f245(x88511,x88511,a881),f231(x88511,x88511,x88512))))+P60(x88511,f313(f250(f889(x88511,x88511)),f313(f245(x88511,x88511,a881),x88512)))
% 119.46/119.24 [9048]P60(x90481,x90482)+P1(f313(f313(f315(f889(x90481,x90481)),f313(f313(f240(x90481,x90481),f598(x90482,x90481)),f598(x90482,x90481))),f313(f313(f275(x90481,x90481,x90481),x90482),f293(x90481,x90482))))
% 119.46/119.24 [9049]P60(x90491,x90492)+P1(f313(f313(f315(f889(x90491,x90491)),f313(f313(f240(x90491,x90491),f609(x90492,x90491)),f609(x90492,x90491))),f313(f313(f275(x90491,x90491,x90491),x90492),f293(x90491,x90492))))
% 119.46/119.24 [9166]~P1(f313(f313(f315(f889(a883,a883)),f313(f313(f240(a883,a883),x91661),x91662)),f313(f313(f275(a883,a883,a883),a303),f293(a883,a303))))+P1(f313(f313(f223(a883),x91661),x91662))
% 119.46/119.24 [5042]~P98(x50421)+E(f313(f313(f73(x50421),f313(f95(x50421),a76)),x50422),x50422)
% 119.46/119.24 [5077]~P81(x50771)+E(f313(f313(f73(x50771),f313(f72(x50771),x50772)),x50772),f2(x50771))
% 119.46/119.24 [5078]~P65(x50781)+E(f313(f313(f73(x50781),f313(f72(x50781),x50782)),x50782),f2(x50781))
% 119.46/119.24 [5079]~P100(x50791)+E(f313(f313(f92(x50791),f313(f72(x50791),x50792)),x50792),f230(x50791))
% 119.46/119.24 [5080]~P100(x50801)+E(f313(f313(f93(x50801),f313(f72(x50801),x50802)),x50802),f178(x50801))
% 119.46/119.24 [5116]~P98(x51161)+E(f313(f313(f74(x51161),f313(f95(x51161),a88)),x51162),f313(f72(x51161),x51162))
% 119.46/119.24 [5276]~P121(x52761)+E(f313(f313(f74(x52761),f313(f72(x52761),f71(x52761))),x52762),f313(f72(x52761),x52762))
% 119.46/119.24 [5322]E(f313(f69(a1),x53221),f71(a1))+~E(f313(f69(a1),f313(f313(f74(a1),x53221),x53222)),f71(a1))
% 119.46/119.24 [5412]~P98(x54121)+E(f313(f313(f73(x54121),f71(x54121)),f313(f95(x54121),x54122)),f313(f95(x54121),f313(f313(f3(a1),x54122),a88)))
% 119.46/119.24 [5465]~P103(x54651)+E(f15(x54651,f313(f313(f295(x54651),x54652),f178(f890(x54651,a881)))),x54652)
% 119.46/119.24 [5466]~P4(x54661)+E(f16(x54661,f313(f313(f295(x54661),x54662),f178(f890(x54661,a881)))),x54662)
% 119.46/119.24 [5467]~P4(x54671)+E(f17(x54671,f313(f313(f295(x54671),x54672),f178(f890(x54671,a881)))),x54672)
% 119.46/119.24 [5468]~P103(x54681)+E(f12(x54681,f313(f313(f295(x54681),x54682),f178(f890(x54681,a881)))),x54682)
% 119.46/119.24 [5469]~P5(x54691)+E(f31(x54691,f313(f313(f295(x54691),x54692),f178(f890(x54691,a881)))),x54692)
% 119.46/119.24 [5470]~P5(x54701)+E(f30(x54701,f313(f313(f295(x54701),x54702),f178(f890(x54701,a881)))),x54702)
% 119.46/119.24 [5492]E(f313(f313(f73(a883),x54921),f313(f313(f3(a883),x54922),x54921)),x54922)+P1(f313(f313(f223(a883),x54922),x54921))
% 119.46/119.24 [5530]E(x55301,f104(x55302))+P1(f313(f313(f223(a883),f2(a883)),f313(f179(f885(x55302)),x55301)))
% 119.46/119.24 [5658]~P4(x56581)+E(f13(x56581,f177(x56581),f313(f313(f295(x56581),x56582),f178(f890(x56581,a881)))),x56582)
% 119.46/119.24 [5659]~P4(x56591)+E(f14(x56591,f227(x56591),f313(f313(f295(x56591),x56592),f178(f890(x56591,a881)))),x56592)
% 119.46/119.24 [5720]E(f313(f313(f74(a1),x57201),f313(f313(f29(a1),x57202),x57201)),x57202)+~P1(f313(f313(f273(a1),x57201),x57202))
% 119.46/119.24 [5721]E(f313(f313(f73(a883),x57211),f313(f313(f3(a883),x57212),x57211)),x57212)+~P1(f313(f313(f222(a883),x57211),x57212))
% 119.46/119.24 [5722]E(f313(f313(f3(a883),x57221),f313(f313(f3(a883),x57221),x57222)),x57222)+~P1(f313(f313(f222(a883),x57222),x57221))
% 119.46/119.24 [5742]E(f38(a883,f313(f313(f3(a883),x57421),x57422),x57422),f38(a883,x57421,x57422))+P1(f313(f313(f223(a883),x57421),x57422))
% 119.46/119.24 [5743]E(f38(a883,f313(f313(f3(a883),x57431),x57432),x57432),f38(a883,x57431,x57432))+P1(f313(f313(f223(a883),x57431),x57432))
% 119.46/119.24 [5754]E(f313(f72(a1),f313(f313(f29(a1),x57541),f313(f72(a1),x57542))),f279(x57541,x57542))+P1(f313(f313(f222(a1),f2(a1)),x57542))
% 119.46/119.24 [5756]~E(x57562,f2(a883))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f232(a883),x57561),x57562)))
% 119.46/119.24 [5820]~P98(x58201)+E(f313(f313(f73(x58201),f313(f72(x58201),f71(x58201))),f313(f95(x58201),x58202)),f313(f95(x58201),f313(f313(f73(a1),x58202),a88)))
% 119.46/119.24 [5821]E(f313(f313(f232(a883),f313(f95(a883),x58211)),x58212),f313(f313(f232(a883),f2(a883)),x58212))+~P1(f313(a183,f313(f95(a1),x58211)))
% 119.46/119.24 [5926]E(f313(f129(a883),f127(a883,f313(f288(a883,x59261),x59262))),x59261)+~P1(f313(f313(f223(a883),x59261),x59262))
% 119.46/119.24 [5942]E(f313(f313(f74(a883),f313(f95(a883),x59421)),f313(f95(a883),x59422)),f313(f95(a883),f313(f313(f74(a1),x59421),x59422)))+P1(f313(f313(f223(a1),x59421),a76))
% 119.46/119.24 [5948]~P129(x59481)+P1(f313(f313(f222(x59481),f2(x59481)),f313(f313(f74(x59481),x59482),x59482)))
% 119.46/119.24 [5960]E(f313(f313(f3(a883),f313(a103,x59601)),x59602),f313(a103,f313(f313(f3(a883),x59601),x59602)))+~P1(f313(f313(f222(a883),x59602),x59601))
% 119.46/119.24 [5965]E(f38(a883,f313(f313(f3(a883),x59651),x59652),x59652),f38(a883,x59651,x59652))+~P1(f313(f313(f222(a883),x59652),x59651))
% 119.46/119.24 [6021]E(f313(f313(f232(a883),f313(a96,x60211)),x60212),f313(a96,f313(f313(f232(a1),x60211),x60212)))+~P1(f313(f313(f222(a1),f2(a1)),x60211))
% 119.46/119.24 [6022]E(f313(f313(f232(a883),f313(a96,x60221)),x60222),f313(a96,f313(f313(f232(a1),x60221),x60222)))+~P1(f313(f313(f222(a1),f2(a1)),x60221))
% 119.46/119.24 [6040]P1(f313(f125(x60401),x60402))+P1(f313(f313(f223(a883),f685(x60402,x60401)),f313(f179(f885(x60401)),x60402)))
% 119.46/119.24 [6041]P1(f313(f125(x60411),x60412))+P1(f313(f313(f223(a883),f698(x60412,x60411)),f313(f179(f885(x60411)),x60412)))
% 119.46/119.24 [6053]~P1(f313(f313(f273(a1),x60531),x60532))+P1(f313(f313(f273(a1),f313(f72(a1),x60531)),x60532))
% 119.46/119.24 [6056]~E(x60561,f104(x60562))+~P1(f313(f313(f223(a883),f2(a883)),f313(f179(f885(x60562)),x60561)))
% 119.46/119.24 [6067]E(f132(a883,f127(a883,f313(f288(a883,x60671),x60672))),f313(f313(f3(a883),x60672),f71(a883)))+~P1(f313(f313(f223(a883),x60671),x60672))
% 119.46/119.24 [6070]E(f313(f313(f73(a1),x60701),f313(f91(a1),f313(a103,f551(x60702,x60701)))),x60702)+~P1(f313(f313(f223(a1),x60701),x60702))
% 119.46/119.24 [6077]E(x60771,f2(a883))+E(f313(f313(f74(a883),x60772),f313(f313(f232(a883),x60772),f313(f313(f3(a883),x60771),f71(a883)))),f313(f313(f232(a883),x60772),x60771))
% 119.46/119.24 [6105]E(f313(f313(f74(a883),f313(a96,x61051)),f313(a96,x61052)),f313(a96,f313(f313(f74(a1),x61051),x61052)))+~P1(f313(f313(f222(a1),f2(a1)),x61051))
% 119.46/119.24 [6106]E(f313(f313(f29(a883),f313(a96,x61061)),f313(a96,x61062)),f313(a96,f313(f313(f29(a1),x61061),x61062)))+~P1(f313(f313(f222(a1),f2(a1)),x61061))
% 119.46/119.24 [6121]~P120(x61211)+E(f313(f313(f73(x61211),x61212),x61212),f313(f313(f74(x61211),f313(f313(f73(x61211),f71(x61211)),f71(x61211))),x61212))
% 119.46/119.24 [6144]E(f313(f313(f29(a1),f313(f69(a1),x61441)),f313(f69(a1),x61442)),f313(f69(a1),f313(f313(f29(a1),x61441),x61442)))+~P1(f313(f313(f273(a1),x61442),x61441))
% 119.46/119.24 [6145]E(f313(f313(f3(a1),f313(f91(a1),x61451)),f313(f91(a1),x61452)),f313(f91(a1),f313(f313(f3(a883),x61451),x61452)))+~P1(f313(f313(f222(a883),x61452),x61451))
% 119.46/119.24 [6147]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),x61471),x61472)),f43(x61471,x61472))+~P1(f313(f313(f222(a1),x61472),f2(a1)))
% 119.46/119.24 [6181]E(f167(x61811,x61812),f104(f885(x61811)))+P1(f313(f313(f315(f885(x61811)),f684(x61812,x61811)),f313(f160(f885(x61811)),x61812)))
% 119.46/119.24 [6192]E(f107(a1,f313(f118(a1),x61921),f117(x61922,f313(f313(f73(a1),x61921),f71(a1)))),f117(x61922,x61921))+P1(f313(f313(f223(a1),x61922),x61921))
% 119.46/119.24 [6247]~P1(f313(f313(f273(a883),x62471),x62472))+P1(f313(f313(f273(a883),x62471),f313(f313(f73(a883),x62472),x62471)))
% 119.46/119.24 [6269]E(f313(f313(f139(a1),x62691),f166(f313(f313(f73(a1),x62691),f71(a1)),x62692)),f166(x62691,x62692))+~P1(f313(f313(f222(a1),x62691),x62692))
% 119.46/119.24 [6311]~P1(f313(f313(f223(a883),x63112),x63111))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f3(a883),x63111),x63112)))
% 119.46/119.24 [6347]~P1(f313(f313(f223(a883),x63471),f313(a96,x63472)))+P1(f313(f313(f223(a1),f313(f91(a1),x63471)),x63472))
% 119.46/119.24 [6348]P1(f313(f313(f273(a1),x63481),x63482))+~P1(f313(f313(f273(a1),f313(f72(a1),x63481)),x63482))
% 119.46/119.24 [6378]~P4(x63781)+E(f313(f313(f92(f890(x63781,a881)),f313(f268(x63781),x63782)),f313(f313(f295(x63781),x63782),f178(f890(x63781,a881)))),f313(f287(x63781),x63782))
% 119.46/119.24 [6379]~P1(f313(f313(f222(a1),f2(a1)),x63791))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f232(a1),x63791),x63792)))
% 119.46/119.24 [6380]~P1(f313(f313(f223(a883),f2(a883)),x63801))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f232(a883),x63801),x63802)))
% 119.46/119.24 [6381]~P1(f313(f313(f223(a883),f2(a883)),x63812))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f73(a883),x63811),x63812)))
% 119.46/119.24 [6382]~P1(f313(f313(f223(a883),f2(a883)),x63821))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f73(a883),x63821),x63822)))
% 119.46/119.24 [6412]~E(f313(x64121,f2(a883)),f2(a883))+E(f313(f313(f8(a883,a883),x64121),f289(a883,f313(a103,f2(a883)),x64122)),f313(f313(f8(a883,a883),x64121),f289(a883,f2(a883),x64122)))
% 119.46/119.24 [6481]~P98(x64811)+E(f313(f313(f74(x64811),f313(f313(f73(x64811),f71(x64811)),f71(x64811))),f313(f95(x64811),x64812)),f313(f95(x64811),f313(f313(f73(a1),x64812),x64812)))
% 119.46/119.24 [6502]E(f313(f313(f295(a1),x65021),f289(a1,f313(f313(f73(a1),x65021),f71(a1)),x65022)),f289(a1,x65021,x65022))+P1(f313(f313(f223(a1),x65022),x65021))
% 119.46/119.24 [6503]P1(f313(f313(f223(a883),x65031),f313(a96,x65032)))+~P1(f313(f313(f223(a1),f313(f91(a1),x65031)),x65032))
% 119.46/119.24 [6603]P1(f313(f313(f273(a883),x66031),x66032))+~P1(f313(f313(f273(a883),x66031),f313(f313(f73(a883),x66032),x66031)))
% 119.46/119.24 [6608]E(f313(a96,f313(f313(f232(a1),f313(f95(a1),x66081)),f313(f95(a883),x66082))),f313(f313(f232(a883),f313(f95(a883),x66081)),f313(f95(a883),x66082)))+P1(f313(a183,f313(f95(a1),x66081)))
% 119.46/119.24 [6609]E(f313(a96,f313(f313(f29(a1),f313(f95(a1),x66091)),f313(f95(a1),x66092))),f313(f313(f29(a883),f313(f95(a883),x66091)),f313(f95(a883),x66092)))+P1(f313(a183,f313(f95(a1),x66091)))
% 119.46/119.24 [6675]P1(f313(f313(f223(a883),x66751),x66752))+~P1(f313(f313(f223(a883),f2(a883)),f313(f313(f3(a883),x66752),x66751)))
% 119.46/119.24 [6721]P1(f313(f313(f223(a883),f2(a883)),x67211))+~P1(f313(f313(f223(a883),f2(a883)),f313(f313(f74(a883),x67212),x67211)))
% 119.46/119.24 [6722]P1(f313(f313(f223(a883),f2(a883)),x67221))+~P1(f313(f313(f223(a883),f2(a883)),f313(f313(f74(a883),x67221),x67222)))
% 119.46/119.24 [6740]E(f127(a883,f313(f288(a883,f313(f95(a883),x67401)),f313(f95(a883),x67402))),f104(a883))+P1(f313(f313(f223(a883),f313(f95(a883),x67401)),f313(f95(a883),x67402)))
% 119.46/119.24 [6742]~P1(f313(f313(f222(a1),x67421),f2(a1)))+E(f313(f313(f74(a883),f313(a96,f313(f72(a1),x67421))),f313(a96,f313(f72(a1),x67422))),f313(a96,f313(f313(f74(a1),x67421),x67422)))
% 119.46/119.24 [6804]~E(x68042,f178(f890(x68041,a881)))+P1(f313(f313(f222(f890(x68041,a881)),x68042),f313(f72(f890(x68041,a881)),x68042)))
% 119.46/119.24 [6867]~P98(x68671)+E(f313(f313(f73(x68671),f313(f313(f73(x68671),f2(x68671)),f313(f95(x68671),x68672))),f313(f95(x68671),x68672)),f313(f95(x68671),f313(f313(f73(a1),x68672),x68672)))
% 119.46/119.24 [6875]~P1(f313(f313(f273(a1),f313(f91(a1),x68751)),x68752))+P1(f313(f313(f273(a883),x68751),f313(a96,f313(f69(a1),x68752))))
% 119.46/119.24 [6926]~P1(f313(f313(f223(a1),x69261),x69262))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x69261),f71(a1))),x69262))
% 119.46/119.24 [6927]~P1(f313(f313(f223(a1),x69271),x69272))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x69271),f71(a1))),x69272))
% 119.46/119.24 [6967]P1(f313(f313(f273(a1),f313(f91(a1),x69671)),x69672))+~P1(f313(f313(f273(a883),x69671),f313(a96,f313(f69(a1),x69672))))
% 119.46/119.24 [7002]E(x70021,f2(a883))+~P1(f313(f313(f222(a1),f313(f91(a1),x70022)),f313(f72(a1),f313(f91(a1),x70021))))
% 119.46/119.24 [7003]E(x70031,f2(a883))+~P1(f313(f313(f222(a1),f313(f91(a1),x70031)),f313(f72(a1),f313(f91(a1),x70032))))
% 119.46/119.24 [7105]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),x71051),x71052)),f43(x71051,x71052))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x71051),x71052)))
% 119.46/119.24 [7149]~P25(x71491,x71492)+P36(x71491,f313(f239(f890(f889(x71491,x71491),a881),f890(f889(x71491,x71491),a881)),x71492))
% 119.46/119.24 [7169]~P1(f313(f313(f222(a883),f313(a103,f2(a883))),x71691))+P1(f313(f313(f222(a883),f313(a103,f2(a883))),f313(f313(f232(a883),x71691),x71692)))
% 119.46/119.24 [7348]~P1(f313(f313(f222(a1),x73481),x73482))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x73481),x73481)),f313(f313(f73(a1),x73482),x73482)))
% 119.46/119.24 [7349]~P1(f313(f313(f222(a1),x73491),x73492))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x73491),x73491)),f313(f313(f73(a1),x73492),x73492)))
% 119.46/119.24 [7353]~P1(f313(f313(f223(a1),x73531),x73532))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x73531),x73531)),f313(f313(f73(a1),x73532),x73532)))
% 119.46/119.24 [7354]~P1(f313(f313(f223(a1),x73541),x73542))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x73541),x73541)),f313(f313(f73(a1),x73542),x73542)))
% 119.46/119.24 [7414]~P1(f313(f313(f223(a883),f2(a883)),x74141))+P1(f313(f313(f223(a883),f313(f313(f3(a883),x74141),f313(a103,x74142))),x74141))
% 119.46/119.24 [7451]P1(f313(f313(f222(a883),f313(a103,f2(a883))),x74511))+~P1(f313(f313(f222(a883),f313(a103,f2(a883))),f313(f313(f74(a883),x74512),x74511)))
% 119.46/119.24 [7452]P1(f313(f313(f222(a883),f313(a103,f2(a883))),x74521))+~P1(f313(f313(f222(a883),f313(a103,f2(a883))),f313(f313(f74(a883),x74521),x74522)))
% 119.46/119.24 [7456]P1(f313(f313(f222(a883),f313(f313(f152(a883),x74561),x74562)),f313(f153(a883),x74561)))+~P1(f313(f313(f223(a883),x74562),f313(f179(f885(a883)),x74561)))
% 119.46/119.24 [7493]P1(f313(f313(f223(a1),x74931),x74932))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x74931),f71(a1))),x74932))
% 119.46/119.24 [7502]~P1(f313(f313(f315(a883),x75021),x75022))+P1(f313(f313(f315(a1),f313(f91(a1),x75021)),f313(f296(a883,a1,f91(a1)),x75022)))
% 119.46/119.24 [7535]P1(f313(f54(x75351),f230(f890(x75351,a881))))+~P1(f313(f54(f890(x75352,x75351)),f230(f890(f890(x75352,x75351),a881))))
% 119.46/119.24 [7536]P1(f313(f54(x75361),f230(f890(x75361,a881))))+~P1(f313(f54(f891(x75362,x75361)),f230(f890(f891(x75362,x75361),a881))))
% 119.46/119.24 [7537]P1(f313(f54(x75371),f230(f890(x75371,a881))))+~P1(f313(f54(f891(x75371,x75372)),f230(f890(f891(x75371,x75372),a881))))
% 119.46/119.24 [7578]E(x75781,f178(f890(x75782,a881)))+~P1(f313(f313(f222(f890(x75782,a881)),x75781),f313(f72(f890(x75782,a881)),x75781)))
% 119.46/119.24 [7719]E(f313(f130(f885(x77191),f885(x77191),f122(x77191),f104(x77191)),x77192),f104(x77191))+P1(f313(f313(f315(f885(x77191)),f711(x77192,x77191)),f313(f160(f885(x77191)),x77192)))
% 119.46/119.24 [7720]E(f313(f130(f885(x77201),f885(x77201),f122(x77201),f104(x77201)),x77202),f104(x77201))+P1(f313(f313(f315(f885(x77201)),f716(x77202,x77201)),f313(f160(f885(x77201)),x77202)))
% 119.46/119.24 [7859]E(f167(x78591,f313(f313(f139(f885(x78591)),f104(x78591)),x78592)),f167(x78591,x78592))+~P1(f313(f301(f885(f885(x78591)),f168(x78591)),f313(f313(f139(f885(x78591)),f104(x78591)),x78592)))
% 119.46/119.24 [7956]P1(f313(f313(f222(a1),x79561),x79562))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x79561),x79561)),f313(f313(f73(a1),x79562),x79562)))
% 119.46/119.24 [7957]P1(f313(f313(f222(a1),x79571),x79572))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x79571),x79571)),f313(f313(f73(a1),x79572),x79572)))
% 119.46/119.24 [7961]P1(f313(f313(f223(a1),x79611),x79612))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x79611),x79611)),f313(f313(f73(a1),x79612),x79612)))
% 119.46/119.24 [7962]P1(f313(f313(f223(a1),x79621),x79622))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x79621),x79621)),f313(f313(f73(a1),x79622),x79622)))
% 119.46/119.24 [8056]~P120(x80561)+E(f313(f313(f74(x80561),f313(f313(f73(x80561),f71(x80561)),f71(x80561))),f313(f313(f8(a883,x80561),f91(x80561)),f289(a883,f71(a883),x80562))),f313(f313(f74(x80561),f313(f91(x80561),x80562)),f313(f313(f73(x80561),f313(f91(x80561),x80562)),f71(x80561))))
% 119.46/119.24 [8091]E(f313(f313(f139(a1),f313(f95(a1),x80911)),f166(f313(f313(f73(a1),f313(f95(a1),x80911)),f71(a1)),f313(f95(a1),x80912))),f166(f313(f95(a1),x80911),f313(f95(a1),x80912)))+~P1(f313(f313(f222(a1),f313(f95(a1),x80911)),f313(f95(a1),x80912)))
% 119.46/119.24 [8106]P1(f313(f313(f315(a883),x81061),x81062))+~P1(f313(f313(f315(a1),f313(f91(a1),x81061)),f313(f296(a883,a1,f91(a1)),x81062)))
% 119.46/119.24 [8264]~P1(f313(f54(x82641),x82642))+E(f313(f296(a883,x82641,f541(x82642,x82641)),f313(f250(a883),f313(f313(f9(a883,a883,a881),f223(a883)),f542(x82642,x82641)))),x82642)
% 119.46/119.24 [8542]P56(x85421,x85422)+P1(f313(f313(f315(f889(x85421,x85421)),f313(f313(f240(x85421,x85421),f431(x85422,x85421)),f431(x85422,x85421))),x85422))
% 119.46/119.24 [8543]P37(x85431,x85432)+P1(f313(f313(f315(f889(x85431,x85431)),f313(f313(f240(x85431,x85431),f804(x85432,x85431)),f806(x85432,x85431))),x85432))
% 119.46/119.24 [8544]P37(x85441,x85442)+P1(f313(f313(f315(f889(x85441,x85441)),f313(f313(f240(x85441,x85441),f806(x85442,x85441)),f808(x85442,x85441))),x85442))
% 119.46/119.24 [8545]P38(x85451,x85452)+P1(f313(f313(f315(f889(x85451,x85451)),f313(f313(f240(x85451,x85451),f721(x85452,x85451)),f720(x85452,x85451))),x85452))
% 119.46/119.24 [8546]P38(x85461,x85462)+P1(f313(f313(f315(f889(x85461,x85461)),f313(f313(f240(x85461,x85461),f720(x85462,x85461)),f721(x85462,x85461))),x85462))
% 119.46/119.24 [8547]P54(x85471,x85472)+P1(f313(f313(f315(f889(x85471,x85471)),f313(f313(f240(x85471,x85471),f814(x85472,x85471)),f815(x85472,x85471))),x85472))
% 119.46/119.24 [8685]~P98(x86851)+E(f313(f313(f3(x86851),f71(x86851)),f313(f95(x86851),x86852)),f313(f95(x86851),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f72(a1),x86852))))
% 119.46/119.24 [8794]~P1(f313(f313(f222(f890(a883,a881)),x87941),x87942))+P1(f313(f313(f222(f890(a1,a881)),f313(f296(a883,a1,f91(a1)),x87941)),f313(f296(a883,a1,f91(a1)),x87942)))
% 119.46/119.24 [8795]~P1(f313(f313(f223(f890(a883,a881)),x87951),x87952))+P1(f313(f313(f223(f890(a1,a881)),f313(f296(a883,a1,f91(a1)),x87951)),f313(f296(a883,a1,f91(a1)),x87952)))
% 119.46/119.24 [8825]~P1(f313(f313(f223(a1),x88251),x88252))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x88251),x88251)),a88)),f313(f313(f73(a1),x88252),x88252)))
% 119.46/119.24 [8826]~P1(f313(f313(f223(a1),x88261),x88262))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x88261),x88261)),a88)),f313(f313(f73(a1),x88262),x88262)))
% 119.46/119.24 [8827]~P1(f313(f313(f223(a1),x88271),x88272))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x88271),x88271)),a88)),f313(f313(f73(a1),x88272),x88272)))
% 119.46/119.24 [8828]~P1(f313(f313(f223(a1),x88281),x88282))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x88281),x88281)),a88)),f313(f313(f73(a1),x88282),x88282)))
% 119.46/119.24 [8897]~P1(f313(f313(f315(a883),x88971),f313(f160(a883),x88972)))+P1(f313(f313(f222(a883),x88971),f313(f130(a883,a883,f73(a883),f2(a883)),x88972)))
% 119.46/119.24 [8988]P45(x89881,x89882)+~P1(f313(f313(f315(f889(x89881,x89881)),f313(f313(f240(x89881,x89881),f380(x89882,x89881)),f380(x89882,x89881))),x89882))
% 119.46/119.24 [8989]P37(x89891,x89892)+~P1(f313(f313(f315(f889(x89891,x89891)),f313(f313(f240(x89891,x89891),f804(x89892,x89891)),f808(x89892,x89891))),x89892))
% 119.46/119.24 [8990]P54(x89901,x89902)+~P1(f313(f313(f315(f889(x89901,x89901)),f313(f313(f240(x89901,x89901),f815(x89902,x89901)),f814(x89902,x89901))),x89902))
% 119.46/119.24 [9129]~P1(f313(f313(f222(f890(a1,a881)),f313(f296(a883,a1,f91(a1)),x91291)),f313(f296(a883,a1,f91(a1)),x91292)))+P1(f313(f313(f222(f890(a883,a881)),x91291),x91292))
% 119.46/119.24 [9130]~P1(f313(f313(f223(f890(a1,a881)),f313(f296(a883,a1,f91(a1)),x91301)),f313(f296(a883,a1,f91(a1)),x91302)))+P1(f313(f313(f223(f890(a883,a881)),x91301),x91302))
% 119.46/119.24 [9214]P1(f313(f313(f223(a1),x92141),x92142))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x92141),x92141)),a88)),f313(f313(f73(a1),x92142),x92142)))
% 119.46/119.24 [9215]P1(f313(f313(f223(a1),x92151),x92152))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x92151),x92151)),a88)),f313(f313(f73(a1),x92152),x92152)))
% 119.46/119.24 [9216]P1(f313(f313(f223(a1),x92161),x92162))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x92161),x92161)),a88)),f313(f313(f73(a1),x92162),x92162)))
% 119.46/119.24 [9217]P1(f313(f313(f223(a1),x92171),x92172))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x92171),x92171)),a88)),f313(f313(f73(a1),x92172),x92172)))
% 119.46/119.24 [10114]~P109(x101141)+E(f107(f885(x101141),f313(f118(f885(x101141)),f104(x101141)),f313(f313(f313(f84(f884(f885(x101141))),f313(f313(f223(a1),f2(a1)),x101142)),f313(f109(f889(x101141,f885(x101141)),f885(x101141),f119(x101141,f885(x101141),f120(x101141,f313(f313(f3(a1),x101142),f71(a1))),f120(f885(x101141),f313(f313(f3(a1),x101142),f71(a1))))),f313(f245(x101141,f885(x101141),f884(f885(x101141))),f313(f313(f10(f890(f885(x101141),f885(x101141)),f890(f885(x101141),f884(f885(x101141))),x101141),f313(f10(f885(x101141),f884(f885(x101141)),f885(x101141)),f118(f885(x101141)))),f139(x101141))))),f106(f885(x101141)))),f120(f885(x101141),x101142))
% 119.46/119.24 [10135]~P1(f313(f54(x101351),x101352))+E(f313(f179(f885(x101351)),f83(f885(x101351),f313(f313(f20(f885(x101351),a881,a881),f313(f313(f10(a881,f890(a881,a881),f885(x101351)),a311),f313(f313(f9(f885(x101351),f890(x101351,a881),a881),f313(f313(f10(f890(x101351,a881),f890(f890(x101351,a881),a881),f885(x101351)),a310),f160(x101351))),x101352))),f125(x101351)))),f204(x101351,x101352))
% 119.46/119.24 [6066]E(f313(f313(f73(a883),f313(f313(f3(a883),x60661),x60662)),x60662),x60661)+~P1(f313(f313(f222(a883),x60662),x60661))
% 119.46/119.24 [6140]E(f313(f313(f29(a883),f313(f313(f74(a883),x61401),x61402)),x61402),x61401)+~P1(f313(f313(f223(a883),f2(a883)),x61402))
% 119.46/119.24 [6141]E(f313(f313(f29(a883),f313(f313(f74(a883),x61411),x61412)),x61411),x61412)+~P1(f313(f313(f223(a883),f2(a883)),x61411))
% 119.46/119.24 [6146]~P79(x61461)+E(f313(f313(f8(a883,x61461),f313(f152(x61461),x61462)),f313(f288(a883,f2(a883)),f313(f179(f885(x61461)),x61462))),f313(f153(x61461),x61462))
% 119.46/119.24 [6261]E(f38(a883,f313(a103,f313(f313(f74(a883),x62611),x62612)),x62611),f71(a883))+~P1(f313(f313(f223(a883),f71(a883)),x62611))
% 119.46/119.24 [6267]E(f313(a103,f313(f313(f73(a883),f313(f95(a883),x62671)),x62672)),f313(f313(f73(a883),f71(a883)),x62672))+~P1(f313(a183,f313(f95(a1),x62671)))
% 119.46/119.24 [6296]E(f313(a96,f313(f313(f232(a1),f313(f95(a1),x62961)),x62962)),f313(f313(f232(a883),f313(f95(a883),x62961)),x62962))+P1(f313(a183,f313(f95(a1),x62961)))
% 119.46/119.24 [6557]E(f313(f313(f3(a883),x65571),f313(f95(a883),f313(f313(f73(a1),x65572),a88))),f313(f313(f3(a883),f313(a103,x65571)),f313(f95(a883),x65572)))+~P1(f313(f313(f223(a1),a76),x65572))
% 119.46/119.24 [6644]E(x66441,f2(a883))+E(f313(a103,f313(f313(f73(a883),f313(f313(f3(a883),x66441),f71(a883))),x66442)),f313(f313(f73(a883),x66441),x66442))
% 119.46/119.24 [6690]E(x66901,f2(a1))+P1(f313(f313(f223(a1),f2(a1)),f313(f313(f232(a1),f313(f69(a1),x66901)),x66902)))
% 119.46/119.24 [6706]~E(x67062,f2(a883))+P1(f313(f313(f223(a1),f2(a1)),f313(f313(f232(a1),f313(f69(a1),x67061)),x67062)))
% 119.46/119.24 [6746]E(x67461,f2(a883))+E(f313(f313(f73(a883),x67462),f313(f313(f74(a883),f313(f313(f3(a883),x67461),f71(a883))),x67462)),f313(f313(f74(a883),x67461),x67462))
% 119.46/119.24 [6797]~P1(f313(f313(f222(a1),x67971),x67972))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x67971),a88)),x67972))
% 119.46/119.24 [6930]E(f313(f313(f139(a883),x69301),f127(a883,f313(f288(a883,f313(a103,x69301)),x69302))),f127(a883,f313(f288(a883,x69301),x69302)))+~P1(f313(f313(f223(a883),x69301),x69302))
% 119.46/119.24 [6931]E(f313(f313(f139(a883),x69311),f127(a883,f313(f288(a883,f313(a103,x69311)),x69312))),f127(a883,f313(f288(a883,x69311),x69312)))+~P1(f313(f313(f223(a883),x69311),x69312))
% 119.46/119.24 [7099]~P1(f313(f313(f273(a1),x70991),f313(f91(a1),x70992)))+P1(f313(f313(f273(a883),f313(a96,f313(f69(a1),x70991))),x70992))
% 119.46/119.24 [7140]E(x71401,x71402)+~E(f313(f313(f3(a1),f313(f313(f73(a1),x71401),x71401)),a88),f313(f313(f3(a1),f313(f313(f73(a1),x71402),x71402)),a88))
% 119.46/119.24 [7143]E(x71431,f104(x71432))+E(f254(x71432,f313(f313(f142(x71432,f889(a90,x71432)),f313(f240(a90,x71432),f71(a90))),x71431)),f261(x71432,x71431))
% 119.46/119.24 [7383]P1(f313(f313(f222(a1),x73831),x73832))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x73831),a88)),x73832))
% 119.46/119.24 [7509]P1(f313(f313(f273(a1),x75091),f313(f91(a1),x75092)))+~P1(f313(f313(f273(a883),f313(a96,f313(f69(a1),x75091))),x75092))
% 119.46/119.24 [7861]~P1(f313(f313(f223(a883),x78611),x78612))+P1(f313(f313(f315(f889(a883,a883)),f313(f313(f240(a883,a883),x78611),x78612)),a228))
% 119.46/119.24 [8083]~P1(f313(f313(f223(a90),f2(a90)),x80831))+P1(f313(f313(f223(a90),f313(f239(a90,f889(a90,a90)),f313(f255(x80831),x80832))),x80831))
% 119.46/119.24 [8345]~P37(x83451,x83452)+P37(x83451,f313(f313(f92(f890(f889(x83451,x83451),a881)),x83452),f293(x83451,f178(f890(f889(x83451,x83451),a881)))))
% 119.46/119.24 [8346]~P38(x83461,x83462)+P38(x83461,f313(f313(f92(f890(f889(x83461,x83461),a881)),x83462),f293(x83461,f178(f890(f889(x83461,x83461),a881)))))
% 119.46/119.24 [8392]~P90(x83921)+P1(f313(f313(f222(x83921),f313(f69(x83921),f313(f153(x83921),x83922))),f313(f153(x83921),f313(f313(f142(x83921,x83921),f69(x83921)),x83922))))
% 119.46/119.24 [8417]P1(f313(f313(f223(a883),x84171),x84172))+~P1(f313(f313(f315(f889(a883,a883)),f313(f313(f240(a883,a883),x84171),x84172)),a228))
% 119.46/119.24 [8568]E(f313(f313(f240(x85681,x85681),f621(x85682,x85681)),f621(x85682,x85681)),x85682)+~P1(f313(f313(f315(f889(x85681,x85681)),x85682),f293(x85681,f178(f890(f889(x85681,x85681),a881)))))
% 119.46/119.24 [8611]E(f313(f288(a883,x86111),f313(f313(f73(a883),x86111),f313(f28(a883),x86112))),x86112)+~P1(f313(f313(f222(f890(a883,a881)),x86112),f313(f288(a883,x86111),f313(f313(f73(a883),x86111),f313(f28(a883),x86112)))))
% 119.46/119.24 [8632]E(f313(f313(f139(a883),f313(f95(a883),x86321)),f127(a883,f313(f288(a883,f313(a103,f313(f95(a883),x86321))),f313(f95(a883),x86322)))),f127(a883,f313(f288(a883,f313(f95(a883),x86321)),f313(f95(a883),x86322))))+~P1(f313(f313(f223(a883),f313(f95(a883),x86321)),f313(f95(a883),x86322)))
% 119.46/119.24 [8819]P38(x88191,x88192)+~P38(x88191,f313(f313(f92(f890(f889(x88191,x88191),a881)),x88192),f293(x88191,f178(f890(f889(x88191,x88191),a881)))))
% 119.46/119.24 [8944]E(f313(f313(f29(a1),f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x89441),x89441)),a88))),f313(f95(a1),f313(f313(f73(a1),x89442),x89442))),f313(f313(f29(a1),f313(f95(a1),x89441)),f313(f95(a1),x89442)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x89442)))
% 119.46/119.24 [9032]~P37(x90321,x90322)+P1(f313(f313(f222(f890(f889(x90321,x90321),a881)),f313(f313(f275(x90321,x90321,x90321),x90322),x90322)),x90322))
% 119.46/119.24 [9059]E(f165(f885(x90591),f313(f313(f10(a881,a881,f885(x90591)),a308),f313(f313(f9(f885(x90591),f885(x90591),a881),a310),f104(x90591))),x90592),f167(x90591,f167(x90591,x90592)))+~P13(a883,f313(f156(a883),f313(f313(f142(f885(x90591),a883),f179(f885(x90591))),x90592)))
% 119.46/119.24 [9062]E(f313(f313(f29(a1),f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x90621),x90621)),a88))),f313(f95(a1),f313(f313(f73(a1),x90622),x90622))),f313(f313(f29(a1),f313(f313(f73(a1),f313(f95(a1),x90621)),f71(a1))),f313(f95(a1),x90622)))+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x90622)))
% 119.46/119.24 [9907]P1(f313(a183,x99072))+E(f313(f313(f79(a1,a883),f313(f313(f3(a1),x99071),x99072)),f313(f313(f20(a1,a883,a883),f313(f313(f9(a1,a883,f890(a883,a883)),f313(f313(f10(a881,f890(a883,f890(a883,a883)),a1),f84(a883)),a183)),f2(a883))),a96)),f313(f313(f3(a883),f313(a96,x99071)),f313(a96,x99072)))
% 119.46/119.24 [9914]E(f313(f313(f79(a1,a883),f313(f95(a1),f313(f313(f73(a1),x99141),f313(f72(a1),x99142)))),f313(f313(f20(a1,a883,a883),f313(f313(f9(a1,a883,f890(a883,a883)),f313(f313(f10(a881,f890(a883,f890(a883,a883)),a1),f84(a883)),a183)),f2(a883))),a96)),f313(f313(f3(a883),f313(f95(a883),x99141)),f313(f95(a883),x99142)))+P1(f313(f313(f223(a1),x99142),a76))
% 119.46/119.24 [9915]~P25(x99151,x99152)+P1(f313(f313(f222(f890(f889(x99151,x99151),a881)),f313(f313(f275(x99151,x99151,x99151),f313(f239(f890(f889(x99151,x99151),a881),f890(f889(x99151,x99151),a881)),x99152)),f313(f244(f890(f889(x99151,x99151),a881),f890(f889(x99151,x99151),a881)),x99152))),f313(f239(f890(f889(x99151,x99151),a881),f890(f889(x99151,x99151),a881)),x99152)))
% 119.46/119.24 [9970]~E(f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,f890(a883,a881),a881),f315(a883)),x99701))),f313(f313(f9(a883,a883,a881),f223(a883)),f313(a103,x99702))))),f2(a883))+~P1(f313(f313(f315(a883),f2(a883)),x99701))
% 119.46/119.24 [9981]E(f285(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99811,x99812),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99812),x99811))
% 119.46/119.24 [9987]E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99871,x99872),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x99871),x99872))
% 119.46/119.24 [9988]E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99881,x99882),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x99881),x99882))
% 119.46/119.24 [9989]E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99891,x99892),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x99891),x99892))
% 119.46/119.24 [9990]E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99901,x99902),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x99901),x99902))
% 119.46/119.24 [9991]E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99911,x99912),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99912),x99911))
% 119.46/119.24 [9992]E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99921,x99922),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99922),x99921))
% 119.46/119.24 [9993]E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99931,x99932),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99932),x99931))
% 119.46/119.24 [9994]E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99941,x99942),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99942),x99941))
% 119.46/119.24 [9995]E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99951,x99952),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99952),x99951))
% 119.46/119.24 [9996]E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99961,x99962),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x99962),x99961))
% 119.46/119.24 [10039]E(f38(a1,f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x100391),x100391)),a88)),f313(f95(a1),f313(f313(f73(a1),x100392),x100392))),f313(f313(f73(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f38(a1,f313(f95(a1),x100391),f313(f95(a1),x100392)))),f71(a1)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x100392)))
% 119.46/119.24 [10048]E(f38(a1,f313(f95(a1),f313(f313(f3(a1),f313(f313(f73(a1),x100481),x100481)),a88)),f313(f95(a1),f313(f313(f73(a1),x100482),x100482))),f313(f313(f3(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f38(a1,f313(f313(f73(a1),f313(f95(a1),x100481)),f71(a1)),f313(f95(a1),x100482)))),f71(a1)))+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x100482)))
% 119.46/119.24 [10104]~P5(x101041)+E(f30(x101041,f313(f250(x101041),f313(f313(f10(f890(x101041,a881),a881,x101041),f81(x101041)),f313(f313(f10(f890(x101041,a881),f890(x101041,a881),x101041),f313(f20(x101041,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101041),a316),f313(f313(f9(x101041,f890(x101041,a881),a881),f315(x101041)),x101042)))),f222(x101041))))),f31(x101041,x101042))
% 119.46/119.24 [10128]~P36(x101281,x101282)+P62(x101281,f313(f313(f9(x101281,f890(f889(x101281,x101281),a881),f890(x101281,a881)),f313(f313(f10(f890(x101281,f890(f890(f889(x101281,x101281),a881),a881)),f890(f890(f889(x101281,x101281),a881),f890(x101281,a881)),x101281),f9(x101281,f890(f889(x101281,x101281),a881),a881)),f313(f313(f10(f890(x101281,f889(x101281,x101281)),f890(x101281,f890(f890(f889(x101281,x101281),a881),a881)),x101281),f313(f10(f889(x101281,x101281),f890(f890(f889(x101281,x101281),a881),a881),x101281),f315(f889(x101281,x101281)))),f240(x101281,x101281)))),x101282))
% 119.46/119.24 [10129]~P8(x101291,f230(f890(x101291,a881)),x101292)+P7(x101291,f313(f313(f9(x101291,f890(f889(x101291,x101291),a881),f890(x101291,a881)),f313(f313(f10(f890(x101291,f890(f890(f889(x101291,x101291),a881),a881)),f890(f890(f889(x101291,x101291),a881),f890(x101291,a881)),x101291),f9(x101291,f890(f889(x101291,x101291),a881),a881)),f313(f313(f10(f890(x101291,f889(x101291,x101291)),f890(x101291,f890(f890(f889(x101291,x101291),a881),a881)),x101291),f313(f10(f889(x101291,x101291),f890(f890(f889(x101291,x101291),a881),a881),x101291),f315(f889(x101291,x101291)))),f240(x101291,x101291)))),x101292))
% 119.46/119.24 [10167]P36(x101671,x101672)+~P62(x101671,f313(f313(f9(x101671,f890(f889(x101671,x101671),a881),f890(x101671,a881)),f313(f313(f10(f890(x101671,f890(f890(f889(x101671,x101671),a881),a881)),f890(f890(f889(x101671,x101671),a881),f890(x101671,a881)),x101671),f9(x101671,f890(f889(x101671,x101671),a881),a881)),f313(f313(f10(f890(x101671,f889(x101671,x101671)),f890(x101671,f890(f890(f889(x101671,x101671),a881),a881)),x101671),f313(f10(f889(x101671,x101671),f890(f890(f889(x101671,x101671),a881),a881),x101671),f315(f889(x101671,x101671)))),f240(x101671,x101671)))),x101672))
% 119.46/119.24 [10168]P8(x101681,f230(f890(x101681,a881)),x101682)+~P7(x101681,f313(f313(f9(x101681,f890(f889(x101681,x101681),a881),f890(x101681,a881)),f313(f313(f10(f890(x101681,f890(f890(f889(x101681,x101681),a881),a881)),f890(f890(f889(x101681,x101681),a881),f890(x101681,a881)),x101681),f9(x101681,f890(f889(x101681,x101681),a881),a881)),f313(f313(f10(f890(x101681,f889(x101681,x101681)),f890(x101681,f890(f890(f889(x101681,x101681),a881),a881)),x101681),f313(f10(f889(x101681,x101681),f890(f890(f889(x101681,x101681),a881),a881),x101681),f315(f889(x101681,x101681)))),f240(x101681,x101681)))),x101682))
% 119.46/119.24 [7328]E(f313(f313(f73(a883),f313(f95(a883),f313(f313(f3(a1),x73281),a88))),x73282),f313(a103,f313(f313(f73(a883),f313(f95(a883),x73281)),x73282)))+P1(f313(a183,f313(f95(a1),x73281)))
% 119.46/119.24 [7779]~P98(x77791)+E(f313(f313(f73(x77791),f313(f313(f73(x77791),f71(x77791)),f313(f95(x77791),x77792))),f313(f95(x77791),x77792)),f313(f95(x77791),f313(f313(f3(a1),f313(f313(f73(a1),x77792),x77792)),a88)))
% 119.46/119.24 [8418]~P1(f313(f313(f222(a1),x84181),x84182))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x84181),x84181)),f313(f313(f3(a1),f313(f313(f73(a1),x84182),x84182)),a88)))
% 119.46/119.24 [8419]~P1(f313(f313(f222(a1),x84191),x84192))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x84191),x84191)),f313(f313(f3(a1),f313(f313(f73(a1),x84192),x84192)),a88)))
% 119.46/119.24 [8420]~P1(f313(f313(f222(a1),x84201),x84202))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x84201),x84201)),f313(f313(f3(a1),f313(f313(f73(a1),x84202),x84202)),a88)))
% 119.46/119.24 [8421]~P1(f313(f313(f222(a1),x84211),x84212))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x84211),x84211)),f313(f313(f3(a1),f313(f313(f73(a1),x84212),x84212)),a88)))
% 119.46/119.24 [8829]P1(f313(f313(f222(a1),x88291),x88292))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x88291),x88291)),f313(f313(f3(a1),f313(f313(f73(a1),x88292),x88292)),a88)))
% 119.46/119.24 [8830]P1(f313(f313(f222(a1),x88301),x88302))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x88301),x88301)),f313(f313(f3(a1),f313(f313(f73(a1),x88302),x88302)),a88)))
% 119.46/119.24 [8831]P1(f313(f313(f222(a1),x88311),x88312))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x88311),x88311)),f313(f313(f3(a1),f313(f313(f73(a1),x88312),x88312)),a88)))
% 119.46/119.24 [8832]P1(f313(f313(f222(a1),x88321),x88322))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),x88321),x88321)),f313(f313(f3(a1),f313(f313(f73(a1),x88322),x88322)),a88)))
% 119.46/119.24 [9117]~P1(f313(f313(f222(a1),x91171),x91172))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91171),x91171)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x91172),x91172)),a88)))
% 119.46/119.24 [9118]~P1(f313(f313(f222(a1),x91181),x91182))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91181),x91181)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x91182),x91182)),a88)))
% 119.46/119.24 [9119]~P1(f313(f313(f223(a1),x91191),x91192))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91191),x91191)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x91192),x91192)),a88)))
% 119.46/119.24 [9120]~P1(f313(f313(f223(a1),x91201),x91202))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x91201),x91201)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x91202),x91202)),a88)))
% 119.46/119.24 [9386]P1(f313(f313(f222(a1),x93861),x93862))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x93861),x93861)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x93862),x93862)),a88)))
% 119.46/119.24 [9387]P1(f313(f313(f222(a1),x93871),x93872))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),x93871),x93871)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x93872),x93872)),a88)))
% 119.46/119.24 [9388]P1(f313(f313(f223(a1),x93881),x93882))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x93881),x93881)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x93882),x93882)),a88)))
% 119.46/119.24 [9389]P1(f313(f313(f223(a1),x93891),x93892))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),x93891),x93891)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),x93892),x93892)),a88)))
% 119.46/119.24 [9421]~P1(f313(f54(x94211),x94212))+P1(f313(f54(f890(x94211,a881)),f313(f250(f890(x94211,a881)),f313(f313(f9(f890(x94211,a881),f890(x94211,a881),a881),f222(f890(x94211,a881))),x94212))))
% 119.46/119.24 [9471]~E(f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),x94711),f178(f890(f889(a883,a883),a881)))),f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),x94712),f178(f890(f889(a883,a883),a881)))))+P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),x94711),x94712)),a100))
% 119.46/119.24 [9562]E(f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),x95621),f178(f890(f889(a883,a883),a881)))),f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),x95622),f178(f890(f889(a883,a883),a881)))))+~P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),x95621),x95622)),a100))
% 119.46/119.24 [9595]P1(f313(f313(f222(a1),f2(a1)),f654(x95951,x95952)))+E(f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x95951)),f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x95952)))
% 119.46/119.24 [10113]~P5(x101131)+E(f31(x101131,f313(f250(x101131),f313(f313(f10(f890(x101131,a881),a881,x101131),f81(x101131)),f313(f313(f10(f890(x101131,a881),f890(x101131,a881),x101131),f313(f20(x101131,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101131),a316),f313(f313(f9(x101131,f890(x101131,a881),a881),f315(x101131)),x101132)))),f313(f9(x101131,x101131,a881),f222(x101131)))))),f30(x101131,x101132))
% 119.46/119.24 [10134]P1(f313(f313(f315(a883),f2(a883)),x101341))+E(f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),a883),f315(a883)),a103)),x101341))),f313(f313(f9(a883,a883,a881),f223(a883)),x101342)))),f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,f890(a883,a881),a881),f315(a883)),x101341))),f313(f313(f9(a883,a883,a881),f223(a883)),f313(a103,x101342))))))
% 119.46/119.24 [10184]P1(f313(f313(f273(a883),x101841),x101842))+~P1(f313(f313(f315(a883),x101842),f281(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x101841)))
% 119.46/119.24 [10185]P1(f313(f313(f273(a883),x101851),x101852))+~P1(f313(f313(f315(a883),x101851),f284(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x101852)))
% 119.46/119.24 [10186]~P1(f313(f313(f273(a883),x101861),x101862))+~P1(f313(f313(f315(a883),x101862),f284(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x101861)))
% 119.46/119.24 [10187]~P1(f313(f313(f273(a883),x101871),x101872))+~P1(f313(f313(f315(a883),x101871),f281(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x101872)))
% 119.46/119.24 [7645]~P98(x76451)+E(f313(f313(f74(x76451),x76452),f313(f95(x76451),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),x76452)
% 119.46/119.24 [7910]~P98(x79101)+E(f313(f313(f73(x79101),f313(f95(x79101),x79102)),f71(x79101)),f313(f95(x79101),f313(f313(f73(a1),x79102),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))
% 119.46/119.24 [8054]P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x80542)))+E(f313(f313(f232(a1),x80541),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x80542),x80542)),a88))),f71(a1))
% 119.46/119.24 [9447]~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x94472)))+E(f313(f313(f232(a1),x94471),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x94472),x94472)),a88))),f313(f313(f79(a1,a1),f313(f313(f232(a1),x94471),f313(f95(a883),x94472))),f313(f313(f20(a1,a1,a1),f313(f313(f10(a1,f890(a1,a1),a1),f74(a1)),f313(f74(a1),x94471))),f7(a1))))
% 119.46/119.24 [9826]~P1(f313(f313(f222(a883),f665(x98262,x98261)),f313(x98261,f665(x98262,x98261))))+P1(f313(f54(a883),f313(f250(a883),f313(f313(f9(a883,a883,a881),f313(f313(f10(a883,f890(a883,a881),a883),f222(a883)),x98261)),x98262))))
% 119.46/119.24 [9960]~P1(f313(f313(f222(a883),f313(f95(a883),x99601)),f313(a103,x99602)))+P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x99601),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),f222(a883)),a96)),x99602))))
% 119.46/119.24 [9961]~P1(f313(f313(f223(a883),f313(f95(a883),x99611)),f313(a103,x99612)))+P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x99611),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),f223(a883)),a96)),x99612))))
% 119.46/119.24 [10023]P1(f313(f313(f222(a883),f313(f95(a883),x100231)),f313(a103,x100232)))+~P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x100231),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),f222(a883)),a96)),x100232))))
% 119.46/119.24 [10024]P1(f313(f313(f223(a883),f313(f95(a883),x100241)),f313(a103,x100242)))+~P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x100241),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),f223(a883)),a96)),x100242))))
% 119.46/119.24 [10054]~P1(f313(f313(f222(a883),f313(a103,x100542)),f313(f95(a883),x100541)))+P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x100541),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f10(a883,a881,a1),f313(f222(a883),x100542)),a96)))))
% 119.46/119.24 [10055]~P1(f313(f313(f223(a883),f313(a103,x100552)),f313(f95(a883),x100551)))+P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x100551),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f10(a883,a881,a1),f313(f223(a883),x100552)),a96)))))
% 119.46/119.24 [10102]P1(f313(f313(f222(a883),f313(a103,x101021)),f313(f95(a883),x101022)))+~P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x101022),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f10(a883,a881,a1),f313(f222(a883),x101021)),a96)))))
% 119.46/119.24 [10103]P1(f313(f313(f223(a883),f313(a103,x101031)),f313(f95(a883),x101032)))+~P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x101032),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f10(a883,a881,a1),f313(f223(a883),x101031)),a96)))))
% 119.46/119.24 [10176]~P1(f313(f313(f315(a883),f2(a883)),x101761))+E(f313(a103,f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,f890(a883,a881),a881),f313(f313(f10(a883,f890(f890(a883,a881),a881),a883),f315(a883)),a103)),x101761))),f313(f313(f9(a883,a883,a881),f223(a883)),x101762))))),f313(f28(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),f313(f313(f9(a883,f890(a883,a881),a881),f315(a883)),x101761))),f313(f313(f9(a883,a883,a881),f223(a883)),f313(a103,x101762))))))
% 119.46/119.24 [8595]~P98(x85951)+E(f313(f313(f74(x85951),f313(f95(x85951),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),x85952),x85952)
% 119.46/119.24 [8654]~P98(x86541)+E(f313(f313(f73(x86541),f71(x86541)),f313(f95(x86541),x86542)),f313(f95(x86541),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),x86542)))
% 119.46/119.24 [8710]~P98(x87101)+E(f313(f313(f3(x87101),f313(f95(x87101),x87102)),f71(x87101)),f313(f95(x87101),f313(f313(f73(a1),x87102),f313(f72(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [8847]~P1(f313(f313(f223(a883),f313(f95(a883),a76)),x88472))+E(f313(f313(f3(a883),x88471),f313(f313(f3(a883),x88472),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f3(a883),f313(a103,x88471)),x88472))
% 119.46/119.24 [9489]~P120(x94891)+E(f313(f313(f74(x94891),x94892),x94892),f313(f313(f232(x94891),x94892),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [9490]~P80(x94901)+E(f313(f313(f232(x94901),x94902),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f74(x94901),x94902),x94902))
% 119.46/119.24 [9492]~P98(x94921)+E(f313(f313(f74(x94921),x94922),f313(f95(x94921),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f73(x94921),x94922),x94922))
% 119.46/119.24 [9737]~P144(x97371)+E(f313(f313(f232(x97371),f313(f72(x97371),x97372)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f232(x97371),x97372),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [9738]~P115(x97381)+E(f313(f313(f232(x97381),f313(f69(x97381),x97382)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f232(x97381),x97382),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [9734]~P98(x97341)+E(f313(f313(f74(x97341),f313(f95(x97341),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x97342),f313(f313(f73(x97341),x97342),x97342))
% 119.46/119.24 [9863]~P115(x98631)+E(f313(f69(x98631),f313(f313(f232(x98631),x98632),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x98631),x98632),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [9922]~P115(x99221)+P1(f313(f313(f222(x99221),f2(x99221)),f313(f313(f232(x99221),x99222),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.24 [10093]~E(f313(a103,x100932),f313(f95(a883),x100931))+P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x100931),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),a310),a96)),x100932)))))
% 119.46/119.24 [10094]~E(f313(f95(a883),x100941),f313(a103,x100942))+P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x100941),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),a310),a96)),x100942)))))
% 119.46/119.24 [10137]E(f313(a103,x101371),f313(f95(a883),x101372))+~P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x101372),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),a310),a96)),x101371)))))
% 119.46/119.24 [10138]E(f313(f95(a883),x101381),f313(a103,x101382))+~P1(f313(f313(f79(a1,a881),f313(f95(a1),f313(f313(f73(a1),x101381),a88))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a316),f313(f313(f10(a881,a881,a1),a308),a183))),f313(f313(f9(a1,a883,a881),f313(f313(f10(a883,f890(a883,a881),a1),a310),a96)),x101382)))))
% 119.46/119.24 [10177]~P15(x101771,x101772)+P1(f313(f313(f315(f890(x101771,a881)),f821(x101772,x101771)),f313(f313(f10(f890(x101771,a881),a881,f890(x101771,a881)),f80(x101771)),f313(f313(f10(f890(x101771,a881),f890(x101771,a881),f890(x101771,a881)),f313(f20(x101771,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101771),a311),f313(f313(f20(x101771,x101771,a881),x101772),f7(x101771))))),f313(f313(f9(f890(x101771,a881),f890(x101771,f890(x101771,a881)),f890(x101771,a881)),f313(f313(f10(f890(f890(x101771,a881),a881),f890(f890(x101771,f890(x101771,a881)),f890(x101771,a881)),f890(x101771,a881)),f10(f890(x101771,a881),a881,x101771)),a310)),x101772)))))
% 119.46/119.24 [9920]~P98(x99201)+E(f313(f313(f232(x99201),f313(f95(x99201),a88)),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x99202)),f71(x99201))
% 119.46/119.24 [9921]~P144(x99211)+E(f313(f313(f232(x99211),f313(f72(x99211),f71(x99211))),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x99212)),f71(x99211))
% 119.46/119.24 [9924]~P80(x99241)+E(f313(f313(f232(x99241),x99242),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),a88))),f313(f313(f74(x99241),f313(f313(f74(x99241),x99242),x99242)),x99242))
% 119.46/119.24 [10117]~P1(f313(f313(f222(a1),f2(a1)),x101172))+E(f38(a1,f313(f313(f73(a1),f71(a1)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101171)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101172)),f313(f313(f73(a1),f71(a1)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f38(a1,x101171,x101172))))
% 119.46/119.24 [10140]~P1(f313(f313(f222(a1),f2(a1)),x101402))+E(f313(f313(f29(a1),f313(f313(f73(a1),f71(a1)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101401))),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101402)),f313(f313(f29(a1),x101401),x101402))
% 119.46/119.24 [10142]~P1(f313(f313(f222(a1),x101422),f2(a1)))+E(f313(f313(f29(a1),f313(f313(f73(a1),f71(a1)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101421))),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101422)),f313(f313(f29(a1),f313(f313(f73(a1),x101421),f71(a1))),x101422))
% 119.46/119.24 [10143]~P1(f313(f313(f222(a1),x101432),f2(a1)))+E(f38(a1,f313(f313(f73(a1),f71(a1)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101431)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101432)),f313(f313(f3(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f38(a1,f313(f313(f73(a1),x101431),f71(a1)),x101432))),f71(a1)))
% 119.46/119.24 [10014]~P98(x100141)+E(f313(f313(f232(x100141),f313(f95(x100141),a88)),f313(a103,f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100142))),f313(f95(x100141),a88))
% 119.46/119.24 [10016]~P144(x100161)+E(f313(f313(f232(x100161),f313(f72(x100161),f71(x100161))),f313(a103,f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100162))),f313(f72(x100161),f71(x100161)))
% 119.46/119.24 [4905]P37(x49051,x49052)+~P8(x49051,x49053,x49052)
% 119.46/119.24 [4906]P37(x49061,x49062)+~P8(x49061,x49063,x49062)
% 119.46/119.24 [4907]P54(x49071,x49072)+~P8(x49071,x49073,x49072)
% 119.46/119.24 [4908]P54(x49081,x49082)+~P8(x49081,x49083,x49082)
% 119.46/119.24 [5085]~P8(x50851,x50852,x50853)+P55(x50851,x50852,x50853)
% 119.46/119.24 [5086]~P8(x50861,x50862,x50863)+P55(x50861,x50862,x50863)
% 119.46/119.24 [8121]~E(x81212,x81213)+P33(x81211,x81211,a310,x81212,x81213)
% 119.46/119.24 [8666]E(x86661,x86662)+~P33(x86663,x86663,a310,x86661,x86662)
% 119.46/119.24 [4708]E(f157(x47081,x47082,x47083),f104(x47081))+~E(x47082,f2(a883))
% 119.46/119.24 [4709]E(f157(x47091,x47092,x47093),f104(x47091))+~E(x47092,f2(a883))
% 119.46/119.24 [4876]~E(f157(x48762,x48761,x48763),f104(x48762))+E(x48761,f2(a883))
% 119.46/119.24 [4877]~E(f157(x48772,x48771,x48773),f104(x48772))+E(x48771,f2(a883))
% 119.46/119.24 [5091]~P36(x50911,x50913)+P36(x50911,f307(x50911,x50912,x50913))
% 119.46/119.24 [5204]~P29(x52041,x52042,x52043)+P30(a1,x52041,f166(x52042,x52043))
% 119.46/119.24 [5253]P26(x52531,x52532,x52533)+~P26(x52531,f313(a103,x52532),x52533)
% 119.46/119.24 [5274]P29(x52741,x52742,x52743)+~P30(a1,x52741,f166(x52742,x52743))
% 119.46/119.24 [5346]~P8(x53461,x53462,x53463)+P8(f885(x53461),f149(x53461,x53462),f146(x53461,x53463))
% 119.46/119.24 [5347]~P55(x53471,x53472,x53473)+P55(f885(x53471),f149(x53471,x53472),f146(x53471,x53473))
% 119.46/119.24 [5458]P57(x54581,x54582,x54583)+~E(f583(x54583,x54582,x54581),f584(x54583,x54582,x54581))
% 119.46/119.24 [5459]P58(x54591,x54592,x54593)+~E(f603(x54593,x54592,x54591),f604(x54593,x54592,x54591))
% 119.46/119.24 [6455]P27(x64551,x64552,x64553)+~P26(x64551,f649(x64553,x64552,x64551),f757(x64553,x64552,x64551))
% 119.46/119.24 [4664]~E(f313(f156(x46642),x46641),x46643)+E(x46641,f313(f156(x46642),x46643))
% 119.46/119.24 [4665]~E(x46652,f313(f156(x46651),x46653))+E(f313(f156(x46651),x46652),x46653)
% 119.46/119.24 [4715]E(x47151,x47152)+~E(f313(f156(x47153),x47151),f313(f156(x47153),x47152))
% 119.46/119.24 [4932]~P7(x49323,x49321)+P1(f313(f313(x49321,x49322),x49322))
% 119.46/119.24 [4933]~P50(x49333,x49331)+P1(f313(f313(x49331,x49332),x49332))
% 119.46/119.24 [4934]~P62(x49341,x49342)+P1(f313(f301(x49341,x49342),x49343))
% 119.46/119.24 [4935]~P62(x49351,x49352)+P1(f313(f301(x49351,x49352),x49353))
% 119.46/119.24 [5001]~P36(x50011,x50012)+P36(f885(x50011),f313(f131(x50011,x50012),x50013))
% 119.46/119.24 [5006]~P1(f313(x50062,x50063))+~E(f313(f250(x50061),x50062),f178(f890(x50061,a881)))
% 119.46/119.24 [5007]~P1(f313(x50072,x50073))+~E(f178(f890(x50071,a881)),f313(f250(x50071),x50072))
% 119.46/119.24 [5019]E(x50191,f2(a883))+E(f132(x50192,f157(x50192,x50191,x50193)),x50193)
% 119.46/119.24 [5035]~P1(f313(x50351,x50353))+P1(f313(x50351,f83(x50352,x50351)))
% 119.46/119.24 [5036]~P1(f313(x50361,x50363))+P1(f313(x50361,f83(x50362,x50361)))
% 119.46/119.24 [5037]~P1(f313(x50371,x50373))+P1(f313(x50371,f83(x50372,x50371)))
% 119.46/119.24 [5038]~P1(f313(x50381,x50383))+P1(f313(x50381,f83(x50382,x50381)))
% 119.46/119.24 [5039]~P1(f313(x50391,x50393))+P1(f313(x50391,f754(x50391,x50392)))
% 119.46/119.24 [5052]E(x50521,f2(a883))+E(f313(f129(x50522),f157(x50522,x50521,x50523)),x50523)
% 119.46/119.24 [5166]~E(x51662,x51663)+P1(f313(f313(f315(x51661),x51662),f313(a310,x51663)))
% 119.46/119.24 [5181]~E(x51812,f2(a883))+E(f313(f160(x51811),f157(x51811,x51812,x51813)),f178(f890(x51811,a881)))
% 119.46/119.24 [5226]E(f313(f156(x52261),x52262),f313(f313(f139(x52261),x52263),f104(x52261)))+~E(x52262,f313(f313(f139(x52261),x52263),f104(x52261)))
% 119.46/119.24 [5227]~E(x52273,f313(f313(f139(x52271),x52272),f104(x52271)))+E(f313(f313(f139(x52271),x52272),f104(x52271)),f313(f156(x52271),x52273))
% 119.46/119.24 [5270]~P32(x52701,x52702,x52703)+P32(x52701,x52702,f313(f156(x52701),x52703))
% 119.46/119.24 [5271]~P30(x52711,x52712,x52713)+P30(x52711,x52712,f313(f156(x52711),x52713))
% 119.46/119.24 [5275]E(f313(f28(x52751),f339(x52752,x52753,x52751)),x52752)+~E(f313(f28(x52751),x52753),f313(a103,x52752))
% 119.46/119.24 [5281]~P36(x52811,x52813)+P1(f313(f313(f315(x52811),x52812),f302(x52811,x52813)))
% 119.46/119.24 [5282]~P36(x52821,x52823)+P1(f313(f313(f315(x52821),x52822),f302(x52821,x52823)))
% 119.46/119.24 [5286]~E(f313(f156(x52862),x52861),f313(f313(f139(x52862),x52863),f104(x52862)))+E(x52861,f313(f313(f139(x52862),x52863),f104(x52862)))
% 119.46/119.24 [5287]~E(f313(f313(f139(x52872),x52873),f104(x52872)),f313(f156(x52872),x52871))+E(x52871,f313(f313(f139(x52872),x52873),f104(x52872)))
% 119.46/119.24 [5311]E(f78(f889(a883,a883),f41(x53111,x53112)),x53113)+~P1(f313(f41(x53111,x53112),x53113))
% 119.46/119.24 [5350]P32(x53501,x53502,x53503)+~P32(x53501,x53502,f313(f156(x53501),x53503))
% 119.46/119.24 [5351]P30(x53511,x53512,x53513)+~P30(x53511,x53512,f313(f156(x53511),x53513))
% 119.46/119.24 [5411]~E(x54112,f104(x54111))+P1(f313(f313(f315(f885(x54111)),x54112),f149(x54111,x54113)))
% 119.46/119.24 [5421]~P55(x54211,x54212,x54213)+P55(x54211,x54212,f313(f272(x54211,x54211),x54213))
% 119.46/119.24 [5422]~P58(x54221,x54222,x54223)+P58(x54221,x54222,f313(f272(x54221,x54221),x54223))
% 119.46/119.24 [5439]~P66(x54391)+E(f38(x54391,f38(x54391,x54392,x54393),x54393),f38(x54391,x54392,x54393))
% 119.46/119.24 [5541]E(x55411,x55412)+~P1(f313(f313(f315(x55413),x55411),f313(a310,x55412)))
% 119.46/119.24 [5588]~P2(x55881)+E(f180(x55881,x55882,f2(a883),x55883),x55883)
% 119.46/119.24 [5610]P55(x56101,x56102,x56103)+~P55(x56101,x56102,f313(f272(x56101,x56101),x56103))
% 119.46/119.24 [5611]P58(x56111,x56112,x56113)+~P58(x56111,x56112,f313(f272(x56111,x56111),x56113))
% 119.46/119.24 [5615]~P4(x56152)+E(f138(x56151,x56152,x56153,f104(x56151)),f104(x56151))
% 119.46/119.24 [5628]E(f158(x56281,x56282,f140(x56281,x56283)),f140(x56281,f158(x56281,x56282,x56283)))+~P1(f313(f125(x56281),x56283))
% 119.46/119.24 [5730]E(f313(f124(x57301,x57302),x57303),f104(x57301))+P1(f313(x57302,f706(x57303,x57302,x57301)))
% 119.46/119.24 [5798]E(f61(x57981,x57982,x57983),x57982)+P1(f313(x57983,f755(x57982,x57981,x57983)))
% 119.46/119.24 [5891]~P1(f313(f125(x58911),x58912))+P1(f313(f125(x58911),f164(x58911,x58912,x58913)))
% 119.46/119.24 [5892]~P1(f313(f125(x58921),x58923))+P1(f313(f125(x58921),f158(x58921,x58922,x58923)))
% 119.46/119.24 [5893]~P1(f313(f125(x58931),x58933))+P1(f313(f125(x58931),f165(x58931,x58932,x58933)))
% 119.46/119.24 [5894]~P1(f313(f125(x58941),x58943))+P1(f313(f125(x58941),f128(x58941,x58942,x58943)))
% 119.46/119.24 [5895]~P150(x58951,x58953,x58952)+P1(f313(x58951,f38(a1,x58952,x58953)))
% 119.46/119.24 [5912]~P32(x59123,x59121,x59122)+P1(f313(x59121,f769(x59122,x59121,x59123)))
% 119.46/119.24 [5913]~P34(x59133,x59131,x59132)+P1(f313(x59131,f772(x59132,x59131,x59133)))
% 119.46/119.24 [5914]~P34(x59143,x59141,x59142)+P1(f313(x59141,f784(x59142,x59141,x59143)))
% 119.46/119.24 [5915]~P32(x59153,x59151,x59152)+P1(f313(x59151,f796(x59151,x59152,x59153)))
% 119.46/119.24 [5916]~P32(x59163,x59161,x59162)+P1(f313(x59161,f802(x59162,x59161,x59163)))
% 119.46/119.24 [5936]E(f313(f124(x59361,x59362),x59363),f165(x59361,x59362,x59363))+P1(f313(x59362,f736(x59363,x59362,x59361)))
% 119.46/119.24 [5979]~P1(f313(f125(x59791),x59793))+P1(f313(f125(f885(x59791)),f48(x59791,x59792,x59793)))
% 119.46/119.24 [6016]~P3(x60161)+E(f313(f313(f93(f890(x60161,a881)),f313(f268(x60161),x60162)),f289(x60161,x60162,x60163)),f178(f890(x60161,a881)))
% 119.46/119.24 [6017]~P3(x60171)+E(f313(f313(f93(f890(x60171,a881)),f313(f287(x60171),x60172)),f291(x60171,x60172,x60173)),f178(f890(x60171,a881)))
% 119.46/119.24 [6018]~P3(x60181)+E(f313(f313(f93(f890(x60181,a881)),f313(f287(x60181),x60182)),f292(x60181,x60182,x60183)),f178(f890(x60181,a881)))
% 119.46/119.24 [6256]E(f313(f124(x62561,x62562),x62563),x62563)+~P1(f313(x62562,f707(x62563,x62562,x62561)))
% 119.46/119.24 [6258]E(f313(f313(f295(x62581),f398(x62582,x62583,x62581)),f339(x62582,x62583,x62581)),x62583)+~E(f313(f28(x62581),x62583),f313(a103,x62582))
% 119.46/119.24 [6274]P150(x62741,x62742,x62743)+~P1(f313(x62741,f38(a1,x62743,x62742)))
% 119.46/119.24 [6328]P30(x63281,x63282,x63283)+~P1(f313(x63282,f773(x63283,x63282,x63281)))
% 119.46/119.24 [6329]P30(x63291,x63292,x63293)+~P1(f313(x63292,f782(x63292,x63293,x63291)))
% 119.46/119.24 [6330]P30(x63301,x63302,x63303)+~P1(f313(x63302,f783(x63303,x63302,x63301)))
% 119.46/119.24 [6331]P29(x63311,x63312,x63313)+~P1(f313(x63311,f797(x63313,x63312,x63311)))
% 119.46/119.24 [6333]E(f165(x63331,x63332,x63333),x63333)+~P1(f313(x63332,f732(x63333,x63332,x63331)))
% 119.46/119.24 [6423]~P1(f313(x64232,f830(x64233,x64232,x64231)))+P1(f313(f236(x64231,x64232),x64233))
% 119.46/119.24 [6424]~P1(f313(x64242,f708(x64243,x64242,x64241)))+P1(f313(f148(x64241,x64242),x64243))
% 119.46/119.24 [6691]~P1(f313(f301(x66911,x66912),f836(x66913,x66912,x66911)))+P1(f313(f301(x66911,x66912),x66913))
% 119.46/119.24 [6692]~P1(f313(f301(x66921,x66922),f840(x66923,x66922,x66921)))+P1(f313(f301(x66921,x66922),x66923))
% 119.46/119.24 [7329]~P66(x73291)+E(f313(f313(f73(x73291),f313(f313(f74(x73291),x73292),f313(f313(f29(x73291),x73293),x73292))),f38(x73291,x73293,x73292)),x73293)
% 119.46/119.24 [7360]P29(x73601,x73602,x73603)+P1(f313(f313(f315(a1),f797(x73603,x73602,x73601)),f289(a1,x73602,x73603)))
% 119.46/119.24 [7800]E(f313(f313(f240(x78001,x78001),f476(x78002,x78003,x78001)),f476(x78002,x78003,x78001)),x78003)+~P1(f313(f313(f315(f889(x78001,x78001)),x78003),f251(x78001,x78002)))
% 119.46/119.24 [7918]~P1(f313(f313(f315(x79181),f490(x79183,x79182,x79181)),f302(x79181,x79183)))+P1(f313(f313(f315(x79181),x79182),f302(x79181,x79183)))
% 119.46/119.24 [7919]~P1(f313(f313(f315(x79191),f588(x79193,x79192,x79191)),f302(x79191,x79193)))+P1(f313(f313(f315(x79191),x79192),f302(x79191,x79193)))
% 119.46/119.24 [7920]~P1(f313(f313(f315(x79201),f589(x79203,x79202,x79201)),f302(x79201,x79203)))+P1(f313(f313(f315(x79201),x79202),f302(x79201,x79203)))
% 119.46/119.24 [8013]P32(a1,x80131,f166(x80132,x80133))+P29(f313(f66(a881,a881,a1,a308),x80131),x80132,x80133)
% 119.46/119.24 [8101]~P66(x81011)+E(f313(f313(f73(x81011),f313(f313(f74(x81011),f313(f313(f29(x81011),x81012),x81013)),x81013)),f38(x81011,x81012,x81013)),x81012)
% 119.46/119.24 [8102]~P66(x81021)+E(f313(f313(f73(x81021),f313(f313(f74(x81021),f313(f313(f29(x81021),x81022),x81023)),x81023)),f38(x81021,x81022,x81023)),x81022)
% 119.46/119.24 [8146]~E(f313(f28(x81461),x81462),f313(a103,x81463))+~P1(f313(f313(f315(x81461),f398(x81463,x81462,x81461)),f339(x81463,x81462,x81461)))
% 119.46/119.24 [8587]~P32(a1,x85871,f166(x85872,x85873))+~P29(f313(f66(a881,a881,a1,a308),x85871),x85872,x85873)
% 119.46/119.24 [8758]P1(f313(f313(f222(f890(f889(x87581,x87581),a881)),f293(x87581,x87582)),f293(x87581,x87583)))+~P1(f313(f313(f222(f890(f889(x87581,x87581),a881)),x87582),f293(x87581,x87583)))
% 119.46/119.24 [9028]E(x90281,f104(x90282))+~P1(f313(f313(f315(f889(f885(x90282),f885(x90282))),f313(f313(f240(f885(x90282),f885(x90282)),x90281),f104(x90282))),f146(x90282,x90283)))
% 119.46/119.24 [9053]E(x90531,f104(x90532))+~P1(f313(f313(f315(f889(f885(x90532),f885(x90532))),f313(f313(f240(f885(x90532),f885(x90532)),f104(x90532)),x90531)),f146(x90532,x90533)))
% 119.46/119.24 [9178]E(f313(f313(f139(x91781),f702(x91782,x91783,x91781)),f703(x91782,x91783,x91781)),x91783)+~P1(f313(f313(f315(f889(f885(x91781),f885(x91781))),f313(f313(f240(f885(x91781),f885(x91781)),f104(x91781)),x91783)),f135(x91781,x91782)))
% 119.46/119.24 [9414]~P129(x94141)+~P1(f313(f313(f223(x94141),f313(f313(f73(x94141),f313(f313(f74(x94141),x94142),x94142)),f313(f313(f74(x94141),x94143),x94143))),f2(x94141)))
% 119.46/119.24 [9463]P1(f313(f54(x94631),x94632))+~P1(f313(f313(f315(f889(f890(x94631,a881),f890(x94631,a881))),f313(f313(f240(f890(x94631,a881),f890(x94631,a881)),x94633),x94632)),f300(x94631)))
% 119.46/119.24 [9761]~P46(x97611,x97612,x97613)+P1(f313(f313(f222(a1),f313(f313(f66(f889(a1,a1),a1,x97611,f239(a1,a1)),f202(x97611)),f220(x97611,x97612,f217(x97611,x97613)))),f2(a1)))
% 119.46/119.24 [9762]~P47(x97621,x97622,x97623)+P1(f313(f313(f223(a1),f313(f313(f66(f889(a1,a1),a1,x97621,f239(a1,a1)),f202(x97621)),f220(x97621,x97622,f217(x97621,x97623)))),f2(a1)))
% 119.46/119.24 [9891]P47(x98911,x98912,x98913)+~P1(f313(f313(f223(a1),f313(f313(f66(f889(a1,a1),a1,x98911,f239(a1,a1)),f202(x98911)),f220(x98911,x98912,f217(x98911,x98913)))),f2(a1)))
% 119.46/119.24 [9892]P46(x98921,x98922,x98923)+~P1(f313(f313(f222(a1),f313(f313(f66(f889(a1,a1),a1,x98921,f239(a1,a1)),f202(x98921)),f220(x98921,x98922,f217(x98921,x98923)))),f2(a1)))
% 119.46/119.24 [10235]~P115(x102351)+~P1(f313(f313(f223(x102351),f313(f313(f73(x102351),f313(f313(f232(x102351),x102352),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x102351),x102353),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f2(x102351)))
% 119.46/119.24 [4692]~E(x46923,f104(x46921))+E(f313(f313(f122(x46921),x46922),x46923),x46922)
% 119.46/119.24 [4693]~E(x46932,f104(x46931))+E(f313(f313(f122(x46931),x46932),x46933),x46933)
% 119.46/119.24 [4694]~E(x46943,f104(x46941))+E(f313(f313(f122(x46941),x46942),x46943),x46942)
% 119.46/119.24 [4695]~E(x46952,f104(x46951))+E(f313(f313(f122(x46951),x46952),x46953),x46953)
% 119.46/119.24 [4701]~E(x47012,f2(a883))+E(f313(f313(f163(x47011),x47012),x47013),f104(x47011))
% 119.46/119.24 [4710]~E(x47103,f104(x47101))+E(f313(f313(f163(x47101),x47102),x47103),f104(x47101))
% 119.46/119.24 [4749]~E(x47491,x47493)+E(x47491,f313(f313(f122(x47492),f104(x47492)),x47493))
% 119.46/119.24 [4839]~P110(x48392)+E(f313(f178(f890(x48391,x48392)),x48393),f178(x48392))
% 119.46/119.24 [4840]~P110(x48402)+E(f313(f178(f890(x48401,x48402)),x48403),f178(x48402))
% 119.46/119.24 [4841]~P118(x48412)+E(f313(f230(f890(x48411,x48412)),x48413),f230(x48412))
% 119.46/119.24 [4857]E(x48571,f104(x48572))+~E(f313(f313(f122(x48572),x48571),x48573),x48573)
% 119.46/119.24 [4858]E(x48581,f104(x48582))+~E(f313(f313(f122(x48582),x48583),x48581),x48583)
% 119.46/119.24 [4859]E(x48591,f104(x48592))+~E(f313(f313(f122(x48592),x48593),x48591),x48593)
% 119.46/119.24 [4860]E(x48601,f104(x48602))+~E(f313(f313(f122(x48602),x48601),x48603),x48603)
% 119.46/119.24 [4866]E(x48661,f104(x48662))+~E(f313(f313(f122(x48662),x48663),x48661),f104(x48662))
% 119.46/119.24 [4867]E(x48671,f104(x48672))+~E(f313(f313(f122(x48672),x48671),x48673),f104(x48672))
% 119.46/119.24 [4868]E(x48681,f104(x48682))+~E(f313(f313(f122(x48682),x48683),x48681),f104(x48682))
% 119.46/119.24 [4869]E(x48691,f104(x48692))+~E(f313(f313(f122(x48692),x48691),x48693),f104(x48692))
% 119.46/119.24 [4898]~E(x48982,f2(a883))+E(f313(f313(f74(a883),x48981),x48982),f313(f313(f74(a883),x48983),x48982))
% 119.46/119.24 [4899]~E(x48991,f2(a883))+E(f313(f313(f74(a883),x48991),x48992),f313(f313(f74(a883),x48991),x48993))
% 119.46/119.24 [4900]~E(x49001,f2(a883))+E(f313(f313(f74(a883),x49001),x49002),f313(f313(f74(a883),x49001),x49003))
% 119.46/119.24 [4959]~P120(x49591)+E(f313(f313(f74(x49591),x49592),x49593),f313(f313(f74(x49591),x49593),x49592))
% 119.46/119.24 [4960]~P120(x49601)+E(f313(f313(f73(x49601),x49602),x49603),f313(f313(f73(x49601),x49603),x49602))
% 119.46/119.24 [4961]~P4(x49611)+E(f313(f313(f227(x49611),x49612),x49613),f313(f313(f227(x49611),x49613),x49612))
% 119.46/119.24 [4962]~P4(x49621)+E(f313(f313(f227(x49621),x49622),x49623),f313(f313(f227(x49621),x49623),x49622))
% 119.46/119.24 [4963]~P4(x49631)+E(f313(f313(f177(x49631),x49632),x49633),f313(f313(f177(x49631),x49633),x49632))
% 119.46/119.24 [4964]~P4(x49641)+E(f313(f313(f177(x49641),x49642),x49643),f313(f313(f177(x49641),x49643),x49642))
% 119.46/119.24 [4965]~P102(x49651)+E(f313(f313(f92(x49651),x49652),x49653),f313(f313(f92(x49651),x49653),x49652))
% 119.46/119.24 [4966]~P102(x49661)+E(f313(f313(f92(x49661),x49662),x49663),f313(f313(f92(x49661),x49663),x49662))
% 119.46/119.24 [4967]~P103(x49671)+E(f313(f313(f92(x49671),x49672),x49673),f313(f313(f92(x49671),x49673),x49672))
% 119.46/119.24 [4968]~P103(x49681)+E(f313(f313(f93(x49681),x49682),x49683),f313(f313(f93(x49681),x49683),x49682))
% 119.46/119.24 [4969]~P108(x49691)+E(f313(f313(f93(x49691),x49692),x49693),f313(f313(f93(x49691),x49693),x49692))
% 119.46/119.24 [4970]~P108(x49701)+E(f313(f313(f93(x49701),x49702),x49703),f313(f313(f93(x49701),x49703),x49702))
% 119.46/119.24 [5033]E(f38(a883,x50331,x50332),f2(a883))+~E(x50331,f313(f313(f74(a883),x50332),x50333))
% 119.46/119.24 [5034]E(f38(a1,x50341,x50342),f2(a1))+~E(x50341,f313(f313(f74(a1),x50342),x50343))
% 119.46/119.24 [5103]E(x51031,x51032)+~E(f313(f313(f73(a883),x51033),x51031),f313(f313(f73(a883),x51033),x51032))
% 119.46/119.24 [5104]E(x51041,x51042)+~E(f313(f313(f73(a883),x51041),x51043),f313(f313(f73(a883),x51042),x51043))
% 119.46/119.24 [5117]~P121(x51171)+E(f313(f313(f73(x51171),x51172),f313(f72(x51171),x51173)),f313(f313(f3(x51171),x51172),x51173))
% 119.46/119.24 [5118]~P81(x51181)+E(f313(f313(f73(x51181),x51182),f313(f72(x51181),x51183)),f313(f313(f3(x51181),x51182),x51183))
% 119.46/119.24 [5119]~P65(x51191)+E(f313(f313(f73(x51191),x51192),f313(f72(x51191),x51193)),f313(f313(f3(x51191),x51192),x51193))
% 119.46/119.24 [5120]~P100(x51201)+E(f313(f313(f93(x51201),x51202),f313(f72(x51201),x51203)),f313(f313(f3(x51201),x51202),x51203))
% 119.46/119.24 [5121]~P81(x51211)+E(f313(f313(f3(x51211),x51212),f313(f72(x51211),x51213)),f313(f313(f73(x51211),x51212),x51213))
% 119.46/119.24 [5159]~P1(f313(x51593,x51592))+P1(f313(f313(f315(x51591),x51592),x51593))
% 119.46/119.24 [5160]~P79(x51602)+E(f313(f313(f8(x51601,x51602),x51603),f178(f890(x51601,a881))),f2(x51602))
% 119.46/119.24 [5161]~P79(x51612)+E(f313(f313(f8(x51611,x51612),x51613),f178(f890(x51611,a881))),f2(x51612))
% 119.46/119.24 [5162]~P75(x51622)+E(f313(f313(f11(x51621,x51622),x51623),f178(f890(x51621,a881))),f71(x51622))
% 119.46/119.24 [5163]~P75(x51632)+E(f313(f313(f11(x51631,x51632),x51633),f178(f890(x51631,a881))),f71(x51632))
% 119.46/119.24 [5216]~E(x52162,f313(f313(f73(a883),x52161),x52163))+P1(f313(f313(f222(a883),x52161),x52162))
% 119.46/119.24 [5219]~E(x52192,f178(f890(x52191,a881)))+E(f313(f313(f53(x52191),x52192),x52193),f178(f890(f890(x52191,a881),a881)))
% 119.46/119.24 [5220]~E(x52202,f178(f890(x52201,a881)))+E(f178(f890(f890(x52201,a881),a881)),f313(f313(f53(x52201),x52202),x52203))
% 119.46/119.24 [5290]~E(f313(f270(x52902,x52903),x52901),f178(f890(x52903,a881)))+E(x52901,f178(f890(f889(x52902,x52903),a881)))
% 119.46/119.24 [5291]~E(f313(f252(x52912,x52913),x52911),f178(f890(x52912,a881)))+E(x52911,f178(f890(f889(x52912,x52913),a881)))
% 119.46/119.24 [5324]E(f313(f270(x53241,x53242),x53243),f178(f890(x53242,a881)))+~E(x53243,f178(f890(f889(x53241,x53242),a881)))
% 119.46/119.24 [5325]E(f313(f252(x53251,x53252),x53253),f178(f890(x53251,a881)))+~E(x53253,f178(f890(f889(x53251,x53252),a881)))
% 119.46/119.24 [5328]E(f260(x53281,x53282,x53283),f313(f313(f3(a90),x53282),x53283))+P1(f313(f313(f223(a90),x53282),x53283))
% 119.46/119.24 [5344]P1(f313(x53441,x53442))+~P1(f313(f313(f315(x53443),x53442),x53441))
% 119.46/119.24 [5383]E(x53831,x53832)+~E(f313(f72(f890(x53833,a881)),x53831),f313(f72(f890(x53833,a881)),x53832))
% 119.46/119.24 [5390]~E(x53901,f178(f890(x53902,a881)))+~P1(f313(f313(f315(x53902),x53903),x53901))
% 119.46/119.24 [5391]~E(x53911,f178(f890(x53912,a881)))+~P1(f313(f313(f315(x53912),x53913),x53911))
% 119.46/119.24 [5392]~E(x53921,f178(f890(x53922,a881)))+~P1(f313(f313(f315(x53922),x53923),x53921))
% 119.46/119.24 [5423]~E(x54232,f313(f313(f73(a1),x54231),f313(f91(a1),x54233)))+P1(f313(f313(f222(a1),x54231),x54232))
% 119.46/119.24 [5437]E(f313(f313(f295(x54371),x54372),x54373),x54373)+~P1(f313(f313(f315(x54371),x54372),x54373))
% 119.46/119.24 [5448]E(x54481,f178(f890(x54482,a881)))+~E(f313(f313(f53(x54482),x54481),x54483),f178(f890(f890(x54482,a881),a881)))
% 119.46/119.24 [5449]E(x54491,f178(f890(x54492,a881)))+~E(f178(f890(f890(x54492,a881),a881)),f313(f313(f53(x54492),x54491),x54493))
% 119.46/119.24 [5455]~P145(x54551)+E(f313(f313(f74(x54551),f313(f72(x54551),x54552)),f313(f72(x54551),x54553)),f313(f313(f74(x54551),x54552),x54553))
% 119.46/119.24 [5457]~P70(x54571)+E(f313(f313(f277(x54571),f313(f72(x54571),x54572)),f313(f72(x54571),x54573)),f313(f313(f277(x54571),x54572),x54573))
% 119.46/119.24 [5487]~P1(f313(x54873,x54872))+P1(f313(f313(f315(x54871),x54872),f313(f250(x54871),x54873)))
% 119.46/119.24 [5488]~P1(f313(x54883,x54882))+P1(f313(f313(f315(x54881),x54882),f313(f250(x54881),x54883)))
% 119.46/119.24 [5514]E(x55141,f2(a883))+E(f313(f160(x55142),f157(x55142,x55141,x55143)),f313(f313(f295(x55142),x55143),f178(f890(x55142,a881))))
% 119.46/119.24 [5515]E(x55151,f2(a883))+E(f313(f160(x55152),f157(x55152,x55151,x55153)),f313(f313(f295(x55152),x55153),f178(f890(x55152,a881))))
% 119.46/119.24 [5534]E(f158(x55341,x55342,x55343),x55343)+P1(f313(f313(f315(x55341),x55342),f313(f160(x55341),x55343)))
% 119.46/119.24 [5619]~P1(f313(f125(x56191),x56193))+P1(f313(f125(x56191),f313(f124(x56191,x56192),x56193)))
% 119.46/119.24 [5664]~P66(x56641)+E(f313(f313(f29(x56641),f38(x56641,x56642,x56643)),x56643),f2(x56641))
% 119.46/119.24 [5683]E(f164(x56831,f313(f313(f139(x56831),x56832),f104(x56831)),x56833),f104(x56831))+P1(f313(f313(f315(a883),f2(a883)),x56833))
% 119.46/119.24 [5689]E(x56891,f2(a883))+E(f313(f159(x56892),f157(x56892,x56891,x56893)),f157(x56892,f313(f313(f3(a883),x56891),f71(a883)),x56893))
% 119.46/119.24 [5739]E(f313(f313(f139(x57391),x57392),x57393),f128(x57391,x57392,x57393))+P1(f313(f313(f315(x57391),x57392),f313(f160(x57391),x57393)))
% 119.46/119.24 [5740]E(f313(f313(f139(x57401),x57402),x57403),f128(x57401,x57402,x57403))+P1(f313(f313(f315(x57401),x57402),f313(f160(x57401),x57403)))
% 119.46/119.24 [5749]E(x57491,x57492)+~E(f313(f313(f74(a883),f313(a103,x57493)),x57491),f313(f313(f74(a883),f313(a103,x57493)),x57492))
% 119.46/119.24 [5750]~E(x57502,f313(f313(f73(a1),x57501),f313(f91(a1),f313(a103,x57503))))+P1(f313(f313(f223(a1),x57501),x57502))
% 119.46/119.24 [5871]~E(x58713,f104(x58711))+E(f313(f313(f313(f171(f885(x58711),f885(x58711)),x58712),f155(x58711)),x58713),f104(x58711))
% 119.46/119.24 [5873]P1(f313(x58731,x58732))+~P1(f313(f313(f315(x58733),x58732),f313(f250(x58733),x58731)))
% 119.46/119.24 [5874]P1(f313(x58741,x58742))+~P1(f313(f313(f315(x58743),x58742),f313(f250(x58743),x58741)))
% 119.46/119.24 [5875]P1(f313(x58751,x58752))+~P1(f313(f313(f315(x58753),x58752),f313(f250(x58753),x58751)))
% 119.46/119.24 [5907]E(x59071,x59072)+~E(f313(f313(f295(x59073),x59071),f178(f890(x59073,a881))),f313(f313(f295(x59073),x59072),f178(f890(x59073,a881))))
% 119.46/119.24 [5923]~P3(x59231)+E(f313(f313(f93(f890(x59231,a881)),f313(f268(x59231),x59232)),f313(f288(x59231,x59232),x59233)),f178(f890(x59231,a881)))
% 119.46/119.24 [5961]E(f128(x59611,x59612,x59613),x59613)+~P1(f313(f313(f315(x59611),x59612),f313(f160(x59611),x59613)))
% 119.46/119.24 [5962]E(f128(x59621,x59622,x59623),x59623)+~P1(f313(f313(f315(x59621),x59622),f313(f160(x59621),x59623)))
% 119.46/119.24 [5988]~P87(x59881)+E(f313(f296(x59881,x59881,f72(x59881)),f313(f288(x59881,x59882),x59883)),f291(x59881,f313(f72(x59881),x59883),f313(f72(x59881),x59882)))
% 119.46/119.24 [5993]P1(f313(f313(f315(x59931),x59932),f313(f160(x59931),x59933)))+~P1(f313(f313(f160(x59931),x59933),x59932))
% 119.46/119.24 [5994]P1(f313(f313(f315(x59941),x59942),f313(f160(x59941),x59943)))+~P1(f313(f313(f160(x59941),x59943),x59942))
% 119.46/119.24 [5999]E(f313(f179(f885(x59991)),f158(x59991,x59992,x59993)),f313(f179(f885(x59991)),x59993))+P1(f313(f313(f315(x59991),x59992),f313(f160(x59991),x59993)))
% 119.46/119.24 [6019]P1(f313(x60191,x60192))+~P1(f313(f313(f315(x60193),x60192),f178(f890(x60193,a881))))
% 119.46/119.24 [6020]~P1(f313(x60202,x60203))+P1(f313(f313(f315(x60201),f754(x60202,x60201)),f230(f890(x60201,a881))))
% 119.46/119.24 [6055]~P3(x60551)+E(f313(f313(f93(f890(x60551,a881)),f313(f288(x60551,x60552),x60553)),f313(f269(x60551),x60553)),f178(f890(x60551,a881)))
% 119.46/119.24 [6075]~P87(x60751)+E(f313(f296(x60751,x60751,f72(x60751)),f289(x60751,x60752,x60753)),f289(x60751,f313(f72(x60751),x60753),f313(f72(x60751),x60752)))
% 119.46/119.24 [6076]~P87(x60761)+E(f313(f296(x60761,x60761,f72(x60761)),f292(x60761,x60762,x60763)),f292(x60761,f313(f72(x60761),x60763),f313(f72(x60761),x60762)))
% 119.46/119.24 [6081]~P1(f313(x60811,x60812))+~P1(f313(f313(f315(x60813),x60812),f178(f890(x60813,a881))))
% 119.46/119.24 [6137]~P1(f313(f313(f315(x61371),x61373),f313(f160(x61371),x61372)))+P1(f313(f313(f160(x61371),x61372),x61373))
% 119.46/119.24 [6138]~P1(f313(f313(f315(x61381),x61383),f313(f160(x61381),x61382)))+P1(f313(f313(f160(x61381),x61382),x61383))
% 119.46/119.24 [6142]E(f164(x61421,f313(f313(f139(x61421),x61422),f104(x61421)),x61423),f313(f313(f139(x61421),x61422),f104(x61421)))+~P1(f313(f313(f315(a883),f2(a883)),x61423))
% 119.46/119.24 [6150]~P87(x61501)+E(f313(f296(x61501,x61501,f72(x61501)),f291(x61501,x61502,x61503)),f313(f288(x61501,f313(f72(x61501),x61503)),f313(f72(x61501),x61502)))
% 119.46/119.24 [6173]~P67(x61731)+E(f38(x61731,f313(f72(x61731),f38(x61731,x61732,x61733)),x61733),f38(x61731,f313(f72(x61731),x61732),x61733))
% 119.46/119.24 [6272]~P1(f313(f54(f889(x62722,x62721)),x62723))+P1(f313(f54(x62721),f313(f270(x62722,x62721),x62723)))
% 119.46/119.24 [6273]~P1(f313(f54(f889(x62731,x62732)),x62733))+P1(f313(f54(x62731),f313(f252(x62731,x62732),x62733)))
% 119.46/119.24 [6278]~P3(x62781)+E(f313(f313(f93(f890(x62781,a881)),f289(x62781,x62782,x62783)),f313(f290(x62781),x62783)),f178(f890(x62781,a881)))
% 119.46/119.24 [6279]~P3(x62791)+E(f313(f313(f93(f890(x62791,a881)),f291(x62791,x62792,x62793)),f313(f290(x62791),x62793)),f178(f890(x62791,a881)))
% 119.46/119.24 [6280]~P3(x62801)+E(f313(f313(f93(f890(x62801,a881)),f292(x62801,x62802,x62803)),f313(f269(x62801),x62803)),f178(f890(x62801,a881)))
% 119.46/119.24 [6358]E(f313(f313(f152(x63581),x63582),f648(x63582,x63583,x63581)),x63583)+~P1(f313(f313(f315(x63581),x63583),f313(f160(x63581),x63582)))
% 119.46/119.24 [6512]E(x65121,f104(x65122))+~E(f313(f313(f313(f171(f885(x65122),f885(x65122)),x65123),f155(x65122)),x65121),f104(x65122))
% 119.46/119.24 [6623]~P1(f313(f54(f889(x66232,x66231)),x66233))+P1(f313(f54(f889(x66231,x66232)),f313(f272(x66232,x66231),x66233)))
% 119.46/119.24 [6648]E(x66481,x66482)+~E(f276(a883,f273(a883),x66483,x66481),f313(f313(f295(a883),x66482),f178(f890(a883,a881))))
% 119.46/119.24 [6649]E(x66491,x66492)+~E(f276(a883,f273(a883),x66491,x66492),f313(f313(f295(a883),x66493),f178(f890(a883,a881))))
% 119.46/119.24 [6789]P58(x67891,x67892,x67893)+P1(f313(f313(f315(x67891),f604(x67893,x67892,x67891)),x67892))
% 119.46/119.24 [6790]P58(x67901,x67902,x67903)+P1(f313(f313(f315(x67901),f603(x67903,x67902,x67901)),x67902))
% 119.46/119.24 [6800]P1(f313(f301(x68001,x68002),x68003))+P1(f313(f313(x68002,f836(x68003,x68002,x68001)),x68003))
% 119.46/119.24 [6801]P1(f313(f301(x68011,x68012),x68013))+P1(f313(f313(x68012,f840(x68013,x68012,x68011)),x68013))
% 119.46/119.24 [6833]E(f313(f179(f885(x68331)),f158(x68331,x68332,x68333)),f313(f313(f3(a883),f313(f179(f885(x68331)),x68333)),f71(a883)))+~P1(f313(f313(f315(x68331),x68332),f313(f160(x68331),x68333)))
% 119.46/119.24 [6872]P1(f313(f236(x68721,x68722),x68723))+P1(f313(f313(f315(x68721),f830(x68723,x68722,x68721)),x68723))
% 119.46/119.24 [6885]~P1(f313(f54(f889(x68852,x68851)),f313(f272(x68851,x68852),x68853)))+P1(f313(f54(f889(x68851,x68852)),x68853))
% 119.46/119.24 [6945]~P1(f313(f313(f315(x69451),x69452),f313(f160(x69451),f105(x69451,x69453))))+P1(f313(f313(f315(x69451),x69452),f313(f160(x69451),x69453)))
% 119.46/119.24 [6952]P27(x69521,x69522,x69523)+P1(f313(f313(f315(f882(x69521)),f757(x69523,x69522,x69521)),x69523))
% 119.46/119.24 [6984]E(f313(f124(x69841,x69842),x69843),x69843)+P1(f313(f313(f315(x69841),f707(x69843,x69842,x69841)),f313(f160(x69841),x69843)))
% 119.46/119.24 [7000]E(f313(f124(x70001,x70002),x70003),f104(x70001))+P1(f313(f313(f315(x70001),f706(x70003,x70002,x70001)),f313(f160(x70001),x70003)))
% 119.46/119.24 [7024]P30(x70241,x70242,x70243)+P1(f313(f313(f315(x70241),f773(x70243,x70242,x70241)),f313(f160(x70241),x70243)))
% 119.46/119.24 [7025]P30(x70251,x70252,x70253)+P1(f313(f313(f315(x70251),f783(x70253,x70252,x70251)),f313(f160(x70251),x70253)))
% 119.46/119.24 [7026]P30(x70261,x70262,x70263)+P1(f313(f313(f315(x70261),f782(x70262,x70263,x70261)),f313(f160(x70261),x70263)))
% 119.46/119.24 [7029]E(f165(x70291,x70292,x70293),x70293)+P1(f313(f313(f315(x70291),f732(x70293,x70292,x70291)),f313(f160(x70291),x70293)))
% 119.46/119.24 [7106]P1(f313(f148(x71061,x71062),x71063))+P1(f313(f313(f315(x71061),f708(x71063,x71062,x71061)),f313(f160(x71061),x71063)))
% 119.46/119.24 [7115]~P32(x71151,x71153,x71152)+P1(f313(f313(f315(x71151),f769(x71152,x71153,x71151)),f313(f160(x71151),x71152)))
% 119.46/119.24 [7116]~P34(x71161,x71163,x71162)+P1(f313(f313(f315(x71161),f772(x71162,x71163,x71161)),f313(f160(x71161),x71162)))
% 119.46/119.24 [7117]~P34(x71171,x71173,x71172)+P1(f313(f313(f315(x71171),f784(x71172,x71173,x71171)),f313(f160(x71171),x71172)))
% 119.46/119.24 [7118]~P32(x71181,x71182,x71183)+P1(f313(f313(f315(x71181),f796(x71182,x71183,x71181)),f313(f160(x71181),x71183)))
% 119.46/119.24 [7119]~P32(x71191,x71193,x71192)+P1(f313(f313(f315(x71191),f802(x71192,x71193,x71191)),f313(f160(x71191),x71192)))
% 119.46/119.24 [7153]P1(f313(f313(f315(x71531),x71532),f653(x71533,x71532,x71531)))+~P1(f313(f313(f315(x71531),x71532),f30(f890(x71531,a881),x71533)))
% 119.46/119.24 [7154]~P79(x71541)+E(f313(f313(f73(x71541),f313(f313(f8(a883,x71541),x71542),f313(f268(a883),x71543))),f313(x71542,x71543)),f313(f313(f8(a883,x71541),x71542),f313(f268(a883),f313(a103,x71543))))
% 119.46/119.24 [7248]~P32(x72482,x72481,x72483)+P1(f313(x72481,f313(f313(f152(x72482),x72483),f771(x72483,x72481,x72482))))
% 119.46/119.24 [7259]~P1(f313(f313(f315(x72591),x72592),f642(x72592,x72593,x72591)))+P1(f313(f313(f315(x72591),x72592),f31(f890(x72591,a881),x72593)))
% 119.46/119.24 [7292]~P79(x72921)+E(f313(f313(f73(x72921),f313(f313(f8(a883,x72921),x72922),f313(f287(a883),x72923))),f313(x72922,f313(a103,x72923))),f313(f313(f8(a883,x72921),x72922),f313(f287(a883),f313(a103,x72923))))
% 119.46/119.24 [7438]P1(f313(f313(f315(f885(x74381)),x74382),f149(x74381,x74383)))+P1(f313(f313(f315(x74381),f676(x74383,x74382,x74381)),f313(f160(x74381),x74382)))
% 119.46/119.24 [7454]~P1(f313(f313(f315(f885(x74541)),x74542),f149(x74541,f302(x74541,x74543))))+P1(f313(f313(f315(f885(x74541)),x74542),f302(f885(x74541),f145(x74541,x74543))))
% 119.46/119.24 [7478]~P1(f313(f313(f315(f885(x74781)),x74782),f302(f885(x74781),f145(x74781,x74783))))+P1(f313(f313(f315(f885(x74781)),x74782),f149(x74781,f302(x74781,x74783))))
% 119.46/119.24 [7511]E(f313(f313(f313(f171(f885(x75111),f885(x75111)),x75112),f155(x75111)),x75113),x75113)+~P1(f313(f313(f222(a883),f313(f179(f885(x75111)),x75113)),f71(a883)))
% 119.46/119.24 [7538]~E(f38(a883,x75381,x75382),f38(a883,x75383,x75382))+E(f313(f313(f73(a883),x75381),f313(f313(f74(a883),x75382),f866(x75383,x75382,x75381))),f313(f313(f73(a883),x75383),f313(f313(f74(a883),x75382),f867(x75383,x75382,x75381))))
% 119.46/119.24 [7545]E(f313(f313(f122(x75451),f775(x75452,x75453,x75451)),f313(f313(f139(x75451),x75453),f781(x75452,x75453,x75451))),x75452)+~P1(f313(f313(f315(x75451),x75453),f313(f160(x75451),x75452)))
% 119.46/119.24 [7546]E(f313(f313(f122(x75461),f776(x75462,x75463,x75461)),f313(f313(f139(x75461),x75463),f777(x75462,x75463,x75461))),x75462)+~P1(f313(f313(f315(x75461),x75463),f313(f160(x75461),x75462)))
% 119.46/119.24 [7547]E(f313(f313(f122(x75471),f778(x75472,x75473,x75471)),f313(f313(f139(x75471),x75473),f779(x75472,x75473,x75471))),x75472)+~P1(f313(f313(f315(x75471),x75473),f313(f160(x75471),x75472)))
% 119.46/119.24 [7567]~P24(x75671,x75672,x75673,f230(f890(x75671,a881)))+P24(f885(x75671),f885(x75672),f313(f142(x75671,x75672),x75673),f230(f890(f885(x75671),a881)))
% 119.46/119.24 [7568]~P24(x75681,x75682,x75683,f230(f890(x75681,a881)))+P24(f885(x75681),f885(x75682),f313(f142(x75681,x75682),x75683),f230(f890(f885(x75681),a881)))
% 119.46/119.24 [7721]E(x77211,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x77212)),x77213)),f313(f244(a883,a883),x77212)))+~P1(f313(f41(x77211,x77213),x77212))
% 119.46/119.24 [7728]P24(x77281,x77282,x77283,f230(f890(x77281,a881)))+~P24(f885(x77281),f885(x77282),f313(f142(x77281,x77282),x77283),f230(f890(f885(x77281),a881)))
% 119.46/119.24 [7729]P24(x77291,x77292,x77293,f230(f890(x77291,a881)))+~P24(f885(x77291),f885(x77292),f313(f142(x77291,x77292),x77293),f230(f890(f885(x77291),a881)))
% 119.46/119.24 [7775]P1(f313(f313(f315(f890(x77751,a881)),f642(x77752,x77753,x77751)),x77753))+P1(f313(f313(f315(x77751),x77752),f31(f890(x77751,a881),x77753)))
% 119.46/119.24 [7865]P1(f313(f313(f315(f885(x78651)),x78652),f149(x78651,x78653)))+~P1(f313(f313(f315(x78651),f676(x78653,x78652,x78651)),x78653))
% 119.46/119.24 [7966]P30(x79661,x79662,x79663)+~P1(f313(x79662,f313(f313(f152(x79661),x79663),f774(x79663,x79662,x79661))))
% 119.46/119.24 [7993]E(x79931,x79932)+~E(f313(f313(f9(x79933,f890(x79933,a881),a881),f315(x79933)),x79931),f313(f313(f9(x79933,f890(x79933,a881),a881),f315(x79933)),x79932))
% 119.46/119.24 [7999]~P1(f313(f313(f315(f889(x79991,x79991)),x79993),f251(x79991,x79992)))+P1(f313(f313(f315(x79991),f476(x79992,x79993,x79991)),x79992))
% 119.46/119.24 [8001]~P1(f313(f313(f315(x80011),x80013),f30(f890(x80011,a881),x80012)))+P1(f313(f313(f315(f890(x80011,a881)),f653(x80012,x80013,x80011)),x80012))
% 119.46/119.24 [8175]~P1(f313(f313(f315(x81751),x81752),f313(f160(x81751),f776(x81753,x81752,x81751))))+~P1(f313(f313(f315(x81751),x81752),f313(f160(x81751),x81753)))
% 119.46/119.24 [8176]~P1(f313(f313(f315(x81761),x81762),f313(f160(x81761),f779(x81763,x81762,x81761))))+~P1(f313(f313(f315(x81761),x81762),f313(f160(x81761),x81763)))
% 119.46/119.24 [8364]E(x83641,f104(x83642))+P1(f313(f313(f315(x83642),f313(f239(x83642,f889(a90,a90)),f313(f261(x83642,x83641),x83643))),f313(f160(x83642),x83641)))
% 119.46/119.24 [8461]~P74(x84611)+E(f313(f130(x84611,x84611,f313(f9(x84611,x84611,x84611),f73(x84611)),x84612),f313(f156(x84611),x84613)),f313(f130(x84611,x84611,f73(x84611),x84612),x84613))
% 119.46/119.24 [8950]~P4(x89501)+E(f313(f160(x89501),f137(x89501,x89501,f7(x89501),x89502,x89503)),f313(f313(f295(x89501),x89502),f313(f160(x89501),x89503)))
% 119.46/119.24 [8959]~E(f313(x89593,f313(f85(x89591,x89592,f230(f890(x89591,a881)),x89593),f820(x89593,x89592,x89591))),f820(x89593,x89592,x89591))+E(f313(f296(x89591,x89592,x89593),f230(f890(x89591,a881))),f230(f890(x89592,a881)))
% 119.46/119.24 [8961]P1(f313(f313(f223(a883),f2(a883)),f612(x89611,x89612,x89613)))+~P1(f313(f313(f315(f889(x89613,x89613)),x89612),f313(f313(f275(x89613,x89613,x89613),x89611),f293(x89613,x89611))))
% 119.46/119.24 [9237]~P60(x92371,x92372)+~P1(f313(f313(f315(f889(x92371,x92371)),f313(f313(f240(x92371,x92371),x92373),x92373)),f313(f313(f275(x92371,x92371,x92371),x92372),f293(x92371,x92372))))
% 119.46/119.24 [9370]~E(f313(f313(f93(f890(f889(x93701,x93701),a881)),f313(f272(x93701,x93701),x93702)),f293(x93701,x93702)),f178(f890(f889(x93701,x93701),a881)))+~P1(f313(f313(f315(f889(x93701,x93701)),f313(f313(f240(x93701,x93701),x93703),x93703)),f313(f313(f275(x93701,x93701,x93701),x93702),f293(x93701,x93702))))
% 119.46/119.24 [9557]~P1(f313(f54(x95571),x95572))+P1(f313(f313(f222(a883),f313(f28(x95571),f313(f313(f3(f890(x95571,a881)),x95572),f313(f313(f295(x95571),x95573),f178(f890(x95571,a881)))))),f313(f28(x95571),x95572)))
% 119.46/119.24 [5020]~E(x50203,f104(x50201))+E(f132(x50201,f313(f313(f139(x50201),x50202),x50203)),x50202)
% 119.46/119.24 [5021]~E(x50213,f104(x50211))+E(f132(x50211,f313(f313(f139(x50211),x50212),x50213)),x50212)
% 119.46/119.24 [5030]~E(x50303,f104(x50301))+E(f105(x50301,f313(f313(f139(x50301),x50302),x50303)),f104(x50301))
% 119.46/119.24 [5062]E(x50621,f104(x50622))+E(f132(x50622,f313(f313(f139(x50622),x50623),x50621)),f132(x50622,x50621))
% 119.46/119.24 [5063]E(x50631,f104(x50632))+E(f132(x50632,f313(f313(f139(x50632),x50633),x50631)),f132(x50632,x50631))
% 119.46/119.24 [5064]E(x50641,f104(x50642))+E(f132(x50642,f313(f313(f122(x50642),x50643),x50641)),f132(x50642,x50641))
% 119.46/119.24 [5065]E(x50651,f104(x50652))+E(f132(x50652,f313(f313(f122(x50652),x50653),x50651)),f132(x50652,x50651))
% 119.46/119.24 [5073]~E(x50733,f104(x50731))+E(f132(x50731,f313(f313(f122(x50731),x50732),x50733)),f132(x50731,x50732))
% 119.46/119.24 [5074]~E(x50743,f104(x50741))+E(f132(x50741,f313(f313(f122(x50741),x50742),x50743)),f132(x50741,x50742))
% 119.46/119.24 [5075]~E(x50753,f104(x50751))+E(f105(x50751,f313(f313(f122(x50751),x50752),x50753)),f105(x50751,x50752))
% 119.46/119.24 [5110]E(x51101,f104(x51102))+E(f313(f129(x51102),f313(f313(f122(x51102),x51101),x51103)),f313(f129(x51102),x51101))
% 119.46/119.24 [5111]E(x51111,f104(x51112))+E(f313(f129(x51112),f313(f313(f122(x51112),x51111),x51113)),f313(f129(x51112),x51111))
% 119.46/119.24 [5139]~E(x51392,f104(x51391))+E(f313(f129(x51391),f313(f313(f122(x51391),x51392),x51393)),f313(f129(x51391),x51393))
% 119.46/119.24 [5192]~P4(x51921)+E(f313(f313(f227(x51921),x51922),f313(f313(f177(x51921),x51922),x51923)),x51922)
% 119.46/119.24 [5193]~P4(x51931)+E(f313(f313(f177(x51931),x51932),f313(f313(f227(x51931),x51932),x51933)),x51932)
% 119.46/119.24 [5194]~P103(x51941)+E(f313(f313(f92(x51941),x51942),f313(f313(f93(x51941),x51942),x51943)),x51942)
% 119.46/119.24 [5195]~P103(x51951)+E(f313(f313(f93(x51951),x51952),f313(f313(f92(x51951),x51952),x51953)),x51952)
% 119.46/119.24 [5214]~P66(x52141)+E(f38(x52141,f313(f313(f74(x52141),x52142),x52143),x52143),f2(x52141))
% 119.46/119.24 [5215]~P66(x52151)+E(f38(x52151,f313(f313(f74(x52151),x52152),x52153),x52152),f2(x52151))
% 119.46/119.24 [5285]~P65(x52851)+E(f313(f72(x52851),f313(f313(f3(x52851),x52852),x52853)),f313(f313(f3(x52851),x52853),x52852))
% 119.46/119.24 [5348]E(x53481,f104(x53482))+E(f105(x53482,f313(f313(f139(x53482),x53483),x53481)),f313(f313(f139(x53482),x53483),f105(x53482,x53481)))
% 119.46/119.24 [5349]E(x53491,f104(x53492))+E(f105(x53492,f313(f313(f122(x53492),x53493),x53491)),f313(f313(f122(x53492),x53493),f105(x53492,x53491)))
% 119.46/119.24 [5352]~P5(x53521)+E(f31(x53521,f313(f313(f295(x53521),x53522),x53523)),f313(f313(f93(x53521),x53522),f31(x53521,x53523)))
% 119.46/119.24 [5353]~P5(x53531)+E(f30(x53531,f313(f313(f295(x53531),x53532),x53533)),f313(f313(f92(x53531),x53532),f30(x53531,x53533)))
% 119.46/119.24 [5397]~P101(x53971)+E(f313(f313(f74(x53971),x53972),f313(f313(f74(x53971),x53972),x53973)),f313(f313(f74(x53971),x53972),x53973))
% 119.46/119.24 [5398]~P4(x53981)+E(f313(f313(f227(x53981),x53982),f313(f313(f227(x53981),x53982),x53983)),f313(f313(f227(x53981),x53982),x53983))
% 119.46/119.24 [5399]~P4(x53991)+E(f313(f313(f227(x53991),x53992),f313(f313(f227(x53991),x53992),x53993)),f313(f313(f227(x53991),x53992),x53993))
% 119.46/119.24 [5400]~P4(x54001)+E(f313(f313(f177(x54001),x54002),f313(f313(f177(x54001),x54002),x54003)),f313(f313(f177(x54001),x54002),x54003))
% 119.46/119.24 [5401]~P4(x54011)+E(f313(f313(f177(x54011),x54012),f313(f313(f177(x54011),x54012),x54013)),f313(f313(f177(x54011),x54012),x54013))
% 119.46/119.24 [5402]~P102(x54021)+E(f313(f313(f92(x54021),x54022),f313(f313(f92(x54021),x54022),x54023)),f313(f313(f92(x54021),x54022),x54023))
% 119.46/119.24 [5403]~P102(x54031)+E(f313(f313(f92(x54031),x54032),f313(f313(f92(x54031),x54032),x54033)),f313(f313(f92(x54031),x54032),x54033))
% 119.46/119.24 [5404]~P103(x54041)+E(f313(f313(f92(x54041),x54042),f313(f313(f92(x54041),x54042),x54043)),f313(f313(f92(x54041),x54042),x54043))
% 119.46/119.24 [5405]~P103(x54051)+E(f313(f313(f93(x54051),x54052),f313(f313(f93(x54051),x54052),x54053)),f313(f313(f93(x54051),x54052),x54053))
% 119.46/119.24 [5406]~P108(x54061)+E(f313(f313(f93(x54061),x54062),f313(f313(f93(x54061),x54062),x54063)),f313(f313(f93(x54061),x54062),x54063))
% 119.46/119.24 [5407]~P108(x54071)+E(f313(f313(f93(x54071),x54072),f313(f313(f93(x54071),x54072),x54073)),f313(f313(f93(x54071),x54072),x54073))
% 119.46/119.24 [5414]~P66(x54141)+E(f38(x54141,f313(f313(f73(x54141),x54142),x54143),x54143),f38(x54141,x54142,x54143))
% 119.46/119.24 [5415]~P66(x54151)+E(f38(x54151,f313(f313(f73(x54151),x54152),x54153),x54152),f38(x54151,x54153,x54152))
% 119.46/119.24 [5424]~P145(x54241)+E(f313(f313(f74(x54241),x54242),f313(f72(x54241),x54243)),f313(f72(x54241),f313(f313(f74(x54241),x54242),x54243)))
% 119.46/119.24 [5425]~P70(x54251)+E(f313(f313(f277(x54251),x54252),f313(f72(x54251),x54253)),f313(f72(x54251),f313(f313(f277(x54251),x54252),x54253)))
% 119.46/119.24 [5426]~P83(x54261)+E(f313(f313(f73(x54261),x54262),f313(f153(x54261),x54263)),f313(f153(x54261),f313(f313(f139(x54261),x54262),x54263)))
% 119.46/119.24 [5454]~P145(x54541)+E(f313(f313(f74(x54541),f313(f72(x54541),x54542)),x54543),f313(f313(f74(x54541),x54542),f313(f72(x54541),x54543)))
% 119.46/119.24 [5460]~P8(x54601,x54602,x54603)+E(f30(f890(x54601,a881),f313(f313(f53(x54601),x54602),x54603)),x54602)
% 119.46/119.24 [5525]~P116(x55251)+E(f313(f313(f74(x55251),x55252),f313(f313(f232(x55251),x55252),x55253)),f313(f313(f232(x55251),x55252),f313(a103,x55253)))
% 119.46/119.24 [5526]~P120(x55261)+E(f313(f313(f74(x55261),x55262),f313(f313(f232(x55261),x55262),x55263)),f313(f313(f232(x55261),x55262),f313(a103,x55263)))
% 119.46/119.24 [5527]~P120(x55271)+E(f313(f313(f74(x55271),x55272),f313(f313(f232(x55271),x55272),x55273)),f313(f313(f232(x55271),x55272),f313(a103,x55273)))
% 119.46/119.24 [5537]~P81(x55371)+E(f313(f313(f73(x55371),f313(f72(x55371),x55372)),f313(f313(f73(x55371),x55372),x55373)),x55373)
% 119.46/119.24 [5560]~P2(x55601)+E(f313(f313(f232(x55601),f313(f91(x55601),x55602)),x55603),f313(f91(x55601),f313(f313(f232(a883),x55602),x55603)))
% 119.46/119.24 [5561]~P144(x55611)+E(f313(f313(f232(x55611),f313(f94(x55611),x55612)),x55613),f313(f94(x55611),f313(f313(f232(a1),x55612),x55613)))
% 119.46/119.24 [5567]~P90(x55671)+E(f313(f69(x55671),f313(f313(f3(x55671),x55672),x55673)),f313(f69(x55671),f313(f313(f3(x55671),x55673),x55672)))
% 119.46/119.24 [5569]~P115(x55691)+E(f313(f313(f74(x55691),f75(x55691,x55692)),f75(x55691,x55693)),f75(x55691,f313(f313(f74(x55691),x55692),x55693)))
% 119.46/119.24 [5573]E(x55731,f104(x55732))+E(f313(f313(f122(x55732),f313(f159(x55732),x55731)),x55733),f313(f159(x55732),f313(f313(f122(x55732),x55731),x55733)))
% 119.46/119.24 [5579]~E(x55792,f313(a103,f313(f313(f73(a883),x55791),x55793)))+P1(f313(f313(f223(a883),x55791),x55792))
% 119.46/119.24 [5580]~P145(x55801)+E(f313(f313(f74(x55801),f313(f72(x55801),x55802)),x55803),f313(f72(x55801),f313(f313(f74(x55801),x55802),x55803)))
% 119.46/119.24 [5581]~P126(x55811)+E(f313(f313(f277(x55811),f313(f72(x55811),x55812)),x55813),f313(f72(x55811),f313(f313(f277(x55811),x55812),x55813)))
% 119.46/119.24 [5582]~P115(x55821)+E(f313(f313(f232(x55821),f313(f69(x55821),x55822)),x55823),f313(f69(x55821),f313(f313(f232(x55821),x55822),x55823)))
% 119.46/119.24 [5682]E(f452(x56821,x56822,x56823),f455(x56821,x56822,x56823))+E(f313(f313(f93(f890(x56823,a881)),x56822),x56821),f178(f890(x56823,a881)))
% 119.46/119.24 [5697]~P79(x56972)+E(f313(f313(f8(x56971,x56972),f313(f18(x56972,x56971),f2(x56972))),x56973),f2(x56972))
% 119.46/119.24 [5698]~P75(x56982)+E(f313(f313(f11(x56981,x56982),f313(f18(x56982,x56981),f71(x56982))),x56983),f71(x56982))
% 119.46/119.24 [5700]~P2(x57001)+E(f313(f313(f74(x57001),f313(f91(x57001),x57002)),f313(f91(x57001),x57003)),f313(f91(x57001),f313(f313(f74(a883),x57002),x57003)))
% 119.46/119.24 [5701]~P2(x57011)+E(f313(f313(f73(x57011),f313(f91(x57011),x57012)),f313(f91(x57011),x57013)),f313(f91(x57011),f313(f313(f73(a883),x57012),x57013)))
% 119.46/119.24 [5702]~P144(x57021)+E(f313(f313(f74(x57021),f313(f94(x57021),x57022)),f313(f94(x57021),x57023)),f313(f94(x57021),f313(f313(f74(a1),x57022),x57023)))
% 119.46/119.24 [5703]~P144(x57031)+E(f313(f313(f73(x57031),f313(f94(x57031),x57032)),f313(f94(x57031),x57033)),f313(f94(x57031),f313(f313(f73(a1),x57032),x57033)))
% 119.46/119.24 [5704]~P144(x57041)+E(f313(f313(f3(x57041),f313(f94(x57041),x57042)),f313(f94(x57041),x57043)),f313(f94(x57041),f313(f313(f3(a1),x57042),x57043)))
% 119.46/119.24 [5705]~P98(x57051)+E(f313(f313(f74(x57051),f313(f95(x57051),x57052)),f313(f95(x57051),x57053)),f313(f95(x57051),f313(f313(f74(a1),x57052),x57053)))
% 119.46/119.24 [5706]~P98(x57061)+E(f313(f313(f73(x57061),f313(f95(x57061),x57062)),f313(f95(x57061),x57063)),f313(f95(x57061),f313(f313(f73(a1),x57062),x57063)))
% 119.46/119.24 [5707]~P98(x57071)+E(f313(f313(f3(x57071),f313(f95(x57071),x57072)),f313(f95(x57071),x57073)),f313(f95(x57071),f313(f313(f3(a1),x57072),x57073)))
% 119.46/119.24 [5708]~P98(x57081)+E(f313(f313(f74(x57081),f313(f95(x57081),x57082)),f313(f95(x57081),x57083)),f313(f95(x57081),f313(f313(f74(a1),x57082),x57083)))
% 119.46/119.24 [5709]~P98(x57091)+E(f313(f313(f73(x57091),f313(f95(x57091),x57092)),f313(f95(x57091),x57093)),f313(f95(x57091),f313(f313(f73(a1),x57092),x57093)))
% 119.46/119.24 [5757]~E(x57573,x57572)+P1(f313(f313(f222(f890(x57571,a881)),x57572),x57573))
% 119.46/119.24 [5758]~E(x57582,x57583)+P1(f313(f313(f222(f890(x57581,a881)),x57582),x57583))
% 119.46/119.24 [5759]~E(x57592,x57593)+P1(f313(f313(f222(f890(x57591,a881)),x57592),x57593))
% 119.46/119.24 [5760]~E(x57602,x57603)+P1(f313(f313(f222(f890(x57601,a881)),x57602),x57603))
% 119.46/119.24 [5761]~E(x57612,x57613)+P1(f313(f313(f222(f890(x57611,a881)),x57612),x57613))
% 119.46/119.24 [5762]~E(x57622,x57623)+P1(f313(f313(f222(f890(x57621,a881)),x57622),x57623))
% 119.46/119.24 [5763]~E(x57632,x57633)+P1(f313(f313(f222(f890(x57631,a881)),x57632),x57633))
% 119.46/119.24 [5768]~P81(x57681)+E(f313(f313(f73(x57681),f313(f72(x57681),x57682)),f313(f72(x57681),x57683)),f313(f72(x57681),f313(f313(f73(x57681),x57683),x57682)))
% 119.46/119.24 [5769]~P65(x57691)+E(f313(f313(f73(x57691),f313(f72(x57691),x57692)),f313(f72(x57691),x57693)),f313(f72(x57691),f313(f313(f73(x57691),x57692),x57693)))
% 119.46/119.24 [5770]~P82(x57701)+E(f313(f313(f177(x57701),f313(f72(x57701),x57702)),f313(f72(x57701),x57703)),f313(f72(x57701),f313(f313(f227(x57701),x57702),x57703)))
% 119.46/119.24 [5771]~P82(x57711)+E(f313(f313(f227(x57711),f313(f72(x57711),x57712)),f313(f72(x57711),x57713)),f313(f72(x57711),f313(f313(f177(x57711),x57712),x57713)))
% 119.46/119.24 [5772]~P100(x57721)+E(f313(f313(f93(x57721),f313(f72(x57721),x57722)),f313(f72(x57721),x57723)),f313(f72(x57721),f313(f313(f92(x57721),x57722),x57723)))
% 119.46/119.24 [5773]~P100(x57731)+E(f313(f313(f92(x57731),f313(f72(x57731),x57732)),f313(f72(x57731),x57733)),f313(f72(x57731),f313(f313(f93(x57731),x57732),x57733)))
% 119.46/119.24 [5774]~P115(x57741)+E(f313(f313(f74(x57741),f313(f69(x57741),x57742)),f313(f69(x57741),x57743)),f313(f69(x57741),f313(f313(f74(x57741),x57742),x57743)))
% 119.46/119.24 [5775]~P72(x57751)+E(f313(f313(f277(x57751),f313(f69(x57751),x57752)),f313(f69(x57751),x57753)),f313(f69(x57751),f313(f313(f277(x57751),x57752),x57753)))
% 119.46/119.24 [5776]~P83(x57761)+E(f313(f313(f73(x57761),f313(f153(x57761),x57762)),f313(f153(x57761),x57763)),f313(f153(x57761),f313(f313(f122(x57761),x57762),x57763)))
% 119.46/119.24 [5777]E(x57771,f178(f890(x57772,a881)))+~E(f313(f313(f92(f890(x57772,a881)),x57773),x57771),f178(f890(x57772,a881)))
% 119.46/119.24 [5778]E(x57781,f178(f890(x57782,a881)))+~E(f313(f313(f92(f890(x57782,a881)),x57781),x57783),f178(f890(x57782,a881)))
% 119.46/119.24 [5779]~P151(x57791,x57793,x57792)+P1(f313(x57791,f313(f313(f29(a1),x57792),x57793)))
% 119.46/119.24 [5842]~P1(f313(f54(x58421),x58423))+P1(f313(f54(x58421),f313(f313(f295(x58421),x58422),x58423)))
% 119.46/119.24 [5843]~P1(f313(f54(x58431),x58433))+P1(f313(f54(x58431),f313(f313(f295(x58431),x58432),x58433)))
% 119.46/119.24 [5844]~P1(f313(f125(x58441),x58443))+P1(f313(f125(x58441),f313(f313(f163(x58441),x58442),x58443)))
% 119.46/119.24 [5845]~P1(f313(f125(x58451),x58453))+P1(f313(f125(x58451),f313(f313(f126(x58451),x58452),x58453)))
% 119.46/119.24 [5876]~P4(x58761)+P1(f313(f313(f222(x58761),x58762),f313(f313(f177(x58761),x58763),x58762)))
% 119.46/119.24 [5877]~P4(x58771)+P1(f313(f313(f222(x58771),x58772),f313(f313(f177(x58771),x58772),x58773)))
% 119.46/119.24 [5878]~P102(x58781)+P1(f313(f313(f222(x58781),x58782),f313(f313(f92(x58781),x58783),x58782)))
% 119.46/119.24 [5879]~P103(x58791)+P1(f313(f313(f222(x58791),x58792),f313(f313(f92(x58791),x58793),x58792)))
% 119.46/119.24 [5880]~P102(x58801)+P1(f313(f313(f222(x58801),x58802),f313(f313(f92(x58801),x58802),x58803)))
% 119.46/119.24 [5881]~P103(x58811)+P1(f313(f313(f222(x58811),x58812),f313(f313(f92(x58811),x58812),x58813)))
% 119.46/119.24 [5882]~P120(x58821)+P1(f313(f313(f273(x58821),x58822),f313(f313(f74(x58821),x58823),x58822)))
% 119.46/119.24 [5883]~P120(x58831)+P1(f313(f313(f273(x58831),x58832),f313(f313(f74(x58831),x58832),x58833)))
% 119.46/119.24 [5896]~E(x58961,f2(a883))+E(f313(f313(f29(a883),f313(f313(f74(a883),x58961),x58962)),f313(f313(f74(a883),x58961),x58963)),f2(a883))
% 119.46/119.24 [5981]~P98(x59811)+E(f313(f313(f3(x59811),f313(f95(x59811),x59812)),f313(f95(x59811),x59813)),f313(f95(x59811),f313(f313(f73(a1),x59812),f313(f72(a1),x59813))))
% 119.46/119.24 [6042]E(x60421,f2(a883))+E(f313(f313(f29(a883),f313(f313(f74(a883),x60421),x60422)),f313(f313(f74(a883),x60421),x60423)),f313(f313(f29(a883),x60422),x60423))
% 119.46/119.24 [6073]E(f140(x60731,f313(f313(f139(x60731),x60732),x60733)),f313(f313(f139(x60731),x60732),f140(x60731,x60733)))+P1(f313(f313(f315(x60731),x60732),f313(f160(x60731),x60733)))
% 119.46/119.24 [6109]P151(x61091,x61092,x61093)+~P1(f313(x61091,f313(f313(f29(a1),x61093),x61092)))
% 119.46/119.24 [6186]E(x61861,f104(x61862))+E(f313(f313(f139(x61862),f313(f129(x61862),x61861)),f313(f313(f163(x61862),x61863),f313(f159(x61862),x61861))),f313(f313(f163(x61862),f313(a103,x61863)),x61861))
% 119.46/119.24 [6195]E(f313(f313(f3(f890(x61951,a881)),x61952),x61953),x61952)+~E(f313(f313(f93(f890(x61951,a881)),x61952),x61953),f178(f890(x61951,a881)))
% 119.46/119.24 [6210]E(f140(x62101,f313(f313(f139(x62101),x62102),x62103)),f140(x62101,x62103))+~P1(f313(f313(f315(x62101),x62102),f313(f160(x62101),x62103)))
% 119.46/119.24 [6239]~P1(f313(f313(f222(a883),x62391),x62393))+P1(f313(f313(f222(a883),x62391),f313(f313(f73(a883),x62392),x62393)))
% 119.46/119.24 [6240]~P1(f313(f313(f222(a883),x62401),x62403))+P1(f313(f313(f222(a883),x62401),f313(f313(f73(a883),x62402),x62403)))
% 119.46/119.24 [6241]~P1(f313(f313(f222(a883),x62411),x62412))+P1(f313(f313(f222(a883),x62411),f313(f313(f73(a883),x62412),x62413)))
% 119.46/119.24 [6242]~P1(f313(f313(f222(a883),x62421),x62422))+P1(f313(f313(f222(a883),x62421),f313(f313(f73(a883),x62422),x62423)))
% 119.46/119.24 [6243]~P1(f313(f313(f223(a883),x62431),x62433))+P1(f313(f313(f223(a883),x62431),f313(f313(f73(a883),x62432),x62433)))
% 119.46/119.24 [6244]~P1(f313(f313(f223(a883),x62441),x62443))+P1(f313(f313(f223(a883),x62441),f313(f313(f73(a883),x62442),x62443)))
% 119.46/119.24 [6245]~P1(f313(f313(f223(a883),x62451),x62452))+P1(f313(f313(f223(a883),x62451),f313(f313(f73(a883),x62452),x62453)))
% 119.46/119.24 [6246]~P1(f313(f313(f223(a883),x62461),x62462))+P1(f313(f313(f223(a883),x62461),f313(f313(f73(a883),x62462),x62463)))
% 119.46/119.24 [6286]P1(f313(f54(x62861),x62862))+~P1(f313(f54(x62861),f313(f313(f295(x62861),x62863),x62862)))
% 119.46/119.24 [6287]P1(f313(f125(x62871),x62872))+~P1(f313(f125(x62871),f313(f313(f139(x62871),x62873),x62872)))
% 119.46/119.24 [6288]P1(f313(f125(x62881),x62882))+~P1(f313(f125(x62881),f313(f313(f122(x62881),x62883),x62882)))
% 119.46/119.24 [6289]P1(f313(f125(x62891),x62892))+~P1(f313(f125(x62891),f313(f313(f122(x62891),x62892),x62893)))
% 119.46/119.24 [6341]~E(f38(a1,x63412,x63411),f38(a1,x63413,x63411))+P1(f313(f313(f273(a1),x63411),f313(f313(f3(a1),x63412),x63413)))
% 119.46/119.24 [6346]~P120(x63461)+E(f313(f313(f73(x63461),x63462),f313(f313(f74(x63461),x63463),x63462)),f313(f313(f74(x63461),f313(f313(f73(x63461),x63463),f71(x63461))),x63462))
% 119.46/119.24 [6395]~E(x63951,x63952)+~P1(f313(f313(f223(f890(x63953,a881)),x63951),x63952))
% 119.46/119.24 [6444]P1(f313(f313(f315(x64441),x64442),x64443))+P1(f313(f313(f315(x64441),x64442),f313(f72(f890(x64441,a881)),x64443)))
% 119.46/119.24 [6445]P1(f313(f313(f315(x64451),x64452),x64453))+P1(f313(f313(f315(x64451),x64452),f313(f72(f890(x64451,a881)),x64453)))
% 119.46/119.24 [6452]E(f132(x64521,f313(f313(f126(x64521),x64522),x64523)),f132(x64521,x64523))+~P1(f313(f313(f223(a883),x64522),f313(f179(f885(x64521)),x64523)))
% 119.46/119.24 [6453]E(f313(f313(f163(x64531),x64532),f105(x64531,x64533)),f313(f313(f163(x64531),x64532),x64533))+~P1(f313(f313(f223(a883),x64532),f313(f179(f885(x64531)),x64533)))
% 119.46/119.24 [6514]E(f313(f313(f313(f171(f885(x65141),f885(x65141)),x65142),f155(x65141)),x65143),x65143)+~E(f38(a883,x65142,f313(f179(f885(x65141)),x65143)),f2(a883))
% 119.46/119.24 [6521]~P8(x65211,x65213,x65212)+E(f313(f313(f275(x65211,x65211,x65211),f313(f272(x65211,x65211),x65212)),x65212),x65212)
% 119.46/119.24 [6565]~E(f313(f313(f92(f890(x65651,a881)),x65652),x65653),x65653)+P1(f313(f313(f222(f890(x65651,a881)),x65652),x65653))
% 119.46/119.24 [6570]~P57(x65701,x65701,x65703)+P57(x65701,x65701,f313(f313(f171(f889(x65701,x65701),a881),x65702),x65703))
% 119.46/119.24 [6573]~P1(f313(f313(f315(x65731),x65733),f313(f160(x65731),x65732)))+P1(f313(f313(f223(a883),f2(a883)),f313(f179(f885(x65731)),x65732)))
% 119.46/119.24 [6590]~E(x65902,x65903)+P1(f313(f313(f315(x65901),x65902),f313(f313(f295(x65901),x65903),f178(f890(x65901,a881)))))
% 119.46/119.24 [6601]~P90(x66011)+E(f313(f69(x66011),f313(f313(f73(x66011),f313(f69(x66011),x66012)),f313(f69(x66011),x66013))),f313(f313(f73(x66011),f313(f69(x66011),x66012)),f313(f69(x66011),x66013)))
% 119.46/119.24 [6612]E(f313(f313(f29(a883),f313(f313(f74(a883),x66121),x66122)),f313(f313(f74(a883),x66121),x66123)),f313(f313(f29(a883),x66122),x66123))+~P1(f313(f313(f223(a883),f2(a883)),x66121))
% 119.46/119.24 [6646]E(f38(a1,x66461,x66462),f38(a1,x66463,x66462))+~P1(f313(f313(f273(a1),x66462),f313(f313(f3(a1),x66461),x66463)))
% 119.46/119.24 [6766]~P1(f313(f54(x67661),x67663))+E(f313(f313(f57(x67661,f890(x67661,a881),f295(x67661)),x67662),x67663),f313(f313(f92(f890(x67661,a881)),x67663),x67662))
% 119.46/119.24 [6826]E(f313(f313(f92(f890(x68261,a881)),x68262),x68263),x68262)+~P1(f313(f313(f222(f890(x68261,a881)),x68263),x68262))
% 119.46/119.24 [6827]E(f313(f313(f92(f890(x68271,a881)),x68272),x68273),x68273)+~P1(f313(f313(f222(f890(x68271,a881)),x68272),x68273))
% 119.46/119.24 [6828]E(f313(f313(f92(f890(x68281,a881)),x68282),x68283),x68283)+~P1(f313(f313(f222(f890(x68281,a881)),x68282),x68283))
% 119.46/119.24 [6829]E(f313(f313(f93(f890(x68291,a881)),x68292),x68293),x68293)+~P1(f313(f313(f222(f890(x68291,a881)),x68293),x68292))
% 119.46/119.24 [6830]E(f313(f313(f93(f890(x68301,a881)),x68302),x68303),x68302)+~P1(f313(f313(f222(f890(x68301,a881)),x68302),x68303))
% 119.46/119.24 [6883]~P1(f313(f125(x68831),x68832))+E(f313(f313(f3(f890(x68831,a881)),f313(f160(x68831),x68832)),f313(f313(f295(x68831),x68833),f178(f890(x68831,a881)))),f313(f160(x68831),f158(x68831,x68833,x68832)))
% 119.46/119.24 [6940]P36(x69401,x69402)+~P36(x69401,f313(f313(f171(f889(x69401,x69401),a881),x69403),x69402))
% 119.46/119.24 [6959]~E(x69591,f2(a883))+P1(f313(f313(f273(a883),f313(f313(f74(a883),x69591),x69592)),f313(f313(f74(a883),x69591),x69593)))
% 119.46/119.24 [6979]~E(f38(a883,x69793,x69792),x69791)+E(f313(f313(f73(a883),x69791),f313(f313(f74(a883),f864(x69791,x69792,x69793)),x69792)),x69793)
% 119.46/119.24 [7011]P1(f313(f42(x70111,x70112),f313(a44,x70113)))+~P1(f313(f42(f313(f72(a1),x70111),f313(f72(a1),x70112)),x70113))
% 119.46/119.24 [7016]E(f313(f313(f3(f890(x70161,a881)),f313(f313(f295(x70161),x70162),x70163)),f313(f313(f295(x70161),x70162),f178(f890(x70161,a881)))),x70163)+P1(f313(f313(f315(x70161),x70162),x70163))
% 119.46/119.24 [7038]E(f313(f313(f93(f890(x70381,a881)),f313(f160(x70381),x70382)),f313(f160(x70381),x70383)),f178(f890(x70381,a881)))+~P1(f313(f125(x70381),f313(f313(f122(x70381),x70382),x70383)))
% 119.46/119.24 [7054]~P1(f313(f313(f315(x70541),x70542),f313(f160(x70541),x70543)))+~P1(f313(f125(x70541),f313(f313(f139(x70541),x70542),x70543)))
% 119.46/119.24 [7125]P30(x71251,x71252,x71253)+P1(f313(f313(f223(a883),f774(x71253,x71252,x71251)),f313(f179(f885(x71251)),x71253)))
% 119.46/119.24 [7135]E(f313(f313(f93(f890(x71351,a881)),x71352),x71353),f178(f890(x71351,a881)))+P1(f313(f313(f315(x71351),f452(x71353,x71352,x71351)),x71352))
% 119.46/119.24 [7136]E(f313(f313(f93(f890(x71361,a881)),x71362),x71363),f178(f890(x71361,a881)))+P1(f313(f313(f315(x71361),f455(x71363,x71362,x71361)),x71363))
% 119.46/119.24 [7139]E(f105(x71391,f313(f313(f163(x71391),x71392),x71393)),f313(f313(f163(x71391),f313(f313(f3(a883),x71392),f71(a883))),x71393))+~P1(f313(f313(f222(a883),x71392),f313(f179(f885(x71391)),x71393)))
% 119.46/119.24 [7200]~P32(x72003,x72002,x72001)+P1(f313(f313(f223(a883),f771(x72001,x72002,x72003)),f313(f179(f885(x72003)),x72001)))
% 119.46/119.24 [7221]P1(f313(f313(f223(a883),f2(a883)),x72211))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x72212),x72211)),f313(f313(f74(a883),x72213),x72211)))
% 119.46/119.24 [7222]P1(f313(f313(f223(a883),f2(a883)),x72221))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x72221),x72222)),f313(f313(f74(a883),x72221),x72223)))
% 119.46/119.24 [7223]~P1(f313(f313(f315(x72231),x72232),x72233))+~P1(f313(f313(f315(x72231),x72232),f313(f72(f890(x72231,a881)),x72233)))
% 119.46/119.24 [7224]~P1(f313(f313(f315(x72241),x72242),x72243))+~P1(f313(f313(f315(x72241),x72242),f313(f72(f890(x72241,a881)),x72243)))
% 119.46/119.24 [7225]~P1(f313(f313(f315(x72251),x72252),x72253))+~P1(f313(f313(f315(x72251),x72252),f313(f72(f890(x72251,a881)),x72253)))
% 119.46/119.24 [7229]~P1(f313(f313(f223(f890(x72291,a881)),x72292),x72293))+P1(f313(f313(f222(f890(x72291,a881)),x72292),x72293))
% 119.46/119.24 [7230]~P1(f313(f313(f223(f890(x72301,a881)),x72302),x72303))+P1(f313(f313(f222(f890(x72301,a881)),x72302),x72303))
% 119.46/119.24 [7231]~P1(f313(f313(f223(f890(x72311,a881)),x72312),x72313))+P1(f313(f313(f222(f890(x72311,a881)),x72312),x72313))
% 119.46/119.24 [7338]~P1(f313(f313(f222(a883),x73382),x73383))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x73381),x73382)),f313(f313(f74(a883),x73381),x73383)))
% 119.46/119.24 [7339]~P1(f313(f313(f222(a883),x73392),x73393))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x73391),x73392)),f313(f313(f74(a883),x73391),x73393)))
% 119.46/119.24 [7340]~P1(f313(f313(f222(a883),x73401),x73403))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x73401),x73402)),f313(f313(f74(a883),x73403),x73402)))
% 119.46/119.24 [7341]~P1(f313(f313(f222(a883),x73411),x73413))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x73411),x73412)),f313(f313(f74(a883),x73413),x73412)))
% 119.46/119.24 [7342]~P1(f313(f313(f222(a883),x73422),x73423))+P1(f313(f313(f222(a883),f313(f313(f73(a883),x73421),x73422)),f313(f313(f73(a883),x73421),x73423)))
% 119.46/119.24 [7343]~P1(f313(f313(f222(a883),x73431),x73433))+P1(f313(f313(f222(a883),f313(f313(f73(a883),x73431),x73432)),f313(f313(f73(a883),x73433),x73432)))
% 119.46/119.24 [7344]~P1(f313(f313(f222(a883),x73443),x73442))+P1(f313(f313(f222(a883),f313(f313(f3(a883),x73441),x73442)),f313(f313(f3(a883),x73441),x73443)))
% 119.46/119.24 [7345]~P1(f313(f313(f222(a883),x73451),x73453))+P1(f313(f313(f222(a883),f313(f313(f3(a883),x73451),x73452)),f313(f313(f3(a883),x73453),x73452)))
% 119.46/119.24 [7346]~P1(f313(f313(f222(a883),x73461),x73463))+P1(f313(f313(f222(a883),f313(f313(f29(a883),x73461),x73462)),f313(f313(f29(a883),x73463),x73462)))
% 119.46/119.24 [7347]~P1(f313(f313(f222(a1),x73472),x73473))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x73471),x73472)),f313(f313(f73(a1),x73471),x73473)))
% 119.46/119.24 [7350]~P1(f313(f313(f223(a883),x73502),x73503))+P1(f313(f313(f223(a883),f313(f313(f73(a883),x73501),x73502)),f313(f313(f73(a883),x73501),x73503)))
% 119.46/119.24 [7351]~P1(f313(f313(f223(a883),x73511),x73513))+P1(f313(f313(f223(a883),f313(f313(f73(a883),x73511),x73512)),f313(f313(f73(a883),x73513),x73512)))
% 119.46/119.24 [7352]~P1(f313(f313(f223(a1),x73521),x73523))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x73521),x73522)),f313(f313(f73(a1),x73523),x73522)))
% 119.46/119.24 [7355]~P1(f313(f313(f273(a883),x73552),x73553))+P1(f313(f313(f273(a883),f313(f313(f74(a883),x73551),x73552)),f313(f313(f74(a883),x73551),x73553)))
% 119.46/119.24 [7436]E(x74361,x74362)+~P1(f313(f313(f315(x74363),x74361),f313(f313(f295(x74363),x74362),f178(f890(x74363,a881)))))
% 119.46/119.24 [7437]E(x74371,x74372)+~P1(f313(f313(f315(x74373),x74371),f313(f313(f295(x74373),x74372),f178(f890(x74373,a881)))))
% 119.46/119.24 [7439]~E(f313(f313(f93(f890(x74391,a881)),x74392),x74393),f178(f890(x74391,a881)))+P1(f313(f313(f222(f890(x74391,a881)),x74392),f313(f72(f890(x74391,a881)),x74393)))
% 119.46/119.24 [7443]P1(f313(f313(f315(f890(x74431,a881)),x74432),f313(f294(x74431),x74433)))+~P1(f313(f313(f222(f890(x74431,a881)),x74432),x74433))
% 119.46/119.24 [7444]P1(f313(f313(f315(f890(x74441,a881)),x74442),f313(f294(x74441),x74443)))+~P1(f313(f313(f222(f890(x74441,a881)),x74442),x74443))
% 119.46/119.24 [7495]E(f313(f313(f139(x74951),f313(f313(f152(x74951),x74952),x74953)),f313(f313(f126(x74951),f313(a103,x74953)),x74952)),f313(f313(f126(x74951),x74953),x74952))+~P1(f313(f313(f223(a883),x74953),f313(f179(f885(x74951)),x74952)))
% 119.46/119.24 [7521]P1(f313(f313(f315(f889(x75211,x75211)),x75212),f293(x75211,x75213)))+~P1(f313(f313(f315(f889(x75211,x75211)),x75212),x75213))
% 119.46/119.24 [7529]~P1(f313(f313(f315(f890(x75291,a881)),x75292),f313(f294(x75291),x75293)))+P1(f313(f313(f222(f890(x75291,a881)),x75292),x75293))
% 119.46/119.24 [7530]~P1(f313(f313(f315(f890(x75301,a881)),x75302),f313(f294(x75301),x75303)))+P1(f313(f313(f222(f890(x75301,a881)),x75302),x75303))
% 119.46/119.24 [7576]P1(f313(f313(f222(f890(x75761,a881)),x75762),f30(f890(x75761,a881),x75763)))+~P1(f313(f313(f315(f890(x75761,a881)),x75762),x75763))
% 119.46/119.24 [7601]~P144(x76011)+E(f313(f313(f74(x76011),f313(f313(f232(x76011),f313(f72(x76011),f71(x76011))),x76012)),f313(f313(f232(x76011),x76013),x76012)),f313(f313(f232(x76011),f313(f72(x76011),x76013)),x76012))
% 119.46/119.24 [7623]E(f313(f313(f152(x76231),x76232),f313(f313(f3(a883),f313(f179(f885(x76231)),x76232)),f313(a103,x76233))),f313(f313(f152(x76231),f313(f156(x76231),x76232)),x76233))+~P1(f313(f313(f223(a883),x76233),f313(f179(f885(x76231)),x76232)))
% 119.46/119.24 [7640]~E(f313(f313(f93(f890(x76401,a881)),f629(x76403,x76402,x76401)),x76403),f178(f890(x76401,a881)))+E(f313(f313(f93(f890(x76401,a881)),f30(f890(x76401,a881),x76402)),x76403),f178(f890(x76401,a881)))
% 119.46/119.24 [7704]~P1(f313(f313(f315(x77043),x77042),f313(f160(x77043),x77041)))+P1(f313(f313(f223(a883),f648(x77041,x77042,x77043)),f313(f179(f885(x77043)),x77041)))
% 119.46/119.24 [7712]P1(f313(f313(f315(x77121),f313(f313(f152(x77121),x77122),x77123)),f313(f160(x77121),x77122)))+~P1(f313(f313(f223(a883),x77123),f313(f179(f885(x77121)),x77122)))
% 119.46/119.24 [7811]~P1(f313(x78112,f733(x78113,x78112,x78111)))+E(f313(f313(f126(x78111),f313(f179(f885(x78111)),f165(x78111,x78112,x78113))),x78113),f104(x78111))
% 119.46/119.24 [7824]P1(f313(f313(f222(f890(f885(x78241),a881)),f149(x78241,x78242)),f149(x78241,x78243)))+~P1(f313(f313(f222(f890(x78241,a881)),x78242),x78243))
% 119.46/119.24 [7825]P1(f313(f313(f222(f890(f885(x78251),a881)),f148(x78251,x78252)),f148(x78251,x78253)))+~P1(f313(f313(f222(f890(x78251,a881)),x78252),x78253))
% 119.46/119.24 [7851]E(f313(f313(f93(f890(x78511,a881)),f30(f890(x78511,a881),x78512)),x78513),f178(f890(x78511,a881)))+P1(f313(f313(f315(f890(x78511,a881)),f629(x78513,x78512,x78511)),x78512))
% 119.46/119.24 [7853]~P1(f313(f313(f315(f890(x78531,a881)),x78533),x78532))+P1(f313(f313(f222(f890(x78531,a881)),f31(f890(x78531,a881),x78532)),x78533))
% 119.46/119.24 [7855]E(f313(f313(f93(f890(x78551,a881)),x78552),x78553),f178(f890(x78551,a881)))+~P1(f313(f313(f222(f890(x78551,a881)),x78552),f313(f72(f890(x78551,a881)),x78553)))
% 119.46/119.24 [7905]E(f313(f313(f3(a883),f313(f313(f73(a883),f313(f153(a883),x79051)),x79052)),f313(f313(f152(a883),x79051),x79053)),f313(f153(a883),f313(f313(f147(a883,x79051),x79053),x79052)))+~P1(f313(f313(f223(a883),x79053),f313(f179(f885(a883)),x79051)))
% 119.46/119.24 [7955]P1(f313(f313(f222(a883),x79551),x79552))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x79553),x79551)),f313(f313(f73(a883),x79553),x79552)))
% 119.46/119.24 [7958]P1(f313(f313(f223(a883),x79581),x79582))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),x79583),x79581)),f313(f313(f73(a883),x79583),x79582)))
% 119.46/119.24 [7959]P1(f313(f313(f223(a883),x79591),x79592))+~P1(f313(f313(f223(a883),f313(f313(f74(a883),x79593),x79591)),f313(f313(f74(a883),x79593),x79592)))
% 119.46/119.24 [7960]P1(f313(f313(f223(a883),x79601),x79602))+~P1(f313(f313(f223(a883),f313(f313(f74(a883),x79601),x79603)),f313(f313(f74(a883),x79602),x79603)))
% 119.46/119.24 [7991]P1(f313(f313(f223(a883),f2(a883)),x79911))+~P1(f313(f313(f223(a883),f313(f313(f74(a883),x79912),x79911)),f313(f313(f74(a883),x79913),x79911)))
% 119.46/119.24 [7992]P1(f313(f313(f223(a883),f2(a883)),x79921))+~P1(f313(f313(f223(a883),f313(f313(f74(a883),x79921),x79922)),f313(f313(f74(a883),x79921),x79923)))
% 119.46/119.24 [8065]E(f235(x80651,x80652,x80653),x80652)+~P1(f313(f313(f222(f890(x80651,a881)),x80653),f313(f313(f295(x80651),x80652),f178(f890(x80651,a881)))))
% 119.46/119.24 [8115]~P1(f313(f125(x81151),x81153))+E(f313(f124(x81151,f313(f313(f10(a881,a881,x81151),a308),f313(a310,x81152))),x81153),f158(x81151,x81152,x81153))
% 119.46/119.24 [8138]E(f313(f313(f126(x81381),f313(f179(f885(x81381)),f165(x81381,x81382,x81383))),x81383),f104(x81381))+P1(f313(f313(f315(x81381),f733(x81383,x81382,x81381)),f313(f160(x81381),x81383)))
% 119.46/119.24 [8142]E(f313(f313(f122(x81421),f313(f313(f163(x81421),x81422),x81423)),f313(f313(f139(x81421),f313(f313(f152(x81421),x81423),x81422)),f104(x81421))),f313(f313(f163(x81421),f313(a103,x81422)),x81423))+~P1(f313(f313(f223(a883),x81422),f313(f179(f885(x81421)),x81423)))
% 119.46/119.24 [8209]E(f313(f124(x82091,f313(f313(f10(a881,a881,x82091),a308),f313(a310,x82092))),x82093),x82093)+P1(f313(f313(f315(x82091),x82092),f313(f160(x82091),x82093)))
% 119.46/119.24 [8215]P1(f313(f313(f222(f890(f890(x82151,a881),a881)),f236(x82151,x82152)),f236(x82151,x82153)))+~P1(f313(f313(f222(f890(x82151,a881)),x82152),x82153))
% 119.46/119.24 [8255]~P1(f313(f125(x82551),x82553))+P1(f313(f125(x82551),f313(f313(f313(f171(f885(x82551),f885(x82551)),x82552),f155(x82551)),x82553)))
% 119.46/119.24 [8260]~P1(f313(f313(f222(a883),x82602),x82603))+P1(f313(f313(f222(a883),f313(f313(f74(a883),f313(a103,x82601)),x82602)),f313(f313(f74(a883),f313(a103,x82601)),x82603)))
% 119.46/119.24 [8261]~P1(f313(f313(f223(a883),x82612),x82613))+P1(f313(f313(f223(a883),f313(f313(f74(a883),f313(a103,x82611)),x82612)),f313(f313(f74(a883),f313(a103,x82611)),x82613)))
% 119.46/119.24 [8281]P1(f313(f313(f222(f890(f890(x82811,a881),a881)),f313(f294(x82811),x82812)),f313(f294(x82811),x82813)))+~P1(f313(f313(f222(f890(x82811,a881)),x82812),x82813))
% 119.46/119.24 [8440]~P1(f313(f313(f222(f890(x84401,a881)),x84403),x84402))+P1(f313(f313(f222(f890(x84401,a881)),f313(f72(f890(x84401,a881)),x84402)),f313(f72(f890(x84401,a881)),x84403)))
% 119.46/119.24 [8441]~P1(f313(f313(f222(f890(x84411,a881)),x84413),x84412))+P1(f313(f313(f222(f890(x84411,a881)),f313(f72(f890(x84411,a881)),x84412)),f313(f72(f890(x84411,a881)),x84413)))
% 119.46/119.24 [8475]E(f313(f296(a883,a883,f313(f313(f9(a883,a883,a883),f3(a883)),x84751)),f313(f288(a883,x84752),x84753)),f313(f288(a883,f313(f313(f3(a883),x84752),x84751)),f313(f313(f3(a883),x84753),x84751)))+~P1(f313(f313(f223(a883),x84751),x84753))
% 119.46/119.24 [8501]~P83(x85011)+E(f313(f313(f73(x85011),x85012),f313(f130(x85011,x85011,f73(x85011),f2(x85011)),x85013)),f313(f130(x85011,x85011,f73(x85011),x85012),x85013))
% 119.46/119.24 [8581]~P90(x85811)+P1(f313(f313(f222(x85811),f313(f69(x85811),f313(f313(f73(x85811),x85812),x85813))),f313(f313(f73(x85811),f313(f69(x85811),x85812)),f313(f69(x85811),x85813))))
% 119.46/119.24 [8582]~P90(x85821)+P1(f313(f313(f222(x85821),f313(f69(x85821),f313(f313(f3(x85821),x85822),x85823))),f313(f313(f73(x85821),f313(f69(x85821),x85822)),f313(f69(x85821),x85823))))
% 119.46/119.24 [8593]E(f313(f313(f73(a1),f313(f313(f74(a1),x85931),f38(a1,f313(f313(f29(a1),x85932),x85931),x85933))),f38(a1,x85932,x85931)),f38(a1,x85932,f313(f313(f74(a1),x85931),x85933)))+~P1(f313(f313(f223(a1),f2(a1)),x85933))
% 119.46/119.24 [8599]E(f313(f313(f122(x85991),f313(f313(f163(x85991),x85992),x85993)),f313(f313(f139(x85991),f313(f129(x85991),f313(f313(f126(x85991),x85992),x85993))),f104(x85991))),f313(f313(f163(x85991),f313(a103,x85992)),x85993))+~P1(f313(f313(f223(a883),x85992),f313(f179(f885(x85991)),x85993)))
% 119.46/119.24 [8618]E(f313(f256(x86181,f313(f313(f142(x86181,f889(a90,x86181)),f313(f240(a90,x86181),f71(a90))),x86182)),f313(a5,x86183)),f313(f313(f152(x86181),x86182),x86183))+~P1(f313(f313(f223(a883),x86183),f313(f179(f885(x86181)),x86182)))
% 119.46/119.24 [8682]P1(f313(f313(f315(f889(x86821,x86821)),x86822),f313(f313(f275(x86821,x86821,x86821),x86823),f293(x86821,x86823))))+~P1(f313(f313(f315(f889(x86821,x86821)),x86822),x86823))
% 119.46/119.24 [8699]P1(f313(f313(f222(a883),x86991),x86992))+~P1(f313(f313(f222(a883),f313(f313(f74(a883),f313(a103,x86993)),x86991)),f313(f313(f74(a883),f313(a103,x86993)),x86992)))
% 119.46/119.24 [8700]P1(f313(f313(f223(a883),x87001),x87002))+~P1(f313(f313(f223(a883),f313(f313(f74(a883),f313(a103,x87003)),x87001)),f313(f313(f74(a883),f313(a103,x87003)),x87002)))
% 119.46/119.24 [8715]P1(f313(f313(f222(f890(x87151,a881)),x87152),x87153))+~P1(f313(f313(f222(f890(x87151,a881)),f313(f72(f890(x87151,a881)),x87153)),f313(f72(f890(x87151,a881)),x87152)))
% 119.46/119.24 [8732]P1(f313(f125(x87321),x87322))+~P1(f313(f125(x87321),f313(f313(f313(f171(f885(x87321),f885(x87321)),x87323),f155(x87321)),x87322)))
% 119.46/119.24 [8799]E(f313(f271(x87991,x87991,f293(x87991,x87992)),x87993),x87993)+~P1(f313(f313(f222(f890(x87991,a881)),f313(f271(x87991,x87991,x87992),x87993)),x87993))
% 119.46/119.24 [8844]~P4(x88441)+P13(x88441,f313(f124(x88441,f313(f313(f9(x88441,x88441,a881),a310),f313(x88442,x88443))),x88443))
% 119.46/119.24 [8849]~P1(f313(f313(f222(a883),x88491),x88492))+P1(f313(f313(f222(a883),x88491),f313(f130(a883,a883,f73(a883),x88492),x88493)))
% 119.46/119.24 [8935]~P1(f313(f313(f315(f889(x89351,x89351)),x89352),f293(x89351,x89353)))+P1(f313(f313(f315(f889(x89351,x89351)),x89352),f313(f313(f171(f889(x89351,x89351),a881),f611(x89353,x89352,x89351)),x89353)))
% 119.46/119.24 [9014]~P83(x90141)+E(f313(f313(f73(x90141),x90142),f313(f130(x90141,x90141,f313(f9(x90141,x90141,x90141),f73(x90141)),f2(x90141)),f313(f156(x90141),x90143))),f313(f130(x90141,x90141,f73(x90141),x90142),x90143))
% 119.46/119.24 [9284]P57(x92841,x92842,x92843)+P1(f313(f313(f315(f889(x92841,x92842)),f313(f313(f240(x92841,x92842),f601(x92843,x92842,x92841)),f584(x92843,x92842,x92841))),x92843))
% 119.46/119.24 [9285]P57(x92851,x92852,x92853)+P1(f313(f313(f315(f889(x92851,x92852)),f313(f313(f240(x92851,x92852),f601(x92853,x92852,x92851)),f583(x92853,x92852,x92851))),x92853))
% 119.46/119.24 [9354]~P1(f313(f313(f315(f889(x93541,x93541)),x93542),f313(f313(f275(x93541,x93541,x93541),x93543),f293(x93541,x93543))))+P1(f313(f313(f315(f889(x93541,x93541)),x93542),f313(f313(f171(f889(x93541,x93541),a881),f612(x93543,x93542,x93541)),x93543)))
% 119.46/119.24 [9355]~P1(f313(x93551,f313(f313(f152(x93552),x93553),f313(f179(f885(x93552)),f165(x93552,x93551,x93553)))))+~P1(f313(f313(f223(a883),f313(f179(f885(x93552)),f165(x93552,x93551,x93553))),f313(f179(f885(x93552)),x93553)))
% 119.46/119.24 [9445]~P1(f313(f313(f222(f890(x94451,a881)),x94452),x94453))+P1(f313(f313(f222(f890(x94451,a881)),f313(f313(f9(x94451,f890(x94451,a881),a881),f315(x94451)),x94452)),f313(f313(f9(x94451,f890(x94451,a881),a881),f315(x94451)),x94453)))
% 119.46/119.24 [9506]~P1(f313(f313(f315(f889(f890(x95061,a881),f890(x95061,a881))),f313(f313(f240(f890(x95061,a881),f890(x95061,a881)),x95062),x95063)),f300(x95061)))+P1(f313(f313(f223(f890(x95061,a881)),x95062),x95063))
% 119.46/119.24 [9534]P58(x95341,x95342,x95343)+~P1(f313(f313(f315(f889(x95341,x95341)),f313(f313(f240(x95341,x95341),f604(x95343,x95342,x95341)),f603(x95343,x95342,x95341))),x95343))
% 119.46/119.24 [9535]P58(x95351,x95352,x95353)+~P1(f313(f313(f315(f889(x95351,x95351)),f313(f313(f240(x95351,x95351),f603(x95353,x95352,x95351)),f604(x95353,x95352,x95351))),x95353))
% 119.46/119.24 [9568]~P1(f313(f313(f315(f889(f885(x95681),f885(x95681))),f313(f313(f240(f885(x95681),f885(x95681)),x95682),x95682)),f135(x95681,x95683)))+P1(f313(f313(f315(f889(x95681,x95681)),f313(f313(f240(x95681,x95681),f668(x95682,x95683,x95681)),f668(x95682,x95683,x95681))),x95683))
% 119.46/119.24 [9616]P1(f313(f313(f222(f890(x96161,a881)),x96162),x96163))+~P1(f313(f313(f222(f890(x96161,a881)),f313(f313(f9(x96161,f890(x96161,a881),a881),f315(x96161)),x96162)),f313(f313(f9(x96161,f890(x96161,a881),a881),f315(x96161)),x96163)))
% 119.46/119.24 [9700]E(f313(f313(f3(a883),f313(f313(f8(a883,a883),x97001),f313(f268(a883),x97002))),f313(f313(f8(a883,a883),x97003),f313(f268(a883),x97002))),f313(f313(f8(a883,a883),f313(f313(f20(a883,a883,a883),f313(f313(f10(a883,f890(a883,a883),a883),f3(a883)),x97001)),x97003)),f313(f268(a883),x97002)))+~P1(f313(f313(f222(a883),f313(x97003,f876(x97002,x97001,x97003))),f313(x97001,f876(x97002,x97001,x97003))))
% 119.46/119.24 [5616]~P81(x56161)+E(f313(f313(f73(x56161),f313(f313(f3(x56161),x56162),x56163)),x56163),x56162)
% 119.46/119.24 [5617]~P81(x56171)+E(f313(f313(f3(x56171),f313(f313(f73(x56171),x56172),x56173)),x56173),x56172)
% 119.46/119.24 [5851]~P81(x58511)+E(f313(f313(f73(x58511),x58512),f313(f313(f73(x58511),f313(f72(x58511),x58512)),x58513)),x58513)
% 119.46/119.24 [5939]~P80(x59391)+E(f313(f313(f74(x59391),f313(f313(f232(x59391),x59392),x59393)),x59392),f313(f313(f232(x59391),x59392),f313(a103,x59393)))
% 119.46/119.24 [5940]~P120(x59401)+E(f313(f313(f74(x59401),f313(f313(f232(x59401),x59402),x59403)),x59402),f313(f313(f232(x59401),x59402),f313(a103,x59403)))
% 119.46/119.24 [6170]~P115(x61701)+E(f313(f69(x61701),f313(f313(f232(x61701),f313(f72(x61701),x61702)),x61703)),f313(f69(x61701),f313(f313(f232(x61701),x61702),x61703)))
% 119.46/119.24 [6214]~P80(x62141)+E(f313(f313(f74(x62141),f313(f313(f232(x62141),x62142),x62143)),x62142),f313(f313(f74(x62141),x62142),f313(f313(f232(x62141),x62142),x62143)))
% 119.46/119.24 [6277]E(f313(f313(f3(a90),f313(f313(f73(a90),x62771),x62772)),x62773),f260(x62771,x62772,x62773))+~P1(f313(f313(f223(a90),x62772),x62773))
% 119.46/119.24 [6301]~E(f313(f313(f126(x63011),x63013),x63012),f104(x63011))+P1(f313(f313(f222(a883),f313(f179(f885(x63011)),x63012)),x63013))
% 119.46/119.24 [6450]E(f313(f313(f74(a883),f313(f95(a883),x64501)),f313(f313(f74(a883),f313(f95(a883),x64502)),x64503)),f2(a883))+~P1(f313(f313(f223(a1),x64501),a76))
% 119.46/119.24 [6468]~P70(x64681)+E(f313(f313(f232(x64681),f313(f313(f277(x64681),f71(x64681)),x64682)),x64683),f313(f313(f277(x64681),f71(x64681)),f313(f313(f232(x64681),x64682),x64683)))
% 119.46/119.24 [6551]E(f313(f313(f3(a883),f313(f313(f73(a883),x65511),x65512)),x65513),f313(f313(f73(a883),x65511),f313(f313(f3(a883),x65512),x65513)))+~P1(f313(f313(f222(a883),x65513),x65512))
% 119.46/119.24 [6552]E(f313(f313(f3(a883),f313(f313(f73(a883),x65521),x65522)),x65523),f313(f313(f3(a883),x65521),f313(f313(f3(a883),x65523),x65522)))+~P1(f313(f313(f222(a883),x65522),x65523))
% 119.46/119.24 [6553]E(f313(f313(f3(a883),f313(f313(f73(a883),x65531),x65532)),x65533),f313(f313(f73(a883),x65531),f313(f313(f3(a883),x65532),x65533)))+~P1(f313(f313(f222(a883),x65533),x65532))
% 119.46/119.24 [6592]~P4(x65921)+P1(f313(f313(f222(x65921),f313(f313(f227(x65921),x65922),x65923)),x65923))
% 119.46/119.24 [6593]~P4(x65931)+P1(f313(f313(f222(x65931),f313(f313(f227(x65931),x65932),x65933)),x65932))
% 119.46/119.24 [6594]~P103(x65941)+P1(f313(f313(f222(x65941),f313(f313(f93(x65941),x65942),x65943)),x65943))
% 119.46/119.24 [6595]~P108(x65951)+P1(f313(f313(f222(x65951),f313(f313(f93(x65951),x65952),x65953)),x65953))
% 119.46/119.24 [6596]~P103(x65961)+P1(f313(f313(f222(x65961),f313(f313(f93(x65961),x65962),x65963)),x65962))
% 119.46/119.24 [6597]~P108(x65971)+P1(f313(f313(f222(x65971),f313(f313(f93(x65971),x65972),x65973)),x65972))
% 119.46/119.24 [6611]E(f313(f313(f29(a1),f313(f313(f29(a1),x66111),x66112)),x66113),f313(f313(f29(a1),x66111),f313(f313(f74(a1),x66112),x66113)))+~P1(f313(f313(f223(a1),f2(a1)),x66113))
% 119.46/119.24 [6671]~P120(x66711)+E(f313(f313(f73(x66711),f313(f313(f74(x66711),x66712),x66713)),x66713),f313(f313(f74(x66711),f313(f313(f73(x66711),x66712),f71(x66711))),x66713))
% 119.46/119.24 [6672]~P98(x66721)+E(f313(f313(f74(x66721),f313(f72(x66721),f313(f95(x66721),x66722))),x66723),f313(f313(f74(x66721),f313(f95(x66721),f313(f72(a1),x66722))),x66723))
% 119.46/119.24 [6750]~P83(x67501)+E(f313(f153(x67501),f313(f313(f142(x67502,x67501),f313(f18(x67501,x67502),f2(x67501))),x67503)),f2(x67501))
% 119.46/119.24 [6768]E(f313(f313(f73(a883),f313(f95(a883),x67681)),f313(f313(f73(a883),f313(f95(a883),x67682)),x67683)),f313(f313(f73(a883),f313(f95(a883),x67682)),x67683))+~P1(f313(a183,f313(f95(a1),x67681)))
% 119.46/119.24 [6783]~P5(x67831)+E(f31(x67831,f313(f313(f295(x67831),x67832),f313(f313(f295(x67831),x67833),f178(f890(x67831,a881))))),f313(f313(f93(x67831),x67832),x67833))
% 119.46/119.24 [6784]~P5(x67841)+E(f30(x67841,f313(f313(f295(x67841),x67842),f313(f313(f295(x67841),x67843),f178(f890(x67841,a881))))),f313(f313(f92(x67841),x67842),x67843))
% 119.46/119.24 [6808]E(f313(f313(f163(x68081),x68082),x68083),x68083)+~P1(f313(f313(f222(a883),f313(f179(f885(x68081)),x68083)),x68082))
% 119.46/119.24 [6819]E(f313(f313(f126(x68191),x68192),x68193),f104(x68191))+~P1(f313(f313(f222(a883),f313(f179(f885(x68191)),x68193)),x68192))
% 119.46/119.24 [6820]E(f313(f313(f126(x68201),x68202),x68203),f104(x68201))+~P1(f313(f313(f222(a883),f313(f179(f885(x68201)),x68203)),x68202))
% 119.46/119.24 [6831]E(f313(f313(f3(a883),f313(f313(f73(a883),x68311),x68312)),x68313),f313(f313(f73(a883),f313(f313(f3(a883),x68311),x68313)),x68312))+~P1(f313(f313(f222(a883),x68313),x68311))
% 119.46/119.24 [6832]E(f313(f313(f3(a883),f313(f313(f73(a883),x68321),x68322)),x68323),f313(f313(f73(a883),f313(f313(f3(a883),x68321),x68323)),x68322))+~P1(f313(f313(f222(a883),x68323),x68321))
% 119.46/119.24 [6846]~P1(f313(f313(f223(a883),x68461),x68463))+P1(f313(f313(f223(a883),f313(f313(f3(a883),x68461),x68462)),x68463))
% 119.46/119.24 [6873]~P4(x68731)+E(f158(x68731,x68732,f313(f313(f136(x68731,x68731,f7(x68731)),x68732),x68733)),x68733)
% 119.46/119.24 [6973]E(f313(f313(f3(a883),f313(f313(f73(a883),x69731),x69732)),f313(a103,x69733)),f313(f313(f3(a883),x69731),f313(a103,f313(f313(f3(a883),x69733),x69732))))+~P1(f313(f313(f222(a883),x69732),x69733))
% 119.46/119.24 [6974]~P115(x69741)+P1(f313(f313(f222(x69741),f2(x69741)),f313(f313(f232(x69741),f313(f69(x69741),x69742)),x69743)))
% 119.46/119.24 [7066]~P1(f313(f54(x70661),x70662))+P1(f313(f54(x70661),f313(f313(f3(f890(x70661,a881)),x70662),x70663)))
% 119.46/119.24 [7067]~P1(f313(f54(x70671),x70673))+P1(f313(f54(x70671),f313(f313(f93(f890(x70671,a881)),x70672),x70673)))
% 119.46/119.24 [7068]~P1(f313(f54(x70681),x70682))+P1(f313(f54(x70681),f313(f313(f93(f890(x70681,a881)),x70682),x70683)))
% 119.46/119.24 [7210]~P36(x72101,x72103)+P36(x72101,f313(f313(f93(f890(f889(x72101,x72101),a881)),x72102),x72103))
% 119.46/119.24 [7211]~P36(x72111,x72112)+P36(x72111,f313(f313(f93(f890(f889(x72111,x72111),a881)),x72112),x72113))
% 119.46/119.24 [7333]~P103(x73331)+E(f15(x73331,f313(f160(x73331),f313(f313(f139(x73331),x73332),x73333))),f313(f130(x73331,x73331,f92(x73331),x73332),x73333))
% 119.46/119.24 [7334]~P4(x73341)+E(f16(x73341,f313(f160(x73341),f313(f313(f139(x73341),x73342),x73343))),f313(f130(x73341,x73341,f177(x73341),x73342),x73343))
% 119.46/119.24 [7335]~P4(x73351)+E(f17(x73351,f313(f160(x73351),f313(f313(f139(x73351),x73352),x73353))),f313(f130(x73351,x73351,f227(x73351),x73352),x73353))
% 119.46/119.24 [7336]~P103(x73361)+E(f12(x73361,f313(f160(x73361),f313(f313(f139(x73361),x73362),x73363))),f313(f130(x73361,x73361,f93(x73361),x73362),x73363))
% 119.46/119.24 [7337]~P1(f313(f313(f273(a1),x73371),x73372))+P1(f313(f313(f273(a1),x73371),f313(f313(f73(a1),x73372),f313(f313(f74(a1),x73371),x73373))))
% 119.46/119.24 [7403]~P1(f313(f54(x74031),x74032))+P1(f313(f313(f222(a883),f313(f28(x74031),x74032)),f313(f28(x74031),f313(f313(f295(x74031),x74033),x74032))))
% 119.46/119.24 [7410]E(f313(f313(f92(f890(a883,a881)),f313(f288(a883,x74101),x74102)),f313(f288(a883,x74102),f313(f313(f73(a883),x74102),x74103))),f313(f288(a883,x74101),f313(f313(f73(a883),x74102),x74103)))+~P1(f313(f313(f222(a883),x74101),x74102))
% 119.46/119.24 [7417]P1(f313(f313(f222(a883),x74171),x74172))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x74173),x74171)),x74172))
% 119.46/119.24 [7418]P1(f313(f313(f222(a883),x74181),x74182))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x74181),x74183)),x74182))
% 119.46/119.24 [7419]P1(f313(f313(f222(a883),x74191),x74192))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x74193),x74191)),x74192))
% 119.46/119.24 [7420]P1(f313(f313(f222(a883),x74201),x74202))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x74201),x74203)),x74202))
% 119.46/119.24 [7421]P1(f313(f313(f223(a883),x74211),x74212))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),x74211),x74213)),x74212))
% 119.46/119.24 [7463]~P4(x74631)+E(f13(x74631,f177(x74631),f313(f160(x74631),f313(f313(f139(x74631),x74632),x74633))),f313(f130(x74631,x74631,f177(x74631),x74632),x74633))
% 119.46/119.24 [7464]~P4(x74641)+E(f14(x74641,f227(x74641),f313(f160(x74641),f313(f313(f139(x74641),x74642),x74643))),f313(f130(x74641,x74641,f227(x74641),x74642),x74643))
% 119.46/119.24 [7468]~E(x74682,f178(f890(f889(x74681,x74681),a881)))+P1(f313(f313(f222(f890(f889(x74681,x74681),a881)),x74682),x74683))
% 119.46/119.24 [7569]E(f313(f313(f92(f890(x75691,a881)),x75692),f313(f313(f3(f890(x75691,a881)),x75693),x75692)),x75693)+~P1(f313(f313(f222(f890(x75691,a881)),x75692),x75693))
% 119.46/119.24 [7572]~P1(f313(f313(f222(a883),x75721),f313(f313(f73(a883),x75723),x75722)))+P1(f313(f313(f222(a883),f313(f313(f3(a883),x75721),x75722)),x75723))
% 119.46/119.24 [7573]~P1(f313(f313(f223(a883),x75731),f313(f313(f3(a883),x75733),x75732)))+P1(f313(f313(f223(a883),f313(f313(f73(a883),x75731),x75732)),x75733))
% 119.46/119.24 [7630]E(x76301,f104(x76302))+E(f313(f129(x76302),f313(f313(f313(f171(f885(x76302),f885(x76302)),x76303),f155(x76302)),x76301)),f313(f313(f152(x76302),x76301),f38(a883,x76303,f313(f179(f885(x76302)),x76301))))
% 119.46/119.24 [7639]E(f313(f313(f295(x76391),x76392),f313(f313(f3(f890(x76391,a881)),x76393),f313(f313(f295(x76391),x76392),f178(f890(x76391,a881))))),x76393)+~P1(f313(f313(f315(x76391),x76392),x76393))
% 119.46/119.24 [7802]P1(f313(f313(f222(a883),x78021),f313(f313(f73(a883),x78022),x78023)))+~P1(f313(f313(f222(a883),f313(f313(f3(a883),x78021),x78023)),x78022))
% 119.46/119.24 [7803]P1(f313(f313(f223(a883),x78031),f313(f313(f3(a883),x78032),x78033)))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),x78031),x78033)),x78032))
% 119.46/119.24 [7828]P1(f313(f54(x78281),x78282))+~P1(f313(f54(x78281),f313(f313(f92(f890(x78281,a881)),x78283),x78282)))
% 119.46/119.24 [7829]P1(f313(f54(x78291),x78292))+~P1(f313(f54(x78291),f313(f313(f92(f890(x78291,a881)),x78292),x78293)))
% 119.46/119.24 [7903]~P45(x79031,x79033)+P1(f313(f313(f315(f889(x79031,x79031)),f313(f313(f240(x79031,x79031),x79032),x79032)),x79033))
% 119.46/119.24 [7954]P1(f313(f313(f273(a1),x79541),x79542))+~P1(f313(f313(f273(a1),x79541),f313(f313(f73(a1),x79542),f313(f313(f74(a1),x79541),x79543))))
% 119.46/119.24 [8037]E(f313(f313(f152(a883),f127(a883,f313(f288(a883,x80371),x80372))),x80373),f313(f313(f73(a883),x80371),x80373))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),x80371),x80373)),x80372))
% 119.46/119.24 [8104]E(f313(f313(f163(a883),x81041),f127(a883,f313(f288(a883,x81042),x81043))),f127(a883,f313(f288(a883,x81042),f313(f313(f73(a883),x81042),x81041))))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x81042),x81041)),x81043))
% 119.46/119.24 [8159]~P98(x81591)+E(f313(f313(f232(x81591),x81592),f313(f95(a883),f313(f313(f73(a1),x81593),x81593))),f313(f313(f79(x81591,x81591),f313(f313(f232(x81591),x81592),f313(f95(a883),x81593))),f313(f313(f20(x81591,x81591,x81591),f74(x81591)),f7(x81591))))
% 119.46/119.24 [8422]E(f313(f313(f122(x84221),f313(f313(f163(x84221),x84222),x84223)),f313(f313(f139(x84221),f313(f313(f152(x84221),x84223),x84222)),f313(f313(f126(x84221),f313(a103,x84222)),x84223))),x84223)+~P1(f313(f313(f223(a883),x84222),f313(f179(f885(x84221)),x84223)))
% 119.46/119.24 [8429]P1(f313(f313(f222(f890(x84291,a881)),f301(x84291,x84292)),f301(x84291,x84293)))+~P1(f313(f313(f222(f890(x84291,f890(x84291,a881))),x84293),x84292))
% 119.46/119.24 [8430]~P58(x84301,x84302,x84303)+P58(x84301,x84302,f313(f313(f3(f890(f889(x84301,x84301),a881)),x84303),f293(x84301,f178(f890(f889(x84301,x84301),a881)))))
% 119.46/119.24 [8449]P1(f313(f313(f222(f890(x84491,a881)),f302(x84491,x84492)),f302(x84491,x84493)))+~P1(f313(f313(f222(f890(f889(x84491,x84491),a881)),x84493),x84492))
% 119.46/119.24 [8456]~P129(x84561)+P1(f313(f313(f222(x84561),f2(x84561)),f313(f313(f73(x84561),f313(f313(f74(x84561),x84562),x84562)),f313(f313(f74(x84561),x84563),x84563))))
% 119.46/119.24 [8485]~P98(x84851)+E(f313(f313(f232(x84851),f313(f95(x84851),x84852)),f313(f95(a883),f313(f313(f73(a1),x84853),x84853))),f313(f313(f79(x84851,x84851),f313(f313(f232(x84851),f313(f95(x84851),x84852)),f313(f95(a883),x84853))),f313(f313(f20(x84851,x84851,x84851),f74(x84851)),f7(x84851))))
% 119.46/119.24 [8490]P1(f313(f313(f222(f890(x84901,a881)),f313(f267(x84901),x84902)),f313(f267(x84901),x84903)))+~P1(f313(f313(f222(f890(f889(x84901,x84901),a881)),x84902),x84903))
% 119.46/119.24 [8521]~P56(x85211,x85212)+~P1(f313(f313(f315(f889(x85211,x85211)),f313(f313(f240(x85211,x85211),x85213),x85213)),x85212))
% 119.46/119.24 [8522]~P36(x85221,x85222)+~P1(f313(f313(f315(f889(x85221,x85221)),f313(f313(f240(x85221,x85221),x85223),x85223)),x85222))
% 119.46/119.24 [8523]~P36(x85231,x85232)+~P1(f313(f313(f315(f889(x85231,x85231)),f313(f313(f240(x85231,x85231),x85233),x85233)),x85232))
% 119.46/119.24 [8565]~E(x85652,x85653)+P1(f313(f313(f315(f889(x85651,x85651)),f313(f313(f240(x85651,x85651),x85652),x85653)),f293(x85651,f178(f890(f889(x85651,x85651),a881)))))
% 119.46/119.24 [8583]P1(f313(f313(f222(f890(x85831,a881)),f31(f890(x85831,a881),x85832)),f31(f890(x85831,a881),x85833)))+~P1(f313(f313(f222(f890(f890(x85831,a881),a881)),x85833),x85832))
% 119.46/119.24 [8584]P1(f313(f313(f222(f890(x85841,a881)),f30(f890(x85841,a881),x85842)),f30(f890(x85841,a881),x85843)))+~P1(f313(f313(f222(f890(f890(x85841,a881),a881)),x85842),x85843))
% 119.46/119.24 [8637]~P8(x86371,x86373,x86372)+P1(f313(f313(f222(f890(f889(x86371,x86371),a881)),x86372),f313(f313(f242(x86371,x86371),x86373),f313(f18(f890(x86371,a881),x86371),x86373))))
% 119.46/119.24 [8638]~P55(x86381,x86383,x86382)+P1(f313(f313(f222(f890(f889(x86381,x86381),a881)),x86382),f313(f313(f242(x86381,x86381),x86383),f313(f18(f890(x86381,a881),x86381),x86383))))
% 119.46/119.24 [8683]~P90(x86831)+P1(f313(f313(f222(x86831),f313(f313(f3(x86831),f313(f69(x86831),x86832)),f313(f69(x86831),x86833))),f313(f69(x86831),f313(f313(f3(x86831),x86833),x86832))))
% 119.46/119.24 [8684]~P90(x86841)+P1(f313(f313(f222(x86841),f313(f313(f3(x86841),f313(f69(x86841),x86842)),f313(f69(x86841),x86843))),f313(f69(x86841),f313(f313(f3(x86841),x86842),x86843))))
% 119.46/119.24 [8713]P1(f313(f313(f222(f890(f889(x87131,x87131),a881)),f293(x87131,x87132)),f293(x87131,x87133)))+~P1(f313(f313(f222(f890(f889(x87131,x87131),a881)),x87132),x87133))
% 119.46/119.24 [8808]~P24(x88082,x88081,x88083,f230(f890(x88082,a881)))+E(f313(f66(x88081,x88082,x88082,f85(x88082,x88081,f230(f890(x88082,a881)),x88083)),x88083),f25(x88082))
% 119.46/119.24 [8809]~P24(x88092,x88091,x88093,f230(f890(x88092,a881)))+E(f313(f66(x88091,x88092,x88092,f85(x88092,x88091,f230(f890(x88092,a881)),x88093)),x88093),f25(x88092))
% 119.46/119.24 [8867]P58(x88671,x88672,x88673)+~P58(x88671,x88672,f313(f313(f3(f890(f889(x88671,x88671),a881)),x88673),f293(x88671,f178(f890(f889(x88671,x88671),a881)))))
% 119.46/119.24 [8885]P1(f313(f313(f222(f890(f889(f885(x88851),f885(x88851)),a881)),f145(x88851,x88852)),f145(x88851,x88853)))+~P1(f313(f313(f222(f890(f889(x88851,x88851),a881)),x88852),x88853))
% 119.46/119.24 [8886]P1(f313(f313(f222(f890(f889(f885(x88861),f885(x88861)),a881)),f146(x88861,x88862)),f146(x88861,x88863)))+~P1(f313(f313(f222(f890(f889(x88861,x88861),a881)),x88862),x88863))
% 119.46/119.24 [8907]~P55(x89071,x89073,x89072)+P1(f313(f313(f222(f890(f889(x89071,x89071),a881)),x89072),f313(f313(f275(x89071,x89071,x89071),f313(f272(x89071,x89071),x89072)),x89072)))
% 119.46/119.24 [8945]~P1(f313(f125(x89451),x89453))+P1(f313(f125(x89451),f313(f313(f126(x89451),f313(f179(f885(x89451)),f165(x89451,x89452,x89453))),x89453)))
% 119.46/119.24 [8962]~P1(f313(f125(x89621),x89622))+E(f313(f124(x89621,f313(f313(f9(x89621,f890(x89621,a881),a881),f315(x89621)),f313(f160(x89621),f164(x89621,x89622,x89623)))),x89622),f164(x89621,x89622,x89623))
% 119.46/119.24 [9012]E(x90121,x90122)+~P1(f313(f313(f315(f889(x90123,x90123)),f313(f313(f240(x90123,x90123),x90121),x90122)),f293(x90123,f178(f890(f889(x90123,x90123),a881)))))
% 119.46/119.24 [9097]P1(f313(f313(f315(x90971),x90972),f302(x90971,x90973)))+P1(f313(f313(f315(f889(x90971,x90971)),f313(f313(f240(x90971,x90971),f490(x90973,x90972,x90971)),x90972)),x90973))
% 119.46/119.24 [9098]P1(f313(f313(f315(x90981),x90982),f302(x90981,x90983)))+P1(f313(f313(f315(f889(x90981,x90981)),f313(f313(f240(x90981,x90981),f588(x90983,x90982,x90981)),x90982)),x90983))
% 119.46/119.24 [9099]P1(f313(f313(f315(x90991),x90992),f302(x90991,x90993)))+P1(f313(f313(f315(f889(x90991,x90991)),f313(f313(f240(x90991,x90991),f589(x90993,x90992,x90991)),x90992)),x90993))
% 119.46/119.24 [9133]P24(x91331,x91332,x91333,f230(f890(x91331,a881)))+~E(f313(f66(x91332,x91331,x91331,f85(x91331,x91332,f230(f890(x91331,a881)),x91333)),x91333),f25(x91331))
% 119.46/119.24 [9187]~P1(f313(f313(f315(f885(x91871)),x91873),f149(x91871,x91872)))+P1(f313(f148(x91871,f313(f313(f9(x91871,f890(x91871,a881),a881),f315(x91871)),x91872)),x91873))
% 119.46/119.24 [9210]P1(f313(x92103,x92102))+E(f313(f250(x92101),f313(f313(f20(x92101,a881,a881),f313(f313(f10(a881,f890(a881,a881),x92101),a311),f313(a310,x92102))),x92103)),f178(f890(x92101,a881)))
% 119.46/119.24 [9227]~P90(x92271)+P1(f313(f313(f222(x92271),f313(f69(x92271),f313(f313(f3(x92271),f313(f69(x92271),x92272)),f313(f69(x92271),x92273)))),f313(f69(x92271),f313(f313(f3(x92271),x92272),x92273))))
% 119.46/119.24 [9242]~P1(f313(x92423,x92422))+E(f313(f250(x92421),f313(f313(f20(x92421,a881,a881),f313(f313(f10(a881,f890(a881,a881),x92421),a311),f313(a310,x92422))),x92423)),f313(f313(f295(x92421),x92422),f178(f890(x92421,a881))))
% 119.46/119.24 [9250]~P1(f313(f313(f315(f890(x92501,a881)),x92503),f313(f294(x92501),x92502)))+P1(f313(f236(x92501,f313(f313(f9(x92501,f890(x92501,a881),a881),f315(x92501)),x92502)),x92503))
% 119.46/119.24 [9283]P36(x92831,x92832)+P1(f313(f313(f315(f889(x92831,x92831)),f313(f313(f240(x92831,x92831),f313(f554(x92832,x92831),f313(a103,x92833))),f313(f554(x92832,x92831),x92833))),x92832))
% 119.46/119.24 [9380]~P1(f313(f125(x93801),x93803))+P1(f313(f125(x93801),f313(f124(x93801,f313(f313(f10(a881,a881,x93801),a308),f313(a310,x93802))),x93803)))
% 119.46/119.24 [9423]P1(f313(f313(f315(f885(x94231)),x94232),f149(x94231,x94233)))+~P1(f313(f148(x94231,f313(f313(f9(x94231,f890(x94231,a881),a881),f315(x94231)),x94233)),x94232))
% 119.46/119.24 [9437]P1(f313(f313(f315(f890(x94371,a881)),x94372),f313(f294(x94371),x94373)))+~P1(f313(f236(x94371,f313(f313(f9(x94371,f890(x94371,a881),a881),f315(x94371)),x94373)),x94372))
% 119.46/119.24 [9502]P1(f313(f313(f315(x95021),f313(f256(x95021,x95022),x95023)),f313(f160(x95021),f313(f313(f142(f889(a90,x95021),x95021),f244(a90,x95021)),x95022))))+~P1(f313(f313(f223(a90),x95023),f313(f153(a90),f313(f313(f142(f889(a90,x95021),a90),f239(a90,x95021)),x95022))))
% 119.46/119.24 [9550]P1(f313(f313(f222(f890(f889(f885(x95501),f885(x95501)),a881)),f146(x95501,x95502)),f313(f313(f242(f885(x95501),f885(x95501)),f149(x95501,x95503)),f313(f18(f890(f885(x95501),a881),f885(x95501)),f149(x95501,x95503)))))+~P1(f313(f313(f222(f890(f889(x95501,x95501),a881)),x95502),f313(f313(f242(x95501,x95501),x95503),f313(f18(f890(x95501,a881),x95501),x95503))))
% 119.46/119.24 [9571]P1(f313(f313(f315(x95711),f313(f239(x95711,f889(a90,a90)),f313(f254(x95711,x95712),x95713))),f313(f160(x95711),f313(f313(f142(f889(a90,x95711),x95711),f244(a90,x95711)),x95712))))+~P1(f313(f313(f223(a90),f2(a90)),f313(f153(a90),f313(f313(f142(f889(a90,x95711),a90),f239(a90,x95711)),x95712))))
% 119.46/119.24 [9584]~P1(f313(f313(f222(f890(f889(x95841,x95841),a881)),x95842),f313(f313(f242(x95841,x95841),x95843),f313(f18(f890(x95841,a881),x95841),x95843))))+P1(f313(f313(f222(f890(f889(x95841,x95841),a881)),f313(f313(f275(x95841,x95841,x95841),x95842),f293(x95841,x95842))),f313(f313(f242(x95841,x95841),x95843),f313(f18(f890(x95841,a881),x95841),x95843))))
% 119.46/119.24 [9894]~P36(x98941,x98942)+~P1(f313(f313(f315(f889(x98941,x98941)),f313(f313(f240(x98941,x98941),f313(x98943,f313(a103,f555(x98942,x98941,x98943)))),f313(x98943,f555(x98942,x98941,x98943)))),x98942))
% 119.46/119.24 [9895]~P36(x98951,x98952)+~P1(f313(f313(f315(f889(x98951,x98951)),f313(f313(f240(x98951,x98951),f313(x98953,f313(a103,f599(x98953,x98952,x98951)))),f313(x98953,f599(x98953,x98952,x98951)))),x98952))
% 119.46/119.24 [10149]P1(f313(f313(f222(f890(f889(f890(x101491,a881),f890(x101491,a881)),a881)),f313(f313(f275(f890(x101491,a881),f890(x101491,a881),f890(x101491,a881)),f306(x101491,x101492)),f313(f313(f92(f890(f889(f890(x101491,a881),f890(x101491,a881)),a881)),f306(x101491,x101493)),f313(f313(f295(f889(f890(x101491,a881),f890(x101491,a881))),f313(f313(f240(f890(x101491,a881),f890(x101491,a881)),f178(f890(x101491,a881))),f178(f890(x101491,a881)))),f178(f890(f889(f890(x101491,a881),f890(x101491,a881)),a881)))))),f306(x101491,x101492)))+~P1(f313(f313(f222(f890(f889(x101491,x101491),a881)),f313(f313(f275(x101491,x101491,x101491),x101492),x101493)),x101492))
% 119.46/119.24 [10150]P1(f313(f313(f222(f890(f889(f890(x101501,a881),f890(x101501,a881)),a881)),f313(f313(f275(f890(x101501,a881),f890(x101501,a881),f890(x101501,a881)),f304(x101501,x101502)),f313(f313(f92(f890(f889(f890(x101501,a881),f890(x101501,a881)),a881)),f304(x101501,x101503)),f313(f313(f295(f889(f890(x101501,a881),f890(x101501,a881))),f313(f313(f240(f890(x101501,a881),f890(x101501,a881)),f178(f890(x101501,a881))),f178(f890(x101501,a881)))),f178(f890(f889(f890(x101501,a881),f890(x101501,a881)),a881)))))),f304(x101501,x101502)))+~P1(f313(f313(f222(f890(f889(x101501,x101501),a881)),f313(f313(f275(x101501,x101501,x101501),x101502),x101503)),x101502))
% 119.46/119.24 [7332]~P1(f313(f313(f222(a883),x73322),x73321))+E(f313(f313(f3(a883),f313(a103,f313(f313(f3(a883),x73321),x73322))),x73323),f313(f313(f3(a883),f313(a103,x73321)),f313(f313(f73(a883),x73322),x73323)))
% 119.46/119.24 [7373]~P66(x73731)+E(f313(f313(f73(x73731),f38(x73731,x73732,x73733)),f313(f313(f74(x73731),f313(f313(f29(x73731),x73732),x73733)),x73733)),x73732)
% 119.46/119.24 [7577]E(f313(f313(f74(a883),f313(f95(a883),x75771)),f313(f313(f74(a883),f313(f95(a883),x75772)),x75773)),f313(f313(f74(a883),f313(f95(a883),f313(f313(f74(a1),x75771),x75772))),x75773))+P1(f313(f313(f223(a1),x75771),a76))
% 119.46/119.24 [8046]~P1(f313(f313(f222(a883),x80463),x80462))+P1(f313(f313(f222(a883),x80461),f313(f313(f3(a883),f313(f313(f73(a883),x80462),x80461)),x80463)))
% 119.46/119.24 [8246]~P1(f313(f313(f222(a883),x82461),x82462))+E(f313(f313(f122(a883),f127(a883,f313(f288(a883,x82461),x82462))),f127(a883,f313(f288(a883,x82462),f313(f313(f73(a883),x82462),x82463)))),f127(a883,f313(f288(a883,x82461),f313(f313(f73(a883),x82462),x82463))))
% 119.46/119.24 [8498]~P1(f313(f54(x84981),x84982))+E(f313(a103,f313(f28(x84981),f313(f313(f3(f890(x84981,a881)),x84982),f313(f313(f295(x84981),x84983),f178(f890(x84981,a881)))))),f313(f28(x84981),f313(f313(f295(x84981),x84983),x84982)))
% 119.46/119.24 [8539]~P1(f313(f54(x85391),x85392))+E(f313(f313(f73(a883),f71(a883)),f313(f28(x85391),f313(f313(f3(f890(x85391,a881)),x85392),f313(f313(f295(x85391),x85393),f178(f890(x85391,a881)))))),f313(f28(x85391),f313(f313(f295(x85391),x85393),x85392)))
% 119.46/119.24 [8721]E(f313(f313(f3(a883),f313(f28(x87211),x87212)),f313(f28(x87211),f313(f313(f93(f890(x87211,a881)),x87212),x87213))),f313(f28(x87211),f313(f313(f3(f890(x87211,a881)),x87212),x87213)))+~P1(f313(f54(x87211),f313(f313(f93(f890(x87211,a881)),x87212),x87213)))
% 119.46/119.24 [8957]~P6(f313(x89572,f377(x89572,x89573,x89571)))+E(f313(f91(a1),f313(f313(f8(x89571,a883),f313(f313(f10(a1,a883,x89571),a96),x89572)),x89573)),f313(f313(f8(x89571,a1),x89572),x89573))
% 119.46/119.24 [8958]~P6(f313(x89582,f424(x89582,x89583,x89581)))+E(f313(f91(a1),f313(f313(f11(x89581,a883),f313(f313(f10(a1,a883,x89581),a96),x89582)),x89583)),f313(f313(f11(x89581,a1),x89582),x89583))
% 119.46/119.24 [8996]~P1(f313(f54(x89961),x89963))+P1(f313(f313(f222(a883),f313(f313(f3(a883),f313(f28(x89961),x89962)),f313(f28(x89961),x89963))),f313(f28(x89961),f313(f313(f3(f890(x89961,a881)),x89962),x89963))))
% 119.46/119.24 [9023]P1(f313(f313(f315(x90231),f377(x90232,x90233,x90231)),x90233))+E(f313(f91(a1),f313(f313(f8(x90231,a883),f313(f313(f10(a1,a883,x90231),a96),x90232)),x90233)),f313(f313(f8(x90231,a1),x90232),x90233))
% 119.46/119.24 [9024]P1(f313(f313(f315(x90241),f424(x90242,x90243,x90241)),x90243))+E(f313(f91(a1),f313(f313(f11(x90241,a883),f313(f313(f10(a1,a883,x90241),a96),x90242)),x90243)),f313(f313(f11(x90241,a1),x90242),x90243))
% 119.46/119.24 [9089]E(f78(x90891,f313(f313(f9(x90891,f890(x90891,a881),a881),f315(x90891)),f313(f313(f3(f890(x90891,a881)),x90892),f313(f313(f295(x90891),x90893),f178(f890(x90891,a881)))))),f235(x90891,x90893,x90892))+P1(f313(f313(f222(f890(x90891,a881)),x90892),f313(f313(f295(x90891),x90893),f178(f890(x90891,a881)))))
% 119.46/119.24 [9438]E(f313(f313(f142(f885(x94381),x94381),f313(f313(f9(f885(x94381),a883,x94381),f152(x94381)),x94382)),f313(f124(f885(x94381),f313(f313(f10(a883,a881,f885(x94381)),f313(f223(a883),x94382)),f179(f885(x94381)))),x94383)),f313(f313(f152(f885(x94381)),f167(x94381,x94383)),x94382))+~P1(f313(f313(f223(a883),x94382),f313(f179(f885(f885(x94381))),f167(x94381,x94383))))
% 119.46/119.24 [9524]E(f313(f124(x95241,x95242),x95243),f165(x95241,x95242,x95243))+P1(f313(f313(f315(x95241),f736(x95243,x95242,x95241)),f313(f160(x95241),f313(f313(f126(x95241),f313(f179(f885(x95241)),f165(x95241,x95242,x95243))),x95243))))
% 119.46/119.24 [9657]E(f313(f313(f126(x96571),f313(f179(f885(x96571)),f165(x96571,x96572,x96573))),x96573),f104(x96571))+~P1(f313(x96572,f313(f129(x96571),f313(f313(f126(x96571),f313(f179(f885(x96571)),f165(x96571,x96572,x96573))),x96573))))
% 119.46/119.24 [9753]~P1(f313(f313(f315(f889(x97531,x97531)),x97532),f293(x97531,x97533)))+P1(f313(f313(f315(f889(x97531,x97531)),x97532),f313(f313(f33(a883,f890(f889(x97531,x97531),a881)),f230(f890(a883,a881))),f313(f313(f9(a883,f890(f889(x97531,x97531),a881),f890(f889(x97531,x97531),a881)),f171(f889(x97531,x97531),a881)),x97533))))
% 119.46/119.24 [9818]~P1(f313(f313(f222(f890(x98181,a881)),f313(f313(f33(a883,f890(x98181,a881)),f313(f288(a883,f2(a883)),f493(x98183,x98182,x98181))),x98182)),x98183))+P1(f313(f313(f222(f890(x98181,a881)),f313(f313(f33(a883,f890(x98181,a881)),f230(f890(a883,a881))),x98182)),x98183))
% 119.46/119.24 [9869]~P1(f313(f313(f223(a1),f2(a1)),x98693))+P1(f313(f313(f223(a1),x98691),f313(f313(f73(a1),x98692),f313(f313(f74(a1),f313(f313(f73(a1),f313(f69(a1),f313(f313(f3(a1),x98692),x98691))),f71(a1))),x98693))))
% 119.46/119.24 [9881]~P36(x98811,f313(f313(f92(f890(f889(x98811,x98811),a881)),x98812),x98813))+P36(x98811,f313(f313(f92(f890(f889(x98811,x98811),a881)),f313(f313(f92(f890(f889(x98811,x98811),a881)),f313(f313(f275(x98811,x98811,x98811),x98812),x98812)),f313(f313(f275(x98811,x98811,x98811),x98813),x98812))),x98813))
% 119.46/119.24 [9953]P36(x99531,f313(f313(f92(f890(f889(x99531,x99531),a881)),x99532),x99533))+~P36(x99531,f313(f313(f92(f890(f889(x99531,x99531),a881)),f313(f313(f92(f890(f889(x99531,x99531),a881)),f313(f313(f275(x99531,x99531,x99531),x99532),x99532)),f313(f313(f275(x99531,x99531,x99531),x99533),x99532))),x99533))
% 119.46/119.24 [9528]~P144(x95281)+E(f313(f94(x95281),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x95282),x95283)),f178(f890(f889(a883,a883),a881)))))),f313(f313(f3(x95281),f313(f91(x95281),x95282)),f313(f91(x95281),x95283)))
% 119.46/119.24 [9604]P1(f313(x96043,x96042))+E(f313(f250(x96041),f313(f313(f20(x96041,a881,a881),f313(f313(f10(a881,f890(a881,a881),x96041),a311),f313(f313(f9(x96041,x96041,a881),a310),x96042))),x96043)),f178(f890(x96041,a881)))
% 119.46/119.24 [9606]~P1(f313(x96063,x96062))+E(f313(f250(x96061),f313(f313(f20(x96061,a881,a881),f313(f313(f10(a881,f890(a881,a881),x96061),a311),f313(f313(f9(x96061,x96061,a881),a310),x96062))),x96063)),f313(f313(f295(x96061),x96062),f178(f890(x96061,a881))))
% 119.46/119.24 [9849]E(x98491,x98492)+P1(f313(f313(f231(x98493,x98493,f313(f313(f10(f890(x98493,a881),f890(x98493,a881),x98493),f313(f10(a881,a881,x98493),a308)),a310)),x98491),x98492))
% 119.46/119.24 [9933]~E(x99331,x99332)+~P1(f313(f313(f231(x99333,x99333,f313(f313(f10(f890(x99333,a881),f890(x99333,a881),x99333),f313(f10(a881,a881,x99333),a308)),a310)),x99331),x99332))
% 119.46/119.24 [9945]~P1(f313(f54(x99451),x99453))+E(f313(f313(f57(x99451,f890(x99451,a881),f313(f313(f10(f890(x99451,a881),f890(f890(x99451,a881),f890(x99451,a881)),x99451),f313(f9(f890(x99451,a881),f890(x99451,a881),f890(x99451,a881)),f3(f890(x99451,a881)))),f313(f313(f9(x99451,f890(x99451,a881),f890(x99451,a881)),f295(x99451)),f178(f890(x99451,a881))))),x99452),x99453),f313(f313(f3(f890(x99451,a881)),x99452),x99453))
% 119.46/119.24 [9975]~P1(f313(f313(f223(a1),f2(a1)),x99753))+P1(f313(f313(f223(a1),f313(f313(f3(a1),x99751),f313(f313(f74(a1),f313(f313(f73(a1),f313(f69(a1),f313(f313(f3(a1),x99751),x99752))),f71(a1))),x99753))),x99752))
% 119.46/119.24 [10231]~P1(f313(f313(f315(x102311),x102313),f302(x102311,x102312)))+P1(f313(f301(x102311,f313(f313(f9(x102311,f890(f889(x102311,x102311),a881),f890(x102311,a881)),f313(f313(f10(f890(x102311,f890(f890(f889(x102311,x102311),a881),a881)),f890(f890(f889(x102311,x102311),a881),f890(x102311,a881)),x102311),f9(x102311,f890(f889(x102311,x102311),a881),a881)),f313(f313(f10(f890(x102311,f889(x102311,x102311)),f890(x102311,f890(f890(f889(x102311,x102311),a881),a881)),x102311),f313(f10(f889(x102311,x102311),f890(f890(f889(x102311,x102311),a881),a881),x102311),f315(f889(x102311,x102311)))),f240(x102311,x102311)))),x102312)),x102313))
% 119.46/119.24 [10244]P1(f313(f313(f315(x102441),x102442),f302(x102441,x102443)))+~P1(f313(f301(x102441,f313(f313(f9(x102441,f890(f889(x102441,x102441),a881),f890(x102441,a881)),f313(f313(f10(f890(x102441,f890(f890(f889(x102441,x102441),a881),a881)),f890(f890(f889(x102441,x102441),a881),f890(x102441,a881)),x102441),f9(x102441,f890(f889(x102441,x102441),a881),a881)),f313(f313(f10(f890(x102441,f889(x102441,x102441)),f890(x102441,f890(f890(f889(x102441,x102441),a881),a881)),x102441),f313(f10(f889(x102441,x102441),f890(f890(f889(x102441,x102441),a881),a881),x102441),f315(f889(x102441,x102441)))),f240(x102441,x102441)))),x102443)),x102442))
% 119.46/119.24 [9816]~P1(f313(f54(x98161),f313(f250(x98161),x98163)))+P1(f313(f54(x98161),f313(f250(x98161),f313(f313(f20(x98161,a881,a881),f313(f313(f10(a881,f890(a881,a881),x98161),a311),x98162)),x98163))))
% 119.46/119.24 [9817]~P1(f313(f54(x98171),f313(f250(x98171),x98172)))+P1(f313(f54(x98171),f313(f250(x98171),f313(f313(f20(x98171,a881,a881),f313(f313(f10(a881,f890(a881,a881),x98171),a311),x98172)),x98173))))
% 119.46/119.24 [9912]P1(f313(f54(x99121),f313(f250(x99121),x99122)))+~P1(f313(f54(x99121),f313(f250(x99121),f313(f313(f20(x99121,a881,a881),f313(f313(f10(a881,f890(a881,a881),x99121),a312),x99123)),x99122))))
% 119.46/119.24 [9913]P1(f313(f54(x99131),f313(f250(x99131),x99132)))+~P1(f313(f54(x99131),f313(f250(x99131),f313(f313(f20(x99131,a881,a881),f313(f313(f10(a881,f890(a881,a881),x99131),a312),x99132)),x99133))))
% 119.46/119.24 [10211]~P1(f313(f54(x102111),x102112))+P1(f313(f54(f885(x102111)),f313(f250(f885(x102111)),f313(f313(f20(f885(x102111),a881,a881),f313(f313(f10(a881,f890(a881,a881),f885(x102111)),a311),f313(f313(f9(f885(x102111),f890(x102111,a881),a881),f313(f313(f10(f890(x102111,a881),f890(f890(x102111,a881),a881),f885(x102111)),f222(f890(x102111,a881))),f160(x102111))),x102112))),f313(f313(f9(f885(x102111),a883,a881),f313(f313(f10(a883,f890(a883,a881),f885(x102111)),a310),f179(f885(x102111)))),x102113)))))
% 119.46/119.24 [10212]~P1(f313(f54(x102121),x102122))+P1(f313(f54(f885(x102121)),f313(f250(f885(x102121)),f313(f313(f20(f885(x102121),a881,a881),f313(f313(f10(a881,f890(a881,a881),f885(x102121)),a311),f313(f313(f9(f885(x102121),f890(x102121,a881),a881),f313(f313(f10(f890(x102121,a881),f890(f890(x102121,a881),a881),f885(x102121)),f222(f890(x102121,a881))),f160(x102121))),x102122))),f313(f313(f9(f885(x102121),a883,a881),f313(f313(f10(a883,f890(a883,a881),f885(x102121)),f222(a883)),f179(f885(x102121)))),x102123)))))
% 119.46/119.24 [9926]~P120(x99261)+E(f313(f313(f232(x99261),x99262),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x99263)),f313(f313(f74(x99261),f313(f313(f232(x99261),x99262),x99263)),f313(f313(f232(x99261),x99262),x99263)))
% 119.46/119.24 [9956]~P80(x99561)+E(f313(f313(f232(x99561),f313(f313(f232(x99561),x99562),x99563)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f232(x99561),x99562),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x99563)))
% 119.46/119.24 [10015]~P144(x100151)+E(f313(f313(f232(x100151),f313(f72(x100151),x100152)),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100153)),f313(f313(f232(x100151),x100152),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100153)))
% 119.46/119.24 [10156]~P115(x101561)+P1(f313(f313(f222(x101561),f2(x101561)),f313(f313(f73(x101561),f313(f313(f232(x101561),x101562),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101561),x101563),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))))
% 119.46/119.24 [10025]~P120(x100251)+E(f313(f313(f232(x100251),x100252),f313(a103,f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100253))),f313(f313(f74(x100251),x100252),f313(f313(f74(x100251),f313(f313(f232(x100251),x100252),x100253)),f313(f313(f232(x100251),x100252),x100253))))
% 119.46/119.24 [10075]~P80(x100751)+E(f313(f313(f74(x100751),x100752),f313(f313(f232(x100751),f313(f313(f232(x100751),x100752),x100753)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x100751),x100752),f313(a103,f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100753))))
% 119.46/119.24 [10116]~P115(x101161)+P1(f313(f313(f222(x101161),f2(x101161)),f313(f313(f232(x101161),x101162),f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101163))))
% 119.46/119.24 [10188]~P98(x101881)+E(f313(f313(f73(x101881),f313(f313(f73(x101881),f313(f313(f232(x101881),x101882),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101881),x101883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f313(f313(f74(x101881),f313(f313(f74(x101881),f313(f95(x101881),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101882)),x101883)),f313(f313(f232(x101881),f313(f313(f73(x101881),x101882),x101883)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [10189]~P98(x101891)+E(f313(f313(f3(x101891),f313(f313(f73(x101891),f313(f313(f232(x101891),x101892),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101891),x101893),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f313(f313(f74(x101891),f313(f313(f74(x101891),f313(f95(x101891),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x101892)),x101893)),f313(f313(f232(x101891),f313(f313(f3(x101891),x101892),x101893)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.24 [7845]P24(x78451,x78452,x78453,x78454)+~E(f478(x78454,x78453,x78452,x78451),f479(x78454,x78453,x78452,x78451))
% 119.46/119.24 [8136]P33(x81361,x81362,x81363,x81364,f104(x81362))+~E(x81364,f104(x81361))
% 119.46/119.24 [8137]P33(x81371,x81372,x81373,f104(x81371),x81374)+~E(x81374,f104(x81372))
% 119.46/119.24 [8673]~P33(x86732,x86733,x86734,x86731,f104(x86733))+E(x86731,f104(x86732))
% 119.46/119.24 [8674]~P33(x86743,x86742,x86744,f104(x86743),x86741)+E(x86741,f104(x86742))
% 119.46/119.24 [5026]~P17(x50263,x50261,x50264)+E(f313(f313(x50261,x50262),x50262),x50262)
% 119.46/119.24 [5283]P1(f313(x52832,x52834))+E(f313(f124(x52831,x52832),f157(x52831,x52833,x52834)),f104(x52831))
% 119.46/119.24 [5320]~E(x53204,f178(f890(x53201,a881)))+E(f313(f296(x53201,x53202,x53203),x53204),f178(f890(x53202,a881)))
% 119.46/119.24 [5321]~E(x53214,f178(f890(x53211,a881)))+E(f313(f296(x53211,x53212,x53213),x53214),f178(f890(x53212,a881)))
% 119.46/119.24 [5565]~P1(f313(x55652,x55654))+E(f313(f124(x55651,x55652),f157(x55651,x55653,x55654)),f157(x55651,x55653,x55654))
% 119.46/119.24 [5594]~E(f313(f296(x55942,x55943,x55944),x55941),f178(f890(x55943,a881)))+E(x55941,f178(f890(x55942,a881)))
% 119.46/119.24 [5595]~E(f313(f296(x55952,x55953,x55954),x55951),f178(f890(x55953,a881)))+E(x55951,f178(f890(x55952,a881)))
% 119.46/119.24 [5897]~P4(x58972)+E(f313(f313(f136(x58971,x58972,x58973),x58974),f104(x58971)),f313(f313(f139(x58971),x58974),f104(x58971)))
% 119.46/119.24 [6271]~E(x62711,f178(f890(x62712,a881)))+~P1(f313(f55(x62712,x62713,x62711),x62714))
% 119.46/119.24 [6292]~P61(x62921,x62923,x62924,x62922)+P1(f313(f54(x62921),x62922))
% 119.46/119.24 [6293]~P61(x62931,x62933,x62934,x62932)+P1(f313(f54(x62931),x62932))
% 119.46/119.24 [6294]~P61(x62941,x62943,x62942,x62944)+P1(f313(f54(x62941),x62942))
% 119.46/119.24 [6295]~P61(x62951,x62953,x62952,x62954)+P1(f313(f54(x62951),x62952))
% 119.46/119.24 [6302]~P61(x63022,x63023,x63024,x63021)+~E(x63021,f178(f890(x63022,a881)))
% 119.46/119.24 [6303]~P61(x63032,x63033,x63034,x63031)+~E(x63031,f178(f890(x63032,a881)))
% 119.46/119.24 [6339]~P3(x63391)+E(f313(f313(f93(f890(x63391,a881)),f313(f288(x63391,x63392),x63393)),f289(x63391,x63393,x63394)),f178(f890(x63391,a881)))
% 119.46/119.24 [6370]~P1(f313(f313(x63703,x63704),x63702))+P1(f313(f313(f315(x63701),x63702),f281(x63701,x63703,x63704)))
% 119.46/119.24 [6371]~P1(f313(f313(x63713,x63714),x63712))+P1(f313(f313(f315(x63711),x63712),f280(x63711,x63713,x63714)))
% 119.46/119.24 [6372]~P1(f313(f313(x63723,x63722),x63724))+P1(f313(f313(f315(x63721),x63722),f284(x63721,x63723,x63724)))
% 119.46/119.24 [6373]~P1(f313(f313(x63733,x63732),x63734))+P1(f313(f313(f315(x63731),x63732),f282(x63731,x63733,x63734)))
% 119.46/119.24 [6525]~P3(x65251)+E(f313(f313(f93(f890(x65251,a881)),f289(x65251,x65252,x65253)),f291(x65251,x65253,x65254)),f178(f890(x65251,a881)))
% 119.46/119.24 [6526]~P3(x65261)+E(f313(f313(f93(f890(x65261,a881)),f289(x65261,x65262,x65263)),f292(x65261,x65263,x65264)),f178(f890(x65261,a881)))
% 119.46/119.24 [6527]~P3(x65271)+E(f313(f313(f93(f890(x65271,a881)),f291(x65271,x65272,x65273)),f291(x65271,x65273,x65274)),f178(f890(x65271,a881)))
% 119.46/119.24 [6528]~P3(x65281)+E(f313(f313(f93(f890(x65281,a881)),f291(x65281,x65282,x65283)),f292(x65281,x65283,x65284)),f178(f890(x65281,a881)))
% 119.46/119.24 [6529]~P3(x65291)+E(f313(f313(f93(f890(x65291,a881)),f292(x65291,x65292,x65293)),f289(x65291,x65293,x65294)),f178(f890(x65291,a881)))
% 119.46/119.24 [6568]P1(f313(f313(x65681,x65682),f562(x65682,x65681)))+~P1(f313(f237(x65683,x65684,x65681),x65682))
% 119.46/119.24 [6656]~P4(x66562)+E(f313(f160(x66561),f138(x66561,x66562,x66563,x66564)),f313(f160(x66561),x66564))
% 119.46/119.24 [6711]~P2(x67111)+E(f180(x67111,x67112,f313(a103,x67113),x67114),f180(x67111,x67112,x67113,f313(x67112,x67114)))
% 119.46/119.24 [6777]~P1(f313(f313(f315(x67774),x67773),f281(x67774,x67771,x67772)))+P1(f313(f313(x67771,x67772),x67773))
% 119.46/119.24 [6778]~P1(f313(f313(f315(x67784),x67783),f280(x67784,x67781,x67782)))+P1(f313(f313(x67781,x67782),x67783))
% 119.46/119.24 [6779]~P1(f313(f313(f315(x67794),x67792),f284(x67794,x67791,x67793)))+P1(f313(f313(x67791,x67792),x67793))
% 119.46/119.24 [6780]~P1(f313(f313(f315(x67804),x67802),f282(x67804,x67801,x67803)))+P1(f313(f313(x67801,x67802),x67803))
% 119.46/119.24 [6858]E(f313(f28(f891(x68581,x68582)),f299(x68581,x68582,x68583,x68584)),f2(a883))+P1(f313(f54(x68582),x68584))
% 119.46/119.24 [6859]E(f313(f28(f891(x68591,x68592)),f299(x68591,x68592,x68593,x68594)),f2(a883))+P1(f313(f54(x68591),x68593))
% 119.46/119.24 [7074]~P14(x70744,x70741,x70742)+E(f313(f66(x70741,x70741,x70741,f313(x70742,x70743)),f313(x70742,x70743)),f313(x70742,x70743))
% 119.46/119.24 [7317]E(f263(x73171,x73172,x73173,x73174),f313(f240(f890(a90,f890(a881,f887(f884(x73171)))),f889(a90,a90)),f34(x73171)))+~P1(f313(f313(f222(a90),x73173),f2(a90)))
% 119.46/119.24 [7970]~E(x79702,x79703)+P1(f313(f313(f315(f889(x79701,x79701)),f313(f313(f240(x79701,x79701),x79702),x79703)),f293(x79701,x79704)))
% 119.46/119.24 [7998]~P24(x79981,x79982,x79983,f230(f890(x79981,a881)))+E(f313(f70(x79981,x79982,f230(f890(x79981,a881)),x79983),f313(x79983,x79984)),x79984)
% 119.46/119.24 [8087]~P1(f313(f313(f315(f885(x80871)),f313(f313(f139(x80871),x80874),x80872)),f149(x80871,x80873)))+P1(f313(f313(f315(f885(x80871)),x80872),f149(x80871,x80873)))
% 119.46/119.24 [8088]~P1(f313(f313(f315(f885(x80881)),f313(f313(f122(x80881),x80884),x80882)),f149(x80881,x80883)))+P1(f313(f313(f315(f885(x80881)),x80882),f149(x80881,x80883)))
% 119.46/119.24 [8089]~P1(f313(f313(f315(f885(x80891)),f313(f313(f122(x80891),x80892),x80894)),f149(x80891,x80893)))+P1(f313(f313(f315(f885(x80891)),x80892),f149(x80891,x80893)))
% 119.46/119.24 [8100]~P4(x81001)+P13(x81001,f313(f313(f142(x81002,x81001),x81003),f138(x81002,x81001,x81003,x81004)))
% 119.46/119.24 [8204]P24(x82044,x82043,x82041,x82042)+E(f313(x82041,f478(x82042,x82041,x82043,x82044)),f313(x82041,f479(x82042,x82041,x82043,x82044)))
% 119.46/119.24 [8310]~P24(x83102,x83101,x83104,x83103)+P24(x83101,x83102,f70(x83102,x83101,x83103,x83104),f313(f296(x83102,x83101,x83104),x83103))
% 119.46/119.24 [8447]P36(f889(x84472,x84474),f266(x84472,x84474,x84471,x84473))+P1(f313(x84471,f558(x84472,x84473,x84474,x84471)))
% 119.46/119.24 [8566]E(x85661,x85662)+~P1(f313(f313(f315(f889(x85663,x85663)),f313(f313(f240(x85663,x85663),x85661),x85662)),f251(x85663,x85664)))
% 119.46/119.24 [8627]~P1(f313(f54(f891(x86273,x86271)),f299(x86273,x86271,x86274,x86272)))+P1(f313(f54(x86271),x86272))
% 119.46/119.24 [8628]~P1(f313(f54(f891(x86281,x86283)),f299(x86281,x86283,x86282,x86284)))+P1(f313(f54(x86281),x86282))
% 119.46/119.24 [8629]~P1(f313(f54(f891(x86293,x86291)),f299(x86293,x86291,x86294,x86292)))+P1(f313(f54(x86291),x86292))
% 119.46/119.24 [8630]~P1(f313(f54(f891(x86301,x86303)),f299(x86301,x86303,x86302,x86304)))+P1(f313(f54(x86301),x86302))
% 119.46/119.24 [8802]P36(f889(x88021,x88022),f266(x88021,x88022,x88023,x88024))+~P36(x88022,f313(x88024,f558(x88021,x88024,x88022,x88023)))
% 119.46/119.24 [9359]E(f313(f313(f147(x93591,x93592),f689(x93593,x93594,x93592,x93591)),f690(x93593,x93594,x93592,x93591)),x93594)+~P1(f313(f313(f315(f889(f885(x93591),f885(x93591))),f313(f313(f240(f885(x93591),f885(x93591)),x93592),x93594)),f145(x93591,x93593)))
% 119.46/119.24 [9365]~P1(f313(f313(f315(f889(f885(x93651),f885(x93651))),f313(f313(f240(f885(x93651),f885(x93651)),x93652),x93653)),f133(x93651,x93654)))+P1(f313(f313(f315(f889(f885(x93651),f885(x93651))),f313(f313(f240(f885(x93651),f885(x93651)),x93652),x93653)),f135(x93651,x93654)))
% 119.46/119.24 [9474]P1(f313(f54(x94741),x94742))+~P1(f313(f313(f315(f889(f890(x94741,a881),f890(x94741,a881))),f313(f313(f240(f890(x94741,a881),f890(x94741,a881)),x94743),x94742)),f304(x94741,x94744)))
% 119.46/119.24 [9475]P1(f313(f54(x94751),x94752))+~P1(f313(f313(f315(f889(f890(x94751,a881),f890(x94751,a881))),f313(f313(f240(f890(x94751,a881),f890(x94751,a881)),x94752),x94753)),f304(x94751,x94754)))
% 119.46/119.24 [9478]~E(x94781,f178(f890(x94782,a881)))+~P1(f313(f313(f315(f889(f890(x94782,a881),f890(x94782,a881))),f313(f313(f240(f890(x94782,a881),f890(x94782,a881)),x94783),x94781)),f304(x94782,x94784)))
% 119.46/119.24 [10127]P11(x101271,x101272,x101273,x101274)+~P1(f313(f313(f245(x101271,x101271,a881),f313(f313(f9(x101271,f890(x101271,x101272),f890(x101271,a881)),f313(f313(f10(f890(x101272,a881),f890(f890(x101271,x101272),f890(x101271,a881)),x101271),f10(x101272,a881,x101271)),f313(f313(f10(x101272,f890(x101272,a881),x101271),a310),x101274))),x101274)),f456(x101274,x101273,x101272,x101271)))
% 119.46/119.24 [4923]~E(x49234,f104(x49231))+E(f313(f313(f142(x49231,x49232),x49233),x49234),f104(x49232))
% 119.46/119.24 [4924]~E(x49244,f104(x49241))+E(f313(f313(f142(x49241,x49242),x49243),x49244),f104(x49242))
% 119.46/119.24 [4925]~E(x49252,f104(x49251))+E(f313(f313(f147(x49251,x49252),x49253),x49254),f104(x49251))
% 119.46/119.24 [5167]E(x51671,f104(x51672))+~E(f313(f313(f142(x51672,x51673),x51674),x51671),f104(x51673))
% 119.46/119.24 [5168]E(x51681,f104(x51682))+~E(f313(f313(f142(x51682,x51683),x51684),x51681),f104(x51683))
% 119.46/119.24 [5169]E(x51691,f104(x51692))+~E(f313(f313(f147(x51692,x51691),x51693),x51694),f104(x51692))
% 119.46/119.24 [5206]E(x52061,x52062)+~E(f313(f313(f122(x52063),x52064),x52061),f313(f313(f122(x52063),x52064),x52062))
% 119.46/119.24 [5207]E(x52071,x52072)+~E(f313(f313(f122(x52073),x52071),x52074),f313(f313(f122(x52073),x52072),x52074))
% 119.46/119.24 [5358]P1(f313(x53583,x53582))+E(f158(x53581,x53582,f313(f124(x53581,x53583),x53584)),f313(f124(x53581,x53583),x53584))
% 119.46/119.24 [5360]~P1(f313(x53602,x53603))+P32(x53601,x53602,f313(f313(f139(x53601),x53603),x53604))
% 119.46/119.24 [5370]E(x53701,x53702)+~E(f127(a883,f313(f288(a883,x53701),x53703)),f313(f313(f139(a883),x53702),x53704))
% 119.46/119.24 [5417]~P25(x54172,x54173)+P25(x54171,f313(f313(f67(x54172,x54171),x54173),x54174))
% 119.46/119.24 [5418]~P36(x54182,x54183)+P36(x54181,f313(f313(f274(x54182,x54181),x54183),x54184))
% 119.46/119.24 [5419]~P37(x54192,x54193)+P37(x54191,f313(f313(f274(x54192,x54191),x54193),x54194))
% 119.46/119.24 [5420]~P54(x54202,x54203)+P54(x54201,f313(f313(f274(x54202,x54201),x54203),x54204))
% 119.46/119.24 [5549]~P32(x55491,x55492,x55494)+P32(x55491,x55492,f313(f313(f139(x55491),x55493),x55494))
% 119.46/119.24 [5550]~P32(x55501,x55502,x55504)+P32(x55501,x55502,f313(f313(f122(x55501),x55503),x55504))
% 119.46/119.24 [5551]~P32(x55511,x55512,x55513)+P32(x55511,x55512,f313(f313(f122(x55511),x55513),x55514))
% 119.46/119.24 [5639]~E(x56391,f104(x56392))+~E(f313(f313(f122(x56392),x56393),f313(f313(f139(x56392),x56394),f104(x56392))),x56391)
% 119.46/119.24 [5665]~P30(x56653,x56651,f313(f313(f139(x56653),x56652),x56654))+P1(f313(x56651,x56652))
% 119.46/119.24 [5675]E(f132(x56751,x56752),x56753)+~E(f313(f313(f122(x56751),x56754),f313(f313(f139(x56751),x56753),f104(x56751))),x56752)
% 119.46/119.24 [5676]E(f105(x56761,x56762),x56763)+~E(f313(f313(f122(x56761),x56763),f313(f313(f139(x56761),x56764),f104(x56761))),x56762)
% 119.46/119.24 [5786]~E(f127(a883,f313(f288(a883,x57861),x57862)),f313(f313(f139(a883),x57863),x57864))+P1(f313(f313(f223(a883),x57861),x57862))
% 119.46/119.24 [5804]P30(x58041,x58042,x58043)+~P30(x58041,x58042,f313(f313(f139(x58041),x58044),x58043))
% 119.46/119.24 [5805]P30(x58051,x58052,x58053)+~P30(x58051,x58052,f313(f313(f122(x58051),x58054),x58053))
% 119.46/119.24 [5806]P30(x58061,x58062,x58063)+~P30(x58061,x58062,f313(f313(f122(x58061),x58063),x58064))
% 119.46/119.24 [5887]~E(f313(f95(a883),x58874),f2(a883))+E(f313(f313(f152(x58871),f313(f313(f139(x58871),x58872),x58873)),f313(f95(a883),x58874)),x58872)
% 119.46/119.24 [6006]E(x60061,f313(f313(f122(x60062),f313(f156(x60062),x60063)),f313(f313(f139(x60062),x60064),f104(x60062))))+~E(f313(f156(x60062),x60061),f313(f313(f139(x60062),x60064),x60063))
% 119.46/119.24 [6190]~P3(x61901)+E(f313(f313(f93(f890(x61901,a881)),f313(f288(x61901,x61902),x61903)),f313(f288(x61901,x61903),x61904)),f178(f890(x61901,a881)))
% 119.46/119.24 [6202]E(f313(f313(f152(x62021),f157(x62021,x62022,x62023)),x62024),x62023)+~P1(f313(f313(f223(a883),x62024),x62022))
% 119.46/119.24 [6229]~P79(x62291)+E(f313(f153(x62291),f313(f313(f142(a1,x62291),x62292),f166(x62293,x62294))),f313(f313(f8(a1,x62291),x62292),f313(f160(a1),f166(x62293,x62294))))
% 119.46/119.24 [6230]~P79(x62301)+E(f313(f313(f8(a1,x62301),x62302),f313(f160(a1),f166(x62303,x62304))),f313(f153(x62301),f313(f313(f142(a1,x62301),x62302),f166(x62303,x62304))))
% 119.46/119.24 [6383]~E(x63832,f313(f313(f122(x63831),f313(f156(x63831),x63834)),f313(f313(f139(x63831),x63833),f104(x63831))))+E(f313(f156(x63831),x63832),f313(f313(f139(x63831),x63833),x63834))
% 119.46/119.24 [6401]~P19(x64012,x64013,x64014,x64011)+E(f313(x64011,f178(f890(x64012,a881))),f25(x64013))
% 119.46/119.24 [6431]~P3(x64311)+E(f313(f313(f93(f890(x64311,a881)),f292(x64311,x64312,x64313)),f313(f288(x64311,x64313),x64314)),f178(f890(x64311,a881)))
% 119.46/119.24 [6659]E(x66591,f178(f890(x66592,a881)))+~E(f299(x66593,x66592,x66594,x66591),f178(f890(f891(x66593,x66592),a881)))
% 119.46/119.24 [6660]E(x66601,f178(f890(x66602,a881)))+~E(f299(x66602,x66603,x66601,x66604),f178(f890(f891(x66602,x66603),a881)))
% 119.46/119.24 [6733]~P4(x67332)+E(f313(f179(f885(x67331)),f138(x67331,x67332,x67333,x67334)),f313(f179(f885(x67331)),x67334))
% 119.46/119.24 [6744]~P1(f313(f238(x67443,x67444,x67441),x67442))+P1(f313(f313(x67441,f553(x67442,x67441)),x67442))
% 119.46/119.24 [6773]E(f313(f95(a883),x67731),f2(a883))+E(f313(f313(f152(x67732),f313(f313(f139(x67732),x67733),x67734)),f313(f95(a883),x67731)),f313(f313(f152(x67732),x67734),f313(f313(f3(a883),f313(f95(a883),x67731)),f71(a883))))
% 119.46/119.24 [6791]~P1(f313(f54(x67912),x67914))+P1(f313(f54(x67911),f313(f296(x67912,x67911,x67913),x67914)))
% 119.46/119.24 [7034]~P24(x70342,x70341,x70343,x70344)+E(f313(f28(x70341),f313(f296(x70342,x70341,x70343),x70344)),f313(f28(x70342),x70344))
% 119.46/119.24 [7053]E(f313(f296(x70531,x70532,x70533),f313(f297(x70531,x70532,x70533),x70534)),x70534)+~E(f313(f296(x70531,x70532,x70533),f230(f890(x70531,a881))),f230(f890(x70532,a881)))
% 119.46/119.24 [7476]~P24(x74761,x74762,x74763,f230(f890(x74761,a881)))+E(f313(f297(x74761,x74762,x74763),f313(f296(x74761,x74762,x74763),x74764)),x74764)
% 119.46/119.24 [7763]E(x77631,x77632)+~P1(f313(f313(f315(x77633),x77631),f313(f160(x77633),f157(x77633,x77634,x77632))))
% 119.46/119.24 [7772]~E(x77721,f2(a883))+~P1(f313(f313(f315(x77722),x77723),f313(f160(x77722),f157(x77722,x77721,x77724))))
% 119.46/119.24 [7805]P1(f313(x78051,x78052))+~P1(f313(f313(f315(x78053),x78052),f313(f160(x78053),f165(x78053,x78051,x78054))))
% 119.46/119.24 [7915]~P1(f313(f313(f315(f885(x79151)),f313(f313(f139(x79151),x79152),x79154)),f149(x79151,x79153)))+P1(f313(f313(f315(x79151),x79152),x79153))
% 119.46/119.24 [8042]~P1(f313(f313(f315(x80421),x80422),f313(f160(x80421),f164(x80421,x80423,x80424))))+P1(f313(f313(f315(x80421),x80422),f313(f160(x80421),x80423)))
% 119.46/119.24 [8043]~P1(f313(f313(f315(x80431),x80432),f313(f160(x80431),f164(x80431,x80433,x80434))))+P1(f313(f313(f315(x80431),x80432),f313(f160(x80431),x80433)))
% 119.46/119.24 [8044]~P1(f313(f313(f315(x80441),x80442),f313(f160(x80441),f158(x80441,x80444,x80443))))+P1(f313(f313(f315(x80441),x80442),f313(f160(x80441),x80443)))
% 119.46/119.24 [8045]~P1(f313(f313(f315(x80451),x80452),f313(f160(x80451),f165(x80451,x80454,x80453))))+P1(f313(f313(f315(x80451),x80452),f313(f160(x80451),x80453)))
% 119.46/119.24 [8055]E(f313(f179(f885(x80551)),x80552),x80553)+~P1(f313(f313(f315(f885(x80551)),x80552),f313(f160(f885(x80551)),f48(x80551,x80553,x80554))))
% 119.46/119.24 [8149]P1(f313(x81493,x81492))+E(f313(f124(x81491,f313(f313(f10(a881,a881,x81491),a308),f313(a310,x81492))),f313(f124(x81491,x81493),x81494)),f313(f124(x81491,x81493),x81494))
% 119.46/119.24 [8262]E(f313(f313(f152(x82621),f165(x82621,x82622,x82623)),x82624),f313(f313(f152(x82621),x82623),x82624))+~P1(f313(f313(f223(a883),x82624),f313(f179(f885(x82621)),f165(x82621,x82622,x82623))))
% 119.46/119.24 [8348]~P79(x83481)+E(f313(f313(f8(a883,x83481),f313(f313(f10(a883,x83481,a883),x83482),a103)),f313(f288(a883,x83483),x83484)),f313(f313(f8(a883,x83481),x83482),f313(f288(a883,f313(a103,x83483)),f313(a103,x83484))))
% 119.46/119.24 [8356]~P79(x83561)+E(f313(f313(f8(a883,x83561),f313(f313(f10(a883,x83561,a883),x83562),a103)),f289(a883,x83563,x83564)),f313(f313(f8(a883,x83561),x83562),f289(a883,f313(a103,x83563),f313(a103,x83564))))
% 119.46/119.24 [8483]~P24(x84831,x84833,x84834,f230(f890(x84831,a881)))+P24(x84831,f890(x84832,x84833),f313(f313(f10(x84833,f890(x84832,x84833),x84831),f18(x84833,x84832)),x84834),f230(f890(x84831,a881)))
% 119.46/119.24 [8572]~P24(x85722,x85721,x85724,x85723)+E(f313(f296(x85721,x85722,f70(x85722,x85721,x85723,x85724)),f313(f296(x85722,x85721,x85724),x85723)),x85723)
% 119.46/119.24 [8631]~P1(f313(f313(f315(f889(x86311,x86311)),f313(f313(f240(x86311,x86311),x86312),x86314)),f251(x86311,x86313)))+P1(f313(f313(f315(x86311),x86312),x86313))
% 119.46/119.24 [8840]~E(f313(f313(f8(x88401,a883),x88404),x88403),f313(a103,x88402))+P1(f313(f313(f315(x88401),f331(x88402,x88403,x88404,x88401)),x88403))
% 119.46/119.24 [8859]~E(f313(f313(f8(x88594,a883),x88591),x88593),f313(a103,x88592))+P1(f313(f313(f223(a883),f2(a883)),f313(x88591,f331(x88592,x88593,x88591,x88594))))
% 119.46/119.24 [8870]~P1(f313(f54(x88702),x88704))+P1(f313(f313(f222(a883),f313(f28(x88701),f313(f296(x88702,x88701,x88703),x88704))),f313(f28(x88702),x88704)))
% 119.46/119.24 [8871]E(f313(f313(f240(x88711,x88712),f657(x88713,x88714,x88712,x88711)),f658(x88713,x88714,x88712,x88711)),x88714)+~P1(f313(f313(f315(f889(x88711,x88712)),x88714),f313(f272(x88712,x88711),x88713)))
% 119.46/119.24 [8879]P24(x88791,x88792,x88793,x88794)+P1(f313(f313(f315(x88791),f478(x88794,x88793,x88792,x88791)),x88794))
% 119.46/119.24 [8880]P24(x88801,x88802,x88803,x88804)+P1(f313(f313(f315(x88801),f479(x88804,x88803,x88802,x88801)),x88804))
% 119.46/119.24 [8949]P11(x89491,x89492,x89493,x89494)+P1(f313(f313(f315(f889(x89491,x89491)),f456(x89494,x89493,x89492,x89491)),x89493))
% 119.46/119.24 [9001]P1(f313(x90011,x90012))+~P1(f313(x90011,f313(f313(f240(x90013,x90014),f848(x90014,x90013,x90011)),f849(x90014,x90013,x90011))))
% 119.46/119.24 [9017]E(f313(f179(f885(x90171)),x90172),f313(f179(f885(x90171)),x90173))+~P1(f313(f313(f315(f889(f885(x90171),f885(x90171))),f313(f313(f240(f885(x90171),f885(x90171)),x90172),x90173)),f133(x90171,x90174)))
% 119.46/119.24 [9018]E(f313(f179(f885(x90181)),x90182),f313(f179(f885(x90181)),x90183))+~P1(f313(f313(f315(f889(f885(x90181),f885(x90181))),f313(f313(f240(f885(x90181),f885(x90181)),x90182),x90183)),f145(x90181,x90184)))
% 119.46/119.24 [9019]E(f313(f179(f885(x90191)),x90192),f313(f179(f885(x90191)),x90193))+~P1(f313(f313(f315(f889(f885(x90191),f885(x90191))),f313(f313(f240(f885(x90191),f885(x90191)),x90192),x90193)),f146(x90191,x90194)))
% 119.46/119.24 [9020]E(f313(f179(f885(x90201)),x90202),f313(f179(f885(x90201)),x90203))+~P1(f313(f313(f315(f889(f885(x90201),f885(x90201))),f313(f313(f240(f885(x90201),f885(x90201)),x90202),x90203)),f146(x90201,x90204)))
% 119.46/119.24 [9021]E(f313(f179(f885(x90211)),x90212),f313(f179(f885(x90211)),x90213))+~P1(f313(f313(f315(f889(f885(x90211),f885(x90211))),f313(f313(f240(f885(x90211),f885(x90211)),x90212),x90213)),f146(x90211,x90214)))
% 119.46/119.24 [9093]P1(f313(f313(f222(a883),f143(x90931,x90932,x90933)),f143(x90931,x90934,x90933)))+P1(f313(f313(f315(x90931),f710(x90934,x90932,x90933,x90931)),f313(f160(x90931),x90933)))
% 119.46/119.24 [9096]E(f313(f179(f885(x90961)),x90962),f313(f179(f885(x90961)),x90963))+~P1(f313(f313(f315(f889(f885(x90961),f885(x90961))),f313(f313(f240(f885(x90961),f885(x90961)),x90962),x90963)),f293(f885(x90961),f145(x90961,x90964))))
% 119.46/119.24 [9213]P1(f313(f313(f273(a883),x92131),x92132))+P1(f313(f313(f222(f890(a883,a881)),f276(a883,f273(a883),x92131,x92132)),f276(a883,f273(a883),x92133,x92134)))
% 119.46/119.24 [9332]~P24(x93321,x93322,x93323,x93324)+~P1(f313(f313(f223(a883),f313(f28(x93322),f313(f296(x93321,x93322,x93323),x93324))),f313(f28(x93321),x93324)))
% 119.46/119.24 [9378]~P1(f313(f313(f315(f889(f885(x93781),f885(x93781))),f313(f313(f240(f885(x93781),f885(x93781)),x93782),x93783)),f145(x93781,x93784)))+P1(f313(f313(f315(f889(f885(x93781),f885(x93781))),f313(f313(f240(f885(x93781),f885(x93781)),x93782),x93783)),f146(x93781,f293(x93781,x93784))))
% 119.46/119.24 [9382]~P1(f313(f313(f315(f889(f885(x93821),f885(x93821))),f313(f313(f240(f885(x93821),f885(x93821)),x93822),x93823)),f146(x93821,x93824)))+P1(f313(f313(f315(f889(f885(x93821),f885(x93821))),f313(f313(f240(f885(x93821),f885(x93821)),x93822),x93823)),f293(f885(x93821),f145(x93821,x93824))))
% 119.46/119.24 [9398]P1(f313(f313(f315(f889(x93981,x93981)),f313(f313(f240(x93981,x93981),x93982),x93983)),f293(x93981,x93984)))+~P1(f313(f313(f315(f889(x93981,x93981)),f313(f313(f240(x93981,x93981),x93982),x93983)),f313(f313(f275(x93981,x93981,x93981),x93984),f293(x93981,x93984))))
% 119.46/119.24 [9469]P1(f313(f313(f273(a883),x94691),x94692))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x94693,x94694)),f276(a883,f273(a883),x94691,x94692)))
% 119.46/119.24 [9585]E(f313(f313(f122(x95851),f693(x95852,x95853,x95854,x95851)),f313(f313(f139(x95851),f694(x95852,x95853,x95854,x95851)),f696(x95852,x95853,x95854,x95851))),x95854)+~P1(f313(f313(f315(f889(f885(x95851),f885(x95851))),f313(f313(f240(f885(x95851),f885(x95851)),x95854),x95853)),f145(x95851,x95852)))
% 119.46/119.24 [9586]E(f313(f313(f122(x95861),f693(x95862,x95863,x95864,x95861)),f313(f313(f139(x95861),f695(x95862,x95863,x95864,x95861)),f696(x95862,x95863,x95864,x95861))),x95863)+~P1(f313(f313(f315(f889(f885(x95861),f885(x95861))),f313(f313(f240(f885(x95861),f885(x95861)),x95864),x95863)),f145(x95861,x95862)))
% 119.46/119.24 [9664]P1(f313(f313(f315(f889(x96641,x96641)),f313(f313(f240(x96641,x96641),x96642),f626(x96643,x96644,x96642,x96641))),f293(x96641,x96643)))+~P1(f313(f313(f315(f889(x96641,x96641)),f313(f313(f240(x96641,x96641),x96642),x96644)),f313(f313(f275(x96641,x96641,x96641),x96643),f293(x96641,x96643))))
% 119.46/119.24 [9735]P1(f313(f313(f222(a883),f143(x97351,x97352,x97353)),f143(x97351,x97354,x97353)))+~P1(f313(f313(f223(a883),f313(x97352,f710(x97354,x97352,x97353,x97351))),f313(x97354,f710(x97354,x97352,x97353,x97351))))
% 119.46/119.24 [9812]P1(f313(f313(f315(f889(x98121,x98121)),f313(f313(f240(x98121,x98121),f622(x98122,x98123,x98124,x98121)),x98123)),f293(x98121,x98122)))+~P1(f313(f313(f315(f889(x98121,x98121)),f313(f313(f240(x98121,x98121),x98124),x98123)),f313(f313(f275(x98121,x98121,x98121),x98122),f293(x98121,x98122))))
% 119.46/119.24 [5187]~E(x51872,x51873)+E(f158(x51871,x51872,f313(f313(f139(x51871),x51873),x51874)),x51874)
% 119.46/119.24 [5200]~E(x52002,f2(a883))+E(f313(f313(f163(x52001),x52002),f313(f313(f139(x52001),x52003),x52004)),f104(x52001))
% 119.46/119.24 [5314]P1(f313(x53142,x53143))+E(f165(x53141,x53142,f313(f313(f139(x53141),x53143),x53144)),f104(x53141))
% 119.46/119.24 [5381]~P95(x53812)+E(f313(f313(f72(f890(x53811,x53812)),x53813),x53814),f313(f72(x53812),f313(x53813,x53814)))
% 119.46/119.24 [5382]~P95(x53822)+E(f313(f313(f72(f890(x53821,x53822)),x53823),x53824),f313(f72(x53822),f313(x53823,x53824)))
% 119.46/119.24 [5393]~E(x53932,f2(a883))+E(f313(f313(f126(x53931),x53932),f313(f313(f139(x53931),x53933),x53934)),f313(f313(f139(x53931),x53933),x53934))
% 119.46/119.24 [5394]P1(f313(x53942,x53943))+E(f313(f124(x53941,x53942),f313(f313(f139(x53941),x53943),x53944)),f313(f124(x53941,x53942),x53944))
% 119.46/119.24 [5532]~E(x55322,x55324)+P1(f313(f313(f313(f295(x55321),x55322),x55323),x55324))
% 119.46/119.24 [5540]E(x55401,f104(x55402))+E(f132(x55403,f313(f313(f142(x55402,x55403),x55404),x55401)),f313(x55404,f132(x55402,x55401)))
% 119.46/119.24 [5554]~E(x55541,f56(x55542,x55544))+E(f313(x55541,f313(f313(f295(x55542),x55543),f178(f890(x55542,a881)))),x55543)
% 119.46/119.24 [5570]~E(f313(f95(a883),x55702),f2(a883))+E(f313(f313(f163(x55701),f313(f95(a883),x55702)),f313(f313(f139(x55701),x55703),x55704)),f104(x55701))
% 119.46/119.24 [5590]E(x55901,f104(x55902))+E(f313(f129(x55903),f313(f313(f142(x55902,x55903),x55904),x55901)),f313(x55904,f313(f129(x55902),x55901)))
% 119.46/119.24 [5695]~P1(f313(x56953,x56954))+P1(f313(f313(f313(f295(x56951),x56952),x56953),x56954))
% 119.46/119.24 [5807]~E(f313(f95(a883),x58072),f2(a883))+E(f313(f313(f126(x58071),f313(f95(a883),x58072)),f313(f313(f139(x58071),x58073),x58074)),f313(f313(f139(x58071),x58073),x58074))
% 119.46/119.24 [5824]~P18(x58242,x58244,x58241)+E(f313(x58241,f313(f313(f295(x58242),x58243),f178(f890(x58242,a881)))),x58243)
% 119.46/119.24 [5847]~E(x58472,x58473)+P1(f313(f313(f315(x58471),x58472),f313(f313(f295(x58471),x58473),x58474)))
% 119.46/119.24 [5848]~E(x58482,x58483)+P1(f313(f313(f315(x58481),x58482),f313(f313(f295(x58481),x58483),x58484)))
% 119.46/119.24 [5852]~P120(x58521)+E(f313(f313(f74(x58521),x58522),f313(f313(f74(x58521),x58523),x58524)),f313(f313(f74(x58521),x58523),f313(f313(f74(x58521),x58522),x58524)))
% 119.46/119.24 [5853]~P120(x58531)+E(f313(f313(f73(x58531),x58532),f313(f313(f73(x58531),x58533),x58534)),f313(f313(f73(x58531),x58533),f313(f313(f73(x58531),x58532),x58534)))
% 119.46/119.24 [5854]~P4(x58541)+E(f313(f313(f227(x58541),x58542),f313(f313(f227(x58541),x58543),x58544)),f313(f313(f227(x58541),x58543),f313(f313(f227(x58541),x58542),x58544)))
% 119.46/119.24 [5855]~P4(x58551)+E(f313(f313(f227(x58551),x58552),f313(f313(f227(x58551),x58553),x58554)),f313(f313(f227(x58551),x58553),f313(f313(f227(x58551),x58552),x58554)))
% 119.46/119.24 [5856]~P4(x58561)+E(f313(f313(f177(x58561),x58562),f313(f313(f177(x58561),x58563),x58564)),f313(f313(f177(x58561),x58563),f313(f313(f177(x58561),x58562),x58564)))
% 119.46/119.24 [5857]~P4(x58571)+E(f313(f313(f177(x58571),x58572),f313(f313(f177(x58571),x58573),x58574)),f313(f313(f177(x58571),x58573),f313(f313(f177(x58571),x58572),x58574)))
% 119.46/119.24 [5858]~P102(x58581)+E(f313(f313(f92(x58581),x58582),f313(f313(f92(x58581),x58583),x58584)),f313(f313(f92(x58581),x58583),f313(f313(f92(x58581),x58582),x58584)))
% 119.46/119.24 [5859]~P102(x58591)+E(f313(f313(f92(x58591),x58592),f313(f313(f92(x58591),x58593),x58594)),f313(f313(f92(x58591),x58593),f313(f313(f92(x58591),x58592),x58594)))
% 119.46/119.24 [5860]~P103(x58601)+E(f313(f313(f92(x58601),x58602),f313(f313(f92(x58601),x58603),x58604)),f313(f313(f92(x58601),x58603),f313(f313(f92(x58601),x58602),x58604)))
% 119.46/119.24 [5861]~P103(x58611)+E(f313(f313(f93(x58611),x58612),f313(f313(f93(x58611),x58613),x58614)),f313(f313(f93(x58611),x58613),f313(f313(f93(x58611),x58612),x58614)))
% 119.46/119.24 [5862]~P108(x58621)+E(f313(f313(f93(x58621),x58622),f313(f313(f93(x58621),x58623),x58624)),f313(f313(f93(x58621),x58623),f313(f313(f93(x58621),x58622),x58624)))
% 119.46/119.24 [5863]~P108(x58631)+E(f313(f313(f93(x58631),x58632),f313(f313(f93(x58631),x58633),x58634)),f313(f313(f93(x58631),x58633),f313(f313(f93(x58631),x58632),x58634)))
% 119.46/119.24 [5870]E(x58701,x58702)+E(f158(x58703,x58701,f313(f313(f139(x58703),x58702),x58704)),f313(f313(f139(x58703),x58702),f158(x58703,x58701,x58704)))
% 119.46/119.24 [5885]~P1(f313(x58852,x58853))+E(f313(f124(x58851,x58852),f313(f313(f139(x58851),x58853),x58854)),f313(f313(f139(x58851),x58853),f313(f124(x58851,x58852),x58854)))
% 119.46/119.24 [5980]~E(x59804,f178(f890(x59801,a881)))+E(f313(f296(x59801,x59802,f313(f18(x59802,x59801),x59803)),x59804),f178(f890(x59802,a881)))
% 119.46/119.24 [6028]~P1(f313(x60282,x60283))+E(f165(x60281,x60282,f313(f313(f139(x60281),x60283),x60284)),f313(f313(f139(x60281),x60283),f165(x60281,x60282,x60284)))
% 119.46/119.24 [6093]E(x60931,f178(f890(x60932,a881)))+E(f313(f313(f32(x60932,f890(x60933,a881)),x60931),f313(f18(f890(x60933,a881),x60932),x60934)),x60934)
% 119.46/119.24 [6094]E(x60941,f178(f890(x60942,a881)))+E(f313(f313(f33(x60942,f890(x60943,a881)),x60941),f313(f18(f890(x60943,a881),x60942),x60944)),x60944)
% 119.46/119.24 [6103]~E(x61034,f178(f890(x61032,a881)))+E(f313(f313(f242(x61031,x61032),x61033),f313(f18(f890(x61032,a881),x61031),x61034)),f178(f890(f889(x61031,x61032),a881)))
% 119.46/119.24 [6104]~E(x61043,f178(f890(x61041,a881)))+E(f313(f313(f242(x61041,x61042),x61043),f313(f18(f890(x61042,a881),x61041),x61044)),f178(f890(f889(x61041,x61042),a881)))
% 119.46/119.24 [6160]E(x61601,f2(a883))+E(f313(f313(f126(x61602),x61601),f313(f313(f139(x61602),x61603),x61604)),f313(f313(f126(x61602),f313(f313(f3(a883),x61601),f71(a883))),x61604))
% 119.46/119.24 [6182]E(x61821,f178(f890(x61822,a881)))+E(f313(f296(x61822,x61823,f313(f18(x61823,x61822),x61824)),x61821),f313(f313(f295(x61823),x61824),f178(f890(x61823,a881))))
% 119.46/119.24 [6185]E(f313(f297(x61851,x61852,f313(f18(x61852,x61851),x61853)),x61854),f178(f890(x61851,a881)))+P1(f313(f313(f315(x61852),x61853),x61854))
% 119.46/119.24 [6254]~E(x62543,f178(f890(x62541,a881)))+E(f313(f313(f32(x62541,f890(x62542,a881)),x62543),f313(f18(f890(x62542,a881),x62541),x62544)),f230(f890(x62542,a881)))
% 119.46/119.24 [6255]~E(x62553,f178(f890(x62551,a881)))+E(f313(f313(f33(x62551,f890(x62552,a881)),x62553),f313(f18(f890(x62552,a881),x62551),x62554)),f178(f890(x62552,a881)))
% 119.46/119.24 [6257]~P66(x62571)+E(f38(x62571,f313(f313(f74(x62571),x62572),x62573),f313(f313(f74(x62571),x62572),x62574)),f313(f313(f74(x62571),x62572),f38(x62571,x62573,x62574)))
% 119.46/119.24 [6441]E(f313(f297(x64411,x64412,f313(f18(x64412,x64411),x64413)),x64414),f230(f890(x64411,a881)))+~P1(f313(f313(f315(x64412),x64413),x64414))
% 119.46/119.24 [6464]~P1(f313(f313(f315(x64641),x64642),x64644))+P1(f313(f313(f315(x64641),x64642),f313(f313(f295(x64641),x64643),x64644)))
% 119.46/119.24 [6465]~P1(f313(f313(f315(x64651),x64652),x64654))+P1(f313(f313(f315(x64651),x64652),f313(f313(f295(x64651),x64653),x64654)))
% 119.46/119.24 [6466]~P1(f313(f313(f315(x64661),x64662),x64664))+P1(f313(f313(f315(x64661),x64662),f313(f313(f295(x64661),x64663),x64664)))
% 119.46/119.24 [6471]P1(f313(x64711,x64712))+~P1(f313(f148(x64713,x64711),f313(f313(f139(x64713),x64712),x64714)))
% 119.46/119.24 [6480]~E(x64803,f313(f313(f3(a883),f313(f179(f885(x64801)),x64802)),f71(a883)))+E(f105(x64801,f313(f313(f147(x64801,x64802),x64803),x64804)),f105(x64801,x64802))
% 119.46/119.24 [6504]~P4(x65041)+E(f313(f313(f93(f890(x65041,a881)),f313(f287(x65041),x65042)),f289(x65041,x65043,x65044)),f289(x65041,x65043,f313(f313(f227(x65041),x65042),x65044)))
% 119.46/119.24 [6505]~P4(x65051)+E(f313(f313(f93(f890(x65051,a881)),f313(f269(x65051),x65052)),f289(x65051,x65053,x65054)),f289(x65051,f313(f313(f177(x65051),x65052),x65053),x65054))
% 119.46/119.24 [6519]E(f313(f313(f93(f890(x65191,a881)),x65192),f313(f313(f295(x65191),x65193),x65194)),f313(f313(f93(f890(x65191,a881)),x65192),x65194))+P1(f313(f313(f315(x65191),x65193),x65192))
% 119.46/119.24 [6520]E(f313(f313(f93(f890(x65201,a881)),x65202),f313(f313(f295(x65201),x65203),x65204)),f313(f313(f93(f890(x65201,a881)),x65202),x65204))+P1(f313(f313(f315(x65201),x65203),x65202))
% 119.46/119.24 [6532]E(f158(x65321,x65322,f313(f313(f122(x65321),x65323),x65324)),f313(f313(f122(x65321),x65323),f158(x65321,x65322,x65324)))+P1(f313(f313(f315(x65321),x65322),f313(f160(x65321),x65323)))
% 119.46/119.24 [6538]~P80(x65381)+E(f313(f313(f74(x65381),f313(f313(f232(x65381),x65382),x65383)),f313(f313(f232(x65381),x65382),x65384)),f313(f313(f232(x65381),x65382),f313(f313(f73(a883),x65383),x65384)))
% 119.46/119.24 [6539]~P120(x65391)+E(f313(f313(f74(x65391),f313(f313(f232(x65391),x65392),x65393)),f313(f313(f232(x65391),x65392),x65394)),f313(f313(f232(x65391),x65392),f313(f313(f73(a883),x65393),x65394)))
% 119.46/119.24 [6576]~P120(x65761)+E(f313(f313(f73(x65761),f313(f313(f74(x65761),x65762),x65763)),f313(f313(f74(x65761),x65762),x65764)),f313(f313(f74(x65761),x65762),f313(f313(f73(x65761),x65763),x65764)))
% 119.46/119.24 [6577]~P4(x65771)+E(f313(f313(f177(x65771),f313(f313(f227(x65771),x65772),x65773)),f313(f313(f227(x65771),x65772),x65774)),f313(f313(f227(x65771),x65772),f313(f313(f177(x65771),x65773),x65774)))
% 119.46/119.24 [6578]~P4(x65781)+E(f313(f313(f227(x65781),f313(f313(f177(x65781),x65782),x65783)),f313(f313(f177(x65781),x65782),x65784)),f313(f313(f177(x65781),x65782),f313(f313(f227(x65781),x65783),x65784)))
% 119.46/119.24 [6579]~P106(x65791)+E(f313(f313(f93(x65791),f313(f313(f92(x65791),x65792),x65793)),f313(f313(f92(x65791),x65792),x65794)),f313(f313(f92(x65791),x65792),f313(f313(f93(x65791),x65793),x65794)))
% 119.46/119.24 [6580]~P106(x65801)+E(f313(f313(f92(x65801),f313(f313(f93(x65801),x65802),x65803)),f313(f313(f93(x65801),x65802),x65804)),f313(f313(f93(x65801),x65802),f313(f313(f92(x65801),x65803),x65804)))
% 119.46/119.24 [6618]~P66(x66181)+E(f38(x66181,f313(f313(f74(x66181),x66182),x66183),f313(f313(f74(x66181),x66184),x66183)),f313(f313(f74(x66181),f38(x66181,x66182,x66184)),x66183))
% 119.46/119.24 [6621]~E(f313(f179(f885(x66211)),x66213),f313(f179(f885(x66212)),x66214))+E(f313(f313(f142(f889(x66211,x66212),x66212),f244(x66211,x66212)),f313(f313(f169(x66211,x66212),x66213),x66214)),x66214)
% 119.46/119.24 [6622]~E(f313(f179(f885(x66221)),x66223),f313(f179(f885(x66222)),x66224))+E(f313(f313(f142(f889(x66221,x66222),x66221),f239(x66221,x66222)),f313(f313(f169(x66221,x66222),x66223),x66224)),x66223)
% 119.46/119.24 [6627]P1(f313(f148(x66271,x66272),x66273))+~P1(f313(f148(x66271,x66272),f313(f313(f139(x66271),x66274),x66273)))
% 119.46/119.24 [6628]P1(f313(f148(x66281,x66282),x66283))+~P1(f313(f148(x66281,x66282),f313(f313(f122(x66281),x66284),x66283)))
% 119.46/119.24 [6629]P1(f313(f148(x66291,x66292),x66293))+~P1(f313(f148(x66291,x66292),f313(f313(f122(x66291),x66293),x66294)))
% 119.46/119.24 [6635]~P66(x66351)+E(f38(x66351,f313(f313(f74(x66351),x66352),f38(x66351,x66353,x66354)),x66354),f38(x66351,f313(f313(f74(x66351),x66352),x66353),x66354))
% 119.46/119.24 [6636]~P66(x66361)+E(f38(x66361,f313(f313(f73(x66361),x66362),f38(x66361,x66363,x66364)),x66364),f38(x66361,f313(f313(f73(x66361),x66362),x66363),x66364))
% 119.46/119.24 [6637]~P67(x66371)+E(f38(x66371,f313(f313(f3(x66371),x66372),f38(x66371,x66373,x66374)),x66374),f38(x66371,f313(f313(f3(x66371),x66372),x66373),x66374))
% 119.46/119.24 [6638]~P66(x66381)+E(f38(x66381,f313(f313(f73(x66381),x66382),f38(x66381,x66383,x66384)),x66384),f38(x66381,f313(f313(f73(x66381),x66382),x66383),x66384))
% 119.46/119.24 [6724]~P4(x67241)+E(f313(f313(f93(f890(x67241,a881)),f289(x67241,x67242,x67243)),f313(f287(x67241),x67244)),f289(x67241,x67242,f313(f313(f227(x67241),x67243),x67244)))
% 119.46/119.24 [6725]~P4(x67251)+E(f313(f313(f93(f890(x67251,a881)),f289(x67251,x67252,x67253)),f313(f269(x67251),x67254)),f289(x67251,f313(f313(f177(x67251),x67252),x67254),x67253))
% 119.46/119.24 [6728]~E(f313(f179(f885(x67281)),x67283),f313(f179(f885(x67282)),x67284))+E(f313(f313(f169(x67281,x67282),f313(f156(x67281),x67283)),f313(f156(x67282),x67284)),f313(f156(f889(x67281,x67282)),f313(f313(f169(x67281,x67282),x67283),x67284)))
% 119.46/119.24 [6741]E(x67411,f313(f313(f3(a883),f313(f179(f885(x67412)),x67413)),f71(a883)))+E(f105(x67412,f313(f313(f147(x67412,x67413),x67411),x67414)),f313(f313(f147(x67412,f105(x67412,x67413)),x67411),x67414))
% 119.46/119.24 [6757]~P1(f313(f125(x67572),x67574))+P1(f313(f125(f889(x67571,x67572)),f313(f313(f169(x67571,x67572),x67573),x67574)))
% 119.46/119.24 [6758]~P1(f313(f125(x67581),x67583))+P1(f313(f125(f889(x67581,x67582)),f313(f313(f169(x67581,x67582),x67583),x67584)))
% 119.46/119.24 [7037]E(f313(f313(f29(a883),x70371),x70372),x70373)+~P1(f313(f41(x70371,x70372),f313(f313(f240(a883,a883),x70373),x70374)))
% 119.46/119.24 [7062]E(f38(a883,x70621,x70622),x70623)+~P1(f313(f41(x70621,x70622),f313(f313(f240(a883,a883),x70624),x70623)))
% 119.46/119.24 [7065]P1(f313(f125(x70651),x70652))+~P1(f313(f125(x70653),f313(f313(f142(x70651,x70653),x70654),x70652)))
% 119.46/119.24 [7148]E(f158(x71481,x71482,f313(f313(f122(x71481),x71483),x71484)),f313(f313(f122(x71481),f158(x71481,x71482,x71483)),x71484))+~P1(f313(f313(f315(x71481),x71482),f313(f160(x71481),x71483)))
% 119.46/119.24 [7216]E(f313(f95(a883),x72161),f2(a883))+E(f313(f313(f126(x72162),f313(f95(a883),x72161)),f313(f313(f139(x72162),x72163),x72164)),f313(f313(f126(x72162),f313(f313(f3(a883),f313(f95(a883),x72161)),f71(a883))),x72164))
% 119.46/119.24 [7243]~P66(x72431)+E(f38(x72431,f313(f313(f74(x72431),f38(x72431,x72432,x72433)),x72434),x72433),f38(x72431,f313(f313(f74(x72431),x72432),x72434),x72433))
% 119.46/119.24 [7244]~P66(x72441)+E(f38(x72441,f313(f313(f73(x72441),f38(x72441,x72442,x72443)),x72444),x72443),f38(x72441,f313(f313(f73(x72441),x72442),x72444),x72443))
% 119.46/119.24 [7245]~P67(x72451)+E(f38(x72451,f313(f313(f3(x72451),f38(x72451,x72452,x72453)),x72454),x72453),f38(x72451,f313(f313(f3(x72451),x72452),x72454),x72453))
% 119.46/119.24 [7246]~P66(x72461)+E(f38(x72461,f313(f313(f74(x72461),f38(x72461,x72462,x72463)),x72464),x72463),f38(x72461,f313(f313(f74(x72461),x72462),x72464),x72463))
% 119.46/119.24 [7247]~P66(x72471)+E(f38(x72471,f313(f313(f73(x72471),f38(x72471,x72472,x72473)),x72474),x72473),f38(x72471,f313(f313(f73(x72471),x72472),x72474),x72473))
% 119.46/119.24 [7446]~E(x74461,f313(f313(f139(x74462),x74463),x74464))+~P1(f313(f313(f222(a883),f313(f179(f885(x74462)),x74461)),f313(f179(f885(x74462)),x74464)))
% 119.46/119.24 [7652]P24(x76521,x76522,x76523,f313(f160(x76521),x76524))+~P1(f313(f125(x76522),f313(f313(f142(x76521,x76522),x76523),x76524)))
% 119.46/119.24 [7727]~P1(f313(f313(f222(f890(x77271,a881)),x77272),x77274))+P1(f313(f313(f222(f890(x77271,a881)),x77272),f313(f313(f295(x77271),x77273),x77274)))
% 119.46/119.24 [7764]~P66(x77641)+E(f38(x77641,f313(f313(f74(x77641),f38(x77641,x77642,x77643)),f38(x77641,x77644,x77643)),x77643),f38(x77641,f313(f313(f74(x77641),x77642),x77644),x77643))
% 119.46/119.24 [7765]~P66(x77651)+E(f38(x77651,f313(f313(f73(x77651),f38(x77651,x77652,x77653)),f38(x77651,x77654,x77653)),x77653),f38(x77651,f313(f313(f73(x77651),x77652),x77654),x77653))
% 119.46/119.24 [7766]~P67(x77661)+E(f38(x77661,f313(f313(f3(x77661),f38(x77661,x77662,x77663)),f38(x77661,x77664,x77663)),x77663),f38(x77661,f313(f313(f3(x77661),x77662),x77664),x77663))
% 119.46/119.24 [7869]~E(f313(x78694,f370(x78694,x78693,x78691,x78692)),f178(f890(x78692,a881)))+E(f313(f313(f33(x78691,f890(x78692,a881)),x78693),x78694),f178(f890(x78692,a881)))
% 119.46/119.24 [7870]~E(f313(x78704,f486(x78704,x78703,x78701,x78702)),f230(f890(x78702,a881)))+E(f313(f313(f32(x78701,f890(x78702,a881)),x78703),x78704),f230(f890(x78702,a881)))
% 119.46/119.24 [7871]~E(f313(x78714,f489(x78714,x78713,x78712,x78711)),f230(f890(x78712,a881)))+E(f313(f313(f32(x78711,f890(x78712,a881)),x78713),x78714),f230(f890(x78712,a881)))
% 119.46/119.24 [7872]~E(f313(x78724,f373(x78724,x78723,x78722,x78721)),f178(f890(x78722,a881)))+E(f313(f313(f33(x78721,f890(x78722,a881)),x78723),x78724),f178(f890(x78722,a881)))
% 119.46/119.24 [8263]P1(f313(x82631,x82632))+~P1(f313(f313(f315(x82633),x82632),f313(f313(f93(f890(x82633,a881)),x82634),f313(f250(x82633),x82631))))
% 119.46/119.24 [8300]~P1(f313(f313(f222(f890(x83001,a881)),x83003),x83004))+P1(f313(f313(f222(f890(x83001,a881)),f313(f313(f295(x83001),x83002),x83003)),f313(f313(f295(x83001),x83002),x83004)))
% 119.46/119.24 [8344]P1(f313(f313(f315(x83441),x83442),x83443))+~P1(f313(f313(f315(x83441),x83442),f313(f313(f93(f890(x83441,a881)),x83443),f313(f250(x83441),x83444))))
% 119.46/119.24 [8476]P1(f313(x84762,x84763))+E(f313(f313(f126(x84761),f313(f179(f885(x84761)),f165(x84761,x84762,f313(f313(f139(x84761),x84763),x84764)))),f313(f313(f139(x84761),x84763),x84764)),f313(f313(f139(x84761),x84763),x84764))
% 119.46/119.24 [8586]~P1(f313(f313(f223(a883),f313(x85864,x85862)),f313(x85864,x85863)))+P1(f313(f313(f315(f889(x85861,x85861)),f313(f313(f240(x85861,x85861),x85862),x85863)),f313(f313(f274(a883,x85861),a228),x85864)))
% 119.46/119.24 [8677]~P1(f313(x86772,f759(x86774,x86772,x86773,x86771)))+E(f165(x86771,x86772,f313(f313(f122(x86771),x86773),x86774)),f313(f313(f122(x86771),x86773),f165(x86771,x86772,x86774)))
% 119.46/119.24 [8743]P24(f885(x87431),f885(x87432),f313(f142(x87431,x87432),x87433),x87434)+~P24(x87431,x87432,x87433,f30(f890(x87431,a881),f313(f296(f885(x87431),f890(x87431,a881),f160(x87431)),x87434)))
% 119.46/119.24 [8811]~P1(f313(x88112,x88113))+E(f313(f313(f126(x88111),f313(f179(f885(x88111)),f165(x88111,x88112,f313(f313(f139(x88111),x88113),x88114)))),f313(f313(f139(x88111),x88113),x88114)),f313(f313(f126(x88111),f313(f179(f885(x88111)),f165(x88111,x88112,x88114))),x88114))
% 119.46/119.24 [8850]~E(x88502,x88503)+E(f313(f124(x88501,f313(f313(f10(a881,a881,x88501),a308),f313(a310,x88502))),f313(f313(f139(x88501),x88503),x88504)),f313(f124(x88501,f313(f313(f10(a881,a881,x88501),a308),f313(a310,x88502))),x88504))
% 119.46/119.24 [8860]E(f313(f313(f33(x88601,f890(x88602,a881)),x88603),x88604),f178(f890(x88602,a881)))+P1(f313(f313(f315(x88601),f370(x88604,x88603,x88601,x88602)),x88603))
% 119.46/119.24 [8861]E(f313(f313(f32(x88611,f890(x88612,a881)),x88613),x88614),f230(f890(x88612,a881)))+P1(f313(f313(f315(x88611),f486(x88614,x88613,x88611,x88612)),x88613))
% 119.46/119.24 [8862]E(f313(f313(f32(x88621,f890(x88622,a881)),x88623),x88624),f230(f890(x88622,a881)))+P1(f313(f313(f315(x88621),f489(x88624,x88623,x88622,x88621)),x88623))
% 119.46/119.24 [8863]E(f313(f313(f33(x88631,f890(x88632,a881)),x88633),x88634),f178(f890(x88632,a881)))+P1(f313(f313(f315(x88631),f373(x88634,x88633,x88632,x88631)),x88633))
% 119.46/119.24 [8899]P1(f313(f313(f223(a883),f313(x88991,x88992)),f313(x88991,x88993)))+~P1(f313(f313(f315(f889(x88994,x88994)),f313(f313(f240(x88994,x88994),x88992),x88993)),f313(f313(f274(a883,x88994),a228),x88991)))
% 119.46/119.24 [8926]E(f165(x89261,x89262,f313(f313(f122(x89261),x89263),x89264)),f313(f313(f122(x89261),x89263),f165(x89261,x89262,x89264)))+P1(f313(f313(f315(x89261),f759(x89264,x89262,x89263,x89261)),f313(f160(x89261),x89263)))
% 119.46/119.24 [9082]P1(f313(f313(f315(x90821),f453(x90822,x90823,x90824,x90821)),x90823))+~P1(f313(f313(f315(f890(x90821,a881)),x90824),f313(f313(f53(x90821),x90823),x90822)))
% 119.46/119.24 [9085]E(x90851,x90852)+~P1(f313(f313(f315(f889(x90853,x90853)),f313(f313(f240(x90853,x90853),x90851),x90852)),f313(f313(f171(f889(x90853,x90853),a881),f2(a883)),x90854)))
% 119.46/119.24 [9165]E(f313(f271(x91651,x91651,x91652),f313(f313(f295(x91651),f453(x91652,x91653,x91654,x91651)),f178(f890(x91651,a881)))),x91654)+~P1(f313(f313(f315(f890(x91651,a881)),x91654),f313(f313(f53(x91651),x91653),x91652)))
% 119.46/119.24 [9170]~P1(f313(f313(f315(f889(x91701,x91701)),f313(f313(f240(x91701,x91701),x91703),x91702)),f293(x91701,x91704)))+P1(f313(f313(f315(f889(x91701,x91701)),f313(f313(f240(x91701,x91701),x91702),x91703)),f293(x91701,f313(f272(x91701,x91701),x91704))))
% 119.46/119.24 [9183]~P66(x91831)+E(f313(f313(f73(x91831),f313(f313(f73(x91831),f313(f313(f74(x91831),x91832),f313(f313(f29(x91831),x91833),x91832))),f38(x91831,x91833,x91832))),x91834),f313(f313(f73(x91831),x91833),x91834))
% 119.46/119.24 [9194]~P1(f313(f313(f315(x91941),x91943),x91944))+P1(f313(f313(f315(f890(x91941,a881)),f313(f271(x91941,x91941,x91942),f313(f313(f295(x91941),x91943),f178(f890(x91941,a881))))),f313(f313(f53(x91941),x91944),x91942)))
% 119.46/119.24 [9206]P1(f313(f313(f315(f889(x92061,x92061)),f313(f313(f240(x92061,x92061),x92062),x92063)),f293(x92061,x92064)))+~P1(f313(f313(f315(f889(x92061,x92061)),f313(f313(f240(x92061,x92061),x92063),x92062)),f293(x92061,f313(f272(x92061,x92061),x92064))))
% 119.46/119.24 [9291]E(f313(f313(f147(x92911,f313(f156(x92911),x92912)),f313(f313(f3(a883),f313(f313(f3(a883),f313(f179(f885(x92911)),x92912)),x92913)),f71(a883))),x92914),f313(f156(x92911),f313(f313(f147(x92911,x92912),x92913),x92914)))+~P1(f313(f313(f223(a883),x92913),f313(f179(f885(x92911)),x92912)))
% 119.46/119.24 [9295]~P1(f313(x92952,f750(x92954,x92952,x92953,x92951)))+E(f313(f313(f126(x92951),f313(f179(f885(x92951)),f165(x92951,x92952,f313(f313(f122(x92951),x92953),x92954)))),f313(f313(f122(x92951),x92953),x92954)),f313(f313(f126(x92951),f313(f179(f885(x92951)),f165(x92951,x92952,x92954))),x92954))
% 119.46/119.24 [9338]~P24(x93382,x93381,x93383,f230(f890(x93382,a881)))+P1(f313(f313(f222(f890(x93381,a881)),f313(f296(x93382,x93381,x93383),f313(f72(f890(x93382,a881)),x93384))),f313(f72(f890(x93381,a881)),f313(f296(x93382,x93381,x93383),x93384))))
% 119.46/119.24 [9350]~P5(x93501)+E(f313(f130(x93501,x93502,f313(f9(x93502,x93501,x93501),f313(f313(f10(x93501,f890(x93501,x93501),x93502),f93(x93501)),x93503)),f230(x93501)),x93504),f313(f313(f32(x93502,x93501),f313(f160(x93502),x93504)),x93503))
% 119.46/119.24 [9351]~P5(x93511)+E(f313(f130(x93511,x93512,f313(f9(x93512,x93511,x93511),f313(f313(f10(x93511,f890(x93511,x93511),x93512),f92(x93511)),x93513)),f178(x93511)),x93514),f313(f313(f33(x93512,x93511),f313(f160(x93512),x93514)),x93513))
% 119.46/119.24 [9362]E(f313(f313(f126(x93621),f313(f179(f885(x93621)),f165(x93621,x93622,f313(f313(f122(x93621),x93623),x93624)))),f313(f313(f122(x93621),x93623),x93624)),f313(f313(f126(x93621),f313(f179(f885(x93621)),f165(x93621,x93622,x93624))),x93624))+P1(f313(f313(f315(x93621),f750(x93624,x93622,x93623,x93621)),f313(f160(x93621),x93623)))
% 119.46/119.24 [9430]~P1(f313(f313(f315(f889(f885(x94304),f885(x94304))),f313(f313(f240(f885(x94304),f885(x94304)),x94303),x94302)),f145(x94304,x94301)))+P1(f313(f313(f223(a883),f689(x94301,x94302,x94303,x94304)),f313(f179(f885(x94304)),x94303)))
% 119.46/119.24 [9431]~P66(x94311)+E(f313(f313(f73(x94311),f313(f313(f73(x94311),f313(f313(f74(x94311),f313(f313(f29(x94311),x94312),x94313)),x94313)),f38(x94311,x94312,x94313))),x94314),f313(f313(f73(x94311),x94312),x94314))
% 119.46/119.24 [9459]~P1(f313(f313(f315(f889(f885(x94591),f885(x94591))),f313(f313(f240(f885(x94591),f885(x94591)),x94592),x94593)),f313(f272(f885(x94591),f885(x94591)),f145(x94591,x94594))))+P1(f313(f313(f315(f889(f885(x94591),f885(x94591))),f313(f313(f240(f885(x94591),f885(x94591)),x94592),x94593)),f145(x94591,f313(f272(x94591,x94591),x94594))))
% 119.46/119.24 [9460]P1(f313(f313(f315(f889(f885(x94601),f885(x94601))),f313(f313(f240(f885(x94601),f885(x94601)),x94602),x94603)),f313(f272(f885(x94601),f885(x94601)),f145(x94601,x94604))))+~P1(f313(f313(f315(f889(f885(x94601),f885(x94601))),f313(f313(f240(f885(x94601),f885(x94601)),x94602),x94603)),f145(x94601,f313(f272(x94601,x94601),x94604))))
% 119.46/119.24 [9504]~P1(f313(f313(f315(x95041),x95043),f313(f252(x95041,x95042),x95044)))+P1(f313(f313(f315(f889(x95041,x95042)),f313(f313(f240(x95041,x95042),x95043),f559(x95044,x95042,x95043,x95041))),x95044))
% 119.46/119.24 [9505]~P1(f313(f313(f315(x95051),x95053),f313(f252(x95051,x95052),x95054)))+P1(f313(f313(f315(f889(x95051,x95052)),f313(f313(f240(x95051,x95052),x95053),f561(x95054,x95052,x95053,x95051))),x95054))
% 119.46/119.24 [9659]~P1(f313(f313(f315(f889(x96591,x96591)),f313(f313(f240(x96591,x96591),x96592),x96594)),f313(f313(f275(x96591,x96591,x96591),x96593),f293(x96591,x96593))))+P1(f313(f313(f315(f889(x96591,x96591)),f313(f313(f240(x96591,x96591),x96592),f622(x96593,x96594,x96592,x96591))),x96593))
% 119.46/119.24 [9837]~P1(f313(f313(f315(f889(x98372,x98371)),x98374),f313(f272(x98371,x98372),x98373)))+P1(f313(f313(f315(f889(x98371,x98372)),f313(f313(f240(x98371,x98372),f658(x98373,x98374,x98371,x98372)),f657(x98373,x98374,x98371,x98372))),x98373))
% 119.46/119.24 [9862]~P1(f313(f313(f315(f889(f885(x98621),f885(x98621))),f313(f313(f240(f885(x98621),f885(x98621)),x98624),x98623)),f145(x98621,x98622)))+P1(f313(f313(f315(f889(x98621,x98621)),f313(f313(f240(x98621,x98621),f694(x98622,x98623,x98624,x98621)),f695(x98622,x98623,x98624,x98621))),x98622))
% 119.46/119.24 [9947]~P1(f313(f313(f315(f889(f885(x99471),f885(x99471))),f313(f313(f240(f885(x99471),f885(x99471)),x99472),x99474)),f145(x99471,x99473)))+P1(f313(f313(f315(f889(x99471,x99471)),f313(f313(f240(x99471,x99471),f313(f313(f152(x99471),x99472),f689(x99473,x99474,x99472,x99471))),f690(x99473,x99474,x99472,x99471))),x99473))
% 119.46/119.24 [9967]~P1(f313(f54(x99672),x99674))+E(f313(f313(f313(f58(f890(x99671,a881),x99672,f92(f890(x99671,a881))),f313(f313(f9(x99672,f890(x99671,a881),f890(x99671,a881)),f313(f313(f10(x99671,f890(f890(x99671,a881),f890(x99671,a881)),x99672),f295(x99671)),x99673)),f178(f890(x99671,a881)))),f178(f890(x99671,a881))),x99674),f313(f296(x99672,x99671,x99673),x99674))
% 119.46/119.24 [10082]~P24(x100821,x100822,x100823,f230(f890(x100821,a881)))+P1(f313(f313(f222(f890(x100821,a881)),f313(f297(x100821,x100822,x100823),f313(f313(f295(x100822),x100824),f178(f890(x100822,a881))))),f313(f313(f295(x100821),f78(x100821,f313(f313(f9(x100821,x100822,a881),f313(f313(f10(x100822,f890(x100822,a881),x100821),a310),x100823)),x100824))),f178(f890(x100821,a881)))))
% 119.46/119.24 [5601]~E(f313(f313(f122(x56011),x56012),x56014),x56013)+E(f313(f313(f163(x56011),f313(f179(f885(x56011)),x56012)),x56013),x56012)
% 119.46/119.24 [5602]~E(f313(f313(f122(x56022),x56023),x56021),x56024)+E(x56021,f313(f313(f126(x56022),f313(f179(f885(x56022)),x56023)),x56024))
% 119.46/119.24 [5613]~E(x56134,f2(a883))+E(f313(f313(f152(x56131),f313(f313(f139(x56131),x56132),x56133)),x56134),x56132)
% 119.46/119.24 [6174]~P120(x61741)+E(f313(f313(f232(x61741),f313(f313(f232(x61741),x61742),x61743)),x61744),f313(f313(f232(x61741),x61742),f313(f313(f74(a883),x61743),x61744)))
% 119.46/119.24 [6175]~P80(x61751)+E(f313(f313(f232(x61751),f313(f313(f232(x61751),x61752),x61753)),x61754),f313(f313(f232(x61751),x61752),f313(f313(f74(a883),x61753),x61754)))
% 119.46/119.24 [6183]E(x61831,f2(a883))+E(f313(f313(f152(x61832),f313(f313(f139(x61832),x61833),x61834)),x61831),f313(f313(f152(x61832),x61834),f313(f313(f3(a883),x61831),f71(a883))))
% 119.46/119.24 [6211]~P120(x62111)+E(f313(f313(f74(x62111),f313(f313(f74(x62111),x62112),x62113)),x62114),f313(f313(f74(x62111),x62112),f313(f313(f74(x62111),x62113),x62114)))
% 119.46/119.24 [6212]~P126(x62121)+E(f313(f313(f277(x62121),f313(f313(f74(x62121),x62122),x62123)),x62124),f313(f313(f74(x62121),x62122),f313(f313(f277(x62121),x62123),x62124)))
% 119.46/119.24 [6213]~P120(x62131)+E(f313(f313(f73(x62131),f313(f313(f73(x62131),x62132),x62133)),x62134),f313(f313(f73(x62131),x62132),f313(f313(f73(x62131),x62133),x62134)))
% 119.46/119.24 [6215]~P64(x62151)+E(f313(f313(f74(x62151),f313(f313(f74(x62151),x62152),x62153)),x62154),f313(f313(f74(x62151),x62152),f313(f313(f74(x62151),x62153),x62154)))
% 119.46/119.24 [6216]~P120(x62161)+E(f313(f313(f74(x62161),f313(f313(f74(x62161),x62162),x62163)),x62164),f313(f313(f74(x62161),x62162),f313(f313(f74(x62161),x62163),x62164)))
% 119.46/119.24 [6217]~P120(x62171)+E(f313(f313(f73(x62171),f313(f313(f73(x62171),x62172),x62173)),x62174),f313(f313(f73(x62171),x62172),f313(f313(f73(x62171),x62173),x62174)))
% 119.46/119.24 [6218]~P74(x62181)+E(f313(f313(f73(x62181),f313(f313(f73(x62181),x62182),x62183)),x62184),f313(f313(f73(x62181),x62182),f313(f313(f73(x62181),x62183),x62184)))
% 119.46/119.24 [6219]~P4(x62191)+E(f313(f313(f227(x62191),f313(f313(f227(x62191),x62192),x62193)),x62194),f313(f313(f227(x62191),x62192),f313(f313(f227(x62191),x62193),x62194)))
% 119.46/119.24 [6220]~P4(x62201)+E(f313(f313(f227(x62201),f313(f313(f227(x62201),x62202),x62203)),x62204),f313(f313(f227(x62201),x62202),f313(f313(f227(x62201),x62203),x62204)))
% 119.46/119.24 [6221]~P4(x62211)+E(f313(f313(f177(x62211),f313(f313(f177(x62211),x62212),x62213)),x62214),f313(f313(f177(x62211),x62212),f313(f313(f177(x62211),x62213),x62214)))
% 119.46/119.24 [6222]~P4(x62221)+E(f313(f313(f177(x62221),f313(f313(f177(x62221),x62222),x62223)),x62224),f313(f313(f177(x62221),x62222),f313(f313(f177(x62221),x62223),x62224)))
% 119.46/119.24 [6223]~P102(x62231)+E(f313(f313(f92(x62231),f313(f313(f92(x62231),x62232),x62233)),x62234),f313(f313(f92(x62231),x62232),f313(f313(f92(x62231),x62233),x62234)))
% 119.46/119.24 [6224]~P102(x62241)+E(f313(f313(f92(x62241),f313(f313(f92(x62241),x62242),x62243)),x62244),f313(f313(f92(x62241),x62242),f313(f313(f92(x62241),x62243),x62244)))
% 119.46/119.24 [6225]~P103(x62251)+E(f313(f313(f92(x62251),f313(f313(f92(x62251),x62252),x62253)),x62254),f313(f313(f92(x62251),x62252),f313(f313(f92(x62251),x62253),x62254)))
% 119.46/119.24 [6226]~P103(x62261)+E(f313(f313(f93(x62261),f313(f313(f93(x62261),x62262),x62263)),x62264),f313(f313(f93(x62261),x62262),f313(f313(f93(x62261),x62263),x62264)))
% 119.46/119.24 [6227]~P108(x62271)+E(f313(f313(f93(x62271),f313(f313(f93(x62271),x62272),x62273)),x62274),f313(f313(f93(x62271),x62272),f313(f313(f93(x62271),x62273),x62274)))
% 119.46/119.24 [6228]~P108(x62281)+E(f313(f313(f93(x62281),f313(f313(f93(x62281),x62282),x62283)),x62284),f313(f313(f93(x62281),x62282),f313(f313(f93(x62281),x62283),x62284)))
% 119.46/119.24 [6237]~P66(x62371)+E(f38(x62371,f313(f313(f73(x62371),x62372),f313(f313(f74(x62371),x62373),x62374)),x62374),f38(x62371,x62372,x62374))
% 119.46/119.24 [6238]~P66(x62381)+E(f38(x62381,f313(f313(f73(x62381),x62382),f313(f313(f74(x62381),x62383),x62384)),x62383),f38(x62381,x62382,x62383))
% 119.46/119.24 [6384]E(f313(f313(f152(x63841),f313(f313(f163(x63841),x63842),x63843)),x63844),f313(f313(f152(x63841),x63843),x63844))+~P1(f313(f313(f223(a883),x63844),x63842))
% 119.46/119.24 [6572]~E(x65722,x65724)+P1(f313(f313(f160(x65721),f313(f313(f139(x65721),x65722),x65723)),x65724))
% 119.46/119.24 [6574]~P120(x65741)+E(f313(f313(f74(x65741),f313(f313(f74(x65741),x65742),x65743)),x65744),f313(f313(f74(x65741),f313(f313(f74(x65741),x65742),x65744)),x65743))
% 119.46/119.24 [6575]~P120(x65751)+E(f313(f313(f73(x65751),f313(f313(f73(x65751),x65752),x65753)),x65754),f313(f313(f73(x65751),f313(f313(f73(x65751),x65752),x65754)),x65753))
% 119.46/119.24 [6641]~P2(x66412)+E(f313(f313(f8(x66411,x66412),f313(f18(x66412,x66411),x66413)),x66414),f313(f313(f74(x66412),f313(f91(x66412),f313(f28(x66411),x66414))),x66413))
% 119.46/119.24 [6822]E(f313(f313(f93(f890(x68221,a881)),f313(f313(f295(x68221),x68222),x68223)),x68224),f313(f313(f93(f890(x68221,a881)),x68223),x68224))+P1(f313(f313(f315(x68221),x68222),x68224))
% 119.46/119.24 [6823]E(f313(f313(f93(f890(x68231,a881)),f313(f313(f295(x68231),x68232),x68233)),x68234),f313(f313(f93(f890(x68231,a881)),x68233),x68234))+P1(f313(f313(f315(x68231),x68232),x68234))
% 119.46/119.24 [6897]~P75(x68971)+E(f313(f313(f74(x68971),f313(f313(f232(x68971),x68972),x68973)),f313(f313(f232(x68971),x68974),x68973)),f313(f313(f232(x68971),f313(f313(f74(x68971),x68972),x68974)),x68973))
% 119.46/119.24 [6898]~P120(x68981)+E(f313(f313(f74(x68981),f313(f313(f232(x68981),x68982),x68983)),f313(f313(f232(x68981),x68984),x68983)),f313(f313(f232(x68981),f313(f313(f74(x68981),x68982),x68984)),x68983))
% 119.46/119.24 [6899]~P70(x68991)+E(f313(f313(f277(x68991),f313(f313(f232(x68991),x68992),x68993)),f313(f313(f232(x68991),x68994),x68993)),f313(f313(f232(x68991),f313(f313(f277(x68991),x68992),x68994)),x68993))
% 119.46/119.24 [6900]~P120(x69001)+E(f313(f313(f73(x69001),f313(f313(f74(x69001),x69002),x69003)),f313(f313(f74(x69001),x69004),x69003)),f313(f313(f74(x69001),f313(f313(f73(x69001),x69002),x69004)),x69003))
% 119.46/119.24 [6901]~P123(x69011)+E(f313(f313(f73(x69011),f313(f313(f74(x69011),x69012),x69013)),f313(f313(f74(x69011),x69014),x69013)),f313(f313(f74(x69011),f313(f313(f73(x69011),x69012),x69014)),x69013))
% 119.46/119.24 [6902]~P88(x69021)+E(f313(f313(f227(x69021),f313(f313(f73(x69021),x69022),x69023)),f313(f313(f73(x69021),x69024),x69023)),f313(f313(f73(x69021),f313(f313(f227(x69021),x69022),x69024)),x69023))
% 119.46/119.24 [6903]~P88(x69031)+E(f313(f313(f177(x69031),f313(f313(f73(x69031),x69032),x69033)),f313(f313(f73(x69031),x69034),x69033)),f313(f313(f73(x69031),f313(f313(f177(x69031),x69032),x69034)),x69033))
% 119.46/119.24 [6904]~P87(x69041)+E(f313(f313(f227(x69041),f313(f313(f3(x69041),x69042),x69043)),f313(f313(f3(x69041),x69044),x69043)),f313(f313(f3(x69041),f313(f313(f227(x69041),x69042),x69044)),x69043))
% 119.46/119.24 [6905]~P87(x69051)+E(f313(f313(f177(x69051),f313(f313(f3(x69051),x69052),x69053)),f313(f313(f3(x69051),x69054),x69053)),f313(f313(f3(x69051),f313(f313(f177(x69051),x69052),x69054)),x69053))
% 119.46/119.24 [6906]~P126(x69061)+E(f313(f313(f73(x69061),f313(f313(f277(x69061),x69062),x69063)),f313(f313(f277(x69061),x69064),x69063)),f313(f313(f277(x69061),f313(f313(f73(x69061),x69062),x69064)),x69063))
% 119.46/119.24 [6907]~P126(x69071)+E(f313(f313(f3(x69071),f313(f313(f277(x69071),x69072),x69073)),f313(f313(f277(x69071),x69074),x69073)),f313(f313(f277(x69071),f313(f313(f3(x69071),x69072),x69074)),x69073))
% 119.46/119.24 [6908]~P4(x69081)+E(f313(f313(f177(x69081),f313(f313(f227(x69081),x69082),x69083)),f313(f313(f227(x69081),x69084),x69083)),f313(f313(f227(x69081),f313(f313(f177(x69081),x69082),x69084)),x69083))
% 119.46/119.24 [6909]~P4(x69091)+E(f313(f313(f227(x69091),f313(f313(f177(x69091),x69092),x69093)),f313(f313(f177(x69091),x69094),x69093)),f313(f313(f177(x69091),f313(f313(f227(x69091),x69092),x69094)),x69093))
% 119.46/119.24 [6910]~P106(x69101)+E(f313(f313(f93(x69101),f313(f313(f92(x69101),x69102),x69103)),f313(f313(f92(x69101),x69104),x69103)),f313(f313(f92(x69101),f313(f313(f93(x69101),x69102),x69104)),x69103))
% 119.46/119.24 [6911]~P106(x69111)+E(f313(f313(f92(x69111),f313(f313(f93(x69111),x69112),x69113)),f313(f313(f93(x69111),x69114),x69113)),f313(f313(f93(x69111),f313(f313(f92(x69111),x69112),x69114)),x69113))
% 119.46/119.24 [6912]~P120(x69121)+E(f313(f313(f73(x69121),f313(f313(f74(x69121),x69122),x69123)),f313(f313(f74(x69121),x69124),x69123)),f313(f313(f74(x69121),f313(f313(f73(x69121),x69122),x69124)),x69123))
% 119.46/119.24 [6946]E(f313(f313(f147(x69461,x69462),x69463),x69464),x69462)+~P1(f313(f313(f222(a883),f313(f179(f885(x69461)),x69462)),x69463))
% 119.46/119.24 [6975]~P1(f313(x69753,x69754))+P1(f313(f313(f313(f92(f890(x69751,a881)),x69752),x69753),x69754))
% 119.46/119.24 [6976]~P1(f313(x69763,x69764))+P1(f313(f313(f313(f92(f890(x69761,a881)),x69762),x69763),x69764))
% 119.46/119.24 [6977]~P1(f313(x69772,x69774))+P1(f313(f313(f313(f92(f890(x69771,a881)),x69772),x69773),x69774))
% 119.46/119.24 [6978]~P1(f313(x69782,x69784))+P1(f313(f313(f313(f92(f890(x69781,a881)),x69782),x69783),x69784))
% 119.46/119.24 [6999]E(f313(f313(f152(x69991),f313(f313(f122(x69991),x69992),x69993)),x69994),f313(f313(f152(x69991),x69992),x69994))+~P1(f313(f313(f223(a883),x69994),f313(f179(f885(x69991)),x69992)))
% 119.46/119.24 [7008]E(f313(f313(f3(f890(x70081,a881)),f313(f313(f295(x70081),x70082),x70083)),x70084),f313(f313(f3(f890(x70081,a881)),x70083),x70084))+~P1(f313(f313(f315(x70081),x70082),x70084))
% 119.46/119.24 [7009]E(f313(f313(f3(f890(x70091,a881)),f313(f313(f295(x70091),x70092),x70093)),x70094),f313(f313(f3(f890(x70091,a881)),x70093),x70094))+~P1(f313(f313(f315(x70091),x70092),x70094))
% 119.46/119.24 [7051]~E(f127(a883,f313(f288(a883,x70511),x70512)),f313(f313(f139(a883),x70514),x70513))+E(f127(a883,f313(f288(a883,f313(f313(f73(a883),x70511),f71(a883))),x70512)),x70513)
% 119.46/119.24 [7073]~P1(f313(f313(f160(x70731),x70733),x70734))+P1(f313(f313(f160(x70731),f313(f313(f139(x70731),x70732),x70733)),x70734))
% 119.46/119.24 [7123]E(x71231,f2(a883))+E(f313(f313(f139(x71232),x71233),f313(f313(f163(x71232),f313(f313(f3(a883),x71231),f71(a883))),x71234)),f313(f313(f163(x71232),x71231),f313(f313(f139(x71232),x71233),x71234)))
% 119.46/119.24 [7227]E(f313(f313(f152(x72271),x72272),f313(f313(f3(a883),x72273),f313(f179(f885(x72271)),x72274))),f313(f313(f152(x72271),f313(f313(f122(x72271),x72274),x72272)),x72273))+P1(f313(f313(f223(a883),x72273),f313(f179(f885(x72271)),x72274)))
% 119.46/119.24 [7254]E(f313(f313(f93(f890(x72541,a881)),x72542),f313(f313(f295(x72541),x72543),x72544)),f313(f313(f295(x72541),x72543),f313(f313(f93(f890(x72541,a881)),x72542),x72544)))+~P1(f313(f313(f315(x72541),x72543),x72542))
% 119.46/119.24 [7255]E(f313(f313(f93(f890(x72551,a881)),x72552),f313(f313(f295(x72551),x72553),x72554)),f313(f313(f295(x72551),x72553),f313(f313(f93(f890(x72551,a881)),x72552),x72554)))+~P1(f313(f313(f315(x72551),x72553),x72552))
% 119.46/119.24 [7293]E(f313(f313(f152(x72931),f313(f313(f147(x72931,x72932),x72933),x72934)),x72933),x72934)+~P1(f313(f313(f223(a883),x72933),f313(f179(f885(x72931)),x72932)))
% 119.46/119.24 [7315]E(x73151,f178(f890(x73152,a881)))+E(f313(f296(f889(x73153,x73152),x73153,f239(x73153,x73152)),f313(f313(f242(x73153,x73152),x73154),f313(f18(f890(x73152,a881),x73153),x73151))),x73154)
% 119.46/119.24 [7316]E(x73161,f178(f890(x73162,a881)))+E(f313(f296(f889(x73162,x73163),x73163,f244(x73162,x73163)),f313(f313(f242(x73162,x73163),x73161),f313(f18(f890(x73163,a881),x73162),x73164))),x73164)
% 119.46/119.24 [7393]E(f313(f313(f3(f890(x73931,a881)),f313(f313(f295(x73931),x73932),x73933)),x73934),f313(f313(f295(x73931),x73932),f313(f313(f3(f890(x73931,a881)),x73933),x73934)))+P1(f313(f313(f315(x73931),x73932),x73934))
% 119.46/119.24 [7431]~E(x74314,f178(f890(x74312,a881)))+E(f313(f296(f889(x74311,x74312),x74311,f239(x74311,x74312)),f313(f313(f242(x74311,x74312),x74313),f313(f18(f890(x74312,a881),x74311),x74314))),f178(f890(x74311,a881)))
% 119.46/119.24 [7432]~E(x74323,f178(f890(x74321,a881)))+E(f313(f296(f889(x74321,x74322),x74322,f244(x74321,x74322)),f313(f313(f242(x74321,x74322),x74323),f313(f18(f890(x74322,a881),x74321),x74324))),f178(f890(x74322,a881)))
% 119.46/119.24 [7483]~P1(f313(f313(f315(x74831),x74832),x74834))+P1(f313(f313(f315(x74831),x74832),f313(f313(f92(f890(x74831,a881)),x74833),x74834)))
% 119.46/119.24 [7484]~P1(f313(f313(f315(x74841),x74842),x74844))+P1(f313(f313(f315(x74841),x74842),f313(f313(f92(f890(x74841,a881)),x74843),x74844)))
% 119.46/119.24 [7485]~P1(f313(f313(f315(x74851),x74852),x74854))+P1(f313(f313(f315(x74851),x74852),f313(f313(f92(f890(x74851,a881)),x74853),x74854)))
% 119.46/119.24 [7486]~P1(f313(f313(f315(x74861),x74862),x74863))+P1(f313(f313(f315(x74861),x74862),f313(f313(f92(f890(x74861,a881)),x74863),x74864)))
% 119.46/119.24 [7487]~P1(f313(f313(f315(x74871),x74872),x74873))+P1(f313(f313(f315(x74871),x74872),f313(f313(f92(f890(x74871,a881)),x74873),x74874)))
% 119.46/119.24 [7488]~P1(f313(f313(f315(x74881),x74882),x74883))+P1(f313(f313(f315(x74881),x74882),f313(f313(f92(f890(x74881,a881)),x74883),x74884)))
% 119.46/119.24 [7505]E(f313(f313(f93(f890(x75051,a881)),f313(f313(f295(x75051),x75052),x75053)),x75054),f313(f313(f295(x75051),x75052),f313(f313(f93(f890(x75051,a881)),x75053),x75054)))+~P1(f313(f313(f315(x75051),x75052),x75054))
% 119.46/119.24 [7506]E(f313(f313(f93(f890(x75061,a881)),f313(f313(f295(x75061),x75062),x75063)),x75064),f313(f313(f295(x75061),x75062),f313(f313(f93(f890(x75061,a881)),x75063),x75064)))+~P1(f313(f313(f315(x75061),x75062),x75064))
% 119.46/119.24 [7784]P1(f313(x77841,x77842))+~P1(f313(f313(f313(f93(f890(x77843,a881)),x77844),x77841),x77842))
% 119.46/119.24 [7785]P1(f313(x77851,x77852))+~P1(f313(f313(f313(f93(f890(x77853,a881)),x77851),x77854),x77852))
% 119.46/119.24 [7786]P1(f313(x77861,x77862))+~P1(f313(f313(f313(f93(f890(x77863,a881)),x77864),x77861),x77862))
% 119.46/119.24 [7787]P1(f313(x77871,x77872))+~P1(f313(f313(f313(f93(f890(x77873,a881)),x77871),x77874),x77872))
% 119.46/119.24 [7788]E(f313(f313(f8(x77881,a883),x77882),f313(f313(f3(f890(x77881,a881)),x77883),f313(f313(f295(x77881),x77884),f178(f890(x77881,a881))))),f313(f313(f8(x77881,a883),x77882),x77883))+P1(f313(f313(f315(x77881),x77884),x77883))
% 119.46/119.24 [7793]~P79(x77931)+E(f313(f153(x77931),f313(f313(f142(a883,x77931),x77932),f127(a883,f313(f288(a883,x77933),x77934)))),f313(f313(f8(a883,x77931),x77932),f313(f160(a883),f127(a883,f313(f288(a883,x77933),x77934)))))
% 119.46/119.24 [7794]~P79(x77941)+E(f313(f313(f8(a883,x77941),x77942),f313(f160(a883),f127(a883,f313(f288(a883,x77943),x77944)))),f313(f153(x77941),f313(f313(f142(a883,x77941),x77942),f127(a883,f313(f288(a883,x77943),x77944)))))
% 119.46/119.24 [7908]~E(x79083,x79084)+P1(f313(f55(x79081,x79082,f313(f313(f295(x79081),x79083),f178(f890(x79081,a881)))),x79084))
% 119.46/119.24 [8004]P1(f313(f313(f315(x80041),x80042),f313(f160(x80041),x80043)))+~P1(f313(f313(f315(x80041),x80042),f313(f160(x80041),f313(f313(f163(x80041),x80044),x80043))))
% 119.46/119.24 [8005]P1(f313(f313(f315(x80051),x80052),f313(f160(x80051),x80053)))+~P1(f313(f313(f315(x80051),x80052),f313(f160(x80051),f313(f313(f126(x80051),x80054),x80053))))
% 119.46/119.24 [8074]P1(f313(f313(f315(x80741),x80742),x80743))+~P1(f313(f313(f315(x80741),x80742),f313(f313(f93(f890(x80741,a881)),x80744),x80743)))
% 119.46/119.24 [8075]P1(f313(f313(f315(x80751),x80752),x80753))+~P1(f313(f313(f315(x80751),x80752),f313(f313(f3(f890(x80751,a881)),x80753),x80754)))
% 119.46/119.24 [8076]P1(f313(f313(f315(x80761),x80762),x80763))+~P1(f313(f313(f315(x80761),x80762),f313(f313(f3(f890(x80761,a881)),x80763),x80764)))
% 119.46/119.24 [8077]P1(f313(f313(f315(x80771),x80772),x80773))+~P1(f313(f313(f315(x80771),x80772),f313(f313(f3(f890(x80771,a881)),x80773),x80774)))
% 119.46/119.24 [8078]P1(f313(f313(f315(x80781),x80782),x80783))+~P1(f313(f313(f315(x80781),x80782),f313(f313(f93(f890(x80781,a881)),x80784),x80783)))
% 119.46/119.24 [8079]P1(f313(f313(f315(x80791),x80792),x80793))+~P1(f313(f313(f315(x80791),x80792),f313(f313(f93(f890(x80791,a881)),x80794),x80793)))
% 119.46/119.24 [8080]P1(f313(f313(f315(x80801),x80802),x80803))+~P1(f313(f313(f315(x80801),x80802),f313(f313(f93(f890(x80801,a881)),x80803),x80804)))
% 119.46/119.24 [8081]P1(f313(f313(f315(x80811),x80812),x80813))+~P1(f313(f313(f315(x80811),x80812),f313(f313(f93(f890(x80811,a881)),x80813),x80814)))
% 119.46/119.24 [8082]P1(f313(f313(f315(x80821),x80822),x80823))+~P1(f313(f313(f315(x80821),x80822),f313(f313(f93(f890(x80821,a881)),x80823),x80824)))
% 119.46/119.24 [8097]E(f313(f313(f122(x80971),f313(f313(f163(x80971),x80972),x80973)),f313(f313(f139(x80971),x80974),f313(f313(f126(x80971),f313(a103,x80972)),x80973))),f313(f313(f147(x80971,x80973),x80972),x80974))+~P1(f313(f313(f223(a883),x80972),f313(f179(f885(x80971)),x80973)))
% 119.46/119.24 [8120]P1(f313(f313(f315(x81201),x81202),x81203))+~P1(f313(f313(f222(f890(x81201,a881)),f313(f313(f295(x81201),x81202),x81204)),x81203))
% 119.46/119.24 [8153]~P1(f313(f313(f315(x81531),x81532),x81533))+~P1(f313(f313(f315(x81531),x81532),f313(f313(f3(f890(x81531,a881)),x81534),x81533)))
% 119.46/119.24 [8154]~P1(f313(f313(f315(x81541),x81542),x81543))+~P1(f313(f313(f315(x81541),x81542),f313(f313(f3(f890(x81541,a881)),x81544),x81543)))
% 119.46/119.24 [8155]~P1(f313(f313(f315(x81551),x81552),x81553))+~P1(f313(f313(f315(x81551),x81552),f313(f313(f3(f890(x81551,a881)),x81554),x81553)))
% 119.46/119.24 [8189]~P1(f313(f313(f223(a883),x81894),f313(f179(f885(x81891)),x81893)))+P1(f313(f313(f315(x81891),x81892),f313(f160(x81891),f313(f313(f147(x81891,x81893),x81894),x81892))))
% 119.46/119.24 [8233]E(f313(f95(a883),x82331),f2(a883))+E(f313(f313(f139(x82332),x82333),f313(f313(f163(x82332),f313(f313(f3(a883),f313(f95(a883),x82331)),f71(a883))),x82334)),f313(f313(f163(x82332),f313(f95(a883),x82331)),f313(f313(f139(x82332),x82333),x82334)))
% 119.46/119.24 [8242]E(f313(f313(f152(x82421),f313(f313(f126(x82421),x82422),x82423)),x82424),f313(f313(f152(x82421),x82423),f313(f313(f73(a883),x82422),x82424)))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x82422),x82424)),f313(f179(f885(x82421)),x82423)))
% 119.46/119.24 [8251]~P2(x82512)+E(f313(f313(f8(x82511,x82512),f313(f313(f10(a883,x82512,x82511),f91(x82512)),x82513)),x82514),f313(f91(x82512),f313(f313(f8(x82511,a883),x82513),x82514)))
% 119.46/119.24 [8252]~P144(x82522)+E(f313(f313(f8(x82521,x82522),f313(f313(f10(a1,x82522,x82521),f94(x82522)),x82523)),x82524),f313(f94(x82522),f313(f313(f8(x82521,a1),x82523),x82524)))
% 119.46/119.24 [8302]~P73(x83022)+E(f313(f313(f11(x83021,x83022),f313(f313(f10(x83022,x83022,x83021),f69(x83022)),x83023)),x83024),f313(f69(x83022),f313(f313(f11(x83021,x83022),x83023),x83024)))
% 119.46/119.24 [8303]~P65(x83032)+E(f313(f313(f8(x83031,x83032),f313(f313(f10(x83032,x83032,x83031),f72(x83032)),x83033)),x83034),f313(f72(x83032),f313(f313(f8(x83031,x83032),x83033),x83034)))
% 119.46/119.24 [8305]E(f313(f313(f8(x83051,a883),x83052),f313(f313(f3(f890(x83051,a881)),x83053),f313(f313(f295(x83051),x83054),f178(f890(x83051,a881))))),f313(f313(f3(a883),f313(f313(f8(x83051,a883),x83052),x83053)),f313(x83052,x83054)))+~P1(f313(f313(f315(x83051),x83054),x83053))
% 119.46/119.24 [8324]P1(f313(f313(f222(f890(x83241,a881)),x83242),x83243))+~P1(f313(f313(f222(f890(x83241,a881)),f313(f313(f295(x83241),x83244),x83242)),x83243))
% 119.46/119.24 [8444]~E(f313(f296(x84442,x84443,x84441),f230(f890(x84442,a881))),f230(f890(x84443,a881)))+E(f313(x84441,f313(f85(x84442,x84443,f230(f890(x84442,a881)),x84441),x84444)),x84444)
% 119.46/119.24 [8445]~E(f313(f296(x84452,x84453,x84451),f230(f890(x84452,a881))),f230(f890(x84453,a881)))+E(f313(x84451,f313(f85(x84452,x84453,f230(f890(x84452,a881)),x84451),x84454)),x84454)
% 119.46/119.24 [8530]P36(x85301,x85302)+~P36(x85301,f313(f313(f295(f889(x85301,x85301)),f313(f313(f240(x85301,x85301),x85303),x85304)),x85302))
% 119.46/119.24 [8531]P60(x85311,x85312)+~P60(x85311,f313(f313(f295(f889(x85311,x85311)),f313(f313(f240(x85311,x85311),x85313),x85314)),x85312))
% 119.46/119.24 [8536]~P4(x85361)+E(f313(f313(f136(x85361,x85361,f7(x85361)),x85362),f313(f313(f136(x85361,x85361,f7(x85361)),x85363),x85364)),f313(f313(f136(x85361,x85361,f7(x85361)),x85363),f313(f313(f136(x85361,x85361,f7(x85361)),x85362),x85364)))
% 119.46/119.24 [8551]E(x85511,x85512)+~P1(f313(f55(x85513,x85514,f313(f313(f295(x85513),x85511),f178(f890(x85513,a881)))),x85512))
% 119.46/119.24 [8562]E(f313(f313(f122(x85621),f313(f313(f163(x85621),x85622),x85623)),f313(f313(f163(x85621),x85624),f313(f313(f126(x85621),x85622),x85623))),f313(f313(f163(x85621),f313(f313(f73(a883),x85622),x85624)),x85623))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x85622),x85624)),f313(f179(f885(x85621)),x85623)))
% 119.46/119.24 [8600]P1(f313(f54(x86001),x86002))+~E(x86002,f313(f296(a883,x86001,x86003),f313(f250(a883),f313(f313(f9(a883,a883,a881),f223(a883)),x86004))))
% 119.46/119.24 [8601]P1(f313(f54(x86011),x86012))+~E(x86012,f313(f296(a883,x86011,x86013),f313(f250(a883),f313(f313(f9(a883,a883,a881),f223(a883)),x86014))))
% 119.46/119.24 [8621]~P94(x86211)+E(f313(f130(x86211,x86211,f73(x86211),f313(f313(f73(x86211),x86212),x86213)),x86214),f313(f313(f73(x86211),x86212),f313(f130(x86211,x86211,f73(x86211),x86213),x86214)))
% 119.46/119.24 [8655]P1(f313(f313(f222(f890(x86551,a881)),f313(f252(x86551,x86552),x86553)),f313(f252(x86551,x86552),x86554)))+~P1(f313(f313(f222(f890(f889(x86551,x86552),a881)),x86553),x86554))
% 119.46/119.24 [8667]~P1(f313(f313(f222(a883),x86672),x86674))+P1(f313(f313(f222(f890(x86671,a881)),f313(f160(x86671),f313(f313(f163(x86671),x86672),x86673))),f313(f160(x86671),f313(f313(f163(x86671),x86674),x86673))))
% 119.46/119.24 [8668]~P1(f313(f313(f222(a883),x86684),x86682))+P1(f313(f313(f222(f890(x86681,a881)),f313(f160(x86681),f313(f313(f126(x86681),x86682),x86683))),f313(f160(x86681),f313(f313(f126(x86681),x86684),x86683))))
% 119.46/119.24 [8719]~P1(f313(f54(x87191),f313(f313(f3(f890(x87191,a881)),x87192),x87194)))+P1(f313(f54(x87191),f313(f313(f3(f890(x87191,a881)),x87192),f313(f313(f295(x87191),x87193),x87194))))
% 119.46/119.24 [8753]P1(f313(f313(f315(f889(x87531,x87531)),x87532),f293(x87531,x87533)))+~P1(f313(f313(f315(f889(x87531,x87531)),x87532),f313(f313(f171(f889(x87531,x87531),a881),x87534),x87533)))
% 119.46/119.24 [8754]P1(f313(f313(f315(f889(x87541,x87541)),x87542),f293(x87541,x87543)))+~P1(f313(f313(f315(f889(x87541,x87541)),x87542),f313(f313(f171(f889(x87541,x87541),a881),x87544),x87543)))
% 119.46/119.24 [8833]~P1(f313(f54(x88331),f313(f313(f3(f890(x88331,a881)),x88332),f313(f313(f295(x88331),x88334),x88333))))+P1(f313(f54(x88331),f313(f313(f3(f890(x88331,a881)),x88332),x88333)))
% 119.46/119.24 [8904]P1(f313(f313(f315(f889(x89041,x89042)),f313(f313(f240(x89041,x89042),x89043),x89044)),f178(f890(f889(x89041,x89042),a881))))+~P1(f313(f313(f178(f890(x89041,f890(x89042,a881))),x89043),x89044))
% 119.46/119.24 [9041]~P4(x90411)+P1(f313(f313(f222(x90411),f313(f313(f177(x90411),x90412),f313(f313(f227(x90411),x90413),x90414))),f313(f313(f227(x90411),f313(f313(f177(x90411),x90412),x90413)),f313(f313(f177(x90411),x90412),x90414))))
% 119.46/119.24 [9042]~P103(x90421)+P1(f313(f313(f222(x90421),f313(f313(f92(x90421),x90422),f313(f313(f93(x90421),x90423),x90424))),f313(f313(f93(x90421),f313(f313(f92(x90421),x90422),x90423)),f313(f313(f92(x90421),x90422),x90424))))
% 119.46/119.24 [9060]~P1(f313(f313(f315(f889(x90601,x90602)),f313(f313(f240(x90601,x90602),x90603),x90604)),f178(f890(f889(x90601,x90602),a881))))+P1(f313(f313(f178(f890(x90601,f890(x90602,a881))),x90603),x90604))
% 119.46/119.24 [9190]E(x91901,x91902)+~P1(f313(f313(f315(f889(x91903,x91903)),f313(f313(f240(x91903,x91903),x91901),x91902)),f313(f160(f889(x91903,x91903)),f313(f313(f169(x91903,x91903),x91904),x91904))))
% 119.46/119.24 [9221]~P1(f313(f313(f315(f889(x92211,x92211)),f313(f313(f240(x92211,x92211),x92213),x92212)),f293(x92211,x92214)))+~P36(x92211,f313(f313(f295(f889(x92211,x92211)),f313(f313(f240(x92211,x92211),x92212),x92213)),x92214))
% 119.46/119.24 [9222]~P1(f313(f313(f315(f889(x92221,x92221)),f313(f313(f240(x92221,x92221),x92223),x92222)),f293(x92221,x92224)))+~P60(x92221,f313(f313(f295(f889(x92221,x92221)),f313(f313(f240(x92221,x92221),x92222),x92223)),x92224))
% 119.46/119.24 [9226]E(x92261,x92262)+E(f313(f124(x92263,f313(f313(f10(a881,a881,x92263),a308),f313(a310,x92261))),f313(f313(f139(x92263),x92262),x92264)),f313(f313(f139(x92263),x92262),f313(f124(x92263,f313(f313(f10(a881,a881,x92263),a308),f313(a310,x92261))),x92264)))
% 119.46/119.24 [9236]P1(f313(f313(f315(x92361),x92362),f313(f160(x92361),x92363)))+~P1(f313(f313(f315(f889(x92361,x92361)),f313(f313(f240(x92361,x92361),x92362),x92364)),f313(f160(f889(x92361,x92361)),f313(f313(f169(x92361,x92361),x92363),x92363))))
% 119.46/119.24 [9269]~P4(x92691)+P1(f313(f313(f222(x92691),f313(f313(f177(x92691),f313(f313(f227(x92691),x92692),x92693)),f313(f313(f227(x92691),x92692),x92694))),f313(f313(f227(x92691),x92692),f313(f313(f177(x92691),x92693),x92694))))
% 119.46/119.24 [9270]~P103(x92701)+P1(f313(f313(f222(x92701),f313(f313(f92(x92701),f313(f313(f93(x92701),x92702),x92703)),f313(f313(f93(x92701),x92702),x92704))),f313(f313(f93(x92701),x92702),f313(f313(f92(x92701),x92703),x92704))))
% 119.46/119.24 [9310]P1(f313(f313(f315(f889(x93101,x93101)),f313(f313(f240(x93101,x93101),x93102),x93103)),f313(f313(f275(x93101,x93101,x93101),x93104),f293(x93101,x93104))))+~P1(f313(f313(f315(f889(x93101,x93101)),f313(f313(f240(x93101,x93101),x93102),x93103)),x93104))
% 119.46/119.24 [9345]~E(f313(f296(x93452,x93451,x93453),f230(f890(x93452,a881))),f230(f890(x93451,a881)))+P1(f313(f313(f222(f890(x93451,a881)),f313(f72(f890(x93451,a881)),f313(f296(x93452,x93451,x93453),x93454))),f313(f296(x93452,x93451,x93453),f313(f72(f890(x93452,a881)),x93454))))
% 119.46/119.24 [9671]P1(f313(f313(f315(f889(x96711,x96711)),f313(f313(f240(x96711,x96711),x96712),x96713)),f313(f272(x96711,x96711),f313(f313(f275(x96711,x96711,x96711),x96714),f293(x96711,x96714)))))+~P1(f313(f313(f315(f889(x96711,x96711)),f313(f313(f240(x96711,x96711),x96712),x96713)),f313(f313(f275(x96711,x96711,x96711),f313(f272(x96711,x96711),x96714)),f293(x96711,f313(f272(x96711,x96711),x96714)))))
% 119.46/119.24 [9672]~P1(f313(f313(f315(f889(x96721,x96721)),f313(f313(f240(x96721,x96721),x96722),x96723)),f313(f272(x96721,x96721),f313(f313(f275(x96721,x96721,x96721),x96724),f293(x96721,x96724)))))+P1(f313(f313(f315(f889(x96721,x96721)),f313(f313(f240(x96721,x96721),x96722),x96723)),f313(f313(f275(x96721,x96721,x96721),f313(f272(x96721,x96721),x96724)),f293(x96721,f313(f272(x96721,x96721),x96724)))))
% 119.46/119.24 [9697]~P1(f313(f313(f315(x96972),x96974),f313(f270(x96971,x96972),x96973)))+P1(f313(f313(f315(f889(x96971,x96972)),f313(f313(f240(x96971,x96972),f556(x96973,x96971,x96974,x96972)),x96974)),x96973))
% 119.46/119.24 [9698]~P1(f313(f313(f315(x96982),x96984),f313(f270(x96981,x96982),x96983)))+P1(f313(f313(f315(f889(x96981,x96982)),f313(f313(f240(x96981,x96982),f557(x96983,x96981,x96984,x96982)),x96984)),x96983))
% 119.46/119.24 [9723]~P1(f313(f313(f315(x97231),x97234),f313(f313(f92(f890(x97231,a881)),x97232),x97233)))+P1(f313(f313(f313(f92(f890(x97231,a881)),f313(f313(f9(x97231,f890(x97231,a881),a881),f315(x97231)),x97232)),f313(f313(f9(x97231,f890(x97231,a881),a881),f315(x97231)),x97233)),x97234))
% 119.46/119.24 [9724]~P1(f313(f313(f315(x97241),x97244),f313(f313(f93(f890(x97241,a881)),x97242),x97243)))+P1(f313(f313(f313(f93(f890(x97241,a881)),f313(f313(f9(x97241,f890(x97241,a881),a881),f315(x97241)),x97242)),f313(f313(f9(x97241,f890(x97241,a881),a881),f315(x97241)),x97243)),x97244))
% 119.46/119.24 [9810]~P1(f313(f313(f315(f889(x98101,x98101)),f313(f313(f240(x98101,x98101),x98104),x98103)),f313(f313(f275(x98101,x98101,x98101),x98102),f293(x98101,x98102))))+P1(f313(f313(f315(f889(x98101,x98101)),f313(f313(f240(x98101,x98101),f626(x98102,x98103,x98104,x98101)),x98103)),x98102))
% 119.46/119.24 [9850]P1(f313(f313(f315(x98501),x98502),f313(f313(f92(f890(x98501,a881)),x98503),x98504)))+~P1(f313(f313(f313(f92(f890(x98501,a881)),f313(f313(f9(x98501,f890(x98501,a881),a881),f315(x98501)),x98503)),f313(f313(f9(x98501,f890(x98501,a881),a881),f315(x98501)),x98504)),x98502))
% 119.46/119.24 [9851]P1(f313(f313(f315(x98511),x98512),f313(f313(f93(f890(x98511,a881)),x98513),x98514)))+~P1(f313(f313(f313(f93(f890(x98511,a881)),f313(f313(f9(x98511,f890(x98511,a881),a881),f315(x98511)),x98513)),f313(f313(f9(x98511,f890(x98511,a881),a881),f315(x98511)),x98514)),x98512))
% 119.46/119.24 [10132]P31(x101321,f313(f313(f9(x101321,f890(f889(x101321,x101321),a881),f890(x101321,a881)),f313(f313(f10(f890(x101321,f890(f890(f889(x101321,x101321),a881),a881)),f890(f890(f889(x101321,x101321),a881),f890(x101321,a881)),x101321),f9(x101321,f890(f889(x101321,x101321),a881),a881)),f313(f313(f10(f890(x101321,f889(x101321,x101321)),f890(x101321,f890(f890(f889(x101321,x101321),a881),a881)),x101321),f313(f10(f889(x101321,x101321),f890(f890(f889(x101321,x101321),a881),a881),x101321),f315(f889(x101321,x101321)))),f240(x101321,x101321)))),x101322),x101323,x101324)+~P1(f313(f313(f315(f889(f885(x101321),f885(x101321))),f313(f313(f240(f885(x101321),f885(x101321)),x101323),x101324)),f146(x101321,x101322)))
% 119.46/119.24 [10136]P61(x101361,f313(f313(f9(x101361,f890(f889(x101361,x101361),a881),f890(x101361,a881)),f313(f313(f10(f890(x101361,f890(f890(f889(x101361,x101361),a881),a881)),f890(f890(f889(x101361,x101361),a881),f890(x101361,a881)),x101361),f9(x101361,f890(f889(x101361,x101361),a881),a881)),f313(f313(f10(f890(x101361,f889(x101361,x101361)),f890(x101361,f890(f890(f889(x101361,x101361),a881),a881)),x101361),f313(f10(f889(x101361,x101361),f890(f890(f889(x101361,x101361),a881),a881),x101361),f315(f889(x101361,x101361)))),f240(x101361,x101361)))),x101362),x101363,x101364)+~P1(f313(f313(f315(f889(f890(x101361,a881),f890(x101361,a881))),f313(f313(f240(f890(x101361,a881),f890(x101361,a881)),x101363),x101364)),f304(x101361,x101362)))
% 119.46/119.24 [10166]E(x101661,x101662)+~E(f313(f313(f9(x101663,f890(f889(x101663,x101664),a881),f890(x101664,a881)),f313(f313(f10(f890(x101664,f890(f890(f889(x101663,x101664),a881),a881)),f890(f890(f889(x101663,x101664),a881),f890(x101664,a881)),x101663),f9(x101664,f890(f889(x101663,x101664),a881),a881)),f313(f313(f10(f890(x101664,f889(x101663,x101664)),f890(x101664,f890(f890(f889(x101663,x101664),a881),a881)),x101663),f313(f10(f889(x101663,x101664),f890(f890(f889(x101663,x101664),a881),a881),x101664),f315(f889(x101663,x101664)))),f240(x101663,x101664)))),x101661),f313(f313(f9(x101663,f890(f889(x101663,x101664),a881),f890(x101664,a881)),f313(f313(f10(f890(x101664,f890(f890(f889(x101663,x101664),a881),a881)),f890(f890(f889(x101663,x101664),a881),f890(x101664,a881)),x101663),f9(x101664,f890(f889(x101663,x101664),a881),a881)),f313(f313(f10(f890(x101664,f889(x101663,x101664)),f890(x101664,f890(f890(f889(x101663,x101664),a881),a881)),x101663),f313(f10(f889(x101663,x101664),f890(f890(f889(x101663,x101664),a881),a881),x101664),f315(f889(x101663,x101664)))),f240(x101663,x101664)))),x101662))
% 119.46/119.24 [10169]~P31(x101691,f313(f313(f9(x101691,f890(f889(x101691,x101691),a881),f890(x101691,a881)),f313(f313(f10(f890(x101691,f890(f890(f889(x101691,x101691),a881),a881)),f890(f890(f889(x101691,x101691),a881),f890(x101691,a881)),x101691),f9(x101691,f890(f889(x101691,x101691),a881),a881)),f313(f313(f10(f890(x101691,f889(x101691,x101691)),f890(x101691,f890(f890(f889(x101691,x101691),a881),a881)),x101691),f313(f10(f889(x101691,x101691),f890(f890(f889(x101691,x101691),a881),a881),x101691),f315(f889(x101691,x101691)))),f240(x101691,x101691)))),x101694),x101692,x101693)+P1(f313(f313(f315(f889(f885(x101691),f885(x101691))),f313(f313(f240(f885(x101691),f885(x101691)),x101692),x101693)),f146(x101691,x101694)))
% 119.46/119.24 [10170]~P61(x101701,f313(f313(f9(x101701,f890(f889(x101701,x101701),a881),f890(x101701,a881)),f313(f313(f10(f890(x101701,f890(f890(f889(x101701,x101701),a881),a881)),f890(f890(f889(x101701,x101701),a881),f890(x101701,a881)),x101701),f9(x101701,f890(f889(x101701,x101701),a881),a881)),f313(f313(f10(f890(x101701,f889(x101701,x101701)),f890(x101701,f890(f890(f889(x101701,x101701),a881),a881)),x101701),f313(f10(f889(x101701,x101701),f890(f890(f889(x101701,x101701),a881),a881),x101701),f315(f889(x101701,x101701)))),f240(x101701,x101701)))),x101704),x101702,x101703)+P1(f313(f313(f315(f889(f890(x101701,a881),f890(x101701,a881))),f313(f313(f240(f890(x101701,a881),f890(x101701,a881)),x101702),x101703)),f304(x101701,x101704)))
% 119.46/119.24 [7557]~P98(x75571)+E(f313(f313(f74(x75571),f313(f95(x75571),x75572)),f313(f313(f74(x75571),f313(f95(x75571),x75573)),x75574)),f313(f313(f74(x75571),f313(f95(x75571),f313(f313(f74(a1),x75572),x75573))),x75574))
% 119.46/119.24 [7558]~P98(x75581)+E(f313(f313(f73(x75581),f313(f95(x75581),x75582)),f313(f313(f73(x75581),f313(f95(x75581),x75583)),x75584)),f313(f313(f73(x75581),f313(f95(x75581),f313(f313(f73(a1),x75582),x75583))),x75584))
% 119.46/119.24 [7559]~P98(x75591)+E(f313(f313(f73(x75591),f313(f95(x75591),x75592)),f313(f313(f3(x75591),f313(f95(x75591),x75593)),x75594)),f313(f313(f3(x75591),f313(f95(x75591),f313(f313(f73(a1),x75592),x75593))),x75594))
% 119.46/119.24 [7602]~P2(x76021)+E(f313(f153(x76021),f313(f313(f142(x76022,x76021),f313(f18(x76021,x76022),x76023)),x76024)),f313(f313(f74(x76021),f313(f91(x76021),f313(f179(f885(x76022)),x76024))),x76023))
% 119.46/119.24 [7842]E(f313(f256(x78421,f313(f313(f139(f889(a90,x78421)),x78422),x78423)),x78424),f313(f244(a90,x78421),x78422))+~P1(f313(f313(f223(a90),x78424),f313(f239(a90,x78421),x78422)))
% 119.46/119.24 [7883]~P98(x78831)+E(f313(f313(f73(x78831),f313(f95(x78831),x78832)),f313(f313(f3(x78831),x78833),f313(f95(x78831),x78834))),f313(f313(f73(x78831),f313(f95(x78831),f313(f313(f73(a1),x78832),f313(f72(a1),x78834)))),x78833))
% 119.46/119.24 [8018]E(f313(f256(x80181,x80182),f313(f313(f3(a90),x80183),f313(f239(a90,x80181),x80184))),f313(f256(x80181,f313(f313(f139(f889(a90,x80181)),x80184),x80182)),x80183))+P1(f313(f313(f223(a90),x80183),f313(f239(a90,x80181),x80184)))
% 119.46/119.24 [8451]~P1(f313(f313(f315(x84511),x84512),f313(f160(x84511),f105(x84511,x84514))))+P1(f313(f313(f315(x84511),x84512),f313(f160(x84511),f105(x84511,f313(f313(f122(x84511),x84513),x84514)))))
% 119.46/119.24 [8452]~P1(f313(f313(f315(x84521),x84522),f313(f160(x84521),f105(x84521,x84523))))+P1(f313(f313(f315(x84521),x84522),f313(f160(x84521),f105(x84521,f313(f313(f122(x84521),x84523),x84524)))))
% 119.46/119.24 [8471]E(f313(f313(f92(f890(x84711,a881)),f313(f313(f93(f890(x84711,a881)),x84712),x84713)),x84714),f313(f313(f93(f890(x84711,a881)),x84712),f313(f313(f92(f890(x84711,a881)),x84713),x84714)))+~P1(f313(f313(f222(f890(x84711,a881)),x84714),x84712))
% 119.46/119.24 [8767]~E(f313(f313(f92(f890(x87671,a881)),f313(f313(f93(f890(x87671,a881)),x87673),x87674)),x87672),f313(f313(f93(f890(x87671,a881)),x87673),f313(f313(f92(f890(x87671,a881)),x87674),x87672)))+P1(f313(f313(f222(f890(x87671,a881)),x87672),x87673))
% 119.46/119.24 [9046]~P1(f313(f313(f222(f890(x90461,a881)),x90462),f313(f313(f92(f890(x90461,a881)),x90463),x90464)))+P1(f313(f313(f222(f890(x90461,a881)),f313(f313(f3(f890(x90461,a881)),x90462),x90463)),x90464))
% 119.46/119.24 [9162]~E(f313(f296(x91621,x91622,x91623),f230(f890(x91621,a881))),f230(f890(x91622,a881)))+E(f313(f296(x91621,x91622,x91623),f313(f296(x91622,x91621,f85(x91621,x91622,f230(f890(x91621,a881)),x91623)),x91624)),x91624)
% 119.46/119.24 [9167]P1(f313(f313(f222(f890(x91671,a881)),x91672),f313(f313(f92(f890(x91671,a881)),x91673),x91674)))+~P1(f313(f313(f222(f890(x91671,a881)),f313(f313(f3(f890(x91671,a881)),x91672),x91673)),x91674))
% 119.46/119.24 [9252]~P90(x92521)+E(f313(f69(x92521),f313(f313(f8(x92522,x92521),f313(f313(f10(x92521,x92521,x92522),f69(x92521)),x92523)),x92524)),f313(f313(f8(x92522,x92521),f313(f313(f10(x92521,x92521,x92522),f69(x92521)),x92523)),x92524))
% 119.46/119.24 [9422]~P90(x94221)+P1(f313(f313(f222(x94221),f2(x94221)),f313(f313(f8(x94222,x94221),f313(f313(f10(x94221,x94221,x94222),f69(x94221)),x94223)),x94224)))
% 119.46/119.24 [9426]~P65(x94261)+E(f313(f153(x94261),f313(f313(f142(x94262,x94261),f313(f66(x94261,x94261,x94262,f72(x94261)),x94263)),x94264)),f313(f72(x94261),f313(f153(x94261),f313(f313(f142(x94262,x94261),x94263),x94264))))
% 119.46/119.24 [9570]~P90(x95701)+P1(f313(f313(f222(x95701),f313(f69(x95701),f313(f313(f8(x95702,x95701),x95703),x95704))),f313(f313(f8(x95702,x95701),f313(f313(f10(x95701,x95701,x95702),f69(x95701)),x95703)),x95704)))
% 119.46/119.24 [9597]~E(f313(f313(f73(a883),x95971),x95974),f313(f313(f73(a883),x95973),x95972))+P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),f313(f313(f240(a883,a883),x95971),x95972)),f313(f313(f240(a883,a883),x95973),x95974))),a100))
% 119.46/119.24 [9598]~P1(f313(f313(f223(a883),x95981),x95983))+P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),f313(f313(f240(a883,a883),x95981),x95982)),f313(f313(f240(a883,a883),x95983),x95984))),a26))
% 119.46/119.24 [9599]~P1(f313(f313(f223(a883),x95991),x95993))+P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),f313(f313(f240(a883,a883),x95991),x95992)),f313(f313(f240(a883,a883),x95993),x95994))),a64))
% 119.46/119.24 [9749]E(f313(f313(f73(a883),x97491),x97492),f313(f313(f73(a883),x97493),x97494))+~P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),f313(f313(f240(a883,a883),x97491),x97494)),f313(f313(f240(a883,a883),x97493),x97492))),a100))
% 119.46/119.24 [9776]E(f313(f313(f152(x97761),f313(f313(f126(x97761),f313(f179(f885(x97761)),f165(x97761,x97762,x97763))),x97763)),x97764),f313(f313(f152(x97761),x97763),f313(f313(f73(a883),x97764),f313(f179(f885(x97761)),f165(x97761,x97762,x97763)))))+~P1(f313(f313(f223(a883),x97764),f313(f179(f885(x97761)),f313(f313(f126(x97761),f313(f179(f885(x97761)),f165(x97761,x97762,x97763))),x97763))))
% 119.46/119.24 [9801]~P1(f313(f313(f315(x98012),x98014),f313(f313(f32(x98011,f890(x98012,a881)),f230(f890(x98011,a881))),x98013)))+P1(f313(f313(f313(f32(x98011,f890(x98012,a881)),f230(f890(x98011,a881))),f313(f313(f10(f890(x98012,a881),f890(x98012,a881),x98011),f313(f9(x98012,f890(x98012,a881),a881),f315(x98012))),x98013)),x98014))
% 119.46/119.24 [9802]~P1(f313(f313(f315(x98022),x98024),f313(f313(f33(x98021,f890(x98022,a881)),f230(f890(x98021,a881))),x98023)))+P1(f313(f313(f313(f33(x98021,f890(x98022,a881)),f230(f890(x98021,a881))),f313(f313(f10(f890(x98022,a881),f890(x98022,a881),x98021),f313(f9(x98022,f890(x98022,a881),a881),f315(x98022))),x98023)),x98024))
% 119.46/119.24 [9876]~P1(f313(f42(x98761,x98762),f313(f313(f240(a1,a1),x98764),x98763)))+P1(f313(f42(f313(f72(a1),x98761),x98762),f313(f313(f240(a1,a1),f313(f313(f313(f84(a1),f313(f313(a310,x98763),f2(a1))),f313(f72(a1),x98764)),f313(f313(f3(a1),f313(f72(a1),x98764)),f71(a1)))),f313(f313(f313(f84(a1),f313(f313(a310,x98763),f2(a1))),f2(a1)),f313(f313(f3(a1),x98762),x98763)))))
% 119.46/119.24 [9886]P1(f313(f313(f315(x98861),x98862),f313(f313(f32(x98863,f890(x98861,a881)),f230(f890(x98863,a881))),x98864)))+~P1(f313(f313(f313(f32(x98863,f890(x98861,a881)),f230(f890(x98863,a881))),f313(f313(f10(f890(x98861,a881),f890(x98861,a881),x98863),f313(f9(x98861,f890(x98861,a881),a881),f315(x98861))),x98864)),x98862))
% 119.46/119.24 [9887]P1(f313(f313(f315(x98871),x98872),f313(f313(f33(x98873,f890(x98871,a881)),f230(f890(x98873,a881))),x98874)))+~P1(f313(f313(f313(f33(x98873,f890(x98871,a881)),f230(f890(x98873,a881))),f313(f313(f10(f890(x98871,a881),f890(x98871,a881),x98873),f313(f9(x98871,f890(x98871,a881),a881),f315(x98871))),x98874)),x98872))
% 119.46/119.24 [9899]E(f313(f313(f33(a883,f890(x98991,a881)),f230(f890(a883,a881))),x98992),f313(f313(f33(a883,f890(x98991,a881)),f230(f890(a883,a881))),x98993))+~E(f313(f313(f33(a883,f890(x98991,a881)),f313(f288(a883,f2(a883)),f494(x98992,x98994,x98993,x98991))),x98993),f313(f313(f33(a883,f890(x98991,a881)),f313(f288(a883,f2(a883)),f313(f313(f73(a883),f494(x98992,x98994,x98993,x98991)),x98994))),x98992))
% 119.46/119.24 [10242]~P1(f313(f313(f222(f890(f889(x102421,x102422),a881)),x102423),x102424))+P1(f313(f313(f222(f890(x102421,f890(x102422,a881))),f313(f313(f9(x102421,f890(f889(x102421,x102422),a881),f890(x102422,a881)),f313(f313(f10(f890(x102422,f890(f890(f889(x102421,x102422),a881),a881)),f890(f890(f889(x102421,x102422),a881),f890(x102422,a881)),x102421),f9(x102422,f890(f889(x102421,x102422),a881),a881)),f313(f313(f10(f890(x102422,f889(x102421,x102422)),f890(x102422,f890(f890(f889(x102421,x102422),a881),a881)),x102421),f313(f10(f889(x102421,x102422),f890(f890(f889(x102421,x102422),a881),a881),x102422),f315(f889(x102421,x102422)))),f240(x102421,x102422)))),x102423)),f313(f313(f9(x102421,f890(f889(x102421,x102422),a881),f890(x102422,a881)),f313(f313(f10(f890(x102422,f890(f890(f889(x102421,x102422),a881),a881)),f890(f890(f889(x102421,x102422),a881),f890(x102422,a881)),x102421),f9(x102422,f890(f889(x102421,x102422),a881),a881)),f313(f313(f10(f890(x102422,f889(x102421,x102422)),f890(x102422,f890(f890(f889(x102421,x102422),a881),a881)),x102421),f313(f10(f889(x102421,x102422),f890(f890(f889(x102421,x102422),a881),a881),x102422),f315(f889(x102421,x102422)))),f240(x102421,x102422)))),x102424)))
% 119.46/119.24 [10258]P1(f313(f313(f222(f890(f889(x102581,x102582),a881)),x102583),x102584))+~P1(f313(f313(f222(f890(x102581,f890(x102582,a881))),f313(f313(f9(x102581,f890(f889(x102581,x102582),a881),f890(x102582,a881)),f313(f313(f10(f890(x102582,f890(f890(f889(x102581,x102582),a881),a881)),f890(f890(f889(x102581,x102582),a881),f890(x102582,a881)),x102581),f9(x102582,f890(f889(x102581,x102582),a881),a881)),f313(f313(f10(f890(x102582,f889(x102581,x102582)),f890(x102582,f890(f890(f889(x102581,x102582),a881),a881)),x102581),f313(f10(f889(x102581,x102582),f890(f890(f889(x102581,x102582),a881),a881),x102582),f315(f889(x102581,x102582)))),f240(x102581,x102582)))),x102583)),f313(f313(f9(x102581,f890(f889(x102581,x102582),a881),f890(x102582,a881)),f313(f313(f10(f890(x102582,f890(f890(f889(x102581,x102582),a881),a881)),f890(f890(f889(x102581,x102582),a881),f890(x102582,a881)),x102581),f9(x102582,f890(f889(x102581,x102582),a881),a881)),f313(f313(f10(f890(x102582,f889(x102581,x102582)),f890(x102582,f890(f890(f889(x102581,x102582),a881),a881)),x102581),f313(f10(f889(x102581,x102582),f890(f890(f889(x102581,x102582),a881),a881),x102582),f315(f889(x102581,x102582)))),f240(x102581,x102582)))),x102584)))
% 119.46/119.24 [9298]~P1(f313(f313(f315(f889(x92981,x92981)),x92982),f293(x92981,x92984)))+P1(f313(f313(f315(f889(x92981,x92981)),x92982),f293(x92981,f313(f313(f92(f890(f889(x92981,x92981),a881)),x92983),x92984))))
% 119.46/119.24 [9299]~P1(f313(f313(f315(f889(x92991,x92991)),x92992),f293(x92991,x92993)))+P1(f313(f313(f315(f889(x92991,x92991)),x92992),f293(x92991,f313(f313(f92(f890(f889(x92991,x92991),a881)),x92993),x92994))))
% 119.46/119.24 [9983]~P1(f313(f313(f222(a883),f313(f313(f73(a883),x99831),x99834)),f313(f313(f73(a883),x99833),x99832)))+P1(f313(f313(f222(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x99831),x99832)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x99833),x99834)),f178(f890(f889(a883,a883),a881)))))))
% 119.46/119.24 [9984]~P1(f313(f313(f223(a883),f313(f313(f73(a883),x99841),x99844)),f313(f313(f73(a883),x99843),x99842)))+P1(f313(f313(f223(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x99841),x99842)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x99843),x99844)),f178(f890(f889(a883,a883),a881)))))))
% 119.46/119.24 [10073]P1(f313(f313(f222(a883),f313(f313(f73(a883),x100731),x100732)),f313(f313(f73(a883),x100733),x100734)))+~P1(f313(f313(f222(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x100731),x100734)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x100733),x100732)),f178(f890(f889(a883,a883),a881)))))))
% 119.46/119.24 [10074]P1(f313(f313(f223(a883),f313(f313(f73(a883),x100741),x100742)),f313(f313(f73(a883),x100743),x100744)))+~P1(f313(f313(f223(a1),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x100741),x100744)),f178(f890(f889(a883,a883),a881)))))),f313(a82,f313(f271(f889(a883,a883),f889(a883,a883),a100),f313(f313(f295(f889(a883,a883)),f313(f313(f240(a883,a883),x100743),x100742)),f178(f890(f889(a883,a883),a881)))))))
% 119.46/119.24 [10118]P1(f313(f313(f222(f890(x101181,a881)),f313(f313(f33(a883,f890(x101181,a881)),f230(f890(a883,a881))),x101182)),f313(f313(f33(a883,f890(x101181,a881)),f230(f890(a883,a881))),x101183)))+~P1(f313(f313(f222(f890(x101181,a881)),f313(f313(f33(a883,f890(x101181,a881)),f313(f288(a883,f2(a883)),f495(x101183,x101184,x101182,x101181))),x101182)),f313(f313(f33(a883,f890(x101181,a881)),f313(f288(a883,f2(a883)),f313(f313(f73(a883),f495(x101183,x101184,x101182,x101181)),x101184))),x101183)))
% 119.46/119.24 [10173]P1(f313(f313(f222(a90),x101734),f2(a90)))+E(f313(f313(f247(f889(a90,a90),f889(x101731,f890(a886,a309)),f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90))),f313(x101732,x101733)),f313(f313(f10(f890(f890(a90,f890(a881,f887(f884(x101731)))),f890(f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90)))),f890(f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90))),f889(x101731,f890(a886,a309))),f313(f247(f889(a90,a90),f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90))),f263(x101731,x101732,f313(f313(f3(a90),x101734),f71(a90)),x101733))),f313(f313(f10(f890(f890(a90,f890(a881,f887(f884(x101731)))),f890(a90,f890(a881,f887(f884(x101731))))),f890(f890(a90,f890(a881,f887(f884(x101731)))),f890(f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90)))),f889(x101731,f890(a886,a309))),f313(f10(f890(a90,f890(a881,f887(f884(x101731)))),f890(f889(a90,a90),f889(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90))),f890(a90,f890(a881,f887(f884(x101731))))),f240(f890(a90,f890(a881,f887(f884(x101731)))),f889(a90,a90)))),f313(f313(f10(f890(a90,f890(a881,f887(f884(x101731)))),f890(f890(a90,f890(a881,f887(f884(x101731)))),f890(a90,f890(a881,f887(f884(x101731))))),f889(x101731,f890(a886,a309))),f37(x101731)),f313(f313(f10(x101731,f890(a90,f890(a881,f887(f884(x101731)))),f889(x101731,f890(a886,a309))),f35(x101731)),f239(x101731,f890(a886,a309))))))),f263(x101731,x101732,x101734,x101733))
% 119.46/119.24 [10232]~P1(f313(f313(f315(x102322),x102324),f313(f270(x102321,x102322),x102323)))+P1(f313(f238(x102321,x102322,f313(f313(f9(x102321,f890(f889(x102321,x102322),a881),f890(x102322,a881)),f313(f313(f10(f890(x102322,f890(f890(f889(x102321,x102322),a881),a881)),f890(f890(f889(x102321,x102322),a881),f890(x102322,a881)),x102321),f9(x102322,f890(f889(x102321,x102322),a881),a881)),f313(f313(f10(f890(x102322,f889(x102321,x102322)),f890(x102322,f890(f890(f889(x102321,x102322),a881),a881)),x102321),f313(f10(f889(x102321,x102322),f890(f890(f889(x102321,x102322),a881),a881),x102322),f315(f889(x102321,x102322)))),f240(x102321,x102322)))),x102323)),x102324))
% 119.46/119.24 [10233]~P1(f313(f313(f315(x102331),x102334),f313(f252(x102331,x102332),x102333)))+P1(f313(f237(x102331,x102332,f313(f313(f9(x102331,f890(f889(x102331,x102332),a881),f890(x102332,a881)),f313(f313(f10(f890(x102332,f890(f890(f889(x102331,x102332),a881),a881)),f890(f890(f889(x102331,x102332),a881),f890(x102332,a881)),x102331),f9(x102332,f890(f889(x102331,x102332),a881),a881)),f313(f313(f10(f890(x102332,f889(x102331,x102332)),f890(x102332,f890(f890(f889(x102331,x102332),a881),a881)),x102331),f313(f10(f889(x102331,x102332),f890(f890(f889(x102331,x102332),a881),a881),x102332),f315(f889(x102331,x102332)))),f240(x102331,x102332)))),x102333)),x102334))
% 119.46/119.24 [10245]P1(f313(f313(f315(x102451),x102452),f313(f270(x102453,x102451),x102454)))+~P1(f313(f238(x102453,x102451,f313(f313(f9(x102453,f890(f889(x102453,x102451),a881),f890(x102451,a881)),f313(f313(f10(f890(x102451,f890(f890(f889(x102453,x102451),a881),a881)),f890(f890(f889(x102453,x102451),a881),f890(x102451,a881)),x102453),f9(x102451,f890(f889(x102453,x102451),a881),a881)),f313(f313(f10(f890(x102451,f889(x102453,x102451)),f890(x102451,f890(f890(f889(x102453,x102451),a881),a881)),x102453),f313(f10(f889(x102453,x102451),f890(f890(f889(x102453,x102451),a881),a881),x102451),f315(f889(x102453,x102451)))),f240(x102453,x102451)))),x102454)),x102452))
% 119.46/119.24 [10246]P1(f313(f313(f315(x102461),x102462),f313(f252(x102461,x102463),x102464)))+~P1(f313(f237(x102461,x102463,f313(f313(f9(x102461,f890(f889(x102461,x102463),a881),f890(x102463,a881)),f313(f313(f10(f890(x102463,f890(f890(f889(x102461,x102463),a881),a881)),f890(f890(f889(x102461,x102463),a881),f890(x102463,a881)),x102461),f9(x102463,f890(f889(x102461,x102463),a881),a881)),f313(f313(f10(f890(x102463,f889(x102461,x102463)),f890(x102463,f890(f890(f889(x102461,x102463),a881),a881)),x102461),f313(f10(f889(x102461,x102463),f890(f890(f889(x102461,x102463),a881),a881),x102463),f315(f889(x102461,x102463)))),f240(x102461,x102463)))),x102464)),x102462))
% 119.46/119.24 [9908]P1(f313(f148(x99081,x99082),x99083))+~P1(f313(f148(x99081,f313(f313(f20(x99081,a881,a881),f313(f313(f10(a881,f890(a881,a881),x99081),a311),x99084)),x99082)),x99083))
% 119.46/119.24 [9909]P1(f313(f148(x99091,x99092),x99093))+~P1(f313(f148(x99091,f313(f313(f20(x99091,a881,a881),f313(f313(f10(a881,f890(a881,a881),x99091),a311),x99092)),x99094)),x99093))
% 119.46/119.24 [9997]~P120(x99971)+E(f313(f313(f74(x99971),f313(f313(f73(x99971),f71(x99971)),f71(x99971))),f313(f313(f8(a883,x99971),f313(f313(f10(x99971,x99971,a883),f313(f73(x99971),x99972)),f313(f313(f9(a883,x99971,x99971),f313(f313(f10(x99971,f890(x99971,x99971),a883),f74(x99971)),f91(x99971))),x99973))),f313(f268(a883),x99974))),f313(f313(f74(x99971),f313(f91(x99971),x99974)),f313(f313(f73(x99971),x99972),f313(f313(f73(x99971),x99972),f313(f313(f74(x99971),f313(f91(x99971),f313(f313(f3(a883),x99974),f71(a883)))),x99973)))))
% 119.46/119.24 [10139]P1(f313(x101391,f560(x101392,x101393,x101394,x101391)))+P36(x101392,f313(f250(f889(x101392,x101392)),f313(f245(x101392,x101392,a881),f313(f313(f10(f890(x101392,a881),f890(x101392,a881),x101392),f313(f20(x101392,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101392),a311),x101391))),f313(f313(f9(x101392,f890(x101392,x101392),f890(x101392,a881)),f313(f313(f10(f890(x101392,a881),f890(f890(x101392,x101392),f890(x101392,a881)),x101392),f10(x101392,a881,x101392)),a310)),x101393)))))
% 119.46/119.24 [10151]~P1(f313(f313(f223(a883),f313(x101514,f313(x101513,f560(x101511,x101513,x101514,x101512)))),f313(x101514,f560(x101511,x101513,x101514,x101512))))+P36(x101511,f313(f250(f889(x101511,x101511)),f313(f245(x101511,x101511,a881),f313(f313(f10(f890(x101511,a881),f890(x101511,a881),x101511),f313(f20(x101511,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101511),a311),x101512))),f313(f313(f9(x101511,f890(x101511,x101511),f890(x101511,a881)),f313(f313(f10(f890(x101511,a881),f890(f890(x101511,x101511),f890(x101511,a881)),x101511),f10(x101511,a881,x101511)),a310)),x101513)))))
% 119.46/119.24 [10218]~P5(x102181)+E(f31(x102181,f313(f250(x102181),f313(f313(f10(f890(f890(x102182,x102181),a881),a881,x102181),f80(f890(x102182,x102181))),f313(f313(f10(f890(f890(x102182,x102181),a881),f890(f890(x102182,x102181),a881),x102181),f313(f20(f890(x102182,x102181),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x102182,x102181)),a311),f313(f313(f9(f890(x102182,x102181),f890(f890(x102182,x102181),a881),a881),f315(f890(x102182,x102181))),x102183)))),f313(f313(f9(x102181,f890(f890(x102182,x102181),x102181),f890(f890(x102182,x102181),a881)),f313(f313(f10(f890(x102181,a881),f890(f890(f890(x102182,x102181),x102181),f890(f890(x102182,x102181),a881)),x102181),f10(x102181,a881,f890(x102182,x102181))),a310)),f313(f313(f9(f890(x102182,x102181),x102182,x102181),f7(f890(x102182,x102181))),x102184)))))),f313(f31(f890(x102182,x102181),x102183),x102184))
% 119.46/119.24 [10219]~P5(x102191)+E(f31(x102191,f313(f250(x102191),f313(f313(f10(f890(f890(x102192,x102191),a881),a881,x102191),f80(f890(x102192,x102191))),f313(f313(f10(f890(f890(x102192,x102191),a881),f890(f890(x102192,x102191),a881),x102191),f313(f20(f890(x102192,x102191),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x102192,x102191)),a311),f313(f313(f9(f890(x102192,x102191),f890(f890(x102192,x102191),a881),a881),f315(f890(x102192,x102191))),x102193)))),f313(f313(f9(x102191,f890(f890(x102192,x102191),x102191),f890(f890(x102192,x102191),a881)),f313(f313(f10(f890(x102191,a881),f890(f890(f890(x102192,x102191),x102191),f890(f890(x102192,x102191),a881)),x102191),f10(x102191,a881,f890(x102192,x102191))),a310)),f313(f313(f9(f890(x102192,x102191),x102192,x102191),f7(f890(x102192,x102191))),x102194)))))),f313(f31(f890(x102192,x102191),x102193),x102194))
% 119.46/119.24 [10220]~P5(x102201)+E(f30(x102201,f313(f250(x102201),f313(f313(f10(f890(f890(x102202,x102201),a881),a881,x102201),f80(f890(x102202,x102201))),f313(f313(f10(f890(f890(x102202,x102201),a881),f890(f890(x102202,x102201),a881),x102201),f313(f20(f890(x102202,x102201),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x102202,x102201)),a311),f313(f313(f9(f890(x102202,x102201),f890(f890(x102202,x102201),a881),a881),f315(f890(x102202,x102201))),x102203)))),f313(f313(f9(x102201,f890(f890(x102202,x102201),x102201),f890(f890(x102202,x102201),a881)),f313(f313(f10(f890(x102201,a881),f890(f890(f890(x102202,x102201),x102201),f890(f890(x102202,x102201),a881)),x102201),f10(x102201,a881,f890(x102202,x102201))),a310)),f313(f313(f9(f890(x102202,x102201),x102202,x102201),f7(f890(x102202,x102201))),x102204)))))),f313(f30(f890(x102202,x102201),x102203),x102204))
% 119.46/119.24 [10221]~P5(x102211)+E(f30(x102211,f313(f250(x102211),f313(f313(f10(f890(f890(x102212,x102211),a881),a881,x102211),f80(f890(x102212,x102211))),f313(f313(f10(f890(f890(x102212,x102211),a881),f890(f890(x102212,x102211),a881),x102211),f313(f20(f890(x102212,x102211),a881,a881),f313(f313(f10(a881,f890(a881,a881),f890(x102212,x102211)),a311),f313(f313(f9(f890(x102212,x102211),f890(f890(x102212,x102211),a881),a881),f315(f890(x102212,x102211))),x102213)))),f313(f313(f9(x102211,f890(f890(x102212,x102211),x102211),f890(f890(x102212,x102211),a881)),f313(f313(f10(f890(x102211,a881),f890(f890(f890(x102212,x102211),x102211),f890(f890(x102212,x102211),a881)),x102211),f10(x102211,a881,f890(x102212,x102211))),a310)),f313(f313(f9(f890(x102212,x102211),x102212,x102211),f7(f890(x102212,x102211))),x102214)))))),f313(f30(f890(x102212,x102211),x102213),x102214))
% 119.46/119.24 [10273]~P1(f313(f313(f315(f889(x102731,x102731)),f313(f313(f240(x102731,x102731),x102733),x102734)),f313(f313(f92(f890(f889(x102731,x102731),a881)),x102732),f293(x102731,f178(f890(f889(x102731,x102731),a881))))))+P1(f313(f313(f313(f313(f92(f890(x102731,f890(x102731,a881))),f313(f313(f9(x102731,f890(f889(x102731,x102731),a881),f890(x102731,a881)),f313(f313(f10(f890(x102731,f890(f890(f889(x102731,x102731),a881),a881)),f890(f890(f889(x102731,x102731),a881),f890(x102731,a881)),x102731),f9(x102731,f890(f889(x102731,x102731),a881),a881)),f313(f313(f10(f890(x102731,f889(x102731,x102731)),f890(x102731,f890(f890(f889(x102731,x102731),a881),a881)),x102731),f313(f10(f889(x102731,x102731),f890(f890(f889(x102731,x102731),a881),a881),x102731),f315(f889(x102731,x102731)))),f240(x102731,x102731)))),x102732)),a310),x102733),x102734))
% 119.46/119.24 [10282]P1(f313(f313(f315(f889(x102821,x102821)),f313(f313(f240(x102821,x102821),x102822),x102823)),f313(f313(f92(f890(f889(x102821,x102821),a881)),x102824),f293(x102821,f178(f890(f889(x102821,x102821),a881))))))+~P1(f313(f313(f313(f313(f92(f890(x102821,f890(x102821,a881))),f313(f313(f9(x102821,f890(f889(x102821,x102821),a881),f890(x102821,a881)),f313(f313(f10(f890(x102821,f890(f890(f889(x102821,x102821),a881),a881)),f890(f890(f889(x102821,x102821),a881),f890(x102821,a881)),x102821),f9(x102821,f890(f889(x102821,x102821),a881),a881)),f313(f313(f10(f890(x102821,f889(x102821,x102821)),f890(x102821,f890(f890(f889(x102821,x102821),a881),a881)),x102821),f313(f10(f889(x102821,x102821),f890(f890(f889(x102821,x102821),a881),a881),x102821),f315(f889(x102821,x102821)))),f240(x102821,x102821)))),x102824)),a310),x102822),x102823))
% 119.46/119.24 [10229]E(f313(f313(f139(f885(x102291)),f313(f313(f139(x102291),x102292),f313(f130(f885(x102291),f885(x102291),f122(x102291),f104(x102291)),f313(f313(f142(f885(x102291),f885(x102291)),f144(f885(x102291),x102291,f104(x102291),f313(f313(f10(f885(x102291),f890(f885(x102291),f885(x102291)),x102291),f18(f885(x102291),f885(x102291))),f313(f313(f9(x102291,f885(x102291),f885(x102291)),f139(x102291)),f104(x102291))))),x102293)))),f167(x102291,f313(f313(f139(f885(x102291)),x102294),f313(f130(f885(f885(x102291)),f885(f885(x102291)),f122(f885(x102291)),f104(f885(x102291))),f313(f313(f142(f885(x102291),f885(f885(x102291))),f144(f885(f885(x102291)),x102291,f104(f885(x102291)),f313(f18(f890(f885(x102291),f885(f885(x102291))),x102291),f313(f313(f9(f885(x102291),f885(f885(x102291)),f885(f885(x102291))),f139(f885(x102291))),f104(f885(x102291)))))),x102293))))),f167(x102291,f313(f313(f139(f885(x102291)),f313(f313(f139(x102291),x102292),x102294)),x102293)))+~P1(f313(f301(f885(f885(x102291)),f168(x102291)),f313(f313(f139(f885(x102291)),f313(f313(f139(x102291),x102292),x102294)),x102293)))
% 119.46/119.24 [10272]~P1(f313(f54(x102722),f313(f250(x102722),x102724)))+P1(f313(f54(x102721),f313(f250(x102721),f313(f313(f10(f890(x102722,a881),a881,x102721),f80(x102722)),f313(f313(f9(x102721,f890(x102722,a881),f890(x102722,a881)),f313(f313(f10(f890(x102722,f890(a881,a881)),f890(f890(x102722,a881),f890(x102722,a881)),x102721),f20(x102722,a881,a881)),f313(f313(f10(f890(x102722,a881),f890(x102722,f890(a881,a881)),x102721),f313(f10(a881,f890(a881,a881),x102722),a311)),f313(f313(f9(x102721,f890(x102722,x102721),f890(x102722,a881)),f313(f313(f10(f890(x102721,a881),f890(f890(x102722,x102721),f890(x102722,a881)),x102721),f10(x102721,a881,x102722)),a310)),x102723)))),x102724)))))
% 119.46/119.24 [5234]E(x52341,x52342)+~E(f157(x52343,x52341,x52344),f157(x52343,x52342,x52345))
% 119.46/119.24 [5235]E(x52351,x52352)+~E(f116(x52353,x52354,x52351),f116(x52353,x52355,x52352))
% 119.46/119.24 [5236]E(x52361,x52362)+~E(f116(x52363,x52361,x52364),f116(x52363,x52362,x52365))
% 119.46/119.24 [8147]~E(f313(x81473,x81474),x81475)+E(f68(x81471,x81472,x81473,x81474,x81475),x81473)
% 119.46/119.24 [8148]~E(f313(x81483,x81484),x81485)+E(f68(x81481,x81482,x81483,x81484,x81485),x81483)
% 119.46/119.24 [8675]~E(f68(x86754,x86755,x86751,x86752,x86753),x86751)+E(f313(x86751,x86752),x86753)
% 119.46/119.24 [6058]P1(f313(f238(x60581,x60582,x60583),x60584))+~P1(f313(f313(x60583,x60585),x60584))
% 119.46/119.24 [6059]P1(f313(f238(x60591,x60592,x60593),x60594))+~P1(f313(f313(x60593,x60595),x60594))
% 119.46/119.24 [6060]P1(f313(f237(x60601,x60602,x60603),x60604))+~P1(f313(f313(x60603,x60604),x60605))
% 119.46/119.24 [6061]P1(f313(f237(x60611,x60612,x60613),x60614))+~P1(f313(f313(x60613,x60614),x60615))
% 119.46/119.24 [6563]~E(x65635,f2(a90))+E(f313(f188(x65631,x65632,x65633,x65634),x65635),f106(x65632))
% 119.46/119.24 [6564]~E(x65645,f2(a90))+E(f313(f186(x65641,x65642,x65643,x65644),x65645),f114(x65642))
% 119.46/119.24 [6713]~E(x67133,f2(a90))+E(f313(f259(x67131,x67132,x67133,x67134),x67135),f313(f240(x67131,x67132),x67135))
% 119.46/119.24 [7798]~P20(x77984,x77981,x77982,x77985)+E(f313(f66(x77981,x77981,x77981,f313(x77982,x77983)),f313(x77982,x77983)),f313(x77982,x77983))
% 119.46/119.24 [8190]~P16(x81905,x81901,x81902)+E(f313(f66(x81901,x81901,x81901,f313(x81902,x81903)),f313(x81902,x81904)),f313(f66(x81901,x81901,x81901,f313(x81902,x81904)),f313(x81902,x81903)))
% 119.46/119.24 [8513]P1(f313(f313(f315(f889(x85131,x85131)),f313(f313(f240(x85131,x85131),x85132),x85133)),f307(x85131,x85134,x85135)))+~P1(f313(f313(f223(a883),f313(x85134,x85132)),f313(x85134,x85133)))
% 119.46/119.24 [8607]~P1(f313(f313(f315(x86074),x86073),f276(x86074,x86071,x86072,x86075)))+P1(f313(f313(x86071,x86072),x86073))
% 119.46/119.24 [8608]~P1(f313(f313(f315(x86084),x86083),f285(x86084,x86081,x86082,x86085)))+P1(f313(f313(x86081,x86082),x86083))
% 119.46/119.24 [8609]~P1(f313(f313(f315(x86094),x86092),f276(x86094,x86091,x86095,x86093)))+P1(f313(f313(x86091,x86092),x86093))
% 119.46/119.24 [8610]~P1(f313(f313(f315(x86104),x86102),f285(x86104,x86101,x86105,x86103)))+P1(f313(f313(x86101,x86102),x86103))
% 119.46/119.24 [8744]~P59(x87442,x87441,x87445,x87443,x87444)+E(f313(f296(x87441,x87442,x87443),x87444),f230(f890(x87442,a881)))
% 119.46/119.24 [9179]~P33(x91791,x91792,x91793,x91794,x91795)+P33(x91791,x91792,x91793,f313(f156(x91791),x91794),f313(f156(x91792),x91795))
% 119.46/119.24 [9181]~P33(x91811,x91812,x91813,f313(f156(x91811),x91814),x91815)+P33(x91811,x91812,x91813,x91814,f313(f156(x91812),x91815))
% 119.46/119.24 [9182]~P33(x91821,x91822,x91823,x91824,f313(f156(x91822),x91825))+P33(x91821,x91822,x91823,f313(f156(x91821),x91824),x91825)
% 119.46/119.24 [9188]P33(x91881,x91882,x91883,x91884,x91885)+~P33(x91881,x91882,x91883,f313(f156(x91881),x91884),f313(f156(x91882),x91885))
% 119.46/119.24 [9587]P1(f313(f313(f315(f889(f885(x95871),f885(x95871))),f313(f313(f240(f885(x95871),f885(x95871)),f313(f313(f139(x95871),x95872),x95873)),f313(f313(f139(x95871),x95872),x95874))),f145(x95871,x95875)))+~P1(f313(f313(f315(f889(f885(x95871),f885(x95871))),f313(f313(f240(f885(x95871),f885(x95871)),x95873),x95874)),f145(x95871,x95875)))
% 119.46/119.24 [9588]P1(f313(f313(f315(f889(f885(x95881),f885(x95881))),f313(f313(f240(f885(x95881),f885(x95881)),f313(f313(f122(x95881),x95882),x95883)),f313(f313(f122(x95881),x95882),x95884))),f135(x95881,x95885)))+~P1(f313(f313(f315(f889(f885(x95881),f885(x95881))),f313(f313(f240(f885(x95881),f885(x95881)),x95883),x95884)),f135(x95881,x95885)))
% 119.46/119.24 [9642]~E(f313(x96423,f852(x96422,x96421,x96424,x96425,x96423)),f313(f172(x96425,x96424,x96421),f852(x96422,x96421,x96424,x96425,x96423)))+E(f313(f313(x96421,x96422),f313(x96423,x96422)),f313(x96423,f313(a103,x96422)))
% 119.46/119.24 [9783]E(f313(f313(f139(x97831),f669(x97832,x97833,x97834,x97835,x97831)),f670(x97832,x97833,x97834,x97835,x97831)),x97835)+~P1(f313(f313(f315(f889(f885(x97831),f885(x97831))),f313(f313(f240(f885(x97831),f885(x97831)),x97835),f313(f313(f139(x97831),x97834),x97833))),f146(x97831,x97832)))
% 119.46/119.24 [9813]E(f313(f313(f139(x98131),f671(x98132,x98133,x98134,x98135,x98131)),f672(x98132,x98133,x98134,x98135,x98131)),x98133)+~P1(f313(f313(f315(f889(f885(x98131),f885(x98131))),f313(f313(f240(f885(x98131),f885(x98131)),f313(f313(f139(x98131),x98135),x98134)),x98133)),f146(x98131,x98132)))
% 119.46/119.24 [9957]~P1(f313(f313(f315(f889(f885(x99571),f885(x99571))),f313(f313(f240(f885(x99571),f885(x99571)),f313(f313(f139(x99571),x99575),x99572)),x99574)),f146(x99571,x99573)))+P1(f313(f313(f315(f889(f885(x99571),f885(x99571))),f313(f313(f240(f885(x99571),f885(x99571)),x99572),f672(x99573,x99574,x99572,x99575,x99571))),f146(x99571,x99573)))
% 119.46/119.24 [10040]~P1(f313(f313(f315(f889(f885(x100401),f885(x100401))),f313(f313(f240(f885(x100401),f885(x100401)),x100405),f313(f313(f139(x100401),x100404),x100403))),f146(x100401,x100402)))+P1(f313(f313(f315(f889(f885(x100401),f885(x100401))),f313(f313(f240(f885(x100401),f885(x100401)),f670(x100402,x100403,x100404,x100405,x100401)),x100403)),f146(x100401,x100402)))
% 119.46/119.24 [10223]P1(f313(f313(f315(f889(x102231,x102231)),f313(f313(f240(x102231,x102231),f313(x102232,f313(f313(f73(a883),x102233),x102234))),f313(x102232,x102233))),f293(x102231,x102235)))+~P1(f313(f313(f315(f889(x102231,x102231)),f313(f313(f240(x102231,x102231),f313(x102232,f313(a103,f602(x102234,x102233,x102235,x102232,x102231)))),f313(x102232,f602(x102234,x102233,x102235,x102232,x102231)))),f293(x102231,x102235)))
% 119.46/119.24 [5208]E(x52081,x52082)+~E(f313(f313(f139(x52083),x52084),x52081),f313(f313(f139(x52083),x52085),x52082))
% 119.46/119.24 [5209]E(x52091,x52092)+~E(f313(f313(f139(x52093),x52091),x52094),f313(f313(f139(x52093),x52092),x52095))
% 119.46/119.24 [5251]P1(f313(x52511,x52512))+~E(f313(f124(x52513,x52511),x52514),f313(f313(f139(x52513),x52512),x52515))
% 119.46/119.24 [5252]P1(f313(x52521,x52522))+~E(f313(f313(f139(x52523),x52522),x52524),f313(f124(x52523,x52521),x52525))
% 119.46/119.24 [5413]~E(f313(f313(f126(x54131),x54133),x54132),f313(f313(f139(x54131),x54134),x54135))+E(f313(f313(f152(x54131),x54132),x54133),x54134)
% 119.46/119.24 [5553]~P14(x55534,x55535,x55531)+E(f313(f313(x55531,x55532),f313(f313(x55531,x55532),x55533)),f313(f313(x55531,x55532),x55533))
% 119.46/119.24 [6118]~E(x61184,f2(a90))+E(f313(f313(f108(x61181,x61182,x61183),x61184),x61185),f313(f313(f240(f885(x61182),x61181),f104(x61182)),x61185))
% 119.46/119.24 [6194]~P4(x61942)+~E(f313(f313(f136(x61941,x61942,x61943),x61944),x61945),f104(x61941))
% 119.46/119.24 [6604]E(x66041,x66042)+~E(f313(f313(f122(x66043),x66044),f313(f313(f139(x66043),x66041),f104(x66043))),f313(f313(f122(x66043),x66045),f313(f313(f139(x66043),x66042),f104(x66043))))
% 119.46/119.24 [6605]E(x66051,x66052)+~E(f313(f313(f122(x66053),x66051),f313(f313(f139(x66053),x66054),f104(x66053))),f313(f313(f122(x66053),x66052),f313(f313(f139(x66053),x66055),f104(x66053))))
% 119.46/119.24 [6944]E(f313(f313(f295(x69441),f313(x69442,x69443)),f313(f296(x69444,x69441,x69442),x69445)),f313(f296(x69444,x69441,x69442),x69445))+~P1(f313(f313(f315(x69444),x69443),x69445))
% 119.46/119.24 [6953]~P1(f313(x69534,f313(x69533,x69535)))+P1(f313(f313(f297(x69531,x69532,x69533),x69534),x69535))
% 119.46/119.24 [6954]~P1(f313(f313(x69543,x69545),x69544))+P1(f313(f313(f231(x69541,x69542,x69543),x69544),x69545))
% 119.46/119.24 [6955]~P1(f313(f313(x69553,x69555),x69554))+P1(f313(f313(f231(x69551,x69552,x69553),x69554),x69555))
% 119.46/119.24 [6956]~P1(f313(f313(x69563,x69565),x69564))+P1(f313(f313(f231(x69561,x69562,x69563),x69564),x69565))
% 119.46/119.24 [7055]~E(f313(f296(x70551,x70552,x70553),x70554),x70555)+E(f313(f296(f890(x70551,a881),f890(x70552,a881),f296(x70551,x70552,x70553)),f313(f294(x70551),x70554)),f313(f294(x70552),x70555))
% 119.46/119.24 [7402]P24(x74021,x74022,x74023,x74024)+~P24(x74021,x74022,x74023,f313(f313(f295(x74021),x74025),x74024))
% 119.46/119.24 [7510]~P1(f313(f313(f315(x75104),x75103),x75105))+P1(f313(f313(f315(x75101),f313(x75102,x75103)),f313(f296(x75104,x75101,x75102),x75105)))
% 119.46/119.24 [7531]~P4(x75312)+E(f138(x75311,x75312,x75313,f313(f124(x75311,x75314),x75315)),f313(f124(x75311,x75314),f138(x75311,x75312,x75313,x75315)))
% 119.46/119.24 [7563]P1(f313(x75631,f313(x75632,x75633)))+~P1(f313(f313(f297(x75634,x75635,x75632),x75631),x75633))
% 119.46/119.24 [7564]P1(f313(f313(x75641,x75642),x75643))+~P1(f313(f313(f231(x75644,x75645,x75641),x75643),x75642))
% 119.46/119.24 [7565]P1(f313(f313(x75651,x75652),x75653))+~P1(f313(f313(f231(x75654,x75655,x75651),x75653),x75652))
% 119.46/119.24 [7566]P1(f313(f313(x75661,x75662),x75663))+~P1(f313(f313(f231(x75664,x75665,x75661),x75663),x75662))
% 119.46/119.24 [7631]~P1(f313(f313(f315(x76313),f313(x76314,x76312)),x76315))+P1(f313(f313(f315(x76311),x76312),f313(f297(x76311,x76313,x76314),x76315)))
% 119.46/119.24 [7632]~P1(f313(f313(f315(x76323),f313(x76324,x76322)),x76325))+P1(f313(f313(f315(x76321),x76322),f313(f297(x76321,x76323,x76324),x76325)))
% 119.46/119.24 [8030]~P1(f313(f313(f315(x80305),x80303),f313(f297(x80305,x80301,x80302),x80304)))+P1(f313(f313(f315(x80301),f313(x80302,x80303)),x80304))
% 119.46/119.24 [8031]~P1(f313(f313(f315(x80315),x80313),f313(f297(x80315,x80311,x80312),x80314)))+P1(f313(f313(f315(x80311),f313(x80312,x80313)),x80314))
% 119.46/119.24 [8329]~P16(x83292,x83291,x83293)+E(f313(f130(x83291,x83292,f313(f9(x83292,x83291,x83291),x83293),x83294),f140(x83292,x83295)),f313(f313(f57(x83292,x83291,x83293),x83294),f313(f160(x83292),x83295)))
% 119.46/119.24 [8350]E(f313(x83501,f376(x83502,x83501,x83503,x83504)),x83504)+~P1(f313(f313(f315(x83505),x83504),f313(f296(x83503,x83505,x83501),x83502)))
% 119.46/119.24 [8653]~E(x86532,f313(f313(f139(x86531),x86534),x86535))+P1(f313(f313(f315(f889(f885(x86531),f885(x86531))),f313(f313(f240(f885(x86531),f885(x86531)),f104(x86531)),x86532)),f135(x86531,x86533)))
% 119.46/119.24 [8694]E(f313(x86941,f313(f85(x86942,x86943,x86944,x86941),x86945)),x86945)+~P1(f313(f313(f315(x86943),x86945),f313(f296(x86942,x86943,x86941),x86944)))
% 119.46/119.24 [8701]~P33(x87011,x87013,x87015,x87012,x87014)+E(f313(f179(f885(x87011)),x87012),f313(f179(f885(x87013)),x87014))
% 119.46/119.24 [8702]~P33(x87021,x87023,x87025,x87022,x87024)+E(f313(f179(f885(x87021)),x87022),f313(f179(f885(x87023)),x87024))
% 119.46/119.24 [8703]~P33(x87031,x87033,x87035,x87032,x87034)+E(f313(f179(f885(x87031)),x87032),f313(f179(f885(x87033)),x87034))
% 119.46/119.24 [8714]P1(f313(f313(f222(f890(x87141,a881)),f313(f313(f32(x87142,f890(x87141,a881)),x87143),x87144)),f313(x87144,x87145)))+~P1(f313(f313(f315(x87142),x87145),x87143))
% 119.46/119.24 [8760]~P59(x87601,x87602,x87603,x87605,x87604)+E(f313(f296(x87601,x87602,x87603),f230(f890(x87601,a881))),x87604)
% 119.46/119.24 [8977]E(f313(f124(x89771,x89772),f760(x89773,x89774,x89775,x89772,x89771)),x89773)+~E(f313(f124(x89771,x89772),x89775),f313(f313(f139(x89771),x89774),x89773))
% 119.46/119.24 [8978]E(f313(f124(x89781,x89782),f761(x89783,x89782,x89784,x89785,x89781)),x89784)+~E(f313(f313(f139(x89781),x89785),x89784),f313(f124(x89781,x89782),x89783))
% 119.46/119.24 [9069]E(f313(f179(f885(x90691)),x90692),x90693)+~P1(f313(f313(f315(f889(f885(x90691),f885(x90691))),f313(f313(f240(f885(x90691),f885(x90691)),x90694),x90692)),f313(f131(x90691,x90695),x90693)))
% 119.46/119.24 [9070]E(f313(f179(f885(x90701)),x90702),x90703)+~P1(f313(f313(f315(f889(f885(x90701),f885(x90701))),f313(f313(f240(f885(x90701),f885(x90701)),x90702),x90704)),f313(f131(x90701,x90705),x90703)))
% 119.46/119.24 [9137]P1(f313(f313(f315(x91371),f376(x91372,x91373,x91371,x91374)),x91372))+~P1(f313(f313(f315(x91375),x91374),f313(f296(x91371,x91375,x91373),x91372)))
% 119.46/119.24 [9294]~P39(f890(x92943,a881),f890(x92941,a881),x92942)+P1(f313(f313(f222(f890(x92941,a881)),f313(x92942,f313(f313(f93(f890(x92943,a881)),x92944),x92945))),f313(f313(f93(f890(x92941,a881)),f313(x92942,x92944)),f313(x92942,x92945))))
% 119.46/119.24 [9296]E(f313(f296(x92961,x92962,x92963),f332(x92964,x92963,x92961,x92965,x92962)),x92965)+~P1(f313(f313(f222(f890(x92962,a881)),x92965),f313(f296(x92961,x92962,x92963),x92964)))
% 119.46/119.24 [9605]P1(f313(f313(f315(f889(f885(x96051),f885(x96051))),f313(f313(f240(f885(x96051),f885(x96051)),f313(f313(f139(x96051),x96052),x96053)),f313(f313(f139(x96051),x96052),x96054))),f293(f885(x96051),f145(x96051,x96055))))+~P1(f313(f313(f315(f889(f885(x96051),f885(x96051))),f313(f313(f240(f885(x96051),f885(x96051)),x96053),x96054)),f293(f885(x96051),f145(x96051,x96055))))
% 119.46/119.24 [9635]~E(f313(x96353,f679(x96355,x96354,x96353,x96352,x96351)),f313(x96355,f679(x96355,x96354,x96353,x96352,x96351)))+E(f313(f313(f142(x96351,x96352),x96353),x96354),f313(f313(f142(x96351,x96352),x96355),x96354))
% 119.46/119.24 [9714]~E(f313(f124(x97141,x97145),x97144),f313(f313(f139(x97141),x97143),x97142))+E(f313(f313(f122(x97141),f764(x97142,x97143,x97144,x97145,x97141)),f313(f313(f139(x97141),x97143),f760(x97142,x97143,x97144,x97145,x97141))),x97144)
% 119.46/119.24 [9715]~E(f313(f313(f139(x97151),x97155),x97154),f313(f124(x97151,x97153),x97152))+E(f313(f313(f122(x97151),f762(x97152,x97153,x97154,x97155,x97151)),f313(f313(f139(x97151),x97155),f761(x97152,x97153,x97154,x97155,x97151))),x97152)
% 119.46/119.24 [9719]E(f313(f313(f142(x97191,x97192),x97193),x97194),f313(f313(f142(x97191,x97192),x97195),x97194))+P1(f313(f313(f315(x97191),f679(x97193,x97194,x97195,x97192,x97191)),f313(f160(x97191),x97194)))
% 119.46/119.24 [9750]~P1(f313(f313(f315(x97505),x97504),f313(f271(x97501,x97505,x97503),x97502)))+P1(f313(f313(f315(x97501),f447(x97502,x97503,x97501,x97504,x97505)),x97502))
% 119.46/119.24 [9751]~P1(f313(f313(f315(x97515),x97514),f313(f271(x97511,x97515,x97513),x97512)))+P1(f313(f313(f315(x97511),f454(x97512,x97513,x97511,x97514,x97515)),x97512))
% 119.46/119.24 [9777]~P1(f313(f313(f222(f890(x97775,a881)),x97774),f313(f296(x97771,x97775,x97773),x97772)))+P1(f313(f313(f222(f890(x97771,a881)),f332(x97772,x97773,x97771,x97774,x97775)),x97772))
% 119.46/119.24 [10224]E(x102241,f2(a90))+E(f213(f889(f885(x102242),x102243),f889(x102242,x102243),f313(f313(f240(f885(x102242),x102243),f104(x102242)),x102244),f313(f245(x102242,x102243,f889(f885(x102242),x102243)),f313(f313(f9(x102242,f890(x102243,f889(f885(x102242),x102243)),f890(x102243,f889(f885(x102242),x102243))),f313(f313(f10(f890(f889(f885(x102242),x102243),f889(f885(x102242),x102243)),f890(f890(x102243,f889(f885(x102242),x102243)),f890(x102243,f889(f885(x102242),x102243))),x102242),f10(f889(f885(x102242),x102243),f889(f885(x102242),x102243),x102243)),f313(f313(f10(f890(f885(x102242),f890(x102243,f889(f885(x102242),x102243))),f890(f889(f885(x102242),x102243),f889(f885(x102242),x102243)),x102242),f245(f885(x102242),x102243,f889(f885(x102242),x102243))),f313(f313(f10(f890(f885(x102242),f885(x102242)),f890(f885(x102242),f890(x102243,f889(f885(x102242),x102243))),x102242),f313(f10(f885(x102242),f890(x102243,f889(f885(x102242),x102243)),f885(x102242)),f240(f885(x102242),x102243))),f139(x102242))))),f313(f108(x102243,x102242,x102245),f313(f313(f3(a90),x102241),f71(a90))))),f313(x102245,x102244)),f313(f313(f108(x102243,x102242,x102245),x102241),x102244))
% 119.46/119.24 [5995]E(x59951,x59952)+~E(f313(f244(x59953,x59954),f313(f313(f240(x59953,x59954),x59955),x59951)),x59952)
% 119.46/119.24 [5996]E(x59961,x59962)+~E(f313(f239(x59963,x59964),f313(f313(f240(x59963,x59964),x59961),x59965)),x59962)
% 119.46/119.24 [6270]~E(x62703,f313(f313(f122(x62701),x62704),f313(f313(f139(x62701),x62702),x62705)))+P1(f313(f313(f315(x62701),x62702),f313(f160(x62701),x62703)))
% 119.46/119.24 [6632]E(f38(a883,x66321,x66322),f38(a883,x66323,x66322))+~E(f313(f313(f73(a883),x66321),f313(f313(f74(a883),x66322),x66324)),f313(f313(f73(a883),x66323),f313(f313(f74(a883),x66322),x66325)))
% 119.46/119.24 [6699]E(f313(f296(x66991,x66992,f313(f18(x66992,x66991),x66993)),x66994),f313(f313(f295(x66992),x66993),f178(f890(x66992,a881))))+~P1(f313(f313(f315(x66991),x66995),x66994))
% 119.46/119.24 [6776]E(f313(f313(f92(f890(x67761,a881)),f313(f160(x67761),x67762)),f313(f160(x67761),x67763)),f313(f160(x67761),x67764))+~E(f154(x67761,x67765,x67764),f313(f313(f240(f885(x67761),f885(x67761)),x67762),x67763))
% 119.46/119.24 [6880]~P4(x68802)+E(f313(f179(f885(x68801)),f313(f313(f136(x68801,x68802,x68803),x68804),x68805)),f313(a103,f313(f179(f885(x68801)),x68805)))
% 119.46/119.24 [6896]~P4(x68962)+E(f313(f160(x68961),f313(f313(f136(x68961,x68962,x68963),x68964),x68965)),f313(f313(f295(x68961),x68964),f313(f160(x68961),x68965)))
% 119.46/119.24 [7178]~P120(x71781)+E(f313(f313(f74(x71781),f313(f313(f74(x71781),x71782),x71783)),f313(f313(f74(x71781),x71784),x71785)),f313(f313(f74(x71781),f313(f313(f74(x71781),x71782),x71784)),f313(f313(f74(x71781),x71783),x71785)))
% 119.46/119.24 [7179]~P120(x71791)+E(f313(f313(f73(x71791),f313(f313(f73(x71791),x71792),x71793)),f313(f313(f73(x71791),x71794),x71795)),f313(f313(f73(x71791),f313(f313(f73(x71791),x71792),x71794)),f313(f313(f73(x71791),x71793),x71795)))
% 119.46/119.24 [7180]~P70(x71801)+E(f313(f313(f277(x71801),f313(f313(f74(x71801),x71802),x71803)),f313(f313(f74(x71801),x71804),x71805)),f313(f313(f74(x71801),f313(f313(f277(x71801),x71802),x71804)),f313(f313(f277(x71801),x71803),x71805)))
% 119.46/119.24 [7194]~P4(x71941)+E(f289(x71941,f313(f313(f177(x71941),x71942),x71943),f313(f313(f227(x71941),x71944),x71945)),f313(f313(f93(f890(x71941,a881)),f289(x71941,x71942,x71944)),f289(x71941,x71943,x71945)))
% 119.46/119.24 [7195]~P4(x71951)+E(f291(x71951,f313(f313(f177(x71951),x71952),x71953),f313(f313(f227(x71951),x71954),x71955)),f313(f313(f93(f890(x71951,a881)),f291(x71951,x71952,x71954)),f291(x71951,x71953,x71955)))
% 119.46/119.24 [7196]~P4(x71961)+E(f292(x71961,f313(f313(f177(x71961),x71962),x71963),f313(f313(f227(x71961),x71964),x71965)),f313(f313(f93(f890(x71961,a881)),f292(x71961,x71962,x71964)),f292(x71961,x71963,x71965)))
% 119.46/119.24 [7197]~P4(x71971)+E(f313(f313(f93(f890(x71971,a881)),f313(f288(x71971,x71972),x71973)),f313(f288(x71971,x71974),x71975)),f313(f288(x71971,f313(f313(f177(x71971),x71972),x71974)),f313(f313(f227(x71971),x71973),x71975)))
% 119.46/119.24 [7318]~P1(f313(x73181,f842(x73183,x73182,x73181)))+P1(f313(x73181,f313(f313(f240(x73182,x73183),x73184),x73185)))
% 119.46/119.24 [7435]~E(x74352,f313(x74354,x74355))+P1(f313(f313(f315(x74351),x74352),f313(f296(x74353,x74351,x74354),f230(f890(x74353,a881)))))
% 119.46/119.24 [7507]~P14(x75073,x75072,x75074)+P14(x75071,x75072,f313(f313(f10(x75073,f890(x75072,x75072),x75071),x75074),x75075))
% 119.46/119.24 [7508]~P16(x75083,x75082,x75084)+P16(x75081,x75082,f313(f313(f10(x75083,f890(x75082,x75082),x75081),x75084),x75085))
% 119.46/119.24 [7649]~P24(x76491,x76492,x76493,x76494)+P24(x76491,x76492,x76493,f313(f313(f3(f890(x76491,a881)),x76494),x76495))
% 119.46/119.24 [7806]~P1(f313(f313(x78063,x78064),x78065))+P1(f313(f313(f245(x78061,x78062,a881),x78063),f313(f313(f240(x78061,x78062),x78064),x78065)))
% 119.46/119.24 [7807]~P1(f313(f313(x78073,x78074),x78075))+P1(f313(f313(f245(x78071,x78072,a881),x78073),f313(f313(f240(x78071,x78072),x78074),x78075)))
% 119.46/119.24 [7921]~P1(f313(x79212,x79214))+~E(f313(f313(f126(x79211),f313(f179(f885(x79211)),f165(x79211,x79212,x79213))),x79213),f313(f313(f139(x79211),x79214),x79215))
% 119.46/119.24 [7941]P24(x79411,x79412,x79413,x79414)+~P24(x79411,x79412,x79413,f313(f313(f92(f890(x79411,a881)),x79415),x79414))
% 119.46/119.24 [7942]P24(x79421,x79422,x79423,x79424)+~P24(x79421,x79422,x79423,f313(f313(f92(f890(x79421,a881)),x79424),x79425))
% 119.46/119.24 [7990]~P4(x79902)+E(f313(f313(f136(x79901,x79902,x79903),x79904),f138(x79901,x79902,x79903,x79905)),f138(x79901,x79902,x79903,f313(f313(f139(x79901),x79904),x79905)))
% 119.46/119.24 [8306]~P14(x83062,x83061,x83063)+E(f313(f130(x83061,x83062,f313(f9(x83062,x83061,x83061),x83063),x83064),x83065),f313(f313(f57(x83062,x83061,x83063),x83064),f313(f160(x83062),x83065)))
% 119.46/119.24 [8334]~E(f313(f313(f126(x83341),f313(f179(f885(x83341)),f165(x83341,x83342,x83343))),x83343),f313(f313(f139(x83341),x83344),x83345))+E(f313(f313(f122(x83341),f165(x83341,x83342,x83343)),f313(f313(f139(x83341),x83344),x83345)),x83343)
% 119.46/119.24 [8360]P1(f313(f313(x83601,x83602),x83603))+~P1(f313(f313(f245(x83604,x83605,a881),x83601),f313(f313(f240(x83604,x83605),x83602),x83603)))
% 119.46/119.24 [8817]P1(f313(f313(f222(f890(x88171,a881)),f313(f296(x88172,x88171,x88173),x88174)),f313(f296(x88172,x88171,x88173),x88175)))+~P1(f313(f313(f222(f890(x88172,a881)),x88174),x88175))
% 119.46/119.24 [8818]P1(f313(f313(f222(f890(x88181,a881)),f313(f297(x88181,x88182,x88183),x88184)),f313(f297(x88181,x88182,x88183),x88185)))+~P1(f313(f313(f222(f890(x88182,a881)),x88184),x88185))
% 119.46/119.24 [8892]E(x88921,f2(a90))+E(f313(f313(f247(x88922,x88923,x88922,f889(x88923,x88922)),f313(x88924,x88925)),f259(x88923,x88922,f313(f313(f3(a90),x88921),f71(a90)),x88924)),f313(f259(x88923,x88922,x88921,x88924),x88925))
% 119.46/119.24 [9000]P1(f313(f313(f243(x90001,x90002,a881,x90003),x90004),x90005))+~P1(f313(x90003,f313(f313(f240(x90001,x90002),x90004),x90005)))
% 119.46/119.24 [9272]~P1(f313(f313(f243(x92722,x92723,a881,x92721),x92724),x92725))+P1(f313(x92721,f313(f313(f240(x92722,x92723),x92724),x92725)))
% 119.46/119.24 [9273]~P1(f313(f313(f243(x92732,x92733,a881,x92731),x92734),x92735))+P1(f313(x92731,f313(f313(f240(x92732,x92733),x92734),x92735)))
% 119.46/119.24 [9552]~P1(f313(f54(x95523),f313(f296(x95522,x95523,x95525),f230(f890(x95522,a881)))))+P1(f313(f54(x95521),f313(f296(x95522,x95521,f313(f313(f10(x95523,x95521,x95522),x95524),x95525)),f230(f890(x95522,a881)))))
% 119.46/119.24 [9574]P1(f313(f313(f222(f890(f890(x95741,a881),a881)),f313(f296(f890(x95742,a881),f890(x95741,a881),f296(x95742,x95741,x95743)),f313(f294(x95742),x95744))),f313(f294(x95741),x95745)))+~P1(f313(f313(f222(f890(x95741,a881)),f313(f296(x95742,x95741,x95743),x95744)),x95745))
% 119.46/119.24 [9644]E(x96441,x96442)+~P1(f313(f59(x96443,x96444,x96445,x96441,f178(f890(x96443,a881))),x96442))
% 119.46/119.24 [9660]E(f313(f313(f240(x96601,x96602),f525(x96603,x96604,x96605,x96602,x96601)),f526(x96603,x96604,x96605,x96602,x96601)),x96605)+~P1(f313(f313(f315(f889(x96601,x96602)),x96605),f313(f313(f242(x96601,x96602),x96604),x96603)))
% 119.46/119.24 [9755]P1(f313(f313(f315(x97551),f525(x97552,x97553,x97554,x97555,x97551)),x97553))+~P1(f313(f313(f315(f889(x97551,x97555)),x97554),f313(f313(f242(x97551,x97555),x97553),x97552)))
% 119.46/119.24 [9916]P1(f313(f313(f315(x99161),f526(x99162,x99163,x99164,x99161,x99165)),f313(x99162,f525(x99162,x99163,x99164,x99161,x99165))))+~P1(f313(f313(f315(f889(x99165,x99161)),x99164),f313(f313(f242(x99165,x99161),x99163),x99162)))
% 119.46/119.24 [9936]P1(f313(f313(f315(f889(x99361,x99361)),f313(f313(f240(x99361,x99361),x99362),f623(x99363,x99364,x99365,x99362,x99361))),x99363))+~P1(f313(f313(f315(f889(x99361,x99361)),f313(f313(f240(x99361,x99361),x99362),x99365)),f313(f313(f171(f889(x99361,x99361),a881),f313(a103,x99364)),x99363)))
% 119.46/119.24 [9937]P1(f313(f313(f315(f889(x99371,x99371)),f313(f313(f240(x99371,x99371),x99372),f625(x99373,x99374,x99375,x99372,x99371))),x99373))+~P1(f313(f313(f315(f889(x99371,x99371)),f313(f313(f240(x99371,x99371),x99372),x99375)),f313(f313(f171(f889(x99371,x99371),a881),f313(a103,x99374)),x99373)))
% 119.46/119.24 [9954]~P1(f313(f313(f315(f889(f885(x99541),f885(x99541))),f313(f313(f240(f885(x99541),f885(x99541)),f313(f313(f139(x99541),x99542),x99545)),x99544)),f146(x99541,x99543)))+P1(f313(f313(f315(f889(x99541,x99541)),f313(f313(f240(x99541,x99541),x99542),f671(x99543,x99544,x99545,x99542,x99541))),x99543))
% 119.46/119.24 [6355]P1(f313(x63552,x63554))+E(f165(x63551,x63552,f313(f313(f122(x63551),x63553),f313(f313(f139(x63551),x63554),x63555))),f165(x63551,x63552,x63553))
% 119.46/119.24 [6405]~P84(x64052)+E(f313(f313(f313(f3(f890(x64051,x64052)),x64053),x64054),x64055),f313(f313(f3(x64052),f313(x64053,x64055)),f313(x64054,x64055)))
% 119.46/119.24 [6406]~P84(x64062)+E(f313(f313(f313(f3(f890(x64061,x64062)),x64063),x64064),x64065),f313(f313(f3(x64062),f313(x64063,x64065)),f313(x64064,x64065)))
% 119.46/119.24 [6407]~P103(x64072)+E(f313(f313(f313(f92(f890(x64071,x64072)),x64073),x64074),x64075),f313(f313(f92(x64072),f313(x64073,x64075)),f313(x64074,x64075)))
% 119.46/119.24 [6408]~P103(x64082)+E(f313(f313(f313(f92(f890(x64081,x64082)),x64083),x64084),x64085),f313(f313(f92(x64082),f313(x64083,x64085)),f313(x64084,x64085)))
% 119.46/119.24 [6409]~P103(x64092)+E(f313(f313(f313(f93(f890(x64091,x64092)),x64093),x64094),x64095),f313(f313(f93(x64092),f313(x64093,x64095)),f313(x64094,x64095)))
% 119.46/119.24 [6410]~P103(x64102)+E(f313(f313(f313(f93(f890(x64101,x64102)),x64103),x64104),x64105),f313(f313(f93(x64102),f313(x64103,x64105)),f313(x64104,x64105)))
% 119.46/119.24 [6432]E(x64321,x64322)+E(f313(f313(f152(x64323),f313(f313(f147(x64323,x64324),x64321),x64325)),x64322),f313(f313(f152(x64323),x64324),x64322))
% 119.46/119.24 [6718]~E(x67184,f178(f890(x67183,a881)))+E(f313(f313(f3(f890(x67181,a881)),x67182),f313(f313(f33(x67183,f890(x67181,a881)),x67184),x67185)),x67182)
% 119.46/119.24 [6719]~E(x67194,f178(f890(x67193,a881)))+E(f313(f313(f92(f890(x67191,a881)),x67192),f313(f313(f33(x67193,f890(x67191,a881)),x67194),x67195)),x67192)
% 119.46/119.24 [6720]~E(x67204,f178(f890(x67203,a881)))+E(f313(f313(f93(f890(x67201,a881)),x67202),f313(f313(f32(x67203,f890(x67201,a881)),x67204),x67205)),x67202)
% 119.46/119.24 [6737]~E(x67374,f178(f890(x67373,a881)))+E(f313(f313(f295(x67371),x67372),f313(f313(f33(x67373,f890(x67371,a881)),x67374),x67375)),f313(f313(f295(x67371),x67372),f178(f890(x67371,a881))))
% 119.46/119.24 [7177]~P120(x71771)+E(f313(f313(f74(x71771),f313(f313(f74(x71771),x71772),x71773)),f313(f313(f74(x71771),x71774),x71775)),f313(f313(f74(x71771),x71772),f313(f313(f74(x71771),x71773),f313(f313(f74(x71771),x71774),x71775))))
% 119.46/119.24 [7555]E(f313(f313(f152(x75551),f313(f313(f142(x75552,x75551),x75553),x75554)),x75555),f313(x75553,f313(f313(f152(x75552),x75554),x75555)))+~P1(f313(f313(f223(a883),x75555),f313(f179(f885(x75552)),x75554)))
% 119.46/119.24 [7620]E(f313(f313(f92(f890(x76201,a881)),f313(x76202,x76203)),f313(f313(f33(x76204,f890(x76201,a881)),x76205),x76202)),f313(f313(f33(x76204,f890(x76201,a881)),x76205),x76202))+~P1(f313(f313(f315(x76204),x76203),x76205))
% 119.46/119.24 [7621]E(f313(f313(f93(f890(x76211,a881)),f313(x76212,x76213)),f313(f313(f32(x76214,f890(x76211,a881)),x76215),x76212)),f313(f313(f32(x76214,f890(x76211,a881)),x76215),x76212))+~P1(f313(f313(f315(x76214),x76213),x76215))
% 119.46/119.24 [8229]~E(x82293,f178(f890(x82291,a881)))+E(f313(f313(f33(x82291,f890(x82292,a881)),x82293),f313(f313(f10(f890(x82292,a881),f890(x82292,a881),x82291),f313(f295(x82292),x82294)),x82295)),f178(f890(x82292,a881)))
% 119.46/119.24 [8234]~P1(f313(f313(f315(x82344),x82343),x82345))+P1(f313(f313(f222(f890(x82341,a881)),f313(x82342,x82343)),f313(f313(f33(x82344,f890(x82341,a881)),x82345),x82342)))
% 119.46/119.24 [8359]~E(f313(x83594,x83592),x83595)+P1(f313(f313(f315(x83591),x83592),f313(f297(x83591,x83593,x83594),f313(f313(f295(x83593),x83595),f178(f890(x83593,a881))))))
% 119.46/119.24 [8405]~P57(x84051,x84052,f313(f272(x84052,x84051),x84053))+E(f313(f313(f93(f890(x84051,a881)),f313(f271(x84052,x84051,x84053),x84054)),f313(f271(x84052,x84051,x84053),x84055)),f313(f271(x84052,x84051,x84053),f313(f313(f93(f890(x84052,a881)),x84054),x84055)))
% 119.46/119.24 [8480]E(x84801,f2(a90))+E(f313(f109(x84802,x84803,f313(x84804,f313(f313(f3(a90),x84801),f71(a90)))),f313(f313(f9(x84802,a90,f884(x84803)),x84805),x84801)),f313(f188(x84802,x84803,x84804,x84805),x84801))
% 119.46/119.24 [8519]E(x85191,f178(f890(x85192,a881)))+E(f313(f313(f33(x85192,f890(x85193,a881)),x85191),f313(f313(f10(f890(x85193,a881),f890(x85193,a881),x85192),f313(f295(x85193),x85194)),x85195)),f313(f313(f295(x85193),x85194),f313(f313(f33(x85192,f890(x85193,a881)),x85191),x85195)))
% 119.46/119.24 [8520]E(x85201,f178(f890(x85202,a881)))+E(f313(f313(f33(x85202,f890(x85203,a881)),x85201),f313(f313(f10(f890(x85203,a881),f890(x85203,a881),x85202),f313(f295(x85203),x85204)),x85205)),f313(f313(f295(x85203),x85204),f313(f313(f33(x85202,f890(x85203,a881)),x85201),x85205)))
% 119.46/119.24 [8573]~P24(x85732,x85731,x85733,f230(f890(x85732,a881)))+E(f313(f313(f3(f890(x85731,a881)),f313(f296(x85732,x85731,x85733),x85734)),f313(f296(x85732,x85731,x85733),x85735)),f313(f296(x85732,x85731,x85733),f313(f313(f3(f890(x85732,a881)),x85734),x85735)))
% 119.46/119.24 [8574]~P24(x85742,x85741,x85743,f230(f890(x85742,a881)))+E(f313(f313(f93(f890(x85741,a881)),f313(f296(x85742,x85741,x85743),x85744)),f313(f296(x85742,x85741,x85743),x85745)),f313(f296(x85742,x85741,x85743),f313(f313(f93(f890(x85742,a881)),x85744),x85745)))
% 119.46/119.24 [8640]~P1(f313(f313(f60(x86401,x86402,x86405),x86403),x86404))+P1(f313(f313(f315(f889(x86401,x86402)),f313(f313(f240(x86401,x86402),x86403),x86404)),x86405))
% 119.46/119.24 [8669]P1(f313(f313(f315(x86691),x86692),f313(f270(x86693,x86691),x86694)))+~P1(f313(f313(f315(f889(x86693,x86691)),f313(f313(f240(x86693,x86691),x86695),x86692)),x86694))
% 119.46/119.24 [8670]P1(f313(f313(f315(x86701),x86702),f313(f270(x86703,x86701),x86704)))+~P1(f313(f313(f315(f889(x86703,x86701)),f313(f313(f240(x86703,x86701),x86705),x86702)),x86704))
% 119.46/119.24 [8671]P1(f313(f313(f315(x86711),x86712),f313(f252(x86711,x86713),x86714)))+~P1(f313(f313(f315(f889(x86711,x86713)),f313(f313(f240(x86711,x86713),x86712),x86715)),x86714))
% 119.46/119.24 [8672]P1(f313(f313(f315(x86721),x86722),f313(f252(x86721,x86723),x86724)))+~P1(f313(f313(f315(f889(x86721,x86723)),f313(f313(f240(x86721,x86723),x86722),x86725)),x86724))
% 119.46/119.24 [8801]P1(f313(f313(f60(x88011,x88012,x88013),x88014),x88015))+~P1(f313(f313(f315(f889(x88011,x88012)),f313(f313(f240(x88011,x88012),x88014),x88015)),x88013))
% 119.46/119.24 [8839]E(f313(x88391,x88392),x88393)+~P1(f313(f313(f315(x88394),x88392),f313(f297(x88394,x88395,x88391),f313(f313(f295(x88395),x88393),f178(f890(x88395,a881))))))
% 119.46/119.24 [9065]P1(f313(f313(f315(f889(x90651,x90652)),f313(f313(f240(x90651,x90652),x90653),x90654)),f313(f272(x90652,x90651),x90655)))+~P1(f313(f313(f315(f889(x90652,x90651)),f313(f313(f240(x90652,x90651),x90654),x90653)),x90655))
% 119.46/119.24 [9066]P1(f313(f313(f315(f889(x90661,x90662)),f313(f313(f240(x90661,x90662),x90663),x90664)),f313(f272(x90662,x90661),x90665)))+~P1(f313(f313(f315(f889(x90662,x90661)),f313(f313(f240(x90662,x90661),x90664),x90663)),x90665))
% 119.46/119.24 [9084]~P1(f313(f313(x90841,x90845),x90844))+P1(f313(f313(x90841,f313(f244(x90842,x90843),f313(f313(f240(x90842,x90843),x90844),x90845))),f313(f239(x90842,x90843),f313(f313(f240(x90842,x90843),x90844),x90845))))
% 119.46/119.24 [9112]~P1(f313(f313(f315(f889(x91122,x91121)),f313(f313(f240(x91122,x91121),x91124),x91123)),f313(f272(x91121,x91122),x91125)))+P1(f313(f313(f315(f889(x91121,x91122)),f313(f313(f240(x91121,x91122),x91123),x91124)),x91125))
% 119.46/119.24 [9113]~P1(f313(f313(f315(f889(x91132,x91131)),f313(f313(f240(x91132,x91131),x91134),x91133)),f313(f272(x91131,x91132),x91135)))+P1(f313(f313(f315(f889(x91131,x91132)),f313(f313(f240(x91131,x91132),x91133),x91134)),x91135))
% 119.46/119.24 [9145]~P1(f313(f313(f315(f889(x91453,x91451)),f313(f313(f240(x91453,x91451),x91455),x91452)),x91454))+P1(f313(f313(f315(x91451),x91452),f313(f271(x91453,x91451,x91454),f313(f313(f295(x91453),x91455),f178(f890(x91453,a881))))))
% 119.46/119.24 [9192]P1(f313(f313(f315(f889(x91921,x91922)),f313(f313(f240(x91921,x91922),x91923),x91924)),x91925))+~P1(f313(f313(f315(x91922),x91924),f313(f271(x91921,x91922,x91925),f313(f313(f295(x91921),x91923),f178(f890(x91921,a881))))))
% 119.46/119.24 [9280]~P79(x92801)+E(f313(f313(f8(a883,x92801),x92802),f289(a883,f313(f313(f73(a883),x92803),x92804),f313(f313(f73(a883),x92805),x92804))),f313(f313(f8(a883,x92801),f313(f313(f10(a883,x92801,a883),x92802),f313(f313(f9(a883,a883,a883),f73(a883)),x92804))),f289(a883,x92803,x92805)))
% 119.46/119.24 [9300]~P79(x93001)+E(f313(f313(f8(a883,x93001),x93002),f313(f288(a883,f313(f313(f73(a883),x93003),x93004)),f313(f313(f73(a883),x93005),x93004))),f313(f313(f8(a883,x93001),f313(f313(f10(a883,x93001,a883),x93002),f313(f313(f9(a883,a883,a883),f73(a883)),x93004))),f313(f288(a883,x93003),x93005)))
% 119.46/119.24 [9356]~P24(x93561,x93562,x93563,f230(f890(x93561,a881)))+E(f313(f313(f142(x93561,x93562),x93563),f313(f124(x93561,f313(f313(f10(a881,a881,x93561),a308),f313(a310,x93564))),x93565)),f313(f124(x93562,f313(f313(f10(a881,a881,x93562),a308),f313(a310,f313(x93563,x93564)))),f313(f313(f142(x93561,x93562),x93563),x93565)))
% 119.46/119.24 [9375]~P24(x93751,x93752,x93753,f313(f313(f295(x93751),x93754),f313(f160(x93751),x93755)))+E(f313(f313(f142(x93751,x93752),x93753),f313(f124(x93751,f313(f313(f10(a881,a881,x93751),a308),f313(a310,x93754))),x93755)),f313(f124(x93752,f313(f313(f10(a881,a881,x93752),a308),f313(a310,f313(x93753,x93754)))),f313(f313(f142(x93751,x93752),x93753),x93755)))
% 119.46/119.24 [9541]P1(f313(f313(f315(f889(f885(x95411),f885(x95411))),f313(f313(f240(f885(x95411),f885(x95411)),f313(f313(f139(x95411),x95412),x95413)),f313(f313(f139(x95411),x95414),x95413))),f145(x95411,x95415)))+~P1(f313(f313(f315(f889(x95411,x95411)),f313(f313(f240(x95411,x95411),x95412),x95414)),x95415))
% 119.46/119.24 [9655]E(f313(f313(f295(x96551),f502(x96552,x96553,x96554,x96555,x96551)),f503(x96552,x96553,x96554,x96555,x96551)),f313(f313(f295(x96551),x96554),x96553))+~P1(f313(f55(x96551,x96555,f313(f313(f295(x96551),x96554),x96553)),x96552))
% 119.46/119.24 [9656]E(f313(f313(f295(x96561),f504(x96562,x96563,x96564,x96565,x96561)),f505(x96562,x96563,x96564,x96565,x96561)),f313(f313(f295(x96561),x96564),x96563))+~P1(f313(f55(x96561,x96565,f313(f313(f295(x96561),x96564),x96563)),x96562))
% 119.46/119.24 [9740]P1(f313(f313(f315(x97401),f853(x97402,x97403,x97404,x97405,x97401)),x97404))+P1(f313(f313(f313(f32(x97401,f890(x97405,a881)),x97404),x97403),x97402))
% 119.46/119.24 [9745]P1(f313(f313(f315(x97451),f378(x97452,x97453,x97451,x97454,x97455)),x97453))+P1(f313(f313(f315(x97455),x97454),f313(f313(f32(x97451,f890(x97455,a881)),x97453),x97452)))
% 119.46/119.24 [9754]P1(f313(f313(f315(x97541),f838(x97542,x97543,x97541,x97544,x97545)),x97543))+P1(f313(f313(f222(f890(x97545,a881)),x97544),f313(f313(f32(x97541,f890(x97545,a881)),x97543),x97542)))
% 119.46/119.24 [9756]P1(f313(f313(x97561,f354(x97562,x97561,x97563,x97564,x97565)),x97562))+~P1(f313(f313(f313(f33(x97565,f890(x97564,a881)),x97563),x97561),x97562))
% 119.46/119.24 [9759]P1(f313(f313(f315(x97591),f354(x97592,x97593,x97594,x97595,x97591)),x97594))+~P1(f313(f313(f313(f33(x97591,f890(x97595,a881)),x97594),x97593),x97592))
% 119.46/119.24 [9760]P55(x97604,f313(f313(f32(x97601,f890(x97604,a881)),x97605),x97603),f313(f313(f32(x97601,f890(f889(x97604,x97604),a881)),x97605),x97602))+P1(f313(f313(f315(x97601),f789(x97602,x97603,x97604,x97605,x97601)),x97605))
% 119.46/119.24 [9770]P1(f313(f313(f315(x97701),f379(x97702,x97703,x97701,x97704,x97705)),x97703))+~P1(f313(f313(f315(x97705),x97704),f313(f313(f33(x97701,f890(x97705,a881)),x97703),x97702)))
% 119.46/119.24 [9775]P1(f313(f313(f315(x97751),x97752),f313(x97753,f379(x97753,x97754,x97755,x97752,x97751))))+~P1(f313(f313(f315(x97751),x97752),f313(f313(f33(x97755,f890(x97751,a881)),x97754),x97753)))
% 119.46/119.24 [9870]~P1(f313(f313(x98704,f853(x98705,x98704,x98703,x98702,x98701)),x98705))+P1(f313(f313(f313(f32(x98701,f890(x98702,a881)),x98703),x98704),x98705))
% 119.46/119.24 [9873]~P1(f313(f313(f315(x98731),x98732),f313(x98735,f378(x98735,x98734,x98733,x98732,x98731))))+P1(f313(f313(f315(x98731),x98732),f313(f313(f32(x98733,f890(x98731,a881)),x98734),x98735)))
% 119.46/119.24 [9877]~P55(x98771,f313(x98774,f789(x98775,x98774,x98771,x98773,x98772)),f313(x98775,f789(x98775,x98774,x98771,x98773,x98772)))+P55(x98771,f313(f313(f32(x98772,f890(x98771,a881)),x98773),x98774),f313(f313(f32(x98772,f890(f889(x98771,x98771),a881)),x98773),x98775))
% 119.46/119.24 [9878]~P1(f313(f313(f222(f890(x98781,a881)),x98782),f313(x98785,f838(x98785,x98784,x98783,x98782,x98781))))+P1(f313(f313(f222(f890(x98781,a881)),x98782),f313(f313(f32(x98783,f890(x98781,a881)),x98784),x98785)))
% 119.46/119.24 [9940]~P1(f313(f313(f315(x99401),f502(x99405,x99404,x99403,x99402,x99401)),f503(x99405,x99404,x99403,x99402,x99401)))+~P1(f313(f55(x99401,x99402,f313(f313(f295(x99401),x99403),x99404)),x99405))
% 119.46/119.24 [9941]~P1(f313(f313(f315(x99411),f504(x99415,x99414,x99413,x99412,x99411)),f505(x99415,x99414,x99413,x99412,x99411)))+~P1(f313(f55(x99411,x99412,f313(f313(f295(x99411),x99413),x99414)),x99415))
% 119.46/119.24 [9942]~P1(f313(f313(f315(f889(x99421,x99421)),f313(f313(f240(x99421,x99421),x99422),x99425)),f313(f313(f171(f889(x99421,x99421),a881),f313(a103,x99424)),x99423)))+P1(f313(f313(f315(f889(x99421,x99421)),f313(f313(f240(x99421,x99421),x99422),f624(x99423,x99424,x99425,x99422,x99421))),f313(f313(f171(f889(x99421,x99421),a881),x99424),x99423)))
% 119.46/119.24 [9948]P1(f313(f59(x99481,x99481,x99482,f502(x99483,x99484,x99485,x99482,x99481),f503(x99483,x99484,x99485,x99482,x99481)),x99483))+~P1(f313(f55(x99481,x99482,f313(f313(f295(x99481),x99485),x99484)),x99483))
% 119.46/119.24 [9949]P1(f313(f59(x99491,x99491,x99492,f504(x99493,x99494,x99495,x99492,x99491),f505(x99493,x99494,x99495,x99492,x99491)),x99493))+~P1(f313(f55(x99491,x99492,f313(f313(f295(x99491),x99495),x99494)),x99493))
% 119.46/119.24 [9959]~P4(x99591)+P13(x99591,f313(f313(f142(x99592,x99591),x99593),f313(f124(x99592,f313(f313(f9(x99592,x99591,a881),f313(f313(f10(x99591,f890(x99591,a881),x99592),a310),x99593)),f313(x99594,x99595))),x99595)))
% 119.46/119.24 [10012]~P1(f313(f313(f315(x100122),x100125),f313(f271(x100121,x100122,x100124),x100123)))+P1(f313(f313(f315(f889(x100121,x100122)),f313(f313(f240(x100121,x100122),f447(x100123,x100124,x100121,x100125,x100122)),x100125)),x100124))
% 119.46/119.24 [10013]~P1(f313(f313(f315(x100132),x100135),f313(f271(x100131,x100132,x100134),x100133)))+P1(f313(f313(f315(f889(x100131,x100132)),f313(f313(f240(x100131,x100132),f454(x100133,x100134,x100131,x100135,x100132)),x100135)),x100134))
% 119.46/119.24 [10033]~P1(f313(f313(f315(f889(x100331,x100331)),f313(f313(f240(x100331,x100331),x100335),x100334)),f313(f313(f171(f889(x100331,x100331),a881),f313(a103,x100333)),x100332)))+P1(f313(f313(f315(f889(x100331,x100331)),f313(f313(f240(x100331,x100331),f624(x100332,x100333,x100334,x100335,x100331)),x100334)),x100332))
% 119.46/119.24 [10036]~P1(f313(f313(f315(f889(x100361,x100361)),f313(f313(f240(x100361,x100361),x100365),x100364)),f313(f313(f171(f889(x100361,x100361),a881),f313(a103,x100363)),x100362)))+P1(f313(f313(f315(f889(x100361,x100361)),f313(f313(f240(x100361,x100361),f623(x100362,x100363,x100364,x100365,x100361)),x100364)),f313(f313(f171(f889(x100361,x100361),a881),x100363),x100362)))
% 119.46/119.24 [10037]~P1(f313(f313(f315(f889(x100371,x100371)),f313(f313(f240(x100371,x100371),x100375),x100374)),f313(f313(f171(f889(x100371,x100371),a881),f313(a103,x100373)),x100372)))+P1(f313(f313(f315(f889(x100371,x100371)),f313(f313(f240(x100371,x100371),f625(x100372,x100373,x100374,x100375,x100371)),x100374)),f313(f313(f171(f889(x100371,x100371),a881),x100373),x100372)))
% 119.46/119.24 [10038]~P1(f313(f313(f315(f889(f885(x100381),f885(x100381))),f313(f313(f240(f885(x100381),f885(x100381)),x100385),f313(f313(f139(x100381),x100384),x100383))),f146(x100381,x100382)))+P1(f313(f313(f315(f889(x100381,x100381)),f313(f313(f240(x100381,x100381),f669(x100382,x100383,x100384,x100385,x100381)),x100384)),x100382))
% 119.46/119.24 [7641]~E(x76413,f178(f890(x76412,a881)))+E(f313(f313(f92(f890(x76411,a881)),f313(f313(f33(x76412,f890(x76411,a881)),x76413),x76414)),x76415),x76415)
% 119.46/119.24 [7642]~E(x76423,f178(f890(x76422,a881)))+E(f313(f313(f93(f890(x76421,a881)),f313(f313(f32(x76422,f890(x76421,a881)),x76423),x76424)),x76425),x76425)
% 119.46/119.24 [7695]~P120(x76951)+E(f313(f313(f74(x76951),f313(f313(f74(x76951),x76952),x76953)),f313(f313(f74(x76951),x76954),x76955)),f313(f313(f74(x76951),x76954),f313(f313(f74(x76951),f313(f313(f74(x76951),x76952),x76953)),x76955)))
% 119.46/119.24 [8071]~E(x80713,f178(f890(x80712,a881)))+E(f313(f313(f3(f890(x80711,a881)),f313(f313(f32(x80712,f890(x80711,a881)),x80713),x80714)),x80715),f313(f313(f3(f890(x80711,a881)),f230(f890(x80711,a881))),x80715))
% 119.46/119.24 [8202]E(f313(f313(f147(x82021,f313(f313(f122(x82021),x82022),x82023)),x82024),x82025),f313(f313(f122(x82021),f313(f313(f147(x82021,x82022),x82024),x82025)),x82023))+~P1(f313(f313(f223(a883),x82024),f313(f179(f885(x82021)),x82022)))
% 119.46/119.24 [8203]E(f313(f313(f147(x82031,f313(f313(f122(x82031),x82032),x82033)),x82034),x82035),f313(f313(f122(x82031),f313(f313(f147(x82031,x82032),x82034),x82035)),x82033))+~P1(f313(f313(f223(a883),x82034),f313(f179(f885(x82031)),x82032)))
% 119.46/119.24 [8470]E(f313(f313(f152(x84701),f313(f313(f142(a883,x84701),x84702),f127(a883,f313(f288(a883,x84703),x84704)))),x84705),f313(x84702,f313(f313(f73(a883),x84703),x84705)))+~P1(f313(f313(f223(a883),x84705),f313(f313(f3(a883),x84704),x84703)))
% 119.46/119.24 [8484]E(x84841,f2(a90))+E(f112(x84842,x84843,f313(x84844,f313(f313(f3(a90),x84841),f71(a90))),f313(f313(f9(x84842,a90,f884(f887(x84843))),x84845),x84841)),f313(f186(x84842,x84843,x84844,x84845),x84841))
% 119.46/119.24 [8510]~E(x85103,f178(f890(x85101,a881)))+E(f313(f313(f32(x85101,f890(x85102,a881)),x85103),f313(f313(f10(f890(x85102,a881),f890(x85102,a881),x85101),f313(f3(f890(x85102,a881)),x85104)),x85105)),f230(f890(x85102,a881)))
% 119.46/119.24 [8511]~E(x85113,f178(f890(x85111,a881)))+E(f313(f313(f32(x85111,f890(x85112,a881)),x85113),f313(f313(f10(f890(x85112,a881),f890(x85112,a881),x85111),f313(f93(f890(x85112,a881)),x85114)),x85115)),f230(f890(x85112,a881)))
% 119.46/119.24 [8512]~E(x85123,f178(f890(x85121,a881)))+E(f313(f313(f33(x85121,f890(x85122,a881)),x85123),f313(f313(f10(f890(x85122,a881),f890(x85122,a881),x85121),f313(f92(f890(x85122,a881)),x85124)),x85125)),f178(f890(x85122,a881)))
% 119.46/119.24 [8514]~P146(x85142)+E(f313(f313(f8(x85141,x85142),f313(f313(f10(x85142,x85142,x85141),f313(f74(x85142),x85143)),x85144)),x85145),f313(f313(f74(x85142),x85143),f313(f313(f8(x85141,x85142),x85144),x85145)))
% 119.46/119.24 [8784]E(x87841,f178(f890(x87842,a881)))+E(f313(f313(f32(x87842,f890(x87843,a881)),x87841),f313(f313(f10(f890(x87843,a881),f890(x87843,a881),x87842),f313(f3(f890(x87843,a881)),x87844)),x87845)),f313(f313(f3(f890(x87843,a881)),x87844),f313(f313(f33(x87842,f890(x87843,a881)),x87841),x87845)))
% 119.46/119.24 [8785]E(x87851,f178(f890(x87852,a881)))+E(f313(f313(f33(x87852,f890(x87853,a881)),x87851),f313(f313(f10(f890(x87853,a881),f890(x87853,a881),x87852),f313(f92(f890(x87853,a881)),x87854)),x87855)),f313(f313(f92(f890(x87853,a881)),x87854),f313(f313(f33(x87852,f890(x87853,a881)),x87851),x87855)))
% 119.46/119.24 [8786]E(x87861,f178(f890(x87862,a881)))+E(f313(f313(f32(x87862,f890(x87863,a881)),x87861),f313(f313(f10(f890(x87863,a881),f890(x87863,a881),x87862),f313(f93(f890(x87863,a881)),x87864)),x87865)),f313(f313(f93(f890(x87863,a881)),x87864),f313(f313(f32(x87862,f890(x87863,a881)),x87861),x87865)))
% 119.46/119.24 [8787]E(x87871,f178(f890(x87872,a881)))+E(f313(f313(f32(x87872,f890(x87873,a881)),x87871),f313(f313(f10(f890(x87873,a881),f890(x87873,a881),x87872),f313(f3(f890(x87873,a881)),x87874)),x87875)),f313(f313(f3(f890(x87873,a881)),x87874),f313(f313(f33(x87872,f890(x87873,a881)),x87871),x87875)))
% 119.46/119.24 [8788]E(x87881,f178(f890(x87882,a881)))+E(f313(f313(f32(x87882,f890(x87883,a881)),x87881),f313(f313(f10(f890(x87883,a881),f890(x87883,a881),x87882),f313(f93(f890(x87883,a881)),x87884)),x87885)),f313(f313(f93(f890(x87883,a881)),x87884),f313(f313(f32(x87882,f890(x87883,a881)),x87881),x87885)))
% 119.46/119.24 [8789]E(x87891,f178(f890(x87892,a881)))+E(f313(f313(f33(x87892,f890(x87893,a881)),x87891),f313(f313(f10(f890(x87893,a881),f890(x87893,a881),x87892),f313(f92(f890(x87893,a881)),x87894)),x87895)),f313(f313(f92(f890(x87893,a881)),x87894),f313(f313(f33(x87892,f890(x87893,a881)),x87891),x87895)))
% 119.46/119.24 [8982]~P1(f313(f313(f223(a883),f313(x89824,x89822)),f313(x89824,x89823)))+P1(f313(f313(f315(f889(x89821,x89821)),f313(f313(f240(x89821,x89821),x89822),x89823)),f141(x89821,f313(f313(f139(f890(x89821,a883)),x89824),x89825))))
% 119.46/119.24 [8983]~P1(f313(f313(f223(a883),f313(x89834,x89832)),f313(x89834,x89833)))+P1(f313(f313(f315(f889(x89831,x89831)),f313(f313(f240(x89831,x89831),x89832),x89833)),f141(x89831,f313(f313(f139(f890(x89831,a883)),x89834),x89835))))
% 119.46/119.24 [9230]~P39(f890(x92305,a881),f890(x92301,a881),x92302)+P1(f313(f313(f222(f890(x92301,a881)),f313(f313(f92(f890(x92301,a881)),f313(x92302,x92303)),f313(x92302,x92304))),f313(x92302,f313(f313(f92(f890(x92305,a881)),x92303),x92304))))
% 119.46/119.24 [9248]~P24(x92482,x92481,x92483,f313(f313(f92(f890(x92482,a881)),x92484),x92485))+E(f313(f313(f93(f890(x92481,a881)),f313(f296(x92482,x92481,x92483),f313(f313(f3(f890(x92482,a881)),x92484),x92485))),f313(f296(x92482,x92481,x92483),f313(f313(f3(f890(x92482,a881)),x92485),x92484))),f178(f890(x92481,a881)))
% 119.46/119.24 [9537]~P1(f313(f313(f222(f890(x95373,a881)),f313(f271(x95371,x95373,x95374),x95372)),x95375))+P1(f313(f313(f222(f890(x95371,a881)),x95372),f313(f72(f890(x95371,a881)),f313(f271(x95373,x95371,f313(f272(x95371,x95373),x95374)),f313(f72(f890(x95373,a881)),x95375)))))
% 119.46/119.24 [9559]~P24(x95591,x95592,x95593,f313(f313(f295(x95591),x95594),x95595))+~P1(f313(f313(f315(x95592),f313(x95593,x95594)),f313(f296(x95591,x95592,x95593),f313(f313(f3(f890(x95591,a881)),x95595),f313(f313(f295(x95591),x95594),f178(f890(x95591,a881)))))))
% 119.46/119.24 [9609]P1(f313(f313(f222(f890(x96091,a881)),f313(f271(x96092,x96091,x96093),x96094)),x96095))+~P1(f313(f313(f222(f890(x96092,a881)),x96094),f313(f72(f890(x96092,a881)),f313(f271(x96091,x96092,f313(f272(x96092,x96091),x96093)),f313(f72(f890(x96091,a881)),x96095)))))
% 119.46/119.24 [9683]~P90(x96831)+P1(f313(f313(f222(x96831),f313(f69(x96831),f313(f313(f3(x96831),f313(f313(f73(x96831),x96832),x96833)),f313(f313(f73(x96831),x96834),x96835)))),f313(f313(f73(x96831),f313(f69(x96831),f313(f313(f3(x96831),x96832),x96834))),f313(f69(x96831),f313(f313(f3(x96831),x96833),x96835)))))
% 119.46/119.24 [9792]P1(f313(f313(f315(x97921),f360(x97922,x97923,x97924,x97921,x97925)),x97924))+P1(f313(f313(f222(f890(x97925,a881)),f313(f313(f33(x97921,f890(x97925,a881)),x97924),x97923)),x97922))
% 119.46/119.24 [9977]~P1(f313(f313(f222(f890(x99771,a881)),f313(x99774,f360(x99775,x99774,x99773,x99772,x99771))),x99775))+P1(f313(f313(f222(f890(x99771,a881)),f313(f313(f33(x99772,f890(x99771,a881)),x99773),x99774)),x99775))
% 119.46/119.24 [8620]E(f313(f313(f122(x86201),x86202),f313(f313(f147(x86201,x86203),f313(f313(f3(a883),x86204),f313(f179(f885(x86201)),x86202))),x86205)),f313(f313(f147(x86201,f313(f313(f122(x86201),x86202),x86203)),x86204),x86205))+P1(f313(f313(f223(a883),x86204),f313(f179(f885(x86201)),x86202)))
% 119.46/119.24 [8647]~P147(x86471)+E(f313(f313(f73(x86471),f313(f313(f74(x86471),x86472),x86473)),f313(f313(f73(x86471),f313(f313(f74(x86471),x86474),x86473)),x86475)),f313(f313(f73(x86471),f313(f313(f74(x86471),f313(f313(f73(x86471),x86472),x86474)),x86473)),x86475))
% 119.46/119.24 [9201]~P146(x92011)+E(f313(f153(x92011),f313(f313(f142(x92012,x92011),f313(f313(f10(x92011,x92011,x92012),f313(f74(x92011),x92013)),x92014)),x92015)),f313(f313(f74(x92011),x92013),f313(f153(x92011),f313(f313(f142(x92012,x92011),x92014),x92015))))
% 119.46/119.24 [9374]E(f313(f179(f885(x93741)),f313(f313(f163(x93741),f313(f313(f227(a883),f313(f179(f885(x93741)),x93742)),f313(f179(f885(x93743)),x93744))),x93742)),f313(f179(f885(x93743)),f313(f313(f163(x93743),f313(f313(f227(a883),f313(f179(f885(x93741)),x93742)),f313(f179(f885(x93743)),x93744))),x93744)))+P1(f313(x93745,f313(f313(f169(x93741,x93743),x93742),x93744)))
% 119.46/119.24 [9619]~P146(x96192)+E(f313(f313(f8(x96191,x96192),f313(f313(f9(x96191,x96192,x96192),f313(f313(f10(x96192,f890(x96192,x96192),x96191),f74(x96192)),x96193)),x96194)),x96195),f313(f313(f74(x96192),f313(f313(f8(x96191,x96192),x96193),x96195)),x96194))
% 119.46/119.24 [9620]~P71(x96202)+E(f313(f313(f8(x96201,x96202),f313(f313(f9(x96201,x96202,x96202),f313(f313(f10(x96202,f890(x96202,x96202),x96201),f277(x96202)),x96203)),x96204)),x96205),f313(f313(f277(x96202),f313(f313(f8(x96201,x96202),x96203),x96205)),x96204))
% 119.46/119.24 [9627]~P79(x96272)+E(f313(f313(f8(x96271,x96272),f313(f313(f20(x96271,x96272,x96272),f313(f313(f10(x96272,f890(x96272,x96272),x96271),f73(x96272)),x96273)),x96274)),x96275),f313(f313(f73(x96272),f313(f313(f8(x96271,x96272),x96273),x96275)),f313(f313(f8(x96271,x96272),x96274),x96275)))
% 119.46/119.24 [9628]~P65(x96282)+E(f313(f313(f8(x96281,x96282),f313(f313(f20(x96281,x96282,x96282),f313(f313(f10(x96282,f890(x96282,x96282),x96281),f3(x96282)),x96283)),x96284)),x96285),f313(f313(f3(x96282),f313(f313(f8(x96281,x96282),x96283),x96285)),f313(f313(f8(x96281,x96282),x96284),x96285)))
% 119.46/119.24 [9629]~P75(x96292)+E(f313(f313(f11(x96291,x96292),f313(f313(f20(x96291,x96292,x96292),f313(f313(f10(x96292,f890(x96292,x96292),x96291),f74(x96292)),x96293)),x96294)),x96295),f313(f313(f74(x96292),f313(f313(f11(x96291,x96292),x96293),x96295)),f313(f313(f11(x96291,x96292),x96294),x96295)))
% 119.46/119.24 [9667]~E(x96673,f178(f890(x96671,a881)))+E(f313(f313(f32(x96671,f890(x96672,a881)),x96673),f313(f313(f9(x96671,f890(x96672,a881),f890(x96672,a881)),f313(f313(f10(f890(x96672,a881),f890(f890(x96672,a881),f890(x96672,a881)),x96671),f3(f890(x96672,a881))),x96674)),x96675)),f230(f890(x96672,a881)))
% 119.46/119.24 [9668]~E(x96683,f178(f890(x96681,a881)))+E(f313(f313(f32(x96681,f890(x96682,a881)),x96683),f313(f313(f9(x96681,f890(x96682,a881),f890(x96682,a881)),f313(f313(f10(f890(x96682,a881),f890(f890(x96682,a881),f890(x96682,a881)),x96681),f93(f890(x96682,a881))),x96684)),x96685)),f230(f890(x96682,a881)))
% 119.46/119.24 [9669]~E(x96693,f178(f890(x96691,a881)))+E(f313(f313(f33(x96691,f890(x96692,a881)),x96693),f313(f313(f9(x96691,f890(x96692,a881),f890(x96692,a881)),f313(f313(f10(f890(x96692,a881),f890(f890(x96692,a881),f890(x96692,a881)),x96691),f92(f890(x96692,a881))),x96694)),x96695)),f178(f890(x96692,a881)))
% 119.46/119.24 [9690]E(x96901,f178(f890(x96902,a881)))+E(f313(f313(f32(x96902,f890(x96903,a881)),x96901),f313(f313(f9(x96902,f890(x96903,a881),f890(x96903,a881)),f313(f313(f10(f890(x96903,a881),f890(f890(x96903,a881),f890(x96903,a881)),x96902),f3(f890(x96903,a881))),x96904)),x96905)),f313(f313(f3(f890(x96903,a881)),f313(f313(f32(x96902,f890(x96903,a881)),x96901),x96904)),x96905))
% 119.46/119.24 [9691]E(x96911,f178(f890(x96912,a881)))+E(f313(f313(f33(x96912,f890(x96913,a881)),x96911),f313(f313(f9(x96912,f890(x96913,a881),f890(x96913,a881)),f313(f313(f10(f890(x96913,a881),f890(f890(x96913,a881),f890(x96913,a881)),x96912),f92(f890(x96913,a881))),x96914)),x96915)),f313(f313(f92(f890(x96913,a881)),f313(f313(f33(x96912,f890(x96913,a881)),x96911),x96914)),x96915))
% 119.46/119.24 [9692]E(x96921,f178(f890(x96922,a881)))+E(f313(f313(f32(x96922,f890(x96923,a881)),x96921),f313(f313(f9(x96922,f890(x96923,a881),f890(x96923,a881)),f313(f313(f10(f890(x96923,a881),f890(f890(x96923,a881),f890(x96923,a881)),x96922),f93(f890(x96923,a881))),x96924)),x96925)),f313(f313(f93(f890(x96923,a881)),f313(f313(f32(x96922,f890(x96923,a881)),x96921),x96924)),x96925))
% 119.46/119.24 [9693]E(x96931,f178(f890(x96932,a881)))+E(f313(f313(f32(x96932,f890(x96933,a881)),x96931),f313(f313(f9(x96932,f890(x96933,a881),f890(x96933,a881)),f313(f313(f10(f890(x96933,a881),f890(f890(x96933,a881),f890(x96933,a881)),x96932),f3(f890(x96933,a881))),x96934)),x96935)),f313(f313(f3(f890(x96933,a881)),f313(f313(f32(x96932,f890(x96933,a881)),x96931),x96934)),x96935))
% 119.46/119.24 [9694]E(x96941,f178(f890(x96942,a881)))+E(f313(f313(f32(x96942,f890(x96943,a881)),x96941),f313(f313(f9(x96942,f890(x96943,a881),f890(x96943,a881)),f313(f313(f10(f890(x96943,a881),f890(f890(x96943,a881),f890(x96943,a881)),x96942),f93(f890(x96943,a881))),x96944)),x96945)),f313(f313(f93(f890(x96943,a881)),f313(f313(f32(x96942,f890(x96943,a881)),x96941),x96944)),x96945))
% 119.46/119.24 [9695]E(x96951,f178(f890(x96952,a881)))+E(f313(f313(f33(x96952,f890(x96953,a881)),x96951),f313(f313(f9(x96952,f890(x96953,a881),f890(x96953,a881)),f313(f313(f10(f890(x96953,a881),f890(f890(x96953,a881),f890(x96953,a881)),x96952),f92(f890(x96953,a881))),x96954)),x96955)),f313(f313(f92(f890(x96953,a881)),f313(f313(f33(x96952,f890(x96953,a881)),x96951),x96954)),x96955))
% 119.46/119.24 [9253]~P1(f313(f313(f222(a883),x92531),x92534))+E(f313(f313(f3(a883),f313(f313(f73(a883),f313(f313(f74(a883),x92531),x92532)),x92533)),f313(f313(f73(a883),f313(f313(f74(a883),x92534),x92532)),x92535)),f313(f313(f3(a883),x92533),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x92534),x92531)),x92532)),x92535)))
% 119.46/119.24 [9853]~P146(x98531)+E(f313(f153(x98531),f313(f313(f142(x98532,x98531),f313(f313(f9(x98532,x98531,x98531),f313(f313(f10(x98531,f890(x98531,x98531),x98532),f74(x98531)),x98533)),x98534)),x98535)),f313(f313(f74(x98531),f313(f153(x98531),f313(f313(f142(x98532,x98531),x98533),x98535))),x98534))
% 119.46/119.24 [9859]~P79(x98591)+E(f313(f153(x98591),f313(f313(f142(x98592,x98591),f313(f313(f20(x98592,x98591,x98591),f313(f313(f10(x98591,f890(x98591,x98591),x98592),f73(x98591)),x98593)),x98594)),x98595)),f313(f313(f73(x98591),f313(f153(x98591),f313(f313(f142(x98592,x98591),x98593),x98595))),f313(f153(x98591),f313(f313(f142(x98592,x98591),x98594),x98595))))
% 119.46/119.24 [9860]~P65(x98601)+E(f313(f153(x98601),f313(f313(f142(x98602,x98601),f313(f313(f20(x98602,x98601,x98601),f313(f313(f10(x98601,f890(x98601,x98601),x98602),f3(x98601)),x98603)),x98604)),x98605)),f313(f313(f3(x98601),f313(f153(x98601),f313(f313(f142(x98602,x98601),x98603),x98605))),f313(f153(x98601),f313(f313(f142(x98602,x98601),x98604),x98605))))
% 119.46/119.24 [10004]P1(f313(x100041,f313(f313(f169(x100042,x100043),x100044),x100045)))+~P1(f313(x100041,f313(f313(f169(x100042,x100043),f313(f313(f163(x100042),f313(f313(f227(a883),f313(f179(f885(x100042)),x100044)),f313(f179(f885(x100043)),x100045))),x100044)),f313(f313(f163(x100043),f313(f313(f227(a883),f313(f179(f885(x100042)),x100044)),f313(f179(f885(x100043)),x100045))),x100045))))
% 119.46/119.24 [10257]~P1(f313(f313(f315(f889(x102572,x102571)),f313(f313(f240(x102572,x102571),x102574),x102575)),f313(f272(x102571,x102572),x102573)))+P1(f313(f313(f231(x102571,x102572,f313(f313(f9(x102571,f890(f889(x102571,x102572),a881),f890(x102572,a881)),f313(f313(f10(f890(x102572,f890(f890(f889(x102571,x102572),a881),a881)),f890(f890(f889(x102571,x102572),a881),f890(x102572,a881)),x102571),f9(x102572,f890(f889(x102571,x102572),a881),a881)),f313(f313(f10(f890(x102572,f889(x102571,x102572)),f890(x102572,f890(f890(f889(x102571,x102572),a881),a881)),x102571),f313(f10(f889(x102571,x102572),f890(f890(f889(x102571,x102572),a881),a881),x102572),f315(f889(x102571,x102572)))),f240(x102571,x102572)))),x102573)),x102574),x102575))
% 119.46/119.24 [10269]P1(f313(f313(f315(f889(x102691,x102692)),f313(f313(f240(x102691,x102692),x102693),x102694)),f313(f272(x102692,x102691),x102695)))+~P1(f313(f313(f231(x102692,x102691,f313(f313(f9(x102692,f890(f889(x102692,x102691),a881),f890(x102691,a881)),f313(f313(f10(f890(x102691,f890(f890(f889(x102692,x102691),a881),a881)),f890(f890(f889(x102692,x102691),a881),f890(x102691,a881)),x102692),f9(x102691,f890(f889(x102692,x102691),a881),a881)),f313(f313(f10(f890(x102691,f889(x102692,x102691)),f890(x102691,f890(f890(f889(x102692,x102691),a881),a881)),x102692),f313(f10(f889(x102692,x102691),f890(f890(f889(x102692,x102691),a881),a881),x102691),f315(f889(x102692,x102691)))),f240(x102692,x102691)))),x102695)),x102693),x102694))
% 119.46/119.24 [9503]~P1(f313(f313(f222(a883),x95034),x95031))+E(f313(f313(f3(a883),f313(f313(f73(a883),f313(f313(f74(a883),x95031),x95032)),x95033)),f313(f313(f73(a883),f313(f313(f74(a883),x95034),x95032)),x95035)),f313(f313(f3(a883),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x95031),x95034)),x95032)),x95033)),x95035))
% 119.46/119.24 [7326]E(x73261,x73262)+~E(f210(x73263,x73264,x73265,x73261),f210(x73263,x73264,x73266,x73262))
% 119.46/119.24 [7327]E(x73271,x73272)+~E(f210(x73273,x73274,x73271,x73275),f210(x73273,x73274,x73272,x73276))
% 119.46/119.24 [8454]~P19(x84545,x84541,x84542,x84546)+E(f313(f66(x84541,x84541,x84541,f313(x84542,x84543)),f313(x84542,x84544)),f313(f66(x84541,x84541,x84541,f313(x84542,x84544)),f313(x84542,x84543)))
% 119.46/119.24 [8687]~P59(x86874,x86875,x86872,x86871,x86876)+E(f313(x86871,f313(x86872,x86873)),x86873)
% 119.46/119.24 [8837]P24(x88371,x88372,x88373,x88374)+~P24(x88371,x88375,f313(f66(x88372,x88375,x88371,x88376),x88373),x88374)
% 119.46/119.24 [8905]~E(x89056,x89054)+E(f313(f68(x89051,x89052,x89053,x89054,x89055),x89056),x89055)
% 119.46/119.24 [8906]~E(x89066,x89064)+E(f313(f68(x89061,x89062,x89063,x89064,x89065),x89066),x89065)
% 119.46/119.24 [8911]E(x89111,x89112)+E(f313(f68(x89113,x89114,x89115,x89112,x89116),x89111),f313(x89115,x89111))
% 119.46/119.24 [8912]E(x89121,x89122)+E(f313(f68(x89123,x89124,x89125,x89122,x89126),x89121),f313(x89125,x89121))
% 119.46/119.24 [8913]E(x89131,x89132)+E(f313(f68(x89133,x89134,x89135,x89132,x89136),x89131),f313(x89135,x89131))
% 119.46/119.24 [8925]~P24(x89254,x89252,f313(f66(x89251,x89252,x89254,x89253),x89255),x89256)+P24(x89251,x89252,x89253,f313(f296(x89254,x89251,x89255),x89256))
% 119.46/119.24 [9630]P1(f313(f54(x96301),x96302))+~P1(f313(f59(x96301,x96303,x96304,x96305,x96302),x96306))
% 119.46/119.24 [9638]~P1(f313(f313(f315(x96384),x96383),f283(x96384,x96381,x96385,x96382,x96386)))+P1(f313(f313(x96381,x96382),x96383))
% 119.46/119.24 [9639]~P1(f313(f313(f315(x96394),x96393),f286(x96394,x96395,x96391,x96392,x96396)))+P1(f313(f313(x96391,x96392),x96393))
% 119.46/119.24 [9640]~P1(f313(f313(f315(x96404),x96402),f283(x96404,x96405,x96401,x96406,x96403)))+P1(f313(f313(x96401,x96402),x96403))
% 119.46/119.24 [9641]~P1(f313(f313(f315(x96414),x96412),f286(x96414,x96411,x96415,x96416,x96413)))+P1(f313(f313(x96411,x96412),x96413))
% 119.46/119.24 [5745]E(x57451,x57452)+~E(f313(f313(f240(x57453,x57454),x57455),x57451),f313(f313(f240(x57453,x57454),x57456),x57452))
% 119.46/119.24 [5746]E(x57461,x57462)+~E(f313(f313(f240(x57463,x57464),x57465),x57461),f313(f313(f240(x57463,x57464),x57466),x57462))
% 119.46/119.24 [5747]E(x57471,x57472)+~E(f313(f313(f240(x57473,x57474),x57471),x57475),f313(f313(f240(x57473,x57474),x57472),x57476))
% 119.46/119.24 [5748]E(x57481,x57482)+~E(f313(f313(f240(x57483,x57484),x57481),x57485),f313(f313(f240(x57483,x57484),x57482),x57486))
% 119.46/119.24 [5890]~P16(x58905,x58906,x58901)+E(f313(f313(x58901,x58902),f313(f313(x58901,x58903),x58904)),f313(f313(x58901,x58903),f313(f313(x58901,x58902),x58904)))
% 119.46/119.24 [7395]~P31(x73954,x73951,f313(f313(f139(x73954),x73952),x73955),f313(f313(f139(x73954),x73953),x73956))+P1(f313(f313(x73951,x73952),x73953))
% 119.46/119.24 [7760]P31(x77601,x77602,x77603,x77604)+~P31(x77601,x77602,f313(f313(f139(x77601),x77605),x77603),f313(f313(f139(x77601),x77606),x77604))
% 119.46/119.24 [8778]~P59(x87785,x87781,x87782,x87786,x87784)+P1(f313(f313(f315(x87781),f313(x87782,x87783)),x87784))
% 119.46/119.24 [8975]~E(x89753,f313(f313(f139(x89751),x89755),x89756))+P1(f313(f313(f315(f889(f885(x89751),f885(x89751))),f313(f313(f240(f885(x89751),f885(x89751)),x89752),f313(f313(f122(x89751),x89752),x89753))),f135(x89751,x89754)))
% 119.46/119.24 [9207]~P33(x92071,x92072,x92073,x92075,x92076)+P33(x92071,x92072,x92073,f313(f313(f163(x92071),x92074),x92075),f313(f313(f163(x92072),x92074),x92076))
% 119.46/119.24 [9208]~P33(x92081,x92082,x92083,x92085,x92086)+P33(x92081,x92082,x92083,f313(f313(f126(x92081),x92084),x92085),f313(f313(f126(x92082),x92084),x92086))
% 119.46/119.24 [9464]E(f313(f296(x94641,x94642,f68(x94641,x94642,x94643,x94644,x94645)),x94646),f313(f296(x94641,x94642,x94643),x94646))+P1(f313(f313(f315(x94641),x94644),x94646))
% 119.46/119.24 [9467]E(f313(f313(f142(x94671,x94672),f68(x94671,x94672,x94673,x94674,x94675)),x94676),f313(f313(f142(x94671,x94672),x94673),x94676))+P1(f313(f313(f315(x94671),x94674),f313(f160(x94671),x94676)))
% 119.46/119.24 [9705]~P23(x97054,x97052,x97055,x97053,x97056,x97051)+E(f313(x97051,f178(f890(x97052,a881))),x97053)
% 119.46/119.24 [9943]~E(f313(x99434,f313(f239(x99431,x99433),x99435)),f313(x99436,f313(f239(x99431,x99433),x99435)))+E(f313(f246(x99431,x99432,x99433,x99433,x99434,f25(x99433)),x99435),f313(f246(x99431,x99432,x99433,x99433,x99436,f25(x99433)),x99435))
% 119.46/119.24 [9944]~E(f313(x99444,f313(f244(x99441,x99442),x99445)),f313(x99446,f313(f244(x99441,x99442),x99445)))+E(f313(f246(x99441,x99441,x99442,x99443,f25(x99441),x99444),x99445),f313(f246(x99441,x99441,x99442,x99443,f25(x99441),x99446),x99445))
% 119.46/119.24 [10000]~E(f313(f246(x100002,x100006,x100003,x100003,x100001,f25(x100003)),x100004),f313(f246(x100002,x100006,x100003,x100003,x100005,f25(x100003)),x100004))+E(f313(x100001,f313(f239(x100002,x100003),x100004)),f313(x100005,f313(f239(x100002,x100003),x100004)))
% 119.46/119.24 [10001]~E(f313(f246(x100012,x100012,x100013,x100016,f25(x100012),x100011),x100014),f313(f246(x100012,x100012,x100013,x100016,f25(x100012),x100015),x100014))+E(f313(x100011,f313(f244(x100012,x100013),x100014)),f313(x100015,f313(f244(x100012,x100013),x100014)))
% 119.46/119.24 [8873]P1(f313(f313(f315(x88731),x88732),x88733))+~P1(f313(f313(f315(f889(x88731,x88734)),f313(f313(f240(x88731,x88734),x88732),x88735)),f313(f313(f242(x88731,x88734),x88733),x88736)))
% 119.46/119.24 [8874]P1(f313(f313(f315(x88741),x88742),x88743))+~P1(f313(f313(f315(f889(x88741,x88744)),f313(f313(f240(x88741,x88744),x88742),x88745)),f313(f313(f242(x88741,x88744),x88743),x88746)))
% 119.46/119.24 [8875]P1(f313(f313(f315(x88751),x88752),x88753))+~P1(f313(f313(f315(f889(x88751,x88754)),f313(f313(f240(x88751,x88754),x88752),x88755)),f313(f313(f242(x88751,x88754),x88753),x88756)))
% 119.46/119.24 [8887]P1(f313(f313(f315(x88871),x88872),f313(x88873,x88874)))+~P1(f313(f313(f315(f889(x88875,x88871)),f313(f313(f240(x88875,x88871),x88874),x88872)),f313(f313(f242(x88875,x88871),x88876),x88873)))
% 119.46/119.24 [8888]P1(f313(f313(f315(x88881),x88882),f313(x88883,x88884)))+~P1(f313(f313(f315(f889(x88885,x88881)),f313(f313(f240(x88885,x88881),x88884),x88882)),f313(f313(f242(x88885,x88881),x88886),x88883)))
% 119.46/119.24 [8889]P1(f313(f313(f315(x88891),x88892),f313(x88893,x88894)))+~P1(f313(f313(f315(f889(x88895,x88891)),f313(f313(f240(x88895,x88891),x88894),x88892)),f313(f313(f242(x88895,x88891),x88896),x88893)))
% 119.46/119.24 [9325]P1(f313(f313(f315(f889(x93251,x93251)),f313(f313(f240(x93251,x93251),f313(x93252,x93253)),f313(x93252,x93254))),x93255))+~P1(f313(f313(f315(f889(x93256,x93256)),f313(f313(f240(x93256,x93256),x93253),x93254)),f313(f313(f274(x93251,x93256),x93255),x93252)))
% 119.46/119.24 [9343]~P1(f313(f313(f315(f889(x93434,x93434)),f313(f313(f240(x93434,x93434),f313(x93436,x93432)),f313(x93436,x93433))),x93435))+P1(f313(f313(f315(f889(x93431,x93431)),f313(f313(f240(x93431,x93431),x93432),x93433)),f313(f313(f274(x93434,x93431),x93435),x93436)))
% 119.46/119.24 [10003]E(f313(f313(f240(x100031,x100032),f659(x100033,x100034,x100035,x100036,x100032,x100031)),f660(x100033,x100034,x100035,x100036,x100032,x100031)),x100036)+~P1(f313(f313(f315(f889(x100031,x100032)),x100036),f313(f313(f275(x100031,x100035,x100032),x100034),x100033)))
% 119.46/119.24 [10216]~P1(f313(f313(f315(f889(x102161,x102166)),x102165),f313(f313(f275(x102161,x102162,x102166),x102164),x102163)))+P1(f313(f313(f315(f889(x102161,x102162)),f313(f313(f240(x102161,x102162),f659(x102163,x102164,x102162,x102165,x102166,x102161)),f661(x102163,x102164,x102162,x102165,x102166,x102161))),x102164))
% 119.46/119.24 [10217]~P1(f313(f313(f315(f889(x102176,x102172)),x102175),f313(f313(f275(x102176,x102171,x102172),x102174),x102173)))+P1(f313(f313(f315(f889(x102171,x102172)),f313(f313(f240(x102171,x102172),f661(x102173,x102174,x102171,x102175,x102172,x102176)),f660(x102173,x102174,x102171,x102175,x102172,x102176))),x102173))
% 119.46/119.24 [7830]~P5(x78302)+E(f313(f313(f32(x78301,x78302),x78303),f313(f313(f9(x78301,x78304,x78302),x78305),x78306)),f313(f313(f313(f32(x78301,f890(x78304,x78302)),x78303),x78305),x78306))
% 119.46/119.24 [7831]~P5(x78312)+E(f313(f313(f33(x78311,x78312),x78313),f313(f313(f9(x78311,x78314,x78312),x78315),x78316)),f313(f313(f313(f33(x78311,f890(x78314,x78312)),x78313),x78315),x78316))
% 119.46/119.24 [8602]E(f313(f313(f32(x86021,f890(x86022,a881)),x86023),f313(f313(f10(f890(x86022,a881),f890(x86022,a881),x86021),f313(f295(x86022),x86024)),x86025)),f313(f313(f295(x86022),x86024),f313(f313(f32(x86021,f890(x86022,a881)),x86023),x86025)))+~P1(f313(f313(f315(x86021),x86026),x86023))
% 119.46/119.24 [8603]E(f313(f313(f33(x86031,f890(x86032,a881)),x86033),f313(f313(f10(f890(x86032,a881),f890(x86032,a881),x86031),f313(f295(x86032),x86034)),x86035)),f313(f313(f295(x86032),x86034),f313(f313(f33(x86031,f890(x86032,a881)),x86033),x86035)))+~P1(f313(f313(f315(x86031),x86036),x86033))
% 119.46/119.24 [9026]~P5(x90262)+E(f313(f313(f32(x90261,x90262),x90263),f313(f313(f10(f890(x90264,x90262),x90262,x90261),f313(f32(x90264,x90262),x90265)),f313(f9(x90264,x90261,x90262),x90266))),f313(f313(f32(x90264,x90262),x90265),f313(f313(f10(f890(x90261,x90262),x90262,x90264),f313(f32(x90261,x90262),x90263)),x90266)))
% 119.46/119.24 [9027]~P5(x90272)+E(f313(f313(f33(x90271,x90272),x90273),f313(f313(f10(f890(x90274,x90272),x90272,x90271),f313(f33(x90274,x90272),x90275)),f313(f9(x90274,x90271,x90272),x90276))),f313(f313(f33(x90274,x90272),x90275),f313(f313(f10(f890(x90271,x90272),x90272,x90274),f313(f33(x90271,x90272),x90273)),x90276)))
% 119.46/119.24 [9232]P1(f313(f313(f315(x92321),x92322),f313(f160(x92321),x92323)))+~P1(f313(f313(f315(f889(x92324,x92321)),f313(f313(f240(x92324,x92321),x92325),x92322)),f313(f160(f889(x92324,x92321)),f313(f313(f169(x92324,x92321),x92326),x92323))))
% 119.46/119.24 [9233]P1(f313(f313(f315(x92331),x92332),f313(f160(x92331),x92333)))+~P1(f313(f313(f315(f889(x92331,x92334)),f313(f313(f240(x92331,x92334),x92332),x92335)),f313(f160(f889(x92331,x92334)),f313(f313(f169(x92331,x92334),x92333),x92336))))
% 119.46/119.24 [9234]P1(f313(f313(f315(x92341),x92342),f313(f160(x92341),x92343)))+~P1(f313(f313(f315(f889(x92344,x92341)),f313(f313(f240(x92344,x92341),x92345),x92342)),f313(f160(f889(x92344,x92341)),f313(f313(f169(x92344,x92341),x92346),x92343))))
% 119.46/119.24 [9235]P1(f313(f313(f315(x92351),x92352),f313(f160(x92351),x92353)))+~P1(f313(f313(f315(f889(x92351,x92354)),f313(f313(f240(x92351,x92354),x92352),x92355)),f313(f160(f889(x92351,x92354)),f313(f313(f169(x92351,x92354),x92353),x92356))))
% 119.46/119.24 [9339]P1(f313(f313(f222(f890(x93391,a881)),f313(f271(x93392,x93391,x93393),x93394)),x93395))+~P1(f313(f313(f222(f890(f889(x93392,x93391),a881)),x93393),f313(f313(f242(x93392,x93391),x93396),f313(f18(f890(x93391,a881),x93392),x93395))))
% 119.46/119.24 [9540]P1(f313(f313(f315(f889(f885(x95401),f885(x95401))),f313(f313(f240(f885(x95401),f885(x95401)),f313(f313(f139(x95401),x95402),x95403)),f313(f313(f139(x95401),x95404),x95405))),f135(x95401,x95406)))+~P1(f313(f313(f315(f889(x95401,x95401)),f313(f313(f240(x95401,x95401),x95402),x95404)),x95406))
% 119.46/119.24 [9999]E(f313(f313(f240(x99991,x99992),f577(x99993,x99994,x99995,x99992,x99991,x99996)),f578(x99993,x99994,x99995,x99992,x99991,x99996)),x99996)+P1(f313(f313(f315(x99995),x99994),f313(f313(f245(x99991,x99992,f890(x99995,a881)),x99993),x99996)))
% 119.46/119.24 [10005]E(f313(f313(f240(x100051,x100052),f579(x100053,x100054,x100052,x100051,x100055,x100056)),f580(x100053,x100054,x100052,x100051,x100055,x100056)),x100053)+~P1(f313(f313(f315(x100056),x100055),f313(f313(f245(x100051,x100052,f890(x100056,a881)),x100054),x100053)))
% 119.46/119.24 [10164]P1(f313(f313(f315(x101641),x101642),f313(f313(x101643,f579(x101644,x101643,x101645,x101646,x101642,x101641)),f580(x101644,x101643,x101645,x101646,x101642,x101641))))+~P1(f313(f313(f315(x101641),x101642),f313(f313(f245(x101646,x101645,f890(x101641,a881)),x101643),x101644)))
% 119.46/119.24 [10190]~P1(f313(f313(f315(x101901),x101902),f313(f313(x101905,f577(x101905,x101902,x101901,x101904,x101903,x101906)),f578(x101905,x101902,x101901,x101904,x101903,x101906))))+P1(f313(f313(f315(x101901),x101902),f313(f313(f245(x101903,x101904,f890(x101901,a881)),x101905),x101906)))
% 119.46/119.24 [8500]E(x85001,x85002)+E(f313(f313(f147(x85003,f313(f313(f147(x85003,x85004),x85001),x85005)),x85002),x85006),f313(f313(f147(x85003,f313(f313(f147(x85003,x85004),x85002),x85006)),x85001),x85005))
% 119.46/119.24 [9594]~P1(f313(f313(f315(x95943),x95946),x95945))+E(f313(f313(f295(x95941),x95942),f313(f296(x95943,x95941,x95944),f313(f313(f3(f890(x95943,a881)),x95945),f313(f313(f295(x95943),x95946),f178(f890(x95943,a881)))))),f313(f296(x95943,x95941,f68(x95943,x95941,x95944,x95946,x95942)),x95945))
% 119.46/119.24 [9106]~P1(f313(f313(x91064,x91065),x91066))+P1(f313(f313(f313(f313(f92(f890(x91061,f890(x91062,a881))),x91063),x91064),x91065),x91066))
% 119.46/119.24 [9107]~P1(f313(f313(x91074,x91075),x91076))+P1(f313(f313(f313(f313(f92(f890(x91071,f890(x91072,a881))),x91073),x91074),x91075),x91076))
% 119.46/119.24 [9108]~P1(f313(f313(x91083,x91085),x91086))+P1(f313(f313(f313(f313(f92(f890(x91081,f890(x91082,a881))),x91083),x91084),x91085),x91086))
% 119.46/119.24 [9109]~P1(f313(f313(x91093,x91095),x91096))+P1(f313(f313(f313(f313(f92(f890(x91091,f890(x91092,a881))),x91093),x91094),x91095),x91096))
% 119.46/119.24 [9393]P1(f313(f313(x93931,x93932),x93933))+~P1(f313(f313(f313(f313(f93(f890(x93934,f890(x93935,a881))),x93936),x93931),x93932),x93933))
% 119.46/119.24 [9394]P1(f313(f313(x93941,x93942),x93943))+~P1(f313(f313(f313(f313(f93(f890(x93944,f890(x93945,a881))),x93941),x93946),x93942),x93943))
% 119.46/119.24 [9395]P1(f313(f313(x93951,x93952),x93953))+~P1(f313(f313(f313(f313(f93(f890(x93954,f890(x93955,a881))),x93956),x93951),x93952),x93953))
% 119.46/119.24 [9396]P1(f313(f313(x93961,x93962),x93963))+~P1(f313(f313(f313(f313(f93(f890(x93964,f890(x93965,a881))),x93961),x93966),x93962),x93963))
% 119.46/119.24 [9841]~P79(x98412)+E(f313(f313(f8(x98411,x98412),f313(f313(f9(x98411,f890(x98413,a881),x98412),f313(f313(f10(f890(x98413,x98412),f890(f890(x98413,a881),x98412),x98411),f8(x98413,x98412)),x98414)),x98415)),x98416),f313(f313(f8(f889(x98411,x98413),x98412),f313(f245(x98411,x98413,x98412),x98414)),f313(f313(f242(x98411,x98413),x98416),f313(f18(f890(x98413,a881),x98411),x98415))))
% 119.46/119.24 [9842]~P75(x98422)+E(f313(f313(f11(x98421,x98422),f313(f313(f9(x98421,f890(x98423,a881),x98422),f313(f313(f10(f890(x98423,x98422),f890(f890(x98423,a881),x98422),x98421),f11(x98423,x98422)),x98424)),x98425)),x98426),f313(f313(f11(f889(x98421,x98423),x98422),f313(f245(x98421,x98423,x98422),x98424)),f313(f313(f242(x98421,x98423),x98426),f313(f18(f890(x98423,a881),x98421),x98425))))
% 119.46/119.24 [9968]~P79(x99682)+E(f313(f313(f8(x99681,x99682),f313(f313(f9(x99681,f890(x99683,a881),x99682),f313(f313(f10(f890(x99683,x99682),f890(f890(x99683,a881),x99682),x99681),f8(x99683,x99682)),f313(f9(x99683,x99681,x99682),x99684))),x99685)),x99686),f313(f313(f8(x99683,x99682),f313(f313(f9(x99683,f890(x99681,a881),x99682),f313(f313(f10(f890(x99681,x99682),f890(f890(x99681,a881),x99682),x99683),f8(x99681,x99682)),x99684)),x99686)),x99685))
% 119.46/119.24 [10279]~P1(f313(f313(f315(f889(x102791,x102792)),f313(f313(f240(x102791,x102792),x102795),x102796)),f313(f313(f92(f890(f889(x102791,x102792),a881)),x102793),x102794)))+P1(f313(f313(f313(f313(f92(f890(x102791,f890(x102792,a881))),f313(f313(f9(x102791,f890(f889(x102791,x102792),a881),f890(x102792,a881)),f313(f313(f10(f890(x102792,f890(f890(f889(x102791,x102792),a881),a881)),f890(f890(f889(x102791,x102792),a881),f890(x102792,a881)),x102791),f9(x102792,f890(f889(x102791,x102792),a881),a881)),f313(f313(f10(f890(x102792,f889(x102791,x102792)),f890(x102792,f890(f890(f889(x102791,x102792),a881),a881)),x102791),f313(f10(f889(x102791,x102792),f890(f890(f889(x102791,x102792),a881),a881),x102792),f315(f889(x102791,x102792)))),f240(x102791,x102792)))),x102793)),f313(f313(f9(x102791,f890(f889(x102791,x102792),a881),f890(x102792,a881)),f313(f313(f10(f890(x102792,f890(f890(f889(x102791,x102792),a881),a881)),f890(f890(f889(x102791,x102792),a881),f890(x102792,a881)),x102791),f9(x102792,f890(f889(x102791,x102792),a881),a881)),f313(f313(f10(f890(x102792,f889(x102791,x102792)),f890(x102792,f890(f890(f889(x102791,x102792),a881),a881)),x102791),f313(f10(f889(x102791,x102792),f890(f890(f889(x102791,x102792),a881),a881),x102792),f315(f889(x102791,x102792)))),f240(x102791,x102792)))),x102794)),x102795),x102796))
% 119.46/119.24 [10280]~P1(f313(f313(f315(f889(x102801,x102802)),f313(f313(f240(x102801,x102802),x102805),x102806)),f313(f313(f93(f890(f889(x102801,x102802),a881)),x102803),x102804)))+P1(f313(f313(f313(f313(f93(f890(x102801,f890(x102802,a881))),f313(f313(f9(x102801,f890(f889(x102801,x102802),a881),f890(x102802,a881)),f313(f313(f10(f890(x102802,f890(f890(f889(x102801,x102802),a881),a881)),f890(f890(f889(x102801,x102802),a881),f890(x102802,a881)),x102801),f9(x102802,f890(f889(x102801,x102802),a881),a881)),f313(f313(f10(f890(x102802,f889(x102801,x102802)),f890(x102802,f890(f890(f889(x102801,x102802),a881),a881)),x102801),f313(f10(f889(x102801,x102802),f890(f890(f889(x102801,x102802),a881),a881),x102802),f315(f889(x102801,x102802)))),f240(x102801,x102802)))),x102803)),f313(f313(f9(x102801,f890(f889(x102801,x102802),a881),f890(x102802,a881)),f313(f313(f10(f890(x102802,f890(f890(f889(x102801,x102802),a881),a881)),f890(f890(f889(x102801,x102802),a881),f890(x102802,a881)),x102801),f9(x102802,f890(f889(x102801,x102802),a881),a881)),f313(f313(f10(f890(x102802,f889(x102801,x102802)),f890(x102802,f890(f890(f889(x102801,x102802),a881),a881)),x102801),f313(f10(f889(x102801,x102802),f890(f890(f889(x102801,x102802),a881),a881),x102802),f315(f889(x102801,x102802)))),f240(x102801,x102802)))),x102804)),x102805),x102806))
% 119.46/119.24 [10287]P1(f313(f313(f315(f889(x102871,x102872)),f313(f313(f240(x102871,x102872),x102873),x102874)),f313(f313(f92(f890(f889(x102871,x102872),a881)),x102875),x102876)))+~P1(f313(f313(f313(f313(f92(f890(x102871,f890(x102872,a881))),f313(f313(f9(x102871,f890(f889(x102871,x102872),a881),f890(x102872,a881)),f313(f313(f10(f890(x102872,f890(f890(f889(x102871,x102872),a881),a881)),f890(f890(f889(x102871,x102872),a881),f890(x102872,a881)),x102871),f9(x102872,f890(f889(x102871,x102872),a881),a881)),f313(f313(f10(f890(x102872,f889(x102871,x102872)),f890(x102872,f890(f890(f889(x102871,x102872),a881),a881)),x102871),f313(f10(f889(x102871,x102872),f890(f890(f889(x102871,x102872),a881),a881),x102872),f315(f889(x102871,x102872)))),f240(x102871,x102872)))),x102875)),f313(f313(f9(x102871,f890(f889(x102871,x102872),a881),f890(x102872,a881)),f313(f313(f10(f890(x102872,f890(f890(f889(x102871,x102872),a881),a881)),f890(f890(f889(x102871,x102872),a881),f890(x102872,a881)),x102871),f9(x102872,f890(f889(x102871,x102872),a881),a881)),f313(f313(f10(f890(x102872,f889(x102871,x102872)),f890(x102872,f890(f890(f889(x102871,x102872),a881),a881)),x102871),f313(f10(f889(x102871,x102872),f890(f890(f889(x102871,x102872),a881),a881),x102872),f315(f889(x102871,x102872)))),f240(x102871,x102872)))),x102876)),x102873),x102874))
% 119.46/119.24 [10288]P1(f313(f313(f315(f889(x102881,x102882)),f313(f313(f240(x102881,x102882),x102883),x102884)),f313(f313(f93(f890(f889(x102881,x102882),a881)),x102885),x102886)))+~P1(f313(f313(f313(f313(f93(f890(x102881,f890(x102882,a881))),f313(f313(f9(x102881,f890(f889(x102881,x102882),a881),f890(x102882,a881)),f313(f313(f10(f890(x102882,f890(f890(f889(x102881,x102882),a881),a881)),f890(f890(f889(x102881,x102882),a881),f890(x102882,a881)),x102881),f9(x102882,f890(f889(x102881,x102882),a881),a881)),f313(f313(f10(f890(x102882,f889(x102881,x102882)),f890(x102882,f890(f890(f889(x102881,x102882),a881),a881)),x102881),f313(f10(f889(x102881,x102882),f890(f890(f889(x102881,x102882),a881),a881),x102882),f315(f889(x102881,x102882)))),f240(x102881,x102882)))),x102885)),f313(f313(f9(x102881,f890(f889(x102881,x102882),a881),f890(x102882,a881)),f313(f313(f10(f890(x102882,f890(f890(f889(x102881,x102882),a881),a881)),f890(f890(f889(x102881,x102882),a881),f890(x102882,a881)),x102881),f9(x102882,f890(f889(x102881,x102882),a881),a881)),f313(f313(f10(f890(x102882,f889(x102881,x102882)),f890(x102882,f890(f890(f889(x102881,x102882),a881),a881)),x102881),f313(f10(f889(x102881,x102882),f890(f890(f889(x102881,x102882),a881),a881),x102882),f315(f889(x102881,x102882)))),f240(x102881,x102882)))),x102886)),x102883),x102884))
% 119.46/119.24 [10275]~P1(f313(f313(f315(f889(x102752,x102753)),f313(f313(f240(x102752,x102753),x102755),x102756)),f313(f313(f32(x102751,f890(f889(x102752,x102753),a881)),f230(f890(x102751,a881))),x102754)))+P1(f313(f313(f313(f313(f32(x102751,f890(x102752,f890(x102753,a881))),f230(f890(x102751,a881))),f313(f313(f10(f890(f889(x102752,x102753),a881),f890(x102752,f890(x102753,a881)),x102751),f313(f9(x102752,f890(f889(x102752,x102753),a881),f890(x102753,a881)),f313(f313(f10(f890(x102753,f890(f890(f889(x102752,x102753),a881),a881)),f890(f890(f889(x102752,x102753),a881),f890(x102753,a881)),x102752),f9(x102753,f890(f889(x102752,x102753),a881),a881)),f313(f313(f10(f890(x102753,f889(x102752,x102753)),f890(x102753,f890(f890(f889(x102752,x102753),a881),a881)),x102752),f313(f10(f889(x102752,x102753),f890(f890(f889(x102752,x102753),a881),a881),x102753),f315(f889(x102752,x102753)))),f240(x102752,x102753))))),x102754)),x102755),x102756))
% 119.46/119.24 [10276]~P1(f313(f313(f315(f889(x102762,x102763)),f313(f313(f240(x102762,x102763),x102765),x102766)),f313(f313(f33(x102761,f890(f889(x102762,x102763),a881)),f230(f890(x102761,a881))),x102764)))+P1(f313(f313(f313(f313(f33(x102761,f890(x102762,f890(x102763,a881))),f230(f890(x102761,a881))),f313(f313(f10(f890(f889(x102762,x102763),a881),f890(x102762,f890(x102763,a881)),x102761),f313(f9(x102762,f890(f889(x102762,x102763),a881),f890(x102763,a881)),f313(f313(f10(f890(x102763,f890(f890(f889(x102762,x102763),a881),a881)),f890(f890(f889(x102762,x102763),a881),f890(x102763,a881)),x102762),f9(x102763,f890(f889(x102762,x102763),a881),a881)),f313(f313(f10(f890(x102763,f889(x102762,x102763)),f890(x102763,f890(f890(f889(x102762,x102763),a881),a881)),x102762),f313(f10(f889(x102762,x102763),f890(f890(f889(x102762,x102763),a881),a881),x102763),f315(f889(x102762,x102763)))),f240(x102762,x102763))))),x102764)),x102765),x102766))
% 119.46/119.24 [10284]P1(f313(f313(f315(f889(x102841,x102842)),f313(f313(f240(x102841,x102842),x102843),x102844)),f313(f313(f32(x102845,f890(f889(x102841,x102842),a881)),f230(f890(x102845,a881))),x102846)))+~P1(f313(f313(f313(f313(f32(x102845,f890(x102841,f890(x102842,a881))),f230(f890(x102845,a881))),f313(f313(f10(f890(f889(x102841,x102842),a881),f890(x102841,f890(x102842,a881)),x102845),f313(f9(x102841,f890(f889(x102841,x102842),a881),f890(x102842,a881)),f313(f313(f10(f890(x102842,f890(f890(f889(x102841,x102842),a881),a881)),f890(f890(f889(x102841,x102842),a881),f890(x102842,a881)),x102841),f9(x102842,f890(f889(x102841,x102842),a881),a881)),f313(f313(f10(f890(x102842,f889(x102841,x102842)),f890(x102842,f890(f890(f889(x102841,x102842),a881),a881)),x102841),f313(f10(f889(x102841,x102842),f890(f890(f889(x102841,x102842),a881),a881),x102842),f315(f889(x102841,x102842)))),f240(x102841,x102842))))),x102846)),x102843),x102844))
% 119.46/119.24 [10285]P1(f313(f313(f315(f889(x102851,x102852)),f313(f313(f240(x102851,x102852),x102853),x102854)),f313(f313(f33(x102855,f890(f889(x102851,x102852),a881)),f230(f890(x102855,a881))),x102856)))+~P1(f313(f313(f313(f313(f33(x102855,f890(x102851,f890(x102852,a881))),f230(f890(x102855,a881))),f313(f313(f10(f890(f889(x102851,x102852),a881),f890(x102851,f890(x102852,a881)),x102855),f313(f9(x102851,f890(f889(x102851,x102852),a881),f890(x102852,a881)),f313(f313(f10(f890(x102852,f890(f890(f889(x102851,x102852),a881),a881)),f890(f890(f889(x102851,x102852),a881),f890(x102852,a881)),x102851),f9(x102852,f890(f889(x102851,x102852),a881),a881)),f313(f313(f10(f890(x102852,f889(x102851,x102852)),f890(x102852,f890(f890(f889(x102851,x102852),a881),a881)),x102851),f313(f10(f889(x102851,x102852),f890(f890(f889(x102851,x102852),a881),a881),x102852),f315(f889(x102851,x102852)))),f240(x102851,x102852))))),x102856)),x102853),x102854))
% 119.46/119.24 [7503]E(f313(x75031,f313(x75032,x75033)),f313(x75034,x75033))+~E(f313(f66(x75035,x75036,x75037,x75031),x75032),x75034)
% 119.46/119.24 [9610]E(x96101,x96102)+E(f68(x96103,x96104,f68(x96103,x96104,x96105,x96101,x96106),x96102,x96107),f68(x96103,x96104,f68(x96103,x96104,x96105,x96102,x96107),x96101,x96106))
% 119.46/119.24 [9704]~P22(x97043,x97044,x97041,x97045,x97046,x97047)+E(f313(f313(x97041,x97042),x97042),x97042)
% 119.46/119.24 [5997]~E(f313(f313(f142(x59971,x59975),x59976),x59972),f313(f313(f142(x59973,x59975),x59977),x59974))+E(f313(f179(f885(x59971)),x59972),f313(f179(f885(x59973)),x59974))
% 119.46/119.24 [8533]E(f313(x85331,f313(x85332,x85333)),f313(x85334,x85333))+~E(f313(f66(x85335,x85336,x85337,x85331),x85332),f313(f66(x85336,x85336,x85337,f25(x85336)),x85334))
% 119.46/119.24 [8864]~P33(x88644,x88645,x88641,f313(f313(f139(x88644),x88642),x88646),f313(f313(f139(x88645),x88643),x88647))+P1(f313(f313(x88641,x88642),x88643))
% 119.46/119.24 [9241]P33(x92411,x92412,x92413,x92414,x92415)+~P33(x92411,x92412,x92413,f313(f313(f139(x92411),x92416),x92414),f313(f313(f139(x92412),x92417),x92415))
% 119.46/119.24 [9874]P1(f313(f313(x98741,x98742),f550(x98743,x98742,x98744,x98741)))+~P1(f313(f313(f241(x98745,x98746,x98747,x98741,x98744),x98742),x98743))
% 119.46/119.24 [9896]P1(f313(f313(x98961,f550(x98962,x98963,x98961,x98964)),x98962))+~P1(f313(f313(f241(x98965,x98966,x98967,x98964,x98961),x98963),x98962))
% 119.46/119.24 [8981]~P20(x89816,x89811,x89813,x89817)+E(f313(f66(x89811,x89811,x89812,f313(x89813,x89814)),f313(f66(x89811,x89811,x89812,f313(x89813,x89814)),x89815)),f313(f66(x89811,x89811,x89812,f313(x89813,x89814)),x89815))
% 119.46/119.24 [9346]~P33(x93463,x93462,x93464,f313(f313(f142(x93461,x93463),x93465),x93466),x93467)+P33(x93461,x93462,f313(f313(f10(x93463,f890(x93462,a881),x93461),x93464),x93465),x93466,x93467)
% 119.46/119.24 [9371]P33(x93711,x93712,x93713,f313(f313(f142(x93714,x93711),x93715),x93716),x93717)+~P33(x93714,x93712,f313(f313(f10(x93711,f890(x93712,a881),x93714),x93713),x93715),x93716,x93717)
% 119.46/119.24 [8980]~P1(f313(f313(f315(x89801),x89802),f313(f313(x89805,x89806),x89807)))+P1(f313(f313(f315(x89801),x89802),f313(f313(f245(x89803,x89804,f890(x89801,a881)),x89805),f313(f313(f240(x89803,x89804),x89806),x89807))))
% 119.46/119.24 [9265]P1(f313(f313(f313(x92651,x92652),x92653),x92654))+~P1(f313(f313(f313(f245(x92655,x92656,f890(x92657,a881)),x92651),f313(f313(f240(x92655,x92656),x92652),x92653)),x92654))
% 119.46/119.24 [9409]P1(f313(f313(f315(x94091),f313(f313(x94092,x94093),x94094)),f313(f296(f889(x94095,x94096),x94091,f313(f245(x94095,x94096,x94091),x94092)),x94097)))+~P1(f313(f313(f315(f889(x94095,x94096)),f313(f313(f240(x94095,x94096),x94093),x94094)),x94097))
% 119.46/119.24 [9752]P1(f313(f313(f315(f889(f885(x97521),f885(x97521))),f313(f313(f240(f885(x97521),f885(x97521)),f313(f313(f122(x97521),x97522),f313(f313(f139(x97521),x97523),x97524))),f313(f313(f122(x97521),x97522),f313(f313(f139(x97521),x97525),x97526)))),f135(x97521,x97527)))+~P1(f313(f313(f315(f889(x97521,x97521)),f313(f313(f240(x97521,x97521),x97523),x97525)),x97527))
% 119.46/119.24 [9822]~P33(x98221,x98223,x98224,x98226,f313(f313(f142(x98222,x98223),x98225),x98227))+P33(x98221,x98222,f313(f313(f9(x98221,f890(x98222,x98223),f890(x98222,a881)),f313(f313(f10(f890(x98223,a881),f890(f890(x98222,x98223),f890(x98222,a881)),x98221),f10(x98223,a881,x98222)),x98224)),x98225),x98226,x98227)
% 119.46/119.24 [9900]P33(x99001,x99002,x99003,x99004,f313(f313(f142(x99005,x99002),x99006),x99007))+~P33(x99001,x99005,f313(f313(f9(x99001,f890(x99005,x99002),f890(x99005,a881)),f313(f313(f10(f890(x99002,a881),f890(f890(x99005,x99002),f890(x99005,a881)),x99001),f10(x99002,a881,x99005)),x99003)),x99006),x99004,x99007)
% 119.46/119.24 [10203]P1(f313(f313(f315(x102031),f385(x102032,x102033,x102034,x102035,x102036,x102037,x102031)),x102035))+P1(f313(f313(f313(f313(f32(x102031,f890(x102037,f890(x102036,a881))),x102035),x102034),x102033),x102032))
% 119.46/119.24 [10204]P1(f313(f313(f315(x102041),f800(x102042,x102043,x102044,x102045,x102046,x102047,x102041)),x102047))+P1(f313(f313(f313(f313(f32(x102041,f890(x102043,f890(x102042,a881))),x102047),x102046),x102045),x102044))
% 119.46/119.24 [10205]P1(f313(f313(f315(x102051),f386(x102052,x102053,x102054,x102055,x102056,x102057,x102051)),x102055))+~P1(f313(f313(f313(f313(f33(x102051,f890(x102057,f890(x102056,a881))),x102055),x102054),x102053),x102052))
% 119.46/119.24 [10206]P1(f313(f313(f315(x102061),f801(x102062,x102063,x102064,x102065,x102066,x102067,x102061)),x102065))+~P1(f313(f313(f313(f313(f33(x102061,f890(x102067,f890(x102066,a881))),x102065),x102064),x102063),x102062))
% 119.46/119.24 [10238]P1(f313(f313(f313(x102381,f386(x102382,x102383,x102381,x102384,x102385,x102386,x102387)),x102383),x102382))+~P1(f313(f313(f313(f313(f33(x102387,f890(x102386,f890(x102385,a881))),x102384),x102381),x102383),x102382))
% 119.46/119.24 [10239]P1(f313(f313(f313(x102391,f801(x102392,x102393,x102391,x102394,x102395,x102396,x102397)),x102393),x102392))+~P1(f313(f313(f313(f313(f33(x102397,f890(x102396,f890(x102395,a881))),x102394),x102391),x102393),x102392))
% 119.46/119.24 [10254]~P1(f313(f313(f313(x102545,f385(x102547,x102546,x102545,x102544,x102543,x102542,x102541)),x102546),x102547))+P1(f313(f313(f313(f313(f32(x102541,f890(x102542,f890(x102543,a881))),x102544),x102545),x102546),x102547))
% 119.46/119.24 [10255]~P1(f313(f313(f313(x102555,f800(x102553,x102552,x102557,x102556,x102555,x102554,x102551)),x102556),x102557))+P1(f313(f313(f313(f313(f32(x102551,f890(x102552,f890(x102553,a881))),x102554),x102555),x102556),x102557))
% 119.46/119.24 [10274]~P1(f313(f313(f315(f889(x102741,x102743)),f313(f313(f240(x102741,x102743),x102746),x102747)),f313(f313(f275(x102741,x102742,x102743),x102744),x102745)))+P1(f313(f313(f241(x102741,x102742,x102743,f313(f313(f9(x102741,f890(f889(x102741,x102742),a881),f890(x102742,a881)),f313(f313(f10(f890(x102742,f890(f890(f889(x102741,x102742),a881),a881)),f890(f890(f889(x102741,x102742),a881),f890(x102742,a881)),x102741),f9(x102742,f890(f889(x102741,x102742),a881),a881)),f313(f313(f10(f890(x102742,f889(x102741,x102742)),f890(x102742,f890(f890(f889(x102741,x102742),a881),a881)),x102741),f313(f10(f889(x102741,x102742),f890(f890(f889(x102741,x102742),a881),a881),x102742),f315(f889(x102741,x102742)))),f240(x102741,x102742)))),x102744),f313(f313(f9(x102742,f890(f889(x102742,x102743),a881),f890(x102743,a881)),f313(f313(f10(f890(x102743,f890(f890(f889(x102742,x102743),a881),a881)),f890(f890(f889(x102742,x102743),a881),f890(x102743,a881)),x102742),f9(x102743,f890(f889(x102742,x102743),a881),a881)),f313(f313(f10(f890(x102743,f889(x102742,x102743)),f890(x102743,f890(f890(f889(x102742,x102743),a881),a881)),x102742),f313(f10(f889(x102742,x102743),f890(f890(f889(x102742,x102743),a881),a881),x102743),f315(f889(x102742,x102743)))),f240(x102742,x102743)))),x102745)),x102746),x102747))
% 119.46/119.24 [10283]P1(f313(f313(f315(f889(x102831,x102832)),f313(f313(f240(x102831,x102832),x102833),x102834)),f313(f313(f275(x102831,x102835,x102832),x102836),x102837)))+~P1(f313(f313(f241(x102831,x102835,x102832,f313(f313(f9(x102831,f890(f889(x102831,x102835),a881),f890(x102835,a881)),f313(f313(f10(f890(x102835,f890(f890(f889(x102831,x102835),a881),a881)),f890(f890(f889(x102831,x102835),a881),f890(x102835,a881)),x102831),f9(x102835,f890(f889(x102831,x102835),a881),a881)),f313(f313(f10(f890(x102835,f889(x102831,x102835)),f890(x102835,f890(f890(f889(x102831,x102835),a881),a881)),x102831),f313(f10(f889(x102831,x102835),f890(f890(f889(x102831,x102835),a881),a881),x102835),f315(f889(x102831,x102835)))),f240(x102831,x102835)))),x102836),f313(f313(f9(x102835,f890(f889(x102835,x102832),a881),f890(x102832,a881)),f313(f313(f10(f890(x102832,f890(f890(f889(x102835,x102832),a881),a881)),f890(f890(f889(x102835,x102832),a881),f890(x102832,a881)),x102835),f9(x102832,f890(f889(x102835,x102832),a881),a881)),f313(f313(f10(f890(x102832,f889(x102835,x102832)),f890(x102832,f890(f890(f889(x102835,x102832),a881),a881)),x102835),f313(f10(f889(x102835,x102832),f890(f890(f889(x102835,x102832),a881),a881),x102832),f315(f889(x102835,x102832)))),f240(x102835,x102832)))),x102837)),x102833),x102834))
% 119.46/119.24 [10215]~P146(x102152)+E(f313(f313(f8(x102151,x102152),f313(f313(f9(x102151,f890(x102153,a881),x102152),f313(f313(f10(f890(x102153,x102152),f890(f890(x102153,a881),x102152),x102151),f8(x102153,x102152)),f313(f313(f9(x102151,f890(x102153,x102152),f890(x102153,x102152)),f313(f313(f10(f890(x102152,x102152),f890(f890(x102153,x102152),f890(x102153,x102152)),x102151),f10(x102152,x102152,x102153)),f313(f313(f10(x102152,f890(x102152,x102152),x102151),f74(x102152)),x102154))),x102155))),x102156)),x102157),f313(f313(f74(x102152),f313(f313(f8(x102151,x102152),x102154),x102157)),f313(f313(f8(x102153,x102152),x102155),x102156)))
% 119.46/119.24 [9297]~P19(x92977,x92971,x92973,x92978)+E(f313(f66(x92971,x92971,x92972,f313(x92973,x92974)),f313(f66(x92971,x92971,x92972,f313(x92973,x92975)),x92976)),f313(f66(x92971,x92971,x92972,f313(x92973,x92975)),f313(f66(x92971,x92971,x92972,f313(x92973,x92974)),x92976)))
% 119.46/119.24 [10277]E(f313(f313(f240(x102771,x102772),f313(x102773,f527(x102774,x102775,x102773,x102776,x102777,x102778,x102772,x102771))),f313(x102775,f528(x102774,x102775,x102773,x102776,x102777,x102778,x102772,x102771))),x102778)+~P1(f313(f313(f315(f889(x102771,x102772)),x102778),f313(f296(f889(x102777,x102776),f889(x102771,x102772),f246(x102777,x102771,x102776,x102772,x102773,x102775)),x102774)))
% 119.46/119.24 [10292]~P1(f313(f313(f315(f889(x102928,x102927)),x102926),f313(f296(f889(x102921,x102922),f889(x102928,x102927),f246(x102921,x102928,x102922,x102927,x102925,x102924)),x102923)))+P1(f313(f313(f315(f889(x102921,x102922)),f313(f313(f240(x102921,x102922),f527(x102923,x102924,x102925,x102922,x102921,x102926,x102927,x102928)),f528(x102923,x102924,x102925,x102922,x102921,x102926,x102927,x102928))),x102923))
% 119.46/119.24 [9741]P1(f313(f313(f315(f889(f889(x97411,x97412),f889(x97411,x97412))),f313(f313(f240(f889(x97411,x97412),f889(x97411,x97412)),f313(f313(f240(x97411,x97412),x97413),x97414)),f313(f313(f240(x97411,x97412),x97415),x97416))),f305(x97411,x97412,x97417,x97418)))+~P1(f313(f313(f315(f889(x97411,x97411)),f313(f313(f240(x97411,x97411),x97413),x97415)),x97417))
% 119.46/119.24 [10268]E(f313(f130(x102681,x102682,f313(f9(x102682,x102681,x102681),x102683),f313(x102684,x102685)),x102686),f313(x102684,f313(f130(x102687,x102682,f313(f9(x102682,x102687,x102687),x102688),x102685),x102686)))+P1(f313(f313(f315(x102682),f747(x102685,x102688,x102684,x102683,x102687,x102681,x102686,x102682)),f313(f160(x102682),x102686)))
% 119.46/119.24 [10286]~E(f313(f66(x102861,x102861,x102867,f313(x102863,f747(x102865,x102868,x102864,x102863,x102867,x102861,x102866,x102862))),x102864),f313(f66(x102867,x102861,x102867,x102864),f313(x102868,f747(x102865,x102868,x102864,x102863,x102867,x102861,x102866,x102862))))+E(f313(f130(x102861,x102862,f313(f9(x102862,x102861,x102861),x102863),f313(x102864,x102865)),x102866),f313(x102864,f313(f130(x102867,x102862,f313(f9(x102862,x102867,x102867),x102868),x102865),x102866)))
% 119.46/119.24 [8537]E(f313(x85371,f313(x85372,x85373)),f313(x85374,f313(x85375,x85373)))+~E(f313(f66(x85376,x85377,x85378,x85371),x85372),f313(f66(x85379,x85377,x85378,x85374),x85375))
% 119.46/119.24 [8538]E(f313(x85381,f313(x85382,x85383)),f313(x85384,f313(x85385,x85383)))+~E(f313(f66(x85386,x85387,x85388,x85381),x85382),f313(f66(x85389,x85387,x85388,x85384),x85385))
% 119.46/119.24 [10133]P1(f313(f313(f315(f889(x101331,x101332)),f313(f313(f240(x101331,x101332),f313(x101333,x101334)),f313(x101335,x101336))),f313(f296(f889(x101337,x101338),f889(x101331,x101332),f246(x101337,x101331,x101338,x101332,x101333,x101335)),x101339)))+~P1(f313(f313(f315(f889(x101337,x101338)),f313(f313(f240(x101337,x101338),x101334),x101336)),x101339))
% 119.46/119.25 [8812]~E(f313(x88124,f313(x88125,x88126)),f313(x88129,f313(x881210,x881211)))+E(f313(f313(f66(x88121,x88122,x88123,x88124),x88125),x88126),f313(f313(f66(x88127,x88122,x88128,x88129),x881210),x881211))
% 119.46/119.25 [9381]~P19(x93818,x93819,x938110,x938111)+E(f313(f66(x93811,x93812,x93813,x93814),f313(f66(x93815,x93811,x93813,x93816),x93817)),f313(f66(x93815,x93812,x93813,f313(f66(x93811,x93812,x93815,x93814),x93816)),x93817))
% 119.46/119.25 [4543]~P4(x45431)+~P102(x45431)+E(f177(x45431),f92(x45431))
% 119.46/119.25 [4544]~P4(x45441)+~P108(x45441)+E(f227(x45441),f93(x45441))
% 119.46/119.25 [4789]~P115(x47891)+~P98(x47891)+E(f313(f69(x47891),f313(f95(x47891),a88)),f71(x47891))
% 119.46/119.25 [5088]E(x50881,f2(a1))+E(f75(a1,x50881),f313(f72(a1),f71(a1)))+P1(f313(f313(f223(a1),f2(a1)),x50881))
% 119.46/119.25 [5298]E(x52981,f2(a1))+E(f75(a1,x52981),f71(a1))+~P1(f313(f313(f223(a1),f2(a1)),x52981))
% 119.46/119.25 [6668]~P40(x66681)+~P1(f313(f54(a1),x66681))+P1(f313(f54(a883),f313(f296(a1,a883,a96),x66681)))
% 119.46/119.25 [7052]E(f40(f71(a1),f313(f95(a1),x70521)),f313(f313(f240(a1,a1),f2(a1)),f71(a1)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x70521)))+~P1(f313(f313(f223(a1),f71(a1)),f313(f95(a1),x70521)))
% 119.46/119.25 [7400]~P40(x74001)+P1(f313(f54(a1),x74001))+~P1(f313(f54(a883),f313(f296(a1,a883,a96),x74001)))
% 119.46/119.25 [8244]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),f71(a1)),f313(f95(a1),x82441))),f43(f71(a1),f313(f95(a1),x82441)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x82441)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f71(a1)),f313(f95(a1),x82441))))
% 119.46/119.25 [10022]E(f313(f36(f313(f95(a1),x100221)),f40(f71(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f95(a1),x100221)))),f40(f71(a1),f313(f95(a1),x100221)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x100221)))+P1(f313(f313(f223(a1),f71(a1)),f313(f95(a1),x100221)))
% 119.46/119.25 [10028]E(f313(f36(f313(f95(a1),x100281)),f43(f71(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f95(a1),x100281)))),f43(f71(a1),f313(f95(a1),x100281)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x100281)))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f71(a1)),f313(f95(a1),x100281))))
% 119.46/119.25 [9703]E(x97031,f178(f890(f889(a883,a883),a881)))+~P1(f313(f54(f889(a883,a883)),x97031))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),f178(f890(f889(a883,a883),a881))),x97031)),a27))
% 119.46/119.25 [9875]E(x98751,f2(a883))+E(x98751,f313(a103,f2(a883)))+~P1(f313(f313(f223(a883),x98751),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.25 [10159]E(x101591,f2(a90))+E(f313(f313(f73(a1),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(a24,f313(f313(f29(a90),x101591),f313(f95(a90),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))),f71(a1)),f313(a24,x101591))+E(f38(a90,x101591,f313(f95(a90),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f2(a90))
% 119.46/119.25 [10009]E(x100091,f2(a90))+~E(f38(a90,x100091,f313(f95(a90),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f2(a90))+E(f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(a24,f313(f313(f29(a90),x100091),f313(f95(a90),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f313(a24,x100091))
% 119.46/119.25 [4624]~P60(x46241,x46242)+P43(x46241,x46242)+~P44(a881)
% 119.46/119.25 [4553]~P2(x45531)+P28(x45531,x45532)+~E(x45532,f2(x45531))
% 119.46/119.25 [4554]~P4(x45541)+P13(x45541,x45542)+~E(x45542,f104(x45541))
% 119.46/119.25 [4563]~P115(x45631)+~E(x45632,f2(x45631))+E(f75(x45631,x45632),f2(x45631))
% 119.46/119.25 [4564]~P92(x45641)+~E(x45642,f2(x45641))+E(f75(x45641,x45642),f2(x45641))
% 119.46/119.25 [4572]~P2(x45722)+~P28(x45722,x45721)+E(x45721,f2(x45722))
% 119.46/119.25 [4617]~P115(x46172)+~E(f75(x46172,x46171),f2(x46172))+E(x46171,f2(x46172))
% 119.46/119.25 [4631]~P6(x46312)+~P6(x46311)+P6(f184(x46311,x46312))
% 119.46/119.25 [4632]~P68(x46322)+~P68(x46321)+P68(f890(x46321,x46322))
% 119.46/119.25 [4633]~P68(x46332)+~P68(x46331)+P68(f889(x46331,x46332))
% 119.46/119.25 [4634]~P68(x46342)+~P68(x46341)+P68(f891(x46341,x46342))
% 119.46/119.25 [4635]~P69(x46352)+~P69(x46351)+P69(f890(x46351,x46352))
% 119.46/119.25 [4636]~P69(x46362)+~P69(x46361)+P69(f889(x46361,x46362))
% 119.46/119.25 [4637]~P69(x46372)+~P69(x46371)+P69(f891(x46371,x46372))
% 119.46/119.25 [4638]~P109(x46382)+~P109(x46381)+P109(f889(x46381,x46382))
% 119.46/119.25 [4761]~P4(x47611)+~P13(x47611,x47612)+P13(x47611,f140(x47611,x47612))
% 119.46/119.25 [5010]~P6(x50102)+~P6(x50101)+P6(f38(a1,x50101,x50102))
% 119.46/119.25 [4573]~P82(x45731)+~E(x45732,f2(x45731))+E(f313(f72(x45731),x45732),x45732)
% 119.46/119.25 [4574]~P82(x45741)+~E(x45742,f2(x45741))+E(f313(f72(x45741),x45742),x45742)
% 119.46/119.25 [4588]~P97(x45881)+~E(x45882,f2(a1))+E(f313(f94(x45881),x45882),f2(x45881))
% 119.46/119.25 [4589]~P97(x45891)+~E(x45892,f2(a1))+E(f313(f94(x45891),x45892),f2(x45891))
% 119.46/119.25 [4590]~P144(x45901)+~E(x45902,f2(a1))+E(f313(f94(x45901),x45902),f2(x45901))
% 119.46/119.25 [4614]~P81(x46141)+~E(f2(x46141),x46142)+E(f313(f72(x46141),x46142),f2(x46141))
% 119.46/119.25 [4615]~P81(x46151)+~E(x46152,f2(x46151))+E(f313(f72(x46151),x46152),f2(x46151))
% 119.46/119.25 [4616]~P90(x46161)+~E(x46162,f2(x46161))+E(f313(f69(x46161),x46162),f2(x46161))
% 119.46/119.25 [4639]~P82(x46392)+E(x46391,f2(x46392))+~E(f313(f72(x46392),x46391),x46391)
% 119.46/119.25 [4640]~P82(x46402)+E(x46401,f2(x46402))+~E(f313(f72(x46402),x46401),x46401)
% 119.46/119.25 [4642]E(x46421,f313(a96,x46422))+~E(x46421,f2(a883))+~E(x46422,f313(f91(a1),x46421))
% 119.46/119.25 [4643]E(f313(a96,x46431),x46432)+~E(x46432,f2(a883))+~E(x46431,f313(f91(a1),x46432))
% 119.46/119.25 [4646]~P97(x46462)+E(x46461,f2(a1))+~E(f313(f94(x46462),x46461),f2(x46462))
% 119.46/119.25 [4647]~P97(x46472)+E(x46471,f2(a1))+~E(f313(f94(x46472),x46471),f2(x46472))
% 119.46/119.25 [4651]~P81(x46512)+E(x46511,f2(x46512))+~E(f313(f72(x46512),x46511),f2(x46512))
% 119.46/119.25 [4652]~P90(x46522)+E(x46521,f2(x46522))+~E(f313(f69(x46522),x46521),f2(x46522))
% 119.46/119.25 [4653]~P81(x46531)+E(f2(x46531),x46532)+~E(f313(f72(x46531),x46532),f2(x46531))
% 119.46/119.25 [4836]~P4(x48361)+~P13(x48361,x48362)+P13(x48361,f313(f159(x48361),x48362))
% 119.46/119.25 [4863]~P1(x48632)+~P1(x48631)+P1(f313(f313(a311,x48631),x48632))
% 119.46/119.25 [4901]~E(f71(a883),f2(a883))+E(f313(f28(x49011),x49012),f2(a883))+~P1(f313(f54(x49011),x49012))
% 119.46/119.25 [4938]~P116(x49381)+~P146(x49381)+E(f313(f313(f232(x49381),f2(x49381)),f313(a103,x49382)),f2(x49381))
% 119.46/119.25 [4978]~P4(x49781)+P13(x49781,f127(x49781,x49782))+~P1(f313(f54(x49781),x49782))
% 119.46/119.25 [4979]~P4(x49791)+P13(x49791,f739(x49792,x49791))+~P1(f313(f54(x49791),x49792))
% 119.46/119.25 [5002]~P4(x50021)+E(f313(f160(x50021),f127(x50021,x50022)),x50022)+~P1(f313(f54(x50021),x50022))
% 119.46/119.25 [5003]~P4(x50031)+E(f313(f160(x50031),f739(x50032,x50031)),x50032)+~P1(f313(f54(x50031),x50032))
% 119.46/119.25 [5032]P1(x50321)+P1(x50322)+~P1(f313(f313(a312,x50322),x50321))
% 119.46/119.25 [5045]E(x50451,f178(f890(x50452,a881)))+~E(f313(f28(x50452),x50451),f2(a883))+~P1(f313(f54(x50452),x50451))
% 119.46/119.25 [5050]P1(x50501)+~P1(x50502)+~P1(f313(f313(a316,x50502),x50501))
% 119.46/119.25 [5107]~P78(x51071)+E(f313(f69(x51071),x51072),x51072)+P1(f313(f313(f223(x51071),x51072),f2(x51071)))
% 119.46/119.25 [5108]~P5(x51082)+~P39(x51082,x51082,x51081)+E(f313(x51081,f87(x51082,x51081)),f87(x51082,x51081))
% 119.46/119.25 [5109]~P5(x51092)+~P39(x51092,x51092,x51091)+E(f313(x51091,f86(x51092,x51091)),f86(x51092,x51091))
% 119.46/119.25 [5170]~P69(x51702)+~P1(f313(f49(x51702),x51701))+P1(f313(x51701,f740(x51701,x51702)))
% 119.46/119.25 [5171]~P69(x51712)+~P1(f313(f49(x51712),x51711))+P1(f313(x51711,f748(x51711,x51712)))
% 119.46/119.25 [5212]E(x52121,f104(x52122))+P1(f313(f125(x52122),f105(x52122,x52121)))+~P1(f313(f125(x52122),x52121))
% 119.46/119.25 [5217]~P4(x52171)+~P1(f313(f54(x52171),x52172))+P1(f313(f125(x52171),f127(x52171,x52172)))
% 119.46/119.25 [5218]~P4(x52181)+~P1(f313(f54(x52181),x52182))+P1(f313(f125(x52181),f739(x52182,x52181)))
% 119.46/119.25 [5223]~P144(x52231)+E(f313(f91(x52231),f313(a96,x52232)),f313(f94(x52231),x52232))+P1(f313(f313(f223(a1),x52232),f2(a1)))
% 119.46/119.25 [5244]P7(x52442,x52441)+E(f313(x52441,f462(x52441)),f313(x52441,f496(x52441)))+P1(f313(f313(x52441,f462(x52441)),f496(x52441)))
% 119.46/119.25 [5259]E(f313(f91(a1),f463(x52591,x52592)),x52591)+P1(f313(x52592,f313(a96,x52591)))+~P1(f313(x52592,f2(a883)))
% 119.46/119.25 [5272]~P69(x52721)+~P1(f313(x52722,f756(x52722,x52721)))+P1(f313(f50(x52721),x52722))
% 119.46/119.25 [5273]~P69(x52731)+~P1(f313(x52732,f768(x52732,x52731)))+P1(f313(f50(x52731),x52732))
% 119.46/119.25 [5309]~P115(x53091)+~E(f75(x53091,x53092),f313(f72(x53091),f71(x53091)))+P1(f313(f313(f223(x53091),x53092),f2(x53091)))
% 119.46/119.25 [5384]~E(x53842,f2(a1))+E(f205(x53841,x53842),f313(f313(f240(a1,a1),f2(a1)),f71(a1)))+P1(f313(f313(f223(a1),x53842),f2(a1)))
% 119.46/119.25 [5385]~E(x53851,f2(a1))+E(f205(x53851,x53852),f313(f313(f240(a1,a1),f2(a1)),f71(a1)))+P1(f313(f313(f223(a1),x53852),f2(a1)))
% 119.46/119.25 [5436]E(f313(f91(a1),f463(x54361,x54362)),x54361)+P1(f313(x54362,f313(a96,x54361)))+P1(f313(f313(f223(a1),x54361),f2(a1)))
% 119.46/119.25 [5503]~P115(x55031)+E(f75(x55031,x55032),f313(f72(x55031),f71(x55031)))+~P1(f313(f313(f223(x55031),x55032),f2(x55031)))
% 119.46/119.25 [5504]~P115(x55041)+E(f75(x55041,x55042),f313(f72(x55041),f71(x55041)))+~P1(f313(f313(f223(x55041),x55042),f2(x55041)))
% 119.46/119.25 [5505]~P90(x55051)+E(f313(f69(x55051),x55052),f313(f72(x55051),x55052))+~P1(f313(f313(f222(x55051),x55052),f2(x55051)))
% 119.46/119.25 [5506]~P90(x55061)+E(f313(f69(x55061),x55062),f313(f72(x55061),x55062))+~P1(f313(f313(f223(x55061),x55062),f2(x55061)))
% 119.46/119.25 [5507]~P78(x55071)+E(f313(f69(x55071),x55072),f313(f72(x55071),x55072))+~P1(f313(f313(f223(x55071),x55072),f2(x55071)))
% 119.46/119.25 [5607]~P1(f313(x56071,f463(x56072,x56071)))+P1(f313(x56071,f313(a96,x56072)))+~P1(f313(x56071,f2(a883)))
% 119.46/119.25 [5614]E(x56141,f2(a883))+E(f313(a103,f823(x56142,x56141)),x56141)+~P1(f313(f313(f223(a883),x56141),f313(a103,x56142)))
% 119.46/119.25 [5618]P7(x56181,x56182)+~E(f313(x56182,f462(x56182)),f313(x56182,f496(x56182)))+~P1(f313(f313(x56182,f462(x56182)),f496(x56182)))
% 119.46/119.25 [5637]~P4(x56371)+P13(x56371,x56372)+P1(f313(f313(f222(a883),f723(x56372,x56371)),f724(x56372,x56371)))
% 119.46/119.25 [5638]~P4(x56381)+P13(x56381,x56382)+P1(f313(f313(f222(a883),f731(x56382,x56381)),f735(x56382,x56381)))
% 119.46/119.25 [5726]~P90(x57261)+~E(x57262,f2(x57261))+P1(f313(f313(f222(x57261),f313(f69(x57261),x57262)),f2(x57261)))
% 119.46/119.25 [5822]~P1(f313(x58221,f463(x58222,x58221)))+P1(f313(x58221,f313(a96,x58222)))+P1(f313(f313(f223(a1),x58222),f2(a1)))
% 119.46/119.25 [5846]~P1(f313(x58461,f313(a96,x58462)))+P1(f313(x58461,f2(a883)))+~P1(f313(f313(f223(a1),x58462),f2(a1)))
% 119.46/119.25 [6205]~P115(x62051)+~P1(f313(f313(f223(x62051),x62052),f2(x62051)))+P1(f313(f313(f223(x62051),f75(x62051,x62052)),f2(x62051)))
% 119.46/119.25 [6325]~P115(x63251)+P1(f313(f313(f222(x63251),f313(f94(x63251),x63252)),f2(x63251)))+~P1(f313(f313(f222(a1),x63252),f2(a1)))
% 119.46/119.25 [6326]~P115(x63261)+P1(f313(f313(f223(x63261),f313(f94(x63261),x63262)),f2(x63261)))+~P1(f313(f313(f223(a1),x63262),f2(a1)))
% 119.46/119.25 [6335]~P90(x63352)+E(x63351,f2(x63352))+~P1(f313(f313(f222(x63352),f313(f69(x63352),x63351)),f2(x63352)))
% 119.46/119.25 [6421]~P144(x64211)+~P1(f313(f313(f315(x64211),x64212),f101(x64211)))+P1(f313(f313(f315(x64211),f313(f72(x64211),x64212)),f101(x64211)))
% 119.46/119.25 [6454]~P115(x64541)+~P1(f313(f313(f223(x64541),f75(x64541,x64542)),f2(x64541)))+P1(f313(f313(f223(x64541),x64542),f2(x64541)))
% 119.46/119.25 [6535]~P3(x65351)+P48(a883,x65351,f273(a883),x65352)+P1(f313(f313(f273(a883),f857(x65352,x65351)),f863(x65352,x65351)))
% 119.46/119.25 [6639]~P115(x66392)+~P1(f313(f313(f222(x66392),f313(f94(x66392),x66391)),f2(x66392)))+P1(f313(f313(f222(a1),x66391),f2(a1)))
% 119.46/119.25 [6640]~P115(x66402)+~P1(f313(f313(f223(x66402),f313(f94(x66402),x66401)),f2(x66402)))+P1(f313(f313(f223(a1),x66401),f2(a1)))
% 119.46/119.25 [6731]~P5(x67311)+~P39(x67311,x67311,x67312)+P1(f313(f313(f222(x67311),f313(x67312,f87(x67311,x67312))),f87(x67311,x67312)))
% 119.46/119.25 [6732]~P5(x67321)+~P39(x67321,x67321,x67322)+P1(f313(f313(f222(x67321),f313(x67322,f86(x67321,x67322))),f86(x67321,x67322)))
% 119.46/119.25 [7171]~P82(x71711)+~P1(f313(f313(f222(x71711),x71712),f2(x71711)))+P1(f313(f313(f222(x71711),f313(f313(f73(x71711),x71712),x71712)),f2(x71711)))
% 119.46/119.25 [7172]~P115(x71721)+~P1(f313(f313(f223(x71721),x71722),f2(x71721)))+P1(f313(f313(f223(x71721),f313(f313(f73(x71721),x71722),x71722)),f2(x71721)))
% 119.46/119.25 [7173]~P82(x71731)+~P1(f313(f313(f223(x71731),x71732),f2(x71731)))+P1(f313(f313(f223(x71731),f313(f313(f73(x71731),x71732),x71732)),f2(x71731)))
% 119.46/119.25 [7753]~P82(x77531)+~P1(f313(f313(f222(x77531),f313(f313(f73(x77531),x77532),x77532)),f2(x77531)))+P1(f313(f313(f222(x77531),x77532),f2(x77531)))
% 119.46/119.25 [7754]~P115(x77541)+~P1(f313(f313(f223(x77541),f313(f313(f73(x77541),x77542),x77542)),f2(x77541)))+P1(f313(f313(f223(x77541),x77542),f2(x77541)))
% 119.46/119.25 [7755]~P82(x77551)+~P1(f313(f313(f223(x77551),f313(f313(f73(x77551),x77552),x77552)),f2(x77551)))+P1(f313(f313(f223(x77551),x77552),f2(x77551)))
% 119.46/119.25 [4687]~E(x46872,f71(a883))+~E(x46871,f71(a883))+E(f313(f313(f74(a883),x46871),x46872),f71(a883))
% 119.46/119.25 [4688]~E(x46882,f71(a883))+~E(x46881,f71(a883))+E(f313(f313(f74(a883),x46881),x46882),f71(a883))
% 119.46/119.25 [4689]~E(x46892,f71(a1))+~E(x46891,f71(a1))+E(f313(f313(f74(a1),x46891),x46892),f71(a1))
% 119.46/119.25 [4690]~E(x46902,f2(a883))+~E(x46901,f2(a883))+E(f313(f313(f73(a883),x46901),x46902),f2(a883))
% 119.46/119.25 [4745]~P66(x47452)+E(x47451,f2(x47452))+E(f313(f313(f29(x47452),x47451),x47451),f71(x47452))
% 119.46/119.25 [4746]~P126(x47462)+E(x47461,f2(x47462))+E(f313(f313(f277(x47462),x47461),x47461),f71(x47462))
% 119.46/119.25 [4747]~P127(x47472)+E(x47471,f2(x47472))+E(f313(f313(f277(x47472),x47471),x47471),f71(x47472))
% 119.46/119.25 [4764]~P82(x47641)+~E(x47642,f2(x47641))+E(f313(f313(f73(x47641),x47642),x47642),f2(x47641))
% 119.46/119.25 [4767]~P138(x47671)+~E(x47672,f71(x47671))+E(f313(f313(f74(x47671),x47672),x47672),f71(x47671))
% 119.46/119.25 [4768]~P82(x47681)+~E(x47682,f2(x47681))+E(f313(f313(f73(x47681),x47682),x47682),f2(x47681))
% 119.46/119.25 [4769]~P127(x47691)+~E(x47692,f2(x47691))+E(f313(f313(f277(x47691),x47692),x47692),f2(x47691))
% 119.46/119.25 [4814]~E(x48142,f2(a883))+~E(x48141,f2(a883))+E(f313(f72(a1),f313(f91(a1),x48141)),f313(f91(a1),x48142))
% 119.46/119.25 [4833]E(x48331,f71(a883))+E(x48332,f2(a883))+~E(f313(f313(f74(a883),x48332),x48331),x48332)
% 119.46/119.25 [4845]E(x48451,f2(a883))+E(x48452,f2(a883))+~E(f313(f313(f74(a883),x48452),x48451),f2(a883))
% 119.46/119.25 [4870]~E(x48702,f2(a883))+~E(x48701,f313(a103,f2(a883)))+E(f313(f313(f73(a883),x48701),x48702),f313(a103,f2(a883)))
% 119.46/119.25 [4871]~E(x48711,f2(a883))+~E(x48712,f313(a103,f2(a883)))+E(f313(f313(f73(a883),x48711),x48712),f313(a103,f2(a883)))
% 119.46/119.25 [4872]~E(x48722,f2(a883))+~E(x48721,f313(a103,f2(a883)))+E(f313(f313(f73(a883),x48721),x48722),f313(a103,f2(a883)))
% 119.46/119.25 [4873]~E(x48731,f2(a883))+~E(x48732,f313(a103,f2(a883)))+E(f313(f313(f73(a883),x48731),x48732),f313(a103,f2(a883)))
% 119.46/119.25 [4880]E(x48801,f71(a1))+E(x48802,f313(f95(a1),a88))+~E(f313(f313(f74(a1),x48801),x48802),f71(a1))
% 119.46/119.25 [4881]E(x48811,f71(a1))+E(x48812,f313(f95(a1),a88))+~E(f313(f313(f74(a1),x48812),x48811),f71(a1))
% 119.46/119.25 [4882]E(x48821,f71(a1))+E(x48821,f313(f95(a1),a88))+~E(f313(f313(f74(a1),x48822),x48821),f71(a1))
% 119.46/119.25 [4883]E(x48831,f71(a1))+E(x48831,f313(f95(a1),a88))+~E(f313(f313(f74(a1),x48831),x48832),f71(a1))
% 119.46/119.25 [4884]E(x48841,f71(a1))+E(x48841,f313(f95(a1),a88))+~E(f313(f313(f74(a1),x48841),x48842),f71(a1))
% 119.46/119.25 [4909]~P82(x49092)+E(x49091,f2(x49092))+~E(f313(f313(f73(x49092),x49091),x49091),f2(x49092))
% 119.46/119.25 [4911]~P82(x49112)+E(x49111,f2(x49112))+~E(f313(f313(f73(x49112),x49111),x49111),f2(x49112))
% 119.46/119.25 [4916]~E(x49161,f313(f95(a1),a88))+~E(x49162,f313(f95(a1),a88))+E(f313(f313(f74(a1),x49161),x49162),f71(a1))
% 119.46/119.25 [4926]E(x49261,f2(a883))+E(x49262,f2(a883))+~E(f313(f313(f73(a883),x49262),x49261),f313(a103,f2(a883)))
% 119.46/119.25 [4927]E(x49271,f2(a883))+E(x49272,f2(a883))+~E(f313(f313(f73(a883),x49272),x49271),f313(a103,f2(a883)))
% 119.46/119.25 [4937]~P98(x49371)+~P70(x49371)+E(f313(f313(f277(x49371),x49372),f313(f95(x49371),a76)),f2(x49371))
% 119.46/119.25 [4944]~P138(x49441)+~E(x49442,f313(f72(x49441),f71(x49441)))+E(f313(f313(f74(x49441),x49442),x49442),f71(x49441))
% 119.46/119.25 [4949]~P6(x49492)+~P6(x49491)+P6(f313(f313(f74(a1),x49491),x49492))
% 119.46/119.25 [4950]~P6(x49502)+~P6(x49501)+P6(f313(f313(f73(a1),x49501),x49502))
% 119.46/119.25 [4951]~P6(x49512)+~P6(x49511)+P6(f313(f313(f29(a1),x49511),x49512))
% 119.46/119.25 [4952]~E(x49522,f2(a1))+E(x49521,f2(a1))+E(f39(x49521,x49522),f313(f313(f240(a1,a1),f2(a1)),x49521))
% 119.46/119.25 [4953]~E(x49532,f2(a1))+E(x49531,f2(a1))+E(f39(x49531,x49532),f313(f313(f240(a1,a1),f2(a1)),x49531))
% 119.46/119.25 [4976]~E(x49762,f313(a103,f2(a883)))+~E(x49761,f313(a103,f2(a883)))+E(f313(f313(f74(a883),x49761),x49762),f313(a103,f2(a883)))
% 119.46/119.25 [4991]E(x49911,f2(a883))+E(x49911,f313(a103,f2(a883)))+~E(f313(f313(f73(a883),x49912),x49911),f313(a103,f2(a883)))
% 119.46/119.25 [4992]E(x49921,f2(a883))+E(x49921,f313(a103,f2(a883)))+~E(f313(f313(f73(a883),x49921),x49922),f313(a103,f2(a883)))
% 119.46/119.25 [4993]E(x49931,f2(a883))+E(x49932,f313(a103,f2(a883)))+~E(f313(f313(f232(a883),x49932),x49931),f313(a103,f2(a883)))
% 119.46/119.25 [4994]E(x49941,f2(a883))+E(x49941,f313(a103,f2(a883)))+~E(f313(f313(f73(a883),x49942),x49941),f313(a103,f2(a883)))
% 119.46/119.25 [4995]E(x49951,f2(a883))+E(x49951,f313(a103,f2(a883)))+~E(f313(f313(f73(a883),x49951),x49952),f313(a103,f2(a883)))
% 119.46/119.25 [5004]~P98(x50041)+~P70(x50041)+E(f313(f313(f277(x50041),x50042),f313(f95(x50041),a88)),f313(f72(x50041),x50042))
% 119.46/119.25 [5024]E(x50241,f313(a96,x50242))+~E(x50241,f2(a883))+P1(f313(f313(f222(a1),f2(a1)),x50242))
% 119.46/119.25 [5025]E(f313(a96,x50251),x50252)+~E(x50252,f2(a883))+P1(f313(f313(f222(a1),f2(a1)),x50251))
% 119.46/119.25 [5040]E(x50401,f313(a103,f2(a883)))+E(x50402,f313(a103,f2(a883)))+~E(f313(f313(f73(a883),x50401),x50402),f313(a103,f2(a883)))
% 119.46/119.25 [5041]E(x50411,f313(a103,f2(a883)))+E(x50412,f313(a103,f2(a883)))+~E(f313(f313(f73(a883),x50411),x50412),f313(a103,f2(a883)))
% 119.46/119.25 [5053]~E(x50531,f313(a96,x50532))+E(x50531,f2(a883))+P1(f313(f313(f222(a1),f2(a1)),x50532))
% 119.46/119.25 [5054]~E(f313(a96,x50542),x50541)+E(x50541,f2(a883))+P1(f313(f313(f222(a1),f2(a1)),x50542))
% 119.46/119.25 [5081]~P103(x50811)+E(f313(f56(x50811,f92(x50811)),x50812),f15(x50811,x50812))+~P1(f313(f54(x50811),x50812))
% 119.46/119.25 [5082]~P4(x50821)+E(f313(f56(x50821,f177(x50821)),x50822),f16(x50821,x50822))+~P1(f313(f54(x50821),x50822))
% 119.46/119.25 [5083]~P4(x50831)+E(f313(f56(x50831,f227(x50831)),x50832),f17(x50831,x50832))+~P1(f313(f54(x50831),x50832))
% 119.46/119.25 [5084]~P103(x50841)+E(f313(f56(x50841,f93(x50841)),x50842),f12(x50841,x50842))+~P1(f313(f54(x50841),x50842))
% 119.46/119.25 [5165]E(x51651,x51652)+~E(f313(f313(f3(a883),x51652),x51651),f2(a883))+~E(f313(f313(f3(a883),x51651),x51652),f2(a883))
% 119.46/119.25 [5182]P6(x51821)+~P40(x51822)+~P1(f313(f313(f315(a1),x51821),x51822))
% 119.46/119.25 [5213]~P115(x52131)+~E(f75(x52131,x52132),f71(x52131))+P1(f313(f313(f223(x52131),f2(x52131)),x52132))
% 119.46/119.25 [5224]~P98(x52241)+E(f313(f91(x52241),f313(f95(a883),x52242)),f313(f95(x52241),x52242))+P1(f313(a183,f313(f95(a1),x52242)))
% 119.46/119.25 [5229]~P43(x52291,x52292)+P44(a881)+P1(f313(f54(f889(x52291,x52291)),x52292))
% 119.46/119.25 [5300]~P4(x53001)+E(f313(f56(x53001,f177(x53001)),x53002),f13(x53001,f177(x53001),x53002))+~P1(f313(f54(x53001),x53002))
% 119.46/119.25 [5301]~P4(x53011)+E(f313(f56(x53011,f227(x53011)),x53012),f14(x53011,f227(x53011),x53012))+~P1(f313(f54(x53011),x53012))
% 119.46/119.25 [5315]E(x53151,x53152)+P1(f313(f313(f223(a883),x53152),x53151))+P1(f313(f313(f223(a883),x53151),x53152))
% 119.46/119.25 [5316]E(x53161,x53162)+P1(f313(f313(f223(a883),x53162),x53161))+P1(f313(f313(f223(a883),x53161),x53162))
% 119.46/119.25 [5317]E(x53171,x53172)+P1(f313(f313(f223(a1),x53172),x53171))+P1(f313(f313(f223(a1),x53171),x53172))
% 119.46/119.25 [5371]~P98(x53711)+E(f313(f91(x53711),f313(f95(a883),x53712)),f2(x53711))+~P1(f313(a183,f313(f95(a1),x53712)))
% 119.46/119.25 [5374]~E(x53742,f313(a96,x53741))+E(x53741,f313(f91(a1),x53742))+~P1(f313(f313(f222(a1),f2(a1)),x53741))
% 119.46/119.25 [5375]~E(f313(a96,x53751),x53752)+E(x53751,f313(f91(a1),x53752))+~P1(f313(f313(f222(a1),f2(a1)),x53751))
% 119.46/119.25 [5376]~E(x53761,f313(a96,x53762))+E(f313(f91(a1),x53761),x53762)+~P1(f313(f313(f222(a1),f2(a1)),x53762))
% 119.46/119.25 [5386]E(x53861,f313(a96,x53862))+~E(x53862,f313(f91(a1),x53861))+~P1(f313(f313(f222(a1),f2(a1)),x53862))
% 119.46/119.25 [5387]E(f313(a96,x53871),x53872)+~E(x53871,f313(f91(a1),x53872))+~P1(f313(f313(f222(a1),f2(a1)),x53871))
% 119.46/119.25 [5416]~P120(x54162)+E(x54161,f2(x54162))+~P1(f313(f313(f273(x54162),f2(x54162)),x54161))
% 119.46/119.25 [5427]~P90(x54272)+E(x54271,f2(x54272))+P1(f313(f313(f223(x54272),f2(x54272)),f313(f69(x54272),x54271)))
% 119.46/119.25 [5490]~P115(x54901)+E(f75(x54901,x54902),f71(x54901))+~P1(f313(f313(f223(x54901),f2(x54901)),x54902))
% 119.46/119.25 [5491]~P115(x54911)+E(f75(x54911,x54912),f71(x54911))+~P1(f313(f313(f223(x54911),f2(x54911)),x54912))
% 119.46/119.25 [5497]~P98(x54971)+E(f313(f91(x54971),f313(f95(a883),x54972)),f2(x54971))+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x54972)))
% 119.46/119.25 [5508]~P90(x55081)+E(f313(f69(x55081),x55082),x55082)+~P1(f313(f313(f222(x55081),f2(x55081)),x55082))
% 119.46/119.25 [5509]~P90(x55091)+E(f313(f69(x55091),x55092),x55092)+~P1(f313(f313(f223(x55091),f2(x55091)),x55092))
% 119.46/119.25 [5518]E(x55181,f2(a883))+~E(f127(a883,f313(f288(a883,x55182),x55181)),f104(a883))+P1(f313(f313(f222(a883),x55181),x55182))
% 119.46/119.25 [5528]~P79(x55281)+E(f313(f313(f8(x55281,x55281),f7(x55281)),f313(f160(x55281),x55282)),f313(f153(x55281),x55282))+~P1(f313(f125(x55281),x55282))
% 119.46/119.25 [5531]~P144(x55311)+E(f313(f91(x55311),f313(a96,x55312)),f313(f94(x55311),x55312))+~P1(f313(f313(f222(a1),f2(a1)),x55312))
% 119.46/119.25 [5533]~E(x55331,x55332)+P1(f313(f313(f223(a883),x55331),f313(a103,x55332)))+P1(f313(f313(f223(a883),x55331),x55332))
% 119.46/119.25 [5556]E(x55561,x55562)+P1(f313(f313(f223(a883),x55561),x55562))+~P1(f313(f313(f222(a883),x55561),x55562))
% 119.46/119.25 [5557]E(x55571,x55572)+P1(f313(f313(f223(a883),x55571),x55572))+~P1(f313(f313(f222(a883),x55571),x55572))
% 119.46/119.25 [5558]E(x55581,x55582)+P1(f313(f313(f223(a883),x55581),x55582))+~P1(f313(f313(f222(a883),x55581),x55582))
% 119.46/119.25 [5559]E(x55591,x55592)+P1(f313(f313(f223(a1),x55591),x55592))+~P1(f313(f313(f222(a1),x55591),x55592))
% 119.46/119.25 [5562]E(x55621,f71(a1))+~E(f313(f313(f74(a1),x55622),x55621),f71(a1))+~P1(f313(f313(f223(a1),f2(a1)),x55622))
% 119.46/119.25 [5563]E(x55631,f71(a1))+~E(f313(f313(f74(a1),x55631),x55632),f71(a1))+~P1(f313(f313(f223(a1),f2(a1)),x55631))
% 119.46/119.25 [5603]~P40(x56032)+P1(f313(f313(f222(a1),f2(a1)),x56031))+~P1(f313(f313(f315(a1),x56031),x56032))
% 119.46/119.25 [5604]~P40(x56042)+P1(f313(f313(f222(a1),f2(a1)),x56041))+~P1(f313(f313(f315(a1),x56041),x56042))
% 119.46/119.25 [5623]~P60(x56231,x56232)+P36(x56231,x56232)+~P1(f313(f54(f889(x56231,x56231)),x56232))
% 119.46/119.25 [5624]~P60(x56241,x56242)+P36(x56241,x56242)+~P1(f313(f54(f889(x56241,x56241)),x56242))
% 119.46/119.25 [5625]~P36(x56251,x56252)+P60(x56251,x56252)+~P1(f313(f54(f889(x56251,x56251)),x56252))
% 119.46/119.25 [5626]~P60(x56261,x56262)+P43(x56261,x56262)+~P1(f313(f54(f889(x56261,x56261)),x56262))
% 119.46/119.25 [5669]E(x56691,f178(f890(x56692,a881)))+~P1(f313(f54(x56692),x56691))+P1(f313(f313(f223(a883),f2(a883)),f313(f28(x56692),x56691)))
% 119.46/119.25 [5696]~P1(f313(x56961,x56962))+P1(f313(x56961,f2(a883)))+P1(f313(f313(f223(a883),f585(x56962,x56961)),x56962))
% 119.46/119.25 [5719]E(x57191,f2(a883))+~E(f313(f153(a883),x57192),f2(a883))+~P1(f313(f313(f315(a883),x57191),f313(f160(a883),x57192)))
% 119.46/119.25 [5755]~E(x57551,x57552)+P1(f313(f313(f223(a883),x57551),f313(a103,x57552)))+~P1(f313(f313(f222(a883),x57552),x57551))
% 119.46/119.25 [5784]~E(x57842,f2(a883))+P1(f313(f313(f222(a1),f2(a1)),x57841))+P1(f313(f313(f273(a883),f313(a96,x57841)),x57842))
% 119.46/119.25 [5787]E(x57871,x57872)+~P1(f313(f313(f222(a883),x57872),x57871))+~P1(f313(f313(f222(a883),x57871),x57872))
% 119.46/119.25 [5788]E(x57881,x57882)+~P1(f313(f313(f222(a1),x57882),x57881))+~P1(f313(f313(f222(a1),x57881),x57882))
% 119.46/119.25 [5789]E(x57891,x57892)+~P1(f313(f313(f273(a883),x57892),x57891))+~P1(f313(f313(f273(a883),x57891),x57892))
% 119.46/119.25 [5790]E(x57901,x57902)+~P1(f313(f313(f273(a883),x57902),x57901))+~P1(f313(f313(f273(a883),x57901),x57902))
% 119.46/119.25 [5791]E(x57911,x57912)+~P1(f313(f313(f273(a883),x57912),x57911))+~P1(f313(f313(f273(a883),x57911),x57912))
% 119.46/119.25 [5792]E(x57921,x57922)+~P1(f313(f313(f273(a883),x57922),x57921))+~P1(f313(f313(f273(a883),x57921),x57922))
% 119.46/119.25 [5793]E(x57931,x57932)+~P1(f313(f313(f273(a883),x57932),x57931))+~P1(f313(f313(f273(a883),x57931),x57932))
% 119.46/119.25 [5794]E(x57941,x57942)+~P1(f313(f313(f273(a883),x57942),x57941))+~P1(f313(f313(f273(a883),x57941),x57942))
% 119.46/119.25 [5795]E(x57951,x57952)+~P1(f313(f313(f273(a883),x57952),x57951))+~P1(f313(f313(f273(a883),x57951),x57952))
% 119.46/119.25 [5796]E(x57961,x57962)+~P1(f313(f313(f273(a883),x57962),x57961))+~P1(f313(f313(f273(a883),x57961),x57962))
% 119.46/119.25 [5797]E(x57971,x57972)+~P1(f313(f313(f273(a883),x57972),x57971))+~P1(f313(f313(f273(a883),x57971),x57972))
% 119.46/119.25 [5799]E(f313(f28(x57991),x57992),f2(a883))+~P1(f313(f54(x57991),x57992))+P1(f313(f313(f315(x57991),f587(x57992,x57991)),x57992))
% 119.46/119.25 [5808]E(f43(x58081,x58082),f39(x58081,x58082))+P1(f313(f313(f222(a1),f2(a1)),x58081))+~P1(f313(f313(f223(a1),f2(a1)),x58082))
% 119.46/119.25 [5835]~P1(f313(x58351,f430(x58351)))+P1(f313(x58351,f313(a96,x58352)))+~P1(f313(f313(f222(a1),f2(a1)),x58352))
% 119.46/119.25 [5837]P1(f313(f313(f222(a883),x58371),f362(x58372)))+~P1(f313(f54(a883),x58372))+~P1(f313(f313(f315(a883),x58371),x58372))
% 119.46/119.25 [5838]P1(f313(f313(f223(a883),x58381),f342(x58382)))+~P1(f313(f54(a883),x58382))+~P1(f313(f313(f315(a883),x58381),x58382))
% 119.46/119.25 [5864]E(x58641,x58642)+~P1(f313(f313(f223(a883),x58641),f313(a103,x58642)))+P1(f313(f313(f223(a883),x58641),x58642))
% 119.46/119.25 [5865]E(x58651,x58652)+~P1(f313(f313(f223(a883),x58651),f313(a103,x58652)))+P1(f313(f313(f223(a883),x58651),x58652))
% 119.46/119.25 [5866]E(x58661,x58662)+~P1(f313(f313(f223(a883),x58661),f313(a103,x58662)))+P1(f313(f313(f223(a883),x58661),x58662))
% 119.46/119.25 [5867]E(x58671,x58672)+~P1(f313(f313(f223(a883),x58671),f313(a103,x58672)))+P1(f313(f313(f223(a883),x58671),x58672))
% 119.46/119.25 [5902]E(x59021,f313(a103,x59022))+~P1(f313(f313(f222(a883),x59021),f313(a103,x59022)))+P1(f313(f313(f222(a883),x59021),x59022))
% 119.46/119.25 [5903]E(x59031,f313(a103,x59032))+~P1(f313(f313(f222(a883),x59031),f313(a103,x59032)))+P1(f313(f313(f222(a883),x59031),x59032))
% 119.46/119.25 [5919]P1(f313(x59191,f464(x59191)))+~P1(f313(x59191,f313(a96,x59192)))+~P1(f313(f313(f222(a1),f2(a1)),x59192))
% 119.46/119.25 [5921]E(f313(f69(a1),x59211),f313(f69(a1),x59212))+~P1(f313(f313(f273(a1),x59212),x59211))+~P1(f313(f313(f273(a1),x59211),x59212))
% 119.46/119.25 [5935]~P1(f313(x59351,x59352))+~P1(f313(f313(f222(a1),f2(a1)),x59352))+P1(f313(x59351,f313(f91(a1),f405(x59351))))
% 119.46/119.25 [5946]~P90(x59462)+~E(x59461,f2(x59462))+~P1(f313(f313(f223(x59462),f2(x59462)),f313(f69(x59462),x59461)))
% 119.46/119.25 [5972]~P60(x59721,x59722)+P36(x59721,f313(f272(x59721,x59721),x59722))+~P1(f313(f54(f889(x59721,x59721)),x59722))
% 119.46/119.25 [5983]~P98(x59831)+E(f313(f91(x59831),f313(f95(a883),x59832)),f313(f95(x59831),x59832))+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x59832)))
% 119.46/119.25 [5986]E(f313(a103,x59861),x59862)+~P1(f313(f313(f223(a883),x59861),x59862))+P1(f313(f313(f223(a883),f313(a103,x59861)),x59862))
% 119.46/119.25 [6002]E(f313(f313(f29(a1),x60021),x60022),f2(a1))+~P1(f313(f313(f222(a1),x60021),f2(a1)))+~P1(f313(f313(f223(a1),x60022),x60021))
% 119.46/119.25 [6003]E(f313(f313(f29(a1),x60031),x60032),f2(a1))+~P1(f313(f313(f222(a1),x60031),f2(a1)))+~P1(f313(f313(f223(a1),x60032),x60031))
% 119.46/119.25 [6015]E(f38(a1,x60151,x60152),x60151)+~P1(f313(f313(f222(a1),x60151),f2(a1)))+~P1(f313(f313(f223(a1),x60152),x60151))
% 119.46/119.25 [6029]E(f40(x60291,x60292),f39(x60291,x60292))+~P1(f313(f313(f222(a1),f2(a1)),x60291))+~P1(f313(f313(f222(a1),f2(a1)),x60292))
% 119.46/119.25 [6037]E(f313(f313(f29(a883),x60371),x60372),f2(a883))+~P1(f313(f313(f223(a883),f2(a883)),x60372))+~P1(f313(f313(f223(a883),x60371),x60372))
% 119.46/119.25 [6038]E(f313(f313(f29(a1),x60381),x60382),f2(a1))+~P1(f313(f313(f222(a1),f2(a1)),x60381))+~P1(f313(f313(f223(a1),x60381),x60382))
% 119.46/119.25 [6039]E(f313(f313(f29(a1),x60391),x60392),f2(a1))+~P1(f313(f313(f222(a1),f2(a1)),x60391))+~P1(f313(f313(f223(a1),x60391),x60392))
% 119.46/119.25 [6050]E(f38(a883,f313(f95(a883),x60501),f313(f95(a883),x60502)),f313(f95(a883),x60501))+P1(f313(a183,f313(f95(a1),x60501)))+~P1(f313(a183,f313(f95(a1),x60502)))
% 119.46/119.25 [6052]E(f38(a1,x60521,x60522),x60521)+~P1(f313(f313(f222(a1),f2(a1)),x60521))+~P1(f313(f313(f223(a1),x60521),x60522))
% 119.46/119.25 [6054]E(x60541,x60542)+~P1(f313(f313(f223(a883),x60541),f313(a103,x60542)))+~P1(f313(f313(f222(a883),x60542),x60541))
% 119.46/119.25 [6064]E(f313(f95(a1),x60641),f313(f91(a1),x60642))+~E(x60642,f313(a96,f313(f95(a1),x60641)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x60641)))
% 119.46/119.25 [6068]~P82(x60681)+~P1(f313(f313(f222(x60681),x60682),f2(x60681)))+P1(f313(f313(f222(x60681),x60682),f313(f72(x60681),x60682)))
% 119.46/119.25 [6069]~P115(x60691)+~P1(f313(f313(f223(x60691),x60692),f2(x60691)))+P1(f313(f313(f223(x60691),x60692),f313(f72(x60691),x60692)))
% 119.46/119.25 [6078]~P5(x60781)+E(f313(f313(f57(x60781,x60781,f93(x60781)),f230(x60781)),x60782),f31(x60781,x60782))+~P1(f313(f54(x60781),x60782))
% 119.46/119.25 [6079]~P5(x60791)+E(f313(f313(f57(x60791,x60791,f92(x60791)),f178(x60791)),x60792),f30(x60791,x60792))+~P1(f313(f54(x60791),x60792))
% 119.46/119.25 [6096]~P115(x60961)+~P1(f313(f313(f222(a1),f2(a1)),x60962))+P1(f313(f313(f222(x60961),f2(x60961)),f313(f94(x60961),x60962)))
% 119.46/119.25 [6097]~P114(x60971)+~P1(f313(f313(f223(a883),f2(a883)),x60972))+P1(f313(f313(f223(x60971),f2(x60971)),f313(f91(x60971),x60972)))
% 119.46/119.25 [6098]~P115(x60981)+~P1(f313(f313(f223(a1),f2(a1)),x60982))+P1(f313(f313(f223(x60981),f2(x60981)),f313(f94(x60981),x60982)))
% 119.46/119.25 [6101]~P6(x61012)+~P6(x61011)+E(f313(f296(a883,a1,f91(a1)),f289(a883,f313(a96,x61011),f313(a96,x61012))),f289(a1,x61011,x61012))
% 119.46/119.25 [6107]P1(f313(x61071,x61072))+~P1(f313(f313(f222(a1),f2(a1)),x61072))+~P1(f313(x61071,f313(f91(a1),f387(x61071))))
% 119.46/119.25 [6139]E(f313(f313(f73(a883),f313(f95(a883),x61391)),f313(f95(a883),x61392)),f313(f95(a883),x61391))+P1(f313(f313(f223(a1),x61391),a76))+~P1(f313(f313(f223(a1),x61392),a76))
% 119.46/119.25 [6143]~P115(x61431)+P1(f313(f313(f223(x61431),f2(x61431)),f75(x61431,x61432)))+~P1(f313(f313(f223(x61431),f2(x61431)),x61432))
% 119.46/119.25 [6157]~P87(x61571)+~P1(f313(f313(f222(x61571),x61572),f2(x61571)))+P1(f313(f313(f222(x61571),f2(x61571)),f313(f72(x61571),x61572)))
% 119.46/119.25 [6158]~P87(x61581)+~P1(f313(f313(f223(x61581),x61582),f2(x61581)))+P1(f313(f313(f223(x61581),f2(x61581)),f313(f72(x61581),x61582)))
% 119.46/119.25 [6161]E(x61611,f2(a883))+P1(f313(f313(f222(a1),f2(a1)),x61612))+~P1(f313(f313(f273(a883),f313(a96,x61612)),x61611))
% 119.46/119.25 [6162]E(x61621,f230(f890(x61622,a881)))+~E(f313(f28(x61622),x61621),f313(f28(x61622),f230(f890(x61622,a881))))+~P1(f313(f54(x61622),f230(f890(x61622,a881))))
% 119.46/119.25 [6188]~P1(f313(f313(f223(a883),f2(a883)),x61882))+~P1(f313(f313(f273(a883),x61881),x61882))+P1(f313(f313(f222(a883),x61881),x61882))
% 119.46/119.25 [6189]~P1(f313(f313(f223(a1),f2(a1)),x61892))+~P1(f313(f313(f273(a1),x61891),x61892))+P1(f313(f313(f222(a1),x61891),x61892))
% 119.46/119.25 [6196]~P82(x61961)+P1(f313(f313(f222(x61961),x61962),f2(x61961)))+~P1(f313(f313(f222(x61961),x61962),f313(f72(x61961),x61962)))
% 119.46/119.25 [6197]~P115(x61971)+P1(f313(f313(f223(x61971),x61972),f2(x61971)))+~P1(f313(f313(f223(x61971),x61972),f313(f72(x61971),x61972)))
% 119.46/119.25 [6204]E(f40(x62041,x62042),f313(f313(f240(a1,a1),f2(a1)),x62041))+~P1(f313(f313(f223(a1),f2(a1)),x62042))+~P1(f313(f313(f223(a1),x62041),x62042))
% 119.46/119.25 [6207]~P98(x62071)+P1(f313(f313(f315(x62071),f313(f95(x62071),x62072)),f174(x62071)))+~P1(f313(f313(f222(a1),a76),x62072))
% 119.46/119.25 [6236]E(x62361,f2(a883))+~P1(f313(f313(f223(a883),x62361),f313(a103,x62362)))+P1(f313(f313(f223(a883),f823(x62362,x62361)),x62362))
% 119.46/119.25 [6260]~P115(x62601)+~P1(f313(f313(f223(x62601),f2(x62601)),f75(x62601,x62602)))+P1(f313(f313(f223(x62601),f2(x62601)),x62602))
% 119.46/119.25 [6262]~E(f313(f95(a883),x62622),f313(f95(a883),x62621))+P1(f313(f313(f222(a1),f313(f95(a1),x62621)),f2(a1)))+~P1(f313(a183,f313(f95(a1),x62622)))
% 119.46/119.25 [6291]E(f313(f239(a1,a1),f43(x62911,x62912)),f313(f313(f29(a1),x62911),x62912))+~P1(f313(f313(f223(a1),x62911),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x62912))
% 119.46/119.25 [6332]E(f313(f244(a1,a1),f43(x63321,x63322)),f38(a1,x63321,x63322))+~P1(f313(f313(f223(a1),x63321),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x63322))
% 119.46/119.25 [6334]E(x63341,f2(a1))+~P1(f313(f313(f273(a1),x63342),x63341))+P1(f313(f313(f222(a1),f313(f69(a1),x63342)),f313(f69(a1),x63341)))
% 119.46/119.25 [6336]~P115(x63362)+~P1(f313(f313(f222(x63362),f2(x63362)),f313(f94(x63362),x63361)))+P1(f313(f313(f222(a1),f2(a1)),x63361))
% 119.46/119.25 [6337]~P114(x63372)+~P1(f313(f313(f223(x63372),f2(x63372)),f313(f91(x63372),x63371)))+P1(f313(f313(f223(a883),f2(a883)),x63371))
% 119.46/119.25 [6338]~P115(x63382)+~P1(f313(f313(f223(x63382),f2(x63382)),f313(f94(x63382),x63381)))+P1(f313(f313(f223(a1),f2(a1)),x63381))
% 119.46/119.25 [6342]~E(x63422,f2(a883))+P1(f313(f313(f273(a883),f313(a96,x63421)),x63422))+~P1(f313(f313(f273(a1),x63421),f313(f91(a1),x63422)))
% 119.46/119.25 [6343]E(f313(f239(a1,a1),f40(x63431,x63432)),f313(f313(f29(a1),x63431),x63432))+~P1(f313(f313(f222(a1),f2(a1)),x63432))+~P1(f313(f313(f223(a1),f2(a1)),x63431))
% 119.46/119.25 [6359]E(f313(f244(a1,a1),f40(x63591,x63592)),f38(a1,x63591,x63592))+~P1(f313(f313(f222(a1),f2(a1)),x63592))+~P1(f313(f313(f223(a1),f2(a1)),x63591))
% 119.46/119.25 [6375]~P87(x63751)+P1(f313(f313(f222(x63751),x63752),f2(x63751)))+~P1(f313(f313(f222(x63751),f2(x63751)),f313(f72(x63751),x63752)))
% 119.46/119.25 [6376]~P87(x63761)+P1(f313(f313(f223(x63761),x63762),f2(x63761)))+~P1(f313(f313(f223(x63761),f2(x63761)),f313(f72(x63761),x63762)))
% 119.46/119.25 [6399]~P5(x63991)+~P39(x63991,x63991,x63992)+P1(f313(f313(f222(x63991),f87(x63991,x63992)),f313(x63992,f87(x63991,x63992))))
% 119.46/119.25 [6400]~P5(x64001)+~P39(x64001,x64001,x64002)+P1(f313(f313(f222(x64001),f86(x64001,x64002)),f313(x64002,f86(x64001,x64002))))
% 119.46/119.25 [6404]P1(f313(f42(x64041,x64042),f43(x64041,x64042)))+~P1(f313(f313(f223(a1),x64041),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x64042))
% 119.46/119.25 [6419]~P1(f313(f313(f223(a883),f2(a883)),x64191))+~P1(f313(f313(f273(a883),x64192),x64191))+~P1(f313(f313(f223(a883),x64191),x64192))
% 119.46/119.25 [6420]~P1(f313(f313(f223(a1),f2(a1)),x64201))+~P1(f313(f313(f273(a1),x64202),x64201))+~P1(f313(f313(f223(a1),x64201),x64202))
% 119.46/119.25 [6433]P1(f313(f42(x64331,x64332),f40(x64331,x64332)))+~P1(f313(f313(f222(a1),f2(a1)),x64331))+~P1(f313(f313(f223(a1),f2(a1)),x64332))
% 119.46/119.25 [6478]~P87(x64781)+P1(f313(f313(f222(x64781),f313(f72(x64781),x64782)),f2(x64781)))+~P1(f313(f313(f222(x64781),f2(x64781)),x64782))
% 119.46/119.25 [6479]~P87(x64791)+P1(f313(f313(f223(x64791),f313(f72(x64791),x64792)),f2(x64791)))+~P1(f313(f313(f223(x64791),f2(x64791)),x64792))
% 119.46/119.25 [6500]E(f313(f313(f3(a883),f313(a96,x65001)),f313(a96,x65002)),f313(a96,f184(x65001,x65002)))+~P1(f313(f313(f222(a1),f2(a1)),x65002))+~P1(f313(f313(f222(a1),f2(a1)),x65001))
% 119.46/119.25 [6518]P1(f313(f313(f222(a1),f2(a1)),f184(x65181,x65182)))+~P1(f313(f313(f222(a1),f2(a1)),x65182))+~P1(f313(f313(f222(a1),f2(a1)),x65181))
% 119.46/119.25 [6556]~P1(f313(x65561,x65562))+P1(f313(x65561,f2(a883)))+P1(f313(x65561,f313(f313(f73(a883),f585(x65562,x65561)),f71(a883))))
% 119.46/119.25 [6562]E(f276(a883,f273(a883),x65621,x65622),f178(f890(a883,a881)))+P1(f313(f313(f273(a883),x65621),x65622))+~P1(f313(f313(f273(a883),x65622),x65621))
% 119.46/119.25 [6647]E(f313(f95(a883),x66471),f313(f95(a883),x66472))+~P1(f313(f313(f222(a1),f313(f95(a1),x66472)),f2(a1)))+~P1(f313(a183,f313(f95(a1),x66471)))
% 119.46/119.25 [6661]~E(x66611,f2(a883))+~E(f700(x66612,x66611),f2(a883))+E(f313(f130(a883,a883,f73(a883),x66611),x66612),f2(a883))
% 119.46/119.25 [6687]~P1(f313(f54(x66871),f605(x66872,x66871)))+~P1(f313(f54(f890(x66871,a881)),x66872))+P1(f313(f54(x66871),f30(f890(x66871,a881),x66872)))
% 119.46/119.25 [6693]E(x66931,x66932)+P1(f313(f313(f223(a1),x66931),x66932))+~P1(f313(f313(f223(a1),x66931),f313(f313(f73(a1),x66932),f71(a1))))
% 119.46/119.25 [6694]P1(f313(f313(f222(a883),f313(a96,x66941)),f313(a96,x66942)))+~P1(f313(f313(f222(a1),f2(a1)),x66942))+~P1(f313(f313(f222(a1),x66941),x66942))
% 119.46/119.25 [6695]P1(f313(f313(f222(a883),f313(a96,x66951)),f313(a96,x66952)))+~P1(f313(f313(f223(a1),f2(a1)),x66951))+~P1(f313(f313(f222(a1),x66951),x66952))
% 119.46/119.25 [6696]P1(f313(f313(f223(a883),f313(a96,x66961)),f313(a96,x66962)))+~P1(f313(f313(f223(a1),f2(a1)),x66962))+~P1(f313(f313(f223(a1),x66961),x66962))
% 119.46/119.25 [6697]P1(f313(f313(f223(a883),f313(a96,x66971)),f313(a96,x66972)))+~P1(f313(f313(f222(a1),f2(a1)),x66971))+~P1(f313(f313(f223(a1),x66971),x66972))
% 119.46/119.25 [6698]P1(f313(f313(f223(a883),f313(a96,x66981)),f313(a96,x66982)))+~P1(f313(f313(f223(a1),f2(a1)),x66982))+~P1(f313(f313(f223(a1),x66981),x66982))
% 119.46/119.25 [6709]E(f38(a883,f313(a96,x67091),f313(a96,x67092)),f313(a96,f38(a1,x67091,x67092)))+~P1(f313(f313(f222(a1),f2(a1)),x67092))+~P1(f313(f313(f222(a1),f2(a1)),x67091))
% 119.46/119.25 [6710]E(f38(a883,f313(a96,x67101),f313(a96,x67102)),f313(a96,f38(a1,x67101,x67102)))+~P1(f313(f313(f222(a1),f2(a1)),x67102))+~P1(f313(f313(f222(a1),f2(a1)),x67101))
% 119.46/119.25 [6735]~P87(x67351)+~P1(f313(f313(f222(x67351),f313(f72(x67351),x67352)),f2(x67351)))+P1(f313(f313(f222(x67351),f2(x67351)),x67352))
% 119.46/119.25 [6736]~P87(x67361)+~P1(f313(f313(f223(x67361),f313(f72(x67361),x67362)),f2(x67361)))+P1(f313(f313(f223(x67361),f2(x67361)),x67362))
% 119.46/119.25 [6752]~P1(f313(f313(f223(a1),a76),x67522))+~P1(f313(f313(f223(a1),x67521),x67522))+P1(f313(f313(f223(a883),f313(f95(a883),x67521)),f313(f95(a883),x67522)))
% 119.46/119.25 [6847]~P1(f313(f313(f222(a1),f2(a1)),x68471))+P1(f313(f313(f223(a883),f313(a96,x68471)),x68472))+~P1(f313(f313(f223(a1),x68471),f313(f91(a1),x68472)))
% 119.46/119.25 [6848]~P1(f313(f313(f222(a1),f2(a1)),x68481))+P1(f313(f313(f273(a883),f313(a96,x68481)),x68482))+~P1(f313(f313(f273(a1),x68481),f313(f91(a1),x68482)))
% 119.46/119.25 [6863]E(x68631,f2(a1))+E(f38(a1,x68632,x68631),f2(a1))+E(f313(f313(f3(a1),f313(f72(a1),f313(f313(f29(a1),x68632),x68631))),f71(a1)),f313(f313(f29(a1),x68632),f313(f72(a1),x68631)))
% 119.46/119.25 [6878]~P1(f313(f313(f222(a1),f2(a1)),x68781))+~P1(f313(f313(f223(a883),f313(a96,x68781)),x68782))+P1(f313(f313(f223(a1),x68781),f313(f91(a1),x68782)))
% 119.46/119.25 [6879]~P1(f313(f313(f222(a1),f2(a1)),x68791))+~P1(f313(f313(f273(a883),f313(a96,x68791)),x68792))+P1(f313(f313(f273(a1),x68791),f313(f91(a1),x68792)))
% 119.46/119.25 [6917]~P1(f313(f313(f222(a883),f313(a96,x69171)),f313(a96,x69172)))+~P1(f313(f313(f222(a1),f2(a1)),x69172))+P1(f313(f313(f222(a1),x69171),x69172))
% 119.46/119.25 [6918]~P1(f313(f313(f222(a883),f313(a96,x69181)),f313(a96,x69182)))+~P1(f313(f313(f223(a1),f2(a1)),x69181))+P1(f313(f313(f222(a1),x69181),x69182))
% 119.46/119.25 [6919]~P1(f313(f313(f223(a883),f313(a96,x69191)),f313(a96,x69192)))+~P1(f313(f313(f222(a1),f2(a1)),x69191))+P1(f313(f313(f223(a1),x69191),x69192))
% 119.46/119.25 [6920]~P1(f313(f313(f223(a883),f313(a96,x69201)),f313(a96,x69202)))+~P1(f313(f313(f223(a1),f2(a1)),x69202))+P1(f313(f313(f223(a1),x69201),x69202))
% 119.46/119.25 [6951]P1(f313(f313(f222(a1),x69511),x69512))+~P1(f313(f313(f222(a883),f313(f95(a883),x69511)),f313(f95(a883),x69512)))+P1(f313(f313(f222(a1),x69511),a76))
% 119.46/119.25 [6980]P1(f313(f313(f222(a1),f2(a1)),f38(a1,x69801,x69802)))+~P1(f313(f313(f222(a1),f2(a1)),x69802))+~P1(f313(f313(f222(a1),f2(a1)),x69801))
% 119.46/119.25 [7078]P1(f313(f313(f223(a1),a76),x70781))+~P1(f313(f313(f223(a1),x70782),x70781))+~P1(f313(f313(f223(a883),f313(f95(a883),x70782)),f313(f95(a883),x70781)))
% 119.46/119.25 [7132]E(f313(f313(f240(a1,a1),f313(f313(f29(a1),x71321),x71322)),f38(a1,x71321,x71322)),f43(x71321,x71322))+~P1(f313(f313(f223(a1),x71321),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x71322))
% 119.46/119.25 [7152]E(f313(f313(f240(a1,a1),f313(f313(f29(a1),x71521),x71522)),f38(a1,x71521,x71522)),f40(x71521,x71522))+~P1(f313(f313(f222(a1),f2(a1)),x71522))+~P1(f313(f313(f222(a1),f2(a1)),x71521))
% 119.46/119.25 [7207]~P101(x72072)+E(x72071,f104(x72072))+E(f313(f130(x72072,x72072,f74(x72072),f313(f129(x72072),x72071)),f313(f159(x72072),x72071)),f313(f56(x72072,f74(x72072)),f313(f160(x72072),x72071)))
% 119.46/119.25 [7323]~E(x73231,f2(a883))+E(f313(f130(a883,a883,f73(a883),x73231),x73232),f2(a883))+P1(f313(f313(f315(a883),f700(x73232,x73231)),f313(f160(a883),x73232)))
% 119.46/119.25 [7377]~P1(f313(f313(f222(a1),x73771),f2(a1)))+P1(f313(f313(f222(a1),f313(f313(f29(a1),x73771),x73772)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x73772))
% 119.46/119.25 [7378]~P1(f313(f313(f223(a1),x73782),f2(a1)))+P1(f313(f313(f222(a1),f313(f313(f29(a1),x73781),x73782)),f2(a1)))+~P1(f313(f313(f222(a1),f2(a1)),x73781))
% 119.46/119.25 [7379]~P1(f313(f313(f223(a1),x73792),f2(a1)))+P1(f313(f313(f223(a1),f313(f313(f29(a1),x73791),x73792)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x73791))
% 119.46/119.25 [7380]~P1(f313(f313(f223(a1),x73801),f2(a1)))+P1(f313(f313(f223(a1),f313(f313(f29(a1),x73801),x73802)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x73802))
% 119.46/119.25 [7381]~P1(f313(f313(f223(a1),x73811),f2(a1)))+P1(f313(f313(f223(a1),f313(f313(f29(a1),x73811),x73812)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x73812))
% 119.46/119.25 [7389]P1(f313(f313(f315(f890(x73891,a881)),f605(x73892,x73891)),x73892))+~P1(f313(f54(f890(x73891,a881)),x73892))+P1(f313(f54(x73891),f30(f890(x73891,a881),x73892)))
% 119.46/119.25 [7482]P24(x74821,x74821,x74822,f230(f890(x74821,a881)))+~E(f313(f296(x74821,x74821,x74822),f230(f890(x74821,a881))),f230(f890(x74821,a881)))+~P1(f313(f54(x74821),f230(f890(x74821,a881))))
% 119.46/119.25 [7606]~P24(x76061,x76061,x76062,f230(f890(x76061,a881)))+E(f313(f296(x76061,x76061,x76062),f230(f890(x76061,a881))),f230(f890(x76061,a881)))+~P1(f313(f54(x76061),f230(f890(x76061,a881))))
% 119.46/119.25 [7629]E(f40(f313(f95(a1),x76291),f313(f95(a1),x76292)),f313(f313(f240(a1,a1),f2(a1)),f313(f95(a1),x76291)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x76292)))+~P1(f313(f313(f223(a1),f313(f95(a1),x76291)),f313(f95(a1),x76292)))
% 119.46/119.25 [7746]E(f313(f313(f29(a1),x77461),x77462),f313(f95(a1),a88))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x77461),x77462)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x77461))
% 119.46/119.25 [7804]~P1(f313(f313(f223(a1),x78042),f2(a1)))+~P1(f313(f313(f223(a1),f313(f313(f29(a1),x78041),x78042)),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x78041))
% 119.46/119.25 [7809]E(f313(f313(f73(a1),x78091),x78092),f38(a1,x78091,x78092))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),x78091),x78092)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x78091))
% 119.46/119.25 [7812]P1(f313(f313(f223(a1),x78121),f2(a1)))+~P1(f313(f313(f223(a1),f313(f313(f29(a1),x78121),x78122)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x78122))
% 119.46/119.25 [8064]~P3(x80641)+P48(a883,x80641,f273(a883),x80642)+~P1(f313(f313(f222(x80641),f313(x80642,f857(x80642,x80641))),f313(x80642,f863(x80642,x80641))))
% 119.46/119.25 [8505]~P4(x85051)+P13(x85051,x85052)+~P1(f313(f313(f222(x85051),f313(f313(f152(x85051),x85052),f723(x85052,x85051))),f313(f313(f152(x85051),x85052),f724(x85052,x85051))))
% 119.46/119.25 [8506]~P4(x85061)+P13(x85061,x85062)+~P1(f313(f313(f222(x85061),f313(f313(f152(x85061),x85062),f731(x85062,x85061))),f313(f313(f152(x85061),x85062),f735(x85062,x85061))))
% 119.46/119.25 [5662]E(x56621,f2(a1))+~E(f38(a1,x56622,x56621),f2(a1))+E(f313(f313(f29(a1),x56622),f313(f72(a1),x56621)),f313(f72(a1),f313(f313(f29(a1),x56622),x56621)))
% 119.46/119.25 [5680]~P40(x56802)+~P40(x56801)+P40(f313(f313(f92(f890(a1,a881)),x56801),x56802))
% 119.46/119.25 [5681]~P40(x56812)+~P40(x56811)+P40(f313(f313(f93(f890(a1,a881)),x56811),x56812))
% 119.46/119.25 [5699]~P98(x56991)+~P70(x56991)+E(f313(f72(x56991),f313(f313(f277(x56991),f71(x56991)),x56992)),f313(f313(f277(x56991),f313(f95(x56991),a88)),x56992))
% 119.46/119.25 [5827]E(x58271,f2(a1))+~E(f38(a1,x58272,x58271),f2(a1))+E(f313(f313(f29(a1),f313(f72(a1),x58272)),x58271),f313(f72(a1),f313(f313(f29(a1),x58272),x58271)))
% 119.46/119.25 [5966]~P4(x59661)+P13(x59661,x59662)+P1(f313(f313(f223(a883),f724(x59662,x59661)),f313(f179(f885(x59661)),x59662)))
% 119.46/119.25 [5967]~P4(x59671)+P13(x59671,x59672)+P1(f313(f313(f223(a883),f735(x59672,x59671)),f313(f179(f885(x59671)),x59672)))
% 119.46/119.25 [6133]~P98(x61331)+~E(f313(f95(x61331),x61332),f2(x61331))+P28(x61331,f313(f95(x61331),f313(f313(f73(a1),x61332),f313(f72(a1),a76))))
% 119.46/119.25 [6134]~P98(x61341)+~E(f313(f95(x61341),x61342),f2(x61341))+P28(x61341,f313(f95(x61341),f313(f313(f73(a1),a76),f313(f72(a1),x61342))))
% 119.46/119.25 [6136]E(f313(a44,f40(f313(f72(a1),x61361),f313(f72(a1),x61362))),f39(x61361,x61362))+P1(f313(f313(f222(a1),f2(a1)),x61361))+P1(f313(f313(f223(a1),f2(a1)),x61362))
% 119.46/119.25 [6268]~E(x62682,f2(a883))+~E(x62681,f2(a883))+P1(f313(f313(f222(a1),f313(f91(a1),x62681)),f313(f72(a1),f313(f91(a1),x62682))))
% 119.46/119.25 [6297]E(f313(f313(f73(a883),f313(f95(a883),x62971)),f313(f95(a883),x62972)),f313(f95(a883),f313(f313(f73(a1),x62971),x62972)))+P1(f313(f313(f223(a1),x62971),a76))+P1(f313(f313(f223(a1),x62972),a76))
% 119.46/119.25 [6442]~P82(x64421)+~P1(f313(f313(f222(x64421),f2(x64421)),x64422))+P1(f313(f313(f222(x64421),f313(f72(x64421),x64422)),x64422))
% 119.46/119.25 [6443]~P82(x64431)+~P1(f313(f313(f223(x64431),f2(x64431)),x64432))+P1(f313(f313(f223(x64431),f313(f72(x64431),x64432)),x64432))
% 119.46/119.25 [6631]E(f313(f313(f3(a883),f313(a96,x66311)),f313(a96,x66312)),f313(a96,f313(f313(f3(a1),x66311),x66312)))+~P1(f313(f313(f222(a1),f2(a1)),x66312))+~P1(f313(f313(f222(a1),x66312),x66311))
% 119.46/119.25 [6669]E(f313(a96,f38(a1,f313(f95(a1),x66691),f313(f95(a1),x66692))),f38(a883,f313(f95(a883),x66691),f313(f95(a883),x66692)))+P1(f313(a183,f313(f95(a1),x66691)))+P1(f313(a183,f313(f95(a1),x66692)))
% 119.46/119.25 [6688]~P82(x66881)+P1(f313(f313(f222(x66881),f2(x66881)),x66882))+~P1(f313(f313(f222(x66881),f313(f72(x66881),x66882)),x66882))
% 119.46/119.25 [6689]~P82(x66891)+P1(f313(f313(f223(x66891),f2(x66891)),x66892))+~P1(f313(f313(f223(x66891),f313(f72(x66891),x66892)),x66892))
% 119.46/119.25 [6702]~P82(x67021)+~P1(f313(f313(f222(x67021),f2(x67021)),x67022))+P1(f313(f313(f222(x67021),f2(x67021)),f313(f313(f73(x67021),x67022),x67022)))
% 119.46/119.25 [6705]~P82(x67051)+~P1(f313(f313(f223(x67051),f2(x67051)),x67052))+P1(f313(f313(f223(x67051),f2(x67051)),f313(f313(f73(x67051),x67052),x67052)))
% 119.46/119.25 [6714]E(f313(f313(f73(a883),f313(a96,x67141)),f313(a96,x67142)),f313(a96,f313(f313(f73(a1),x67141),x67142)))+~P1(f313(f313(f222(a1),f2(a1)),x67142))+~P1(f313(f313(f222(a1),f2(a1)),x67141))
% 119.46/119.25 [6715]E(f313(f313(f74(a883),f313(a96,x67151)),f313(a96,x67152)),f313(a96,f313(f313(f74(a1),x67151),x67152)))+~P1(f313(f313(f222(a1),f2(a1)),x67152))+~P1(f313(f313(f222(a1),f2(a1)),x67151))
% 119.46/119.25 [6716]E(f313(f313(f73(a883),f313(a96,x67161)),f313(a96,x67162)),f313(a96,f313(f313(f73(a1),x67161),x67162)))+~P1(f313(f313(f222(a1),f2(a1)),x67162))+~P1(f313(f313(f222(a1),f2(a1)),x67161))
% 119.46/119.25 [6717]E(f313(f313(f29(a883),f313(a96,x67171)),f313(a96,x67172)),f313(a96,f313(f313(f29(a1),x67171),x67172)))+~P1(f313(f313(f222(a1),f2(a1)),x67172))+~P1(f313(f313(f222(a1),f2(a1)),x67171))
% 119.46/119.25 [6727]E(x67271,f2(a883))+P1(f313(f313(f223(a883),f2(a883)),x67272))+~P1(f313(f313(f223(a883),f2(a883)),f313(f313(f232(a883),x67272),x67271)))
% 119.46/119.25 [6764]~P98(x67641)+E(f313(f95(x67641),x67642),f2(x67641))+~P28(x67641,f313(f95(x67641),f313(f313(f73(a1),a76),f313(f72(a1),x67642))))
% 119.46/119.25 [6765]~P98(x67651)+E(f313(f95(x67651),x67652),f2(x67651))+~P28(x67651,f313(f95(x67651),f313(f313(f73(a1),x67652),f313(f72(a1),a76))))
% 119.46/119.25 [6824]~P1(f313(f54(x68241),x68242))+~P1(f313(f54(x68241),f230(f890(x68241,a881))))+P1(f313(f54(x68241),f313(f72(f890(x68241,a881)),x68242)))
% 119.46/119.25 [6849]~P1(f313(f313(f223(a1),f2(a1)),x68492))+~P1(f313(f313(f222(a1),x68492),x68491))+P1(f313(f313(f223(a1),f2(a1)),f313(f313(f29(a1),x68491),x68492)))
% 119.46/119.25 [6850]~P1(f313(f313(f222(a1),x68501),f2(a1)))+~P1(f313(f313(f223(a1),x68502),f2(a1)))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f29(a1),x68501),x68502)))
% 119.46/119.25 [6891]~P1(f313(f313(f222(a1),f2(a1)),x68912))+~P1(f313(f313(f222(a1),f2(a1)),x68911))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f74(a1),x68911),x68912)))
% 119.46/119.25 [6892]~P1(f313(f313(f222(a1),f2(a1)),x68922))+~P1(f313(f313(f222(a1),f2(a1)),x68921))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x68921),x68922)))
% 119.46/119.25 [6893]~P1(f313(f313(f222(a1),f2(a1)),x68932))+~P1(f313(f313(f222(a1),f2(a1)),x68931))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f29(a1),x68931),x68932)))
% 119.46/119.25 [6894]~P1(f313(f313(f222(a1),f2(a1)),x68941))+~P1(f313(f313(f223(a1),f2(a1)),x68942))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f29(a1),x68941),x68942)))
% 119.46/119.25 [6895]~P1(f313(f313(f223(a883),f2(a883)),x68952))+~P1(f313(f313(f223(a883),f2(a883)),x68951))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f74(a883),x68951),x68952)))
% 119.46/119.25 [6965]E(x69651,f2(a1))+E(f38(a1,x69652,x69651),f2(a1))+E(f313(f313(f3(a1),f313(f72(a1),f313(f313(f29(a1),x69652),x69651))),f71(a1)),f313(f313(f29(a1),f313(f72(a1),x69652)),x69651))
% 119.46/119.25 [7023]P1(f313(f313(f223(a883),f2(a883)),x70231))+P1(f313(f313(f223(a883),f2(a883)),x70232))+~P1(f313(f313(f223(a883),f2(a883)),f313(f313(f73(a883),x70232),x70231)))
% 119.46/119.25 [7027]~P82(x70271)+P1(f313(f313(f222(x70271),f2(x70271)),x70272))+~P1(f313(f313(f222(x70271),f2(x70271)),f313(f313(f73(x70271),x70272),x70272)))
% 119.46/119.25 [7028]~P82(x70281)+P1(f313(f313(f223(x70281),f2(x70281)),x70282))+~P1(f313(f313(f223(x70281),f2(x70281)),f313(f313(f73(x70281),x70282),x70282)))
% 119.46/119.25 [7079]~P1(f313(f54(x70791),x70792))+P1(f313(f54(x70791),f230(f890(x70791,a881))))+~P1(f313(f54(x70791),f313(f72(f890(x70791,a881)),x70792)))
% 119.46/119.25 [7144]P1(f313(f313(f222(a1),x71441),f2(a1)))+~P1(f313(f313(f223(a1),x71442),f2(a1)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f29(a1),x71441),x71442)))
% 119.46/119.25 [7150]~P1(f313(f313(f223(a1),f2(a1)),x71501))+P1(f313(f313(f222(a1),x71501),x71502))+~P1(f313(f313(f223(a1),f2(a1)),f313(f313(f29(a1),x71502),x71501)))
% 119.46/119.25 [7151]~P1(f313(f313(f222(a1),f2(a1)),x71512))+P1(f313(f313(f222(a1),x71511),x71512))+~P1(f313(f313(f223(a1),f2(a1)),f313(f313(f29(a1),x71512),x71511)))
% 119.46/119.25 [7182]P1(f313(f313(f222(a1),f2(a1)),x71821))+~P1(f313(f313(f223(a1),f2(a1)),x71822))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f29(a1),x71821),x71822)))
% 119.46/119.25 [7183]P1(f313(f313(f223(a1),f2(a1)),x71831))+~P1(f313(f313(f222(a1),f2(a1)),x71832))+~P1(f313(f313(f223(a1),f2(a1)),f313(f313(f29(a1),x71832),x71831)))
% 119.46/119.25 [7285]E(f206(x72851,x72852),x72851)+~E(x72852,f2(a883))+~P1(f313(f301(f889(a883,a883),a209),f313(f313(f240(a883,a883),x72851),x72852)))
% 119.46/119.25 [7501]E(f166(x75011,x75012),f104(a1))+P1(f313(f313(f222(a1),x75011),x75012))+~P1(f313(f301(f889(a1,a1),a170),f313(f313(f240(a1,a1),x75011),x75012)))
% 119.46/119.25 [7522]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),x75221),x75222)),f43(x75221,x75222))+~P1(f313(f313(f223(a1),f2(a1)),x75222))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x75221),x75222)))
% 119.46/119.25 [7553]E(x75531,f2(a883))+E(f206(x75531,f38(a883,x75532,x75531)),f206(x75532,x75531))+~P1(f313(f301(f889(a883,a883),a209),f313(f313(f240(a883,a883),x75532),x75531)))
% 119.46/119.25 [7608]E(f117(x76081,x76082),f106(a1))+~P1(f313(f313(f223(a1),x76081),x76082))+~P1(f313(f301(f889(a1,a1),a121),f313(f313(f240(a1,a1),x76081),x76082)))
% 119.46/119.25 [7637]~P1(f313(f54(x76372),f230(f890(x76372,a881))))+~P1(f313(f54(x76371),f230(f890(x76371,a881))))+P1(f313(f54(f889(x76371,x76372)),f230(f890(f889(x76371,x76372),a881))))
% 119.46/119.25 [7638]~P1(f313(f54(x76382),f230(f890(x76382,a881))))+~P1(f313(f54(x76381),f230(f890(x76381,a881))))+P1(f313(f54(f891(x76381,x76382)),f230(f890(f891(x76381,x76382),a881))))
% 119.46/119.25 [7710]~P1(f313(f313(f223(a883),f313(a103,f2(a883))),x77101))+~P1(f313(f313(f223(a883),f313(a103,f2(a883))),x77102))+P1(f313(f313(f223(a883),x77101),f313(f313(f74(a883),x77102),x77101)))
% 119.46/119.25 [7711]~P1(f313(f313(f223(a883),f313(a103,f2(a883))),x77111))+~P1(f313(f313(f223(a883),f313(a103,f2(a883))),x77112))+P1(f313(f313(f223(a883),x77111),f313(f313(f74(a883),x77111),x77112)))
% 119.46/119.25 [7745]E(f313(f28(x77451),f230(f890(x77451,a881))),f313(a103,f2(a883)))+P1(f313(f54(x77452),f230(f890(x77452,a881))))+~P1(f313(f54(f890(x77452,x77451)),f230(f890(f890(x77452,x77451),a881))))
% 119.46/119.25 [7797]E(f40(x77971,x77972),f313(f313(f240(a1,a1),f2(a1)),x77971))+~P1(f313(f313(f223(a1),x77971),x77972))+~P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),x77971),x77972)))
% 119.46/119.25 [7801]E(f205(f313(f72(a1),x78011),f313(f72(a1),x78012)),f205(x78011,x78012))+~P1(f313(f313(f223(a1),x78012),f2(a1)))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x78011),x78012)))
% 119.46/119.25 [7822]E(f40(x78221,x78222),f313(f313(f240(a1,a1),f2(a1)),x78221))+~P1(f313(f313(f222(a1),x78222),f2(a1)))+~P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),x78221),x78222)))
% 119.46/119.25 [7873]~P1(f313(f313(f222(a883),f313(a103,f2(a883))),x78731))+~P1(f313(f313(f222(a883),f313(a103,f2(a883))),x78732))+P1(f313(f313(f222(a883),f313(a103,f2(a883))),f313(f313(f74(a883),x78731),x78732)))
% 119.46/119.25 [7874]~P1(f313(f313(f223(a883),f313(a103,f2(a883))),x78742))+~P1(f313(f313(f223(a883),f313(a103,f2(a883))),x78741))+P1(f313(f313(f223(a883),f313(a103,f2(a883))),f313(f313(f74(a883),x78741),x78742)))
% 119.46/119.25 [8035]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),x80351),x80352)),f43(x80351,x80352))+~P1(f313(f313(f222(a1),x80352),f2(a1)))+~P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),x80351),x80352)))
% 119.46/119.25 [8058]E(f107(a1,f313(f118(a1),x80581),f117(x80582,f313(f313(f73(a1),x80581),f71(a1)))),f117(x80582,x80581))+P1(f313(f313(f223(a1),x80582),x80581))+~P1(f313(f301(f889(a1,a1),a121),f313(f313(f240(a1,a1),x80582),x80581)))
% 119.46/119.25 [8072]E(f313(f313(f139(a1),x80721),f166(f313(f313(f73(a1),x80721),f71(a1)),x80722)),f166(x80721,x80722))+~P1(f313(f313(f222(a1),x80721),x80722))+~P1(f313(f301(f889(a1,a1),a170),f313(f313(f240(a1,a1),x80721),x80722)))
% 119.46/119.25 [8218]~P3(x82181)+P39(a883,x82181,x82182)+~P1(f313(f313(f222(x82181),f313(x82182,f841(x82182,x82181))),f313(x82182,f313(a103,f841(x82182,x82181)))))
% 119.46/119.25 [8352]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),x83521),x83522)),f43(x83521,x83522))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x83521),x83522)))+~P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),x83521),x83522)))
% 119.46/119.25 [8554]E(x85541,f104(x85542))+~P1(f313(f125(x85542),x85541))+E(f165(x85542,f313(f313(f10(a881,a881,x85542),a308),f313(f313(f9(x85542,x85542,a881),a310),f132(x85542,x85541))),x85541),f105(x85542,x85541))
% 119.46/119.25 [8626]E(f313(f313(f240(a1,a1),f313(f95(a1),a88)),f313(f313(f73(a1),f313(f95(a1),x86261)),f313(f95(a1),x86262))),f43(f313(f95(a1),x86261),f313(f95(a1),x86262)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x86262)))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f313(f95(a1),x86261)),f313(f95(a1),x86262))))
% 119.46/119.25 [8649]~P40(x86492)+~P40(x86491)+E(f313(f296(a883,a1,f91(a1)),f313(f313(f92(f890(a883,a881)),f313(f296(a1,a883,a96),x86491)),f313(f296(a1,a883,a96),x86492))),f313(f313(f92(f890(a1,a881)),x86491),x86492))
% 119.46/119.25 [8650]~P40(x86502)+~P40(x86501)+E(f313(f296(a883,a1,f91(a1)),f313(f313(f93(f890(a883,a881)),f313(f296(a1,a883,a96),x86501)),f313(f296(a1,a883,a96),x86502))),f313(f313(f93(f890(a1,a881)),x86501),x86502))
% 119.46/119.25 [9289]~P98(x92891)+~E(f313(f95(x92891),x92892),f71(x92891))+P28(x92891,f313(f95(x92891),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f72(a1),x92892))))
% 119.46/119.25 [9538]~P98(x95381)+E(f313(f95(x95381),x95382),f71(x95381))+~P28(x95381,f313(f95(x95381),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f72(a1),x95382))))
% 119.46/119.25 [9982]~P3(x99822)+P49(a883,x99822,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99821)+P1(f313(f313(f273(a883),f861(x99821,x99822)),f862(x99821,x99822)))
% 119.46/119.25 [9985]~P3(x99851)+P49(a883,x99851,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99852)+~P1(f313(f313(f273(a883),f862(x99852,x99851)),f861(x99852,x99851)))
% 119.46/119.25 [9986]~P3(x99861)+P49(a883,x99861,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x99862)+~P1(f313(f313(f223(x99861),f313(x99862,f861(x99862,x99861))),f313(x99862,f862(x99862,x99861))))
% 119.46/119.25 [10076]~P3(x100761)+P48(a883,x100761,f273(a883),x100762)+~P49(a883,x100761,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x100762)
% 119.46/119.25 [10290]E(x102901,f2(a1))+E(x102902,f2(a1))+E(f313(f246(a1,a1,a1,a1,f25(a1),f313(f74(a1),f75(a1,x102902))),f313(f313(f313(f84(f889(a1,a1)),f313(f313(a310,f75(a1,x102901)),f75(a1,x102902))),f46(x102901,x102902)),f313(f313(f245(a1,a1,f889(a1,a1)),f313(f313(f20(a1,f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),f313(f313(f10(f890(a1,f890(f889(a1,a1),f889(a1,a1))),f890(f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),a1),f20(a1,f889(a1,a1),f889(a1,a1))),f313(f313(f10(f889(a1,a1),f890(a1,f890(f889(a1,a1),f889(a1,a1))),a1),f313(f9(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f313(f313(f10(a881,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f84(f889(a1,a1))),f313(f313(f9(a1,a1,a881),a310),f2(a1))))),f313(f313(f9(a1,a1,f889(a1,a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f72(a1))),f2(a1))))),f313(f313(f9(a1,f890(a1,a1),f890(a1,f889(a1,a1))),f313(f313(f10(f890(a1,f889(a1,a1)),f890(f890(a1,a1),f890(a1,f889(a1,a1))),a1),f10(a1,f889(a1,a1),a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f313(f313(f9(a1,a1,a1),f313(f313(f10(a1,f890(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f313(f3(a1),f313(f69(a1),x102902))))),f46(x102901,x102902)))),f39(x102901,x102902))
% 119.46/119.25 [10291]E(x102911,f2(a1))+E(x102912,f2(a1))+E(f313(f246(a1,a1,a1,a1,f25(a1),f313(f74(a1),f75(a1,x102912))),f313(f313(f313(f84(f889(a1,a1)),f313(f313(a312,f313(f313(a311,f313(f313(f223(a1),f2(a1)),x102912)),f313(f313(f222(a1),f2(a1)),x102911))),f313(f313(a311,f313(f313(f223(a1),x102912),f2(a1))),f313(f313(f223(a1),x102911),f2(a1))))),f46(x102911,x102912)),f313(f313(f245(a1,a1,f889(a1,a1)),f313(f313(f20(a1,f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),f313(f313(f10(f890(a1,f890(f889(a1,a1),f889(a1,a1))),f890(f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),a1),f20(a1,f889(a1,a1),f889(a1,a1))),f313(f313(f10(f889(a1,a1),f890(a1,f890(f889(a1,a1),f889(a1,a1))),a1),f313(f9(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f313(f313(f10(a881,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f84(f889(a1,a1))),f313(f313(f9(a1,a1,a881),a310),f2(a1))))),f313(f313(f9(a1,a1,f889(a1,a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f72(a1))),f2(a1))))),f313(f313(f9(a1,f890(a1,a1),f890(a1,f889(a1,a1))),f313(f313(f10(f890(a1,f889(a1,a1)),f890(f890(a1,a1),f890(a1,f889(a1,a1))),a1),f10(a1,f889(a1,a1),a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f313(f313(f9(a1,a1,a1),f313(f313(f10(a1,f890(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f313(f3(a1),f313(f69(a1),x102912))))),f46(x102911,x102912)))),f39(x102911,x102912))
% 119.46/119.25 [5688]~P115(x56881)+~P98(x56881)+E(f313(f69(x56881),f313(f313(f232(x56881),f313(f95(x56881),a88)),x56882)),f71(x56881))
% 119.46/119.25 [6208]~P144(x62081)+~P1(f313(f313(f223(a1),x62082),f2(a1)))+E(f313(f72(x62081),f313(f91(x62081),f313(a96,f313(f72(a1),x62082)))),f313(f94(x62081),x62082))
% 119.46/119.25 [6426]P1(f313(f313(f222(a90),x64261),f71(a90)))+E(f313(f313(f73(a90),f71(a90)),f258(x64261,f313(f313(f29(a90),x64262),x64261))),f258(x64261,x64262))+P1(f313(f313(f223(a90),x64262),x64261))
% 119.46/119.25 [6501]E(x65011,f2(a1))+~E(f313(f69(a1),x65012),f71(a1))+P1(f313(f313(f273(a1),f313(f313(f74(a1),x65011),x65012)),x65011))
% 119.46/119.25 [6932]~E(x69322,f71(a883))+~P1(f313(f313(f223(a883),f2(a883)),x69321))+P1(f313(f313(f273(a883),f313(f313(f74(a883),x69321),x69322)),x69321))
% 119.46/119.25 [6933]~E(x69331,f71(a883))+~P1(f313(f313(f223(a883),f2(a883)),x69332))+P1(f313(f313(f273(a883),f313(f313(f74(a883),x69331),x69332)),x69332))
% 119.46/119.25 [7069]~P97(x70691)+~P1(f313(f313(f315(x70691),x70692),f101(x70691)))+~E(f313(f313(f73(x70691),f313(f313(f73(x70691),f71(x70691)),x70692)),x70692),f2(x70691))
% 119.46/119.25 [7184]~P1(f313(f313(f222(a1),x71842),f2(a1)))+~P1(f313(f313(f223(a1),x71841),f2(a1)))+E(f313(f239(a1,a1),f313(a44,f40(f313(f72(a1),x71841),f313(f72(a1),x71842)))),f313(f313(f29(a1),x71841),x71842))
% 119.46/119.25 [7201]~P1(f313(f313(f222(a1),x72012),f2(a1)))+~P1(f313(f313(f223(a1),x72011),f2(a1)))+E(f313(f244(a1,a1),f313(a44,f40(f313(f72(a1),x72011),f313(f72(a1),x72012)))),f38(a1,x72011,x72012))
% 119.46/119.25 [7209]~P1(f313(f313(f223(a1),x72092),f2(a1)))+E(f313(f239(a1,a1),f313(a44,f43(f313(f72(a1),x72091),f313(f72(a1),x72092)))),f313(f313(f29(a1),x72091),x72092))+~P1(f313(f313(f223(a1),f2(a1)),x72091))
% 119.46/119.25 [7213]E(x72131,f2(a1))+E(f313(f69(a1),x72132),f71(a1))+~P1(f313(f313(f273(a1),f313(f313(f74(a1),x72131),x72132)),x72131))
% 119.46/119.25 [7228]~P1(f313(f313(f223(a1),x72282),f2(a1)))+E(f313(f244(a1,a1),f313(a44,f43(f313(f72(a1),x72281),f313(f72(a1),x72282)))),f38(a1,x72281,x72282))+~P1(f313(f313(f223(a1),f2(a1)),x72281))
% 119.46/119.25 [7279]E(f313(f313(f29(a1),f313(f313(f232(a1),x72791),x72792)),x72791),f313(f313(f232(a1),x72791),f313(f313(f3(a883),x72792),f313(a103,f2(a883)))))+~P1(f313(f313(f223(a883),f2(a883)),x72792))+~P1(f313(f313(f223(a1),f2(a1)),x72791))
% 119.46/119.25 [7385]~P1(f313(f313(f223(a883),f2(a883)),x73851))+~P1(f313(f313(f223(a883),f2(a883)),x73852))+P1(f313(f313(f223(a883),f313(f313(f3(a883),x73851),x73852)),x73851))
% 119.46/119.25 [7386]~P1(f313(f313(f223(a883),f2(a883)),x73861))+~P1(f313(f313(f223(a883),f71(a883)),x73862))+P1(f313(f313(f223(a883),f313(f313(f29(a883),x73861),x73862)),x73861))
% 119.46/119.25 [7387]~P1(f313(f313(f223(a1),f2(a1)),x73871))+~P1(f313(f313(f223(a1),f71(a1)),x73872))+P1(f313(f313(f223(a1),f313(f313(f29(a1),x73871),x73872)),x73871))
% 119.46/119.25 [7528]E(x75281,f2(a883))+~E(x75282,f2(a1))+~P1(f313(f313(f223(a1),f2(a1)),f313(f313(f232(a1),f313(f69(a1),x75282)),x75281)))
% 119.46/119.25 [7570]E(x75701,f71(a883))+~P1(f313(f313(f223(a883),f2(a883)),x75702))+~P1(f313(f313(f273(a883),f313(f313(f74(a883),x75702),x75701)),x75702))
% 119.46/119.25 [7571]E(x75711,f71(a883))+~P1(f313(f313(f223(a883),f2(a883)),x75712))+~P1(f313(f313(f273(a883),f313(f313(f74(a883),x75711),x75712)),x75712))
% 119.46/119.25 [7904]~P1(f313(x79041,x79042))+P1(f313(x79041,f2(a883)))+E(f313(a103,f226(a883,f313(f313(f10(a883,a881,a883),x79041),a103))),f226(a883,x79041))
% 119.46/119.25 [7952]~E(x79522,f104(f885(x79521)))+E(f313(f179(f885(f885(x79521))),f167(x79521,x79522)),f2(a883))+~P13(a883,f313(f156(a883),f313(f313(f142(f885(x79521),a883),f179(f885(x79521))),x79522)))
% 119.46/119.25 [8205]P1(f313(x82051,x82052))+~P1(f313(x82051,f313(a98,f533(x82051,x82052))))+~P1(f313(f313(f315(f890(f889(a883,a883),a881)),x82052),a89))
% 119.46/119.25 [8222]E(x82221,f104(f885(x82222)))+E(f313(f179(f885(x82222)),f313(f313(f152(f885(x82222)),x82221),f2(a883))),f313(f179(f885(f885(x82222))),f167(x82222,x82221)))+~P13(a883,f313(f156(a883),f313(f313(f142(f885(x82222),a883),f179(f885(x82222))),x82221)))
% 119.46/119.25 [8361]~P37(x83611,x83612)+~P38(x83611,x83612)+P37(x83611,f313(f313(f3(f890(f889(x83611,x83611),a881)),x83612),f293(x83611,f178(f890(f889(x83611,x83611),a881)))))
% 119.46/119.25 [8910]~P1(f313(f54(x89101),f313(f250(x89101),x89102)))+~P1(f313(f54(x89101),f230(f890(x89101,a881))))+P1(f313(f54(x89101),f313(f250(x89101),f313(f313(f10(a881,a881,x89101),a308),x89102))))
% 119.46/119.25 [8976]E(f313(f313(f240(a883,a883),f313(a103,f313(f313(f29(a883),f313(f313(f3(a883),x89761),x89762)),x89762))),f38(a883,f313(f313(f3(a883),x89761),x89762),x89762)),f78(f889(a883,a883),f41(x89761,x89762)))+~P1(f313(f313(f223(a883),f2(a883)),x89762))+~P1(f313(f313(f222(a883),x89762),x89761))
% 119.46/119.25 [9257]~P1(f313(f54(x92571),f313(f250(x92571),x92572)))+P1(f313(f54(x92571),f230(f890(x92571,a881))))+~P1(f313(f54(x92571),f313(f250(x92571),f313(f313(f10(a881,a881,x92571),a308),x92572))))
% 119.46/119.25 [9979]P25(x99791,x99792)+~P36(x99791,f313(f239(f890(f889(x99791,x99791),a881),f890(f889(x99791,x99791),a881)),x99792))+~P1(f313(f313(f222(f890(f889(x99791,x99791),a881)),f313(f313(f275(x99791,x99791,x99791),f313(f239(f890(f889(x99791,x99791),a881),f890(f889(x99791,x99791),a881)),x99792)),f313(f244(f890(f889(x99791,x99791),a881),f890(f889(x99791,x99791),a881)),x99792))),f313(f239(f890(f889(x99791,x99791),a881),f890(f889(x99791,x99791),a881)),x99792)))
% 119.46/119.25 [10026]E(f313(f36(f313(f95(a1),x100261)),f40(f313(f95(a1),x100262),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f95(a1),x100261)))),f40(f313(f95(a1),x100262),f313(f95(a1),x100261)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x100261)))+P1(f313(f313(f223(a1),f313(f95(a1),x100262)),f313(f95(a1),x100261)))
% 119.46/119.25 [10032]E(f313(f36(f313(f95(a1),x100321)),f43(f313(f95(a1),x100322),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f95(a1),x100321)))),f43(f313(f95(a1),x100322),f313(f95(a1),x100321)))+~P1(f313(f313(f223(a1),f2(a1)),f313(f95(a1),x100321)))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f313(f95(a1),x100322)),f313(f95(a1),x100321))))
% 119.46/119.25 [10078]~E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x100782,x100781),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x100782),x100781))+P1(f313(f313(f273(a883),x100781),x100782))
% 119.46/119.25 [10079]~E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x100792,x100791),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x100792),x100791))+P1(f313(f313(f273(a883),x100791),x100792))
% 119.46/119.25 [10080]~E(f283(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x100802,x100801),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x100802),x100801))+P1(f313(f313(f273(a883),x100801),x100802))
% 119.46/119.25 [10081]~E(f286(a883,f273(a883),f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x100812,x100811),f178(f890(a883,a881)))+~P1(f313(f313(f273(a883),x100812),x100811))+P1(f313(f313(f273(a883),x100811),x100812))
% 119.46/119.25 [7308]~P1(f313(f313(f223(a883),f2(a883)),x73082))+P1(f313(f313(f223(a883),x73081),x73082))+E(f313(a103,f313(f313(f29(a883),f313(f313(f3(a883),x73081),x73082)),x73082)),f313(f313(f29(a883),x73081),x73082))
% 119.46/119.25 [7309]~P1(f313(f313(f223(a883),f2(a883)),x73092))+P1(f313(f313(f223(a883),x73091),x73092))+E(f313(a103,f313(f313(f29(a883),f313(f313(f3(a883),x73091),x73092)),x73092)),f313(f313(f29(a883),x73091),x73092))
% 119.46/119.25 [7455]~P1(f313(f313(f223(a883),f2(a883)),x74552))+~P1(f313(f313(f222(a883),x74552),x74551))+E(f313(a103,f313(f313(f29(a883),f313(f313(f3(a883),x74551),x74552)),x74552)),f313(f313(f29(a883),x74551),x74552))
% 119.46/119.25 [8423]~P98(x84231)+~P97(x84231)+~P28(x84231,f313(f95(x84231),f313(f313(f3(a1),f313(f313(f73(a1),x84232),x84232)),a88)))
% 119.46/119.25 [9164]E(x91641,f2(a883))+E(f313(f313(f245(a883,a883,f889(a883,a883)),f313(f313(f10(a883,f890(a883,f889(a883,a883)),a883),f240(a883,a883)),a103)),f78(f889(a883,a883),f41(f313(f313(f3(a883),x91642),x91641),x91641))),f78(f889(a883,a883),f41(x91642,x91641)))+P1(f313(f313(f223(a883),x91642),x91641))
% 119.46/119.25 [9342]~P37(x93421,x93422)+~P54(x93421,x93422)+P1(f313(f313(f222(f890(f889(x93421,x93421),a881)),f313(f313(f275(x93421,x93421,x93421),f313(f272(x93421,x93421),x93422)),x93422)),x93422))
% 119.46/119.25 [9596]P1(f313(x95962,f654(x95962,x95961)))+P1(f313(x95961,f654(x95962,x95961)))+E(f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x95961)),f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x95962)))
% 119.46/119.25 [9600]~P1(f313(x96002,f654(x96002,x96001)))+~P1(f313(x96001,f654(x96002,x96001)))+E(f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x96001)),f313(f250(a1),f313(f313(f20(a1,a881,a881),f313(f313(f10(a881,f890(a881,a881),a1),a311),f313(f222(a1),f2(a1)))),x96002)))
% 119.46/119.25 [10160]~P1(f313(f313(f273(a883),x101602),x101601))+P1(f313(f313(f273(a883),x101601),x101602))+P1(f313(f313(f315(a883),x101601),f281(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x101602)))
% 119.46/119.25 [10161]~P1(f313(f313(f273(a883),x101612),x101611))+P1(f313(f313(f273(a883),x101611),x101612))+P1(f313(f313(f315(a883),x101612),f284(a883,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x101611)))
% 119.46/119.25 [7667]~P98(x76671)+~P71(x76671)+E(f313(f313(f277(x76671),x76672),f313(f95(x76671),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),x76672)
% 119.46/119.25 [7668]~P98(x76681)+~P71(x76681)+E(f313(f313(f277(x76681),x76682),f313(f95(x76681),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))),x76682)
% 119.46/119.25 [9288]~P98(x92881)+~E(f313(f95(x92881),x92882),f71(x92881))+P28(x92881,f313(f95(x92881),f313(f313(f73(a1),x92882),f313(f72(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.25 [9472]~P138(x94721)+~E(x94722,f2(x94721))+E(f313(f313(f232(x94721),x94722),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f2(x94721))
% 119.46/119.25 [9473]~P138(x94731)+~E(x94732,f71(x94731))+E(f313(f313(f232(x94731),x94732),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f71(x94731))
% 119.46/119.25 [9488]~P138(x94881)+~E(x94882,f313(f72(x94881),f71(x94881)))+E(f313(f313(f232(x94881),x94882),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f71(x94881))
% 119.46/119.25 [9512]~P80(x95121)+~P99(x95121)+E(f313(f313(f232(x95121),f313(f95(x95121),x95122)),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f74(x95121),f313(f95(x95121),x95122)),f313(f95(x95121),x95122)))
% 119.46/119.25 [9539]~P98(x95391)+E(f313(f95(x95391),x95392),f71(x95391))+~P28(x95391,f313(f95(x95391),f313(f313(f73(a1),x95392),f313(f72(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.25 [9651]~P138(x96512)+E(x96511,f2(x96512))+~E(f313(f313(f232(x96512),x96511),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f2(x96512))
% 119.46/119.25 [9923]~P115(x99232)+E(x99231,f2(x99232))+P1(f313(f313(f223(x99232),f2(x99232)),f313(f313(f232(x99232),x99231),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.25 [9978]~P115(x99782)+~E(x99781,f2(x99782))+~P1(f313(f313(f223(x99782),f2(x99782)),f313(f313(f232(x99782),x99781),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.25 [10017]P1(f313(f313(f222(a1),x100171),f2(a1)))+P1(f313(f313(f223(a1),x100172),x100171))+E(f313(f36(x100171),f40(x100172,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100171))),f40(x100172,x100171))
% 119.46/119.25 [10018]~P1(f313(f313(f223(a1),f2(a1)),x100181))+P1(f313(f313(f223(a1),x100182),x100181))+E(f313(f36(x100181),f40(x100182,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100181))),f40(x100182,x100181))
% 119.46/119.25 [10019]P1(f313(f313(f222(a1),x100191),f2(a1)))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x100192),x100191)))+E(f313(f36(x100191),f43(x100192,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100191))),f43(x100192,x100191))
% 119.46/119.25 [10020]~P1(f313(f313(f223(a1),f2(a1)),x100201))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x100202),x100201)))+E(f313(f36(x100201),f43(x100202,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100201))),f43(x100202,x100201))
% 119.46/119.25 [10021]~P2(x100211)+~P1(f313(f313(f222(a1),f2(a1)),x100212))+E(f313(f91(x100211),f313(a96,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100212))),f313(f313(f73(x100211),f313(f91(x100211),f313(a96,x100212))),f313(f91(x100211),f313(a96,x100212))))
% 119.46/119.25 [5011]~P150(x50111,x50113,x50112)+~E(x50113,f2(a1))+P1(f313(x50111,x50112))
% 119.46/119.25 [5143]~P4(x51431)+~P13(x51431,x51433)+P13(x51431,f158(x51431,x51432,x51433))
% 119.46/119.25 [5144]~P4(x51441)+~P13(x51441,x51443)+P13(x51441,f165(x51441,x51442,x51443))
% 119.46/119.25 [4697]~P81(x46972)+~E(x46973,f313(f72(x46972),x46971))+E(x46971,f313(f72(x46972),x46973))
% 119.46/119.25 [4698]~P81(x46982)+~E(x46983,f313(f72(x46982),x46981))+E(x46981,f313(f72(x46982),x46983))
% 119.46/119.25 [4699]~P81(x46991)+~E(f313(f72(x46991),x46993),x46992)+E(f313(f72(x46991),x46992),x46993)
% 119.46/119.25 [4700]~P81(x47001)+~E(f313(f72(x47001),x47003),x47002)+E(f313(f72(x47001),x47002),x47003)
% 119.46/119.25 [4779]~P96(x47793)+E(x47791,x47792)+~E(f313(f91(x47793),x47791),f313(f91(x47793),x47792))
% 119.46/119.25 [4780]~P97(x47803)+E(x47801,x47802)+~E(f313(f94(x47803),x47801),f313(f94(x47803),x47802))
% 119.46/119.25 [4781]~P81(x47813)+E(x47811,x47812)+~E(f313(f72(x47813),x47811),f313(f72(x47813),x47812))
% 119.46/119.25 [4782]~P100(x47823)+E(x47821,x47822)+~E(f313(f72(x47823),x47821),f313(f72(x47823),x47822))
% 119.46/119.25 [4783]~P4(x47833)+E(x47831,x47832)+~E(f313(f268(x47833),x47831),f313(f268(x47833),x47832))
% 119.46/119.25 [4784]~P4(x47843)+E(x47841,x47842)+~E(f313(f290(x47843),x47841),f313(f290(x47843),x47842))
% 119.46/119.25 [4785]~P4(x47853)+E(x47851,x47852)+~E(f313(f287(x47853),x47851),f313(f287(x47853),x47852))
% 119.46/119.25 [4786]~P4(x47863)+E(x47861,x47862)+~E(f313(f269(x47863),x47861),f313(f269(x47863),x47862))
% 119.46/119.25 [4887]~P69(x48871)+~P1(f313(x48872,x48873))+P1(f313(f49(x48871),x48872))
% 119.46/119.25 [4888]~P69(x48881)+~P1(f313(x48882,x48883))+P1(f313(f49(x48881),x48882))
% 119.46/119.25 [4928]~P69(x49283)+P1(f313(x49281,x49282))+~P1(f313(f50(x49283),x49281))
% 119.46/119.25 [4929]~P69(x49293)+P1(f313(x49291,x49292))+~P1(f313(f50(x49293),x49291))
% 119.46/119.25 [5031]~P151(x50311,x50312,x50313)+~E(x50312,f2(a1))+P1(f313(x50311,f2(a1)))
% 119.46/119.25 [5067]~P117(x50672)+~P1(f313(x50671,x50673))+P1(f313(x50671,f226(x50672,x50671)))
% 119.46/119.25 [5068]~P117(x50682)+~P1(f313(x50681,x50683))+P1(f313(x50681,f226(x50682,x50681)))
% 119.46/119.25 [5076]~E(x50761,f2(a883))+E(f339(x50761,x50762,x50763),f178(f890(x50763,a881)))+~E(f313(f28(x50763),x50762),f313(a103,x50761))
% 119.46/119.25 [5228]~E(x52282,f2(a883))+E(f313(f239(a883,a883),x52281),f2(a883))+~P1(f313(f41(x52283,x52282),x52281))
% 119.46/119.25 [5269]P1(f313(x52691,x52692))+~E(x52693,f313(f91(a1),x52692))+~P1(f313(x52691,f313(a96,x52693)))
% 119.46/119.25 [5752]~E(x57523,f2(a883))+~P1(f313(x57521,x57522))+P1(f313(x57521,f38(a883,x57522,x57523)))
% 119.46/119.25 [5818]~P117(x58181)+~P1(f313(x58182,x58183))+~P1(f313(f313(f223(x58181),x58183),f226(x58181,x58182)))
% 119.46/119.25 [5998]~P109(x59982)+~P109(x59981)+E(f119(x59981,x59982,f120(x59981,x59983),f120(x59982,x59983)),f120(f889(x59981,x59982),x59983))
% 119.46/119.25 [6187]~E(x61873,f2(a883))+P1(f313(x61871,x61872))+~P1(f313(x61871,f38(a883,x61872,x61873)))
% 119.46/119.25 [6201]~P5(x62011)+~P1(f313(f313(f222(x62011),x62012),f313(x62013,x62012)))+P1(f313(f313(f222(x62011),x62012),f87(x62011,x62013)))
% 119.46/119.25 [6916]E(x69161,f2(a883))+~P1(f313(x69162,f730(x69161,x69163,x69162)))+P1(f313(x69162,f38(a883,x69163,x69161)))
% 119.46/119.25 [7033]~P5(x70331)+~P1(f313(f313(f222(x70331),x70332),f607(x70333,x70332,x70331)))+P1(f313(f313(f222(x70331),x70332),f31(x70331,x70333)))
% 119.46/119.25 [7035]~P1(f313(x70351,x70352))+~P1(f313(x70351,f730(x70353,x70352,x70351)))+P1(f313(x70351,f38(a883,x70352,x70353)))
% 119.46/119.25 [7138]E(x71381,f104(x71382))+E(f313(f313(f139(x71382),f701(x71383,x71381,x71382)),f705(x71383,x71381,x71382)),x71381)+~P1(f313(f313(f315(f885(x71382)),x71381),f149(x71382,x71383)))
% 119.46/119.25 [7170]~P144(x71701)+~P1(f313(f313(f315(x71701),x71702),f101(x71701)))+P1(f313(f313(f315(x71701),f313(f313(f232(x71701),x71702),x71703)),f101(x71701)))
% 119.46/119.25 [7500]P36(x75001,x75002)+~P1(f313(f313(f315(x75001),x75003),f640(x75002,x75001)))+P1(f313(f313(f315(x75001),f651(x75002,x75001,x75003)),f640(x75002,x75001)))
% 119.46/119.25 [7774]E(x77741,f104(x77742))+~P1(f313(f313(f315(f885(x77742)),x77741),f149(x77742,x77743)))+P1(f313(f313(f315(f885(x77742)),f705(x77743,x77741,x77742)),f149(x77742,x77743)))
% 119.46/119.25 [7826]E(x78261,f2(a883))+E(f313(f313(f73(a883),f313(f313(f74(a883),x78261),f717(x78261,x78262,x78263))),f730(x78261,x78262,x78263)),x78262)+P1(f313(x78263,f38(a883,x78262,x78261)))
% 119.46/119.25 [7868]~P1(f313(x78683,x78682))+E(f313(f313(f73(a883),f313(f313(f74(a883),x78681),f717(x78681,x78682,x78683))),f730(x78681,x78682,x78683)),x78682)+P1(f313(x78683,f38(a883,x78682,x78681)))
% 119.46/119.25 [8009]P1(f313(f313(f223(a1),x80091),f630(x80092,x80093,x80091)))+P1(f313(f313(x80093,f313(f313(f29(a1),x80092),x80091)),f38(a1,x80092,x80091)))+~P1(f313(f313(f223(a1),x80091),f2(a1)))
% 119.46/119.25 [8277]P1(f313(f313(x82772,f313(f313(f29(a1),x82771),x82773)),f38(a1,x82771,x82773)))+~P1(f313(f313(f223(a1),x82773),f2(a1)))+P1(f313(f313(f222(a1),f630(x82771,x82772,x82773)),f2(a1)))
% 119.46/119.25 [8457]E(f313(f313(f73(a1),f313(f313(f74(a1),x84571),f610(x84572,x84573,x84571))),f630(x84572,x84573,x84571)),x84572)+P1(f313(f313(x84573,f313(f313(f29(a1),x84572),x84571)),f38(a1,x84572,x84571)))+~P1(f313(f313(f223(a1),x84571),f2(a1)))
% 119.46/119.25 [8692]~P1(f313(f313(x86921,f610(x86922,x86921,x86923)),f630(x86922,x86921,x86923)))+P1(f313(f313(x86921,f313(f313(f29(a1),x86922),x86923)),f38(a1,x86922,x86923)))+~P1(f313(f313(f223(a1),x86923),f2(a1)))
% 119.46/119.25 [8923]~P4(x89231)+~P13(x89231,x89233)+P13(x89231,f137(x89231,x89231,f7(x89231),x89232,x89233))
% 119.46/119.25 [9419]~P130(x94192)+E(x94191,f2(x94192))+~P1(f313(f313(f222(x94192),f313(f313(f73(x94192),f313(f313(f74(x94192),x94193),x94193)),f313(f313(f74(x94192),x94191),x94191))),f2(x94192)))
% 119.46/119.25 [9420]~P130(x94202)+E(x94201,f2(x94202))+~P1(f313(f313(f222(x94202),f313(f313(f73(x94202),f313(f313(f74(x94202),x94201),x94201)),f313(f313(f74(x94202),x94203),x94203))),f2(x94202)))
% 119.46/119.25 [10227]~P115(x102271)+~P1(f313(f313(f223(x102271),x102272),f2(x102271)))+P1(f313(f313(f223(x102271),f313(f313(f232(x102271),x102272),f313(a103,f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x102273)))),f2(x102271)))
% 119.46/119.25 [10236]~P115(x102362)+E(x102361,f2(x102362))+~P1(f313(f313(f222(x102362),f313(f313(f73(x102362),f313(f313(f232(x102362),x102363),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x102362),x102361),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f2(x102362)))
% 119.46/119.25 [10237]~P115(x102372)+E(x102371,f2(x102372))+~P1(f313(f313(f222(x102372),f313(f313(f73(x102372),f313(f313(f232(x102372),x102371),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x102372),x102373),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f2(x102372)))
% 119.46/119.25 [4734]~E(x47342,x47343)+~P81(x47341)+E(f313(f313(f3(x47341),x47342),x47343),f2(x47341))
% 119.46/119.25 [4735]~E(x47352,x47353)+~P65(x47351)+E(f313(f313(f3(x47351),x47352),x47353),f2(x47351))
% 119.46/119.25 [4748]~P149(x47481)+~E(x47483,f2(x47481))+E(f313(f313(f73(x47481),x47482),x47483),x47482)
% 119.46/119.25 [4765]~P136(x47651)+~E(x47653,f2(x47651))+E(f313(f313(f74(x47651),x47652),x47653),f2(x47651))
% 119.46/119.25 [4766]~P136(x47661)+~E(x47662,f2(x47661))+E(f313(f313(f74(x47661),x47662),x47663),f2(x47661))
% 119.46/119.25 [4787]~E(x47873,f104(x47871))+~E(x47872,f104(x47871))+E(f313(f313(f122(x47871),x47872),x47873),f104(x47871))
% 119.46/119.25 [4788]~E(x47883,f104(x47881))+~E(x47882,f104(x47881))+E(f313(f313(f122(x47881),x47882),x47883),f104(x47881))
% 119.46/119.25 [4878]~P149(x48782)+E(x48781,f2(x48782))+~E(f313(f313(f73(x48782),x48783),x48781),x48783)
% 119.46/119.25 [4879]~P81(x48791)+~E(x48792,f313(f72(x48791),x48793))+E(f313(f313(f73(x48791),x48792),x48793),f2(x48791))
% 119.46/119.25 [4886]E(x48861,f104(x48862))+E(x48863,f2(a883))+~E(f313(f313(f163(x48862),x48863),x48861),f104(x48862))
% 119.46/119.25 [4896]~P81(x48963)+E(x48961,x48962)+~E(f313(f313(f3(x48963),x48961),x48962),f2(x48963))
% 119.46/119.25 [4897]~P65(x48973)+E(x48971,x48972)+~E(f313(f313(f3(x48973),x48971),x48972),f2(x48973))
% 119.46/119.25 [4910]~P138(x49102)+E(x49101,f2(x49102))+~E(f313(f313(f232(x49102),x49101),x49103),f2(x49102))
% 119.46/119.25 [4912]~P104(x49122)+E(x49121,f178(x49122))+~E(f313(f313(f92(x49122),x49123),x49121),f178(x49122))
% 119.46/119.25 [4913]~P104(x49132)+E(x49131,f178(x49132))+~E(f313(f313(f92(x49132),x49131),x49133),f178(x49132))
% 119.46/119.25 [4914]~P107(x49142)+E(x49141,f230(x49142))+~E(f313(f313(f93(x49142),x49143),x49141),f230(x49142))
% 119.46/119.25 [4915]~P107(x49152)+E(x49151,f230(x49152))+~E(f313(f313(f93(x49152),x49151),x49153),f230(x49152))
% 119.46/119.25 [4985]~P81(x49852)+E(x49851,f313(f72(x49852),x49853))+~E(f313(f313(f73(x49852),x49851),x49853),f2(x49852))
% 119.46/119.25 [4986]~P81(x49861)+E(f313(f72(x49861),x49862),x49863)+~E(f313(f313(f73(x49861),x49862),x49863),f2(x49861))
% 119.46/119.25 [4987]~E(x49872,x49873)+~P3(x49871)+P1(f313(f313(f222(x49871),x49872),x49873))
% 119.46/119.25 [4988]~E(x49882,x49883)+~P3(x49881)+P1(f313(f313(f222(x49881),x49882),x49883))
% 119.46/119.25 [4989]~E(x49892,x49893)+~P3(x49891)+P1(f313(f313(f222(x49891),x49892),x49893))
% 119.46/119.25 [4990]~E(x49902,x49903)+~P113(x49901)+P1(f313(f313(f222(x49901),x49902),x49903))
% 119.46/119.25 [5093]~P124(x50931)+~E(x50932,f313(f72(x50931),x50933))+E(f313(f313(f74(x50931),x50932),x50932),f313(f313(f74(x50931),x50933),x50933))
% 119.46/119.25 [5101]~P4(x51011)+~P13(x51011,x51013)+P13(x51011,f313(f313(f163(x51011),x51012),x51013))
% 119.46/119.25 [5102]~P4(x51021)+~P13(x51021,x51023)+P13(x51021,f313(f313(f126(x51021),x51022),x51023))
% 119.46/119.25 [5140]E(x51401,x51402)+E(x51403,f2(a883))+~E(f313(f313(f74(a883),x51403),x51401),f313(f313(f74(a883),x51403),x51402))
% 119.46/119.25 [5141]E(x51411,x51412)+E(x51413,f2(a883))+~E(f313(f313(f74(a883),x51413),x51411),f313(f313(f74(a883),x51413),x51412))
% 119.46/119.25 [5142]E(x51421,x51422)+E(x51423,f2(a883))+~E(f313(f313(f74(a883),x51421),x51423),f313(f313(f74(a883),x51422),x51423))
% 119.46/119.25 [5221]~E(x52212,x52213)+~P3(x52211)+E(f289(x52211,x52212,x52213),f313(f313(f295(x52211),x52212),f178(f890(x52211,a881))))
% 119.46/119.25 [5257]~P115(x52571)+~E(f313(f69(x52571),x52572),f313(f69(x52571),x52573))+P1(f313(f313(f273(x52571),x52572),x52573))
% 119.46/119.25 [5261]~E(x52611,x52612)+~P3(x52613)+~P1(f313(f313(f223(x52613),x52611),x52612))
% 119.46/119.25 [5262]~E(x52621,x52622)+~P3(x52623)+~P1(f313(f313(f223(x52623),x52621),x52622))
% 119.46/119.25 [5263]~E(x52631,x52632)+~P3(x52633)+~P1(f313(f313(f223(x52633),x52631),x52632))
% 119.46/119.25 [5264]~E(x52641,x52642)+~P4(x52643)+~P1(f313(f313(f223(x52643),x52641),x52642))
% 119.46/119.25 [5265]~E(x52651,x52652)+~P4(x52653)+~P1(f313(f313(f223(x52653),x52651),x52652))
% 119.46/119.25 [5266]~E(x52661,x52662)+~P3(x52663)+~P1(f313(f313(f223(x52663),x52661),x52662))
% 119.46/119.25 [5267]~E(x52671,x52672)+~P4(x52673)+~P1(f313(f313(f223(x52673),x52671),x52672))
% 119.46/119.25 [5279]~P3(x52791)+E(f313(f288(x52791,x52792),x52793),f178(f890(x52791,a881)))+P1(f313(f313(f223(x52791),x52792),x52793))
% 119.46/119.25 [5280]~P3(x52801)+E(f313(f288(x52801,x52802),x52803),f178(f890(x52801,a881)))+P1(f313(f313(f223(x52801),x52802),x52803))
% 119.46/119.25 [5329]~P3(x53291)+E(f289(x53291,x53292,x53293),f178(f890(x53291,a881)))+P1(f313(f313(f222(x53291),x53292),x53293))
% 119.46/119.25 [5330]~P3(x53301)+E(f291(x53301,x53302,x53303),f178(f890(x53301,a881)))+P1(f313(f313(f223(x53301),x53302),x53303))
% 119.46/119.25 [5331]~P3(x53311)+E(f178(f890(x53311,a881)),f289(x53311,x53312,x53313))+P1(f313(f313(f222(x53311),x53312),x53313))
% 119.46/119.25 [5332]~P3(x53321)+E(f178(f890(x53321,a881)),f291(x53321,x53322,x53323))+P1(f313(f313(f223(x53321),x53322),x53323))
% 119.46/119.25 [5340]~P4(x53401)+~E(f313(f313(f227(x53401),x53402),x53403),x53402)+P1(f313(f313(f222(x53401),x53402),x53403))
% 119.46/119.25 [5341]~P4(x53411)+~E(f313(f313(f177(x53411),x53412),x53413),x53413)+P1(f313(f313(f222(x53411),x53412),x53413))
% 119.46/119.25 [5342]~P102(x53421)+~E(f313(f313(f92(x53421),x53422),x53423),x53423)+P1(f313(f313(f222(x53421),x53422),x53423))
% 119.46/119.25 [5343]~P108(x53431)+~E(f313(f313(f93(x53431),x53432),x53433),x53432)+P1(f313(f313(f222(x53431),x53432),x53433))
% 119.46/119.25 [5361]~P4(x53611)+P13(x53611,x53612)+~P13(x53611,f313(f313(f139(x53611),x53613),x53612))
% 119.46/119.25 [5362]~P4(x53621)+P13(x53621,x53622)+~P13(x53621,f313(f313(f139(x53621),x53623),x53622))
% 119.46/119.25 [5363]~P4(x53631)+P13(x53631,x53632)+~P13(x53631,f313(f313(f122(x53631),x53633),x53632))
% 119.46/119.25 [5364]~P4(x53641)+P13(x53641,x53642)+~P13(x53641,f313(f313(f122(x53641),x53642),x53643))
% 119.46/119.25 [5369]~P66(x53691)+~E(f38(x53691,x53693,x53692),f2(x53691))+P1(f313(f313(f273(x53691),x53692),x53693))
% 119.46/119.25 [5428]~P4(x54281)+P1(f313(f313(f222(x54281),x54283),x54282))+P1(f313(f313(f222(x54281),x54282),x54283))
% 119.46/119.25 [5429]~P4(x54291)+P1(f313(f313(f222(x54291),x54293),x54292))+P1(f313(f313(f222(x54291),x54292),x54293))
% 119.46/119.25 [5430]~P4(x54301)+P1(f313(f313(f223(x54301),x54303),x54302))+P1(f313(f313(f222(x54301),x54302),x54303))
% 119.46/119.25 [5431]~P4(x54311)+P1(f313(f313(f223(x54311),x54313),x54312))+P1(f313(f313(f222(x54311),x54312),x54313))
% 119.46/119.25 [5432]~P4(x54321)+P1(f313(f313(f223(x54321),x54323),x54322))+P1(f313(f313(f222(x54321),x54322),x54323))
% 119.46/119.25 [5433]~P4(x54331)+P1(f313(f313(f223(x54331),x54333),x54332))+P1(f313(f313(f222(x54331),x54332),x54333))
% 119.46/119.25 [5434]~P4(x54341)+P1(f313(f313(f223(x54341),x54343),x54342))+P1(f313(f313(f222(x54341),x54342),x54343))
% 119.46/119.25 [5471]~P4(x54711)+E(f313(f313(f227(x54711),x54712),x54713),x54713)+~P1(f313(f313(f222(x54711),x54713),x54712))
% 119.46/119.25 [5472]~P4(x54721)+E(f313(f313(f227(x54721),x54722),x54723),x54722)+~P1(f313(f313(f222(x54721),x54722),x54723))
% 119.46/119.25 [5473]~P4(x54731)+E(f313(f313(f227(x54731),x54732),x54733),x54732)+~P1(f313(f313(f222(x54731),x54732),x54733))
% 119.46/119.25 [5474]~P4(x54741)+E(f313(f313(f177(x54741),x54742),x54743),x54742)+~P1(f313(f313(f222(x54741),x54743),x54742))
% 119.46/119.25 [5475]~P4(x54751)+E(f313(f313(f177(x54751),x54752),x54753),x54753)+~P1(f313(f313(f222(x54751),x54752),x54753))
% 119.46/119.25 [5476]~P4(x54761)+E(f313(f313(f177(x54761),x54762),x54763),x54763)+~P1(f313(f313(f222(x54761),x54762),x54763))
% 119.46/119.25 [5477]~P102(x54771)+E(f313(f313(f92(x54771),x54772),x54773),x54772)+~P1(f313(f313(f222(x54771),x54773),x54772))
% 119.46/119.25 [5478]~P102(x54781)+E(f313(f313(f92(x54781),x54782),x54783),x54783)+~P1(f313(f313(f222(x54781),x54782),x54783))
% 119.46/119.25 [5479]~P102(x54791)+E(f313(f313(f92(x54791),x54792),x54793),x54793)+~P1(f313(f313(f222(x54791),x54792),x54793))
% 119.46/119.25 [5480]~P108(x54801)+E(f313(f313(f93(x54801),x54802),x54803),x54803)+~P1(f313(f313(f222(x54801),x54803),x54802))
% 119.46/119.25 [5481]~P108(x54811)+E(f313(f313(f93(x54811),x54812),x54813),x54812)+~P1(f313(f313(f222(x54811),x54812),x54813))
% 119.46/119.25 [5482]~P108(x54821)+E(f313(f313(f93(x54821),x54822),x54823),x54822)+~P1(f313(f313(f222(x54821),x54822),x54823))
% 119.46/119.25 [5489]~P126(x54892)+E(x54891,f2(x54892))+E(f313(f313(f277(x54892),f313(f72(x54892),x54893)),f313(f72(x54892),x54891)),f313(f313(f277(x54892),x54893),x54891))
% 119.46/119.25 [5495]~P66(x54951)+E(f38(x54951,x54952,x54953),f2(x54951))+~P1(f313(f313(f273(x54951),x54953),x54952))
% 119.46/119.25 [5496]~P66(x54961)+E(f38(x54961,x54962,x54963),f2(x54961))+~P1(f313(f313(f273(x54961),x54963),x54962))
% 119.46/119.25 [5542]~P3(x55421)+E(f313(f288(x55421,x55422),x55423),f178(f890(x55421,a881)))+~P1(f313(f313(f222(x55421),x55423),x55422))
% 119.46/119.25 [5575]~P3(x55751)+E(f289(x55751,x55752,x55753),f178(f890(x55751,a881)))+~P1(f313(f313(f223(x55751),x55753),x55752))
% 119.46/119.25 [5576]~P3(x55761)+E(f291(x55761,x55762,x55763),f178(f890(x55761,a881)))+~P1(f313(f313(f222(x55761),x55763),x55762))
% 119.46/119.25 [5577]~P3(x55771)+E(f292(x55771,x55772,x55773),f178(f890(x55771,a881)))+~P1(f313(f313(f222(x55771),x55773),x55772))
% 119.46/119.25 [5620]~P117(x56201)+~P1(f313(x56202,x56203))+P1(f313(f313(f222(x56201),f226(x56201,x56202)),x56203))
% 119.46/119.25 [5630]~E(f313(f313(f3(a883),x56301),x56303),x56302)+E(x56301,f313(f313(f73(a883),x56302),x56303))+~P1(f313(f313(f222(a883),x56303),x56301))
% 119.46/119.25 [5631]~E(x56311,f313(f313(f73(a883),x56313),x56312))+E(f313(f313(f3(a883),x56311),x56312),x56313)+~P1(f313(f313(f222(a883),x56312),x56311))
% 119.46/119.25 [5677]~P1(f313(x56771,x56773))+P1(f313(x56771,f824(x56771,x56772)))+~P1(f313(f313(f222(a883),x56773),x56772))
% 119.46/119.25 [5678]~P1(f313(x56781,x56783))+P1(f313(x56781,f870(x56781,x56782)))+~P1(f313(f313(f223(a883),x56783),x56782))
% 119.46/119.25 [5685]~P3(x56851)+~E(f313(f288(x56851,x56852),x56853),f178(f890(x56851,a881)))+~P1(f313(f313(f223(x56851),x56852),x56853))
% 119.46/119.25 [5686]~P3(x56861)+~E(f313(f288(x56861,x56862),x56863),f178(f890(x56861,a881)))+~P1(f313(f313(f223(x56861),x56862),x56863))
% 119.46/119.25 [5690]~P3(x56901)+~P1(f313(f313(f223(x56901),x56902),x56903))+P1(f313(f313(f222(x56901),x56902),x56903))
% 119.46/119.25 [5691]~P3(x56911)+~P1(f313(f313(f223(x56911),x56912),x56913))+P1(f313(f313(f222(x56911),x56912),x56913))
% 119.46/119.25 [5692]~P113(x56921)+~P1(f313(f313(f223(x56921),x56922),x56923))+P1(f313(f313(f222(x56921),x56922),x56923))
% 119.46/119.25 [5693]~P113(x56931)+~P1(f313(f313(f223(x56931),x56932),x56933))+P1(f313(f313(f222(x56931),x56932),x56933))
% 119.46/119.25 [5811]~P3(x58111)+~E(f289(x58111,x58112,x58113),f178(f890(x58111,a881)))+~P1(f313(f313(f222(x58111),x58112),x58113))
% 119.46/119.25 [5812]~P3(x58121)+~E(f291(x58121,x58122,x58123),f178(f890(x58121,a881)))+~P1(f313(f313(f223(x58121),x58122),x58123))
% 119.46/119.25 [5813]~P3(x58131)+~E(f178(f890(x58131,a881)),f289(x58131,x58132,x58133))+~P1(f313(f313(f222(x58131),x58132),x58133))
% 119.46/119.25 [5814]~P3(x58141)+~E(f178(f890(x58141,a881)),f291(x58141,x58142,x58143))+~P1(f313(f313(f223(x58141),x58142),x58143))
% 119.46/119.25 [5825]P1(f313(x58251,x58252))+~P1(f313(x58251,f825(x58251,x58253)))+~P1(f313(f313(f222(a883),x58252),x58253))
% 119.46/119.25 [5826]P1(f313(x58261,x58262))+~P1(f313(x58261,f871(x58261,x58263)))+~P1(f313(f313(f223(a883),x58262),x58263))
% 119.46/119.25 [5834]~E(x58341,f313(a103,x58343))+P1(f313(f313(f223(a883),x58341),f313(a103,x58342)))+~P1(f313(f313(f223(a883),x58343),x58342))
% 119.46/119.25 [5850]E(x58501,x58502)+~E(f313(f313(f74(a883),x58503),x58501),f313(f313(f74(a883),x58503),x58502))+~P1(f313(f313(f223(a883),f2(a883)),x58503))
% 119.46/119.25 [5910]E(f313(x59101,f364(x59101,x59102,x59103)),f71(a883))+~E(f313(f313(f8(x59103,a883),x59101),x59102),f71(a883))+~P1(f313(f54(x59103),x59102))
% 119.46/119.25 [5927]~P5(x59271)+P1(f313(f313(f222(x59271),x59272),f30(x59271,x59273)))+~P1(f313(f313(f315(x59271),x59272),x59273))
% 119.46/119.25 [5950]~P3(x59501)+~P1(f313(f313(f223(x59501),x59503),x59502))+~P1(f313(f313(f223(x59501),x59502),x59503))
% 119.46/119.25 [5951]~P113(x59511)+~P1(f313(f313(f223(x59511),x59513),x59512))+~P1(f313(f313(f222(x59511),x59512),x59513))
% 119.46/119.25 [5952]~P113(x59521)+~P1(f313(f313(f223(x59521),x59523),x59522))+~P1(f313(f313(f223(x59521),x59522),x59523))
% 119.46/119.25 [5953]~P113(x59531)+~P1(f313(f313(f223(x59531),x59533),x59532))+~P1(f313(f313(f223(x59531),x59532),x59533))
% 119.46/119.25 [5954]~P113(x59541)+~P1(f313(f313(f223(x59541),x59543),x59542))+~P1(f313(f313(f223(x59541),x59542),x59543))
% 119.46/119.25 [5955]~P113(x59551)+~P1(f313(f313(f223(x59551),x59553),x59552))+~P1(f313(f313(f223(x59551),x59552),x59553))
% 119.46/119.25 [5956]~P4(x59561)+~P1(f313(f313(f223(x59561),x59563),x59562))+~P1(f313(f313(f222(x59561),x59562),x59563))
% 119.46/119.25 [5957]~P4(x59571)+~P1(f313(f313(f223(x59571),x59573),x59572))+~P1(f313(f313(f222(x59571),x59572),x59573))
% 119.46/119.25 [5958]~P4(x59581)+~P1(f313(f313(f223(x59581),x59583),x59582))+~P1(f313(f313(f222(x59581),x59582),x59583))
% 119.46/119.25 [5959]~P4(x59591)+~P1(f313(f313(f223(x59591),x59593),x59592))+~P1(f313(f313(f223(x59591),x59592),x59593))
% 119.46/119.25 [5982]~E(x59822,x59823)+~E(x59821,x59822)+E(f276(a883,f273(a883),x59821,x59822),f313(f313(f295(a883),x59823),f178(f890(a883,a881))))
% 119.46/119.25 [5990]~E(f313(x59902,f365(x59902,x59903,x59901)),f2(a883))+E(f313(f313(f8(x59901,a883),x59902),x59903),f2(a883))+~P1(f313(f54(x59901),x59903))
% 119.46/119.25 [5991]~E(f313(x59912,f420(x59912,x59913,x59911)),f71(a883))+E(f313(f313(f11(x59911,a883),x59912),x59913),f71(a883))+~P1(f313(f54(x59911),x59913))
% 119.46/119.25 [6007]~P112(x60071)+~P1(f313(f313(f223(x60071),x60073),x60072))+P1(f313(f313(f315(x60071),x60072),f313(f290(x60071),x60073)))
% 119.46/119.25 [6008]~P112(x60081)+~P1(f313(f313(f222(x60081),x60083),x60082))+P1(f313(f313(f315(x60081),x60082),f313(f269(x60081),x60083)))
% 119.46/119.25 [6009]~P112(x60091)+~P1(f313(f313(f223(x60091),x60092),x60093))+P1(f313(f313(f315(x60091),x60092),f313(f268(x60091),x60093)))
% 119.46/119.25 [6010]~P112(x60101)+~P1(f313(f313(f222(x60101),x60102),x60103))+P1(f313(f313(f315(x60101),x60102),f313(f287(x60101),x60103)))
% 119.46/119.25 [6011]~P121(x60111)+~P1(f313(f313(f273(x60111),x60112),x60113))+P1(f313(f313(f273(x60111),x60112),f313(f72(x60111),x60113)))
% 119.46/119.25 [6012]~P115(x60121)+~P1(f313(f313(f273(x60121),x60122),x60123))+P1(f313(f313(f273(x60121),x60122),f313(f69(x60121),x60123)))
% 119.46/119.25 [6024]E(f313(x60241,f366(x60241,x60242,x60243)),f313(a103,f2(a883)))+~E(f313(f313(f8(x60243,a883),x60241),x60242),f313(a103,f2(a883)))+~P1(f313(f54(x60243),x60242))
% 119.46/119.25 [6108]~P5(x61081)+~P1(f313(f313(f315(x61081),x61083),x61082))+P1(f313(f313(f222(x61081),f31(x61081,x61082)),x61083))
% 119.46/119.25 [6129]~P1(f313(f313(f222(a883),x61291),x61293))+P1(f313(f313(f222(a883),x61291),x61292))+~P1(f313(f313(f222(a883),x61293),x61292))
% 119.46/119.25 [6130]~P1(f313(f313(f222(a1),x61301),x61303))+P1(f313(f313(f222(a1),x61301),x61302))+~P1(f313(f313(f222(a1),x61303),x61302))
% 119.46/119.25 [6131]~P1(f313(f313(f273(a883),x61311),x61313))+P1(f313(f313(f273(a883),x61311),x61312))+~P1(f313(f313(f273(a883),x61313),x61312))
% 119.46/119.25 [6151]~P112(x61511)+~P1(f313(f313(f315(x61511),x61513),f313(f269(x61511),x61512)))+P1(f313(f313(f222(x61511),x61512),x61513))
% 119.46/119.25 [6152]~P112(x61521)+~P1(f313(f313(f315(x61521),x61522),f313(f287(x61521),x61523)))+P1(f313(f313(f222(x61521),x61522),x61523))
% 119.46/119.25 [6153]~P112(x61531)+~P1(f313(f313(f315(x61531),x61533),f313(f290(x61531),x61532)))+P1(f313(f313(f223(x61531),x61532),x61533))
% 119.46/119.25 [6154]~P112(x61541)+~P1(f313(f313(f315(x61541),x61542),f313(f268(x61541),x61543)))+P1(f313(f313(f223(x61541),x61542),x61543))
% 119.46/119.25 [6155]~P115(x61551)+~P1(f313(f313(f273(x61551),x61552),f313(f69(x61551),x61553)))+P1(f313(f313(f273(x61551),x61552),x61553))
% 119.46/119.25 [6156]~P121(x61561)+~P1(f313(f313(f273(x61561),x61562),f313(f72(x61561),x61563)))+P1(f313(f313(f273(x61561),x61562),x61563))
% 119.46/119.25 [6233]~P1(f313(x62331,x62332))+P1(f313(x62331,f803(x62331)))+~P1(f313(f313(f315(x62333),x62332),f230(f890(x62333,a881))))
% 119.46/119.25 [6350]~P3(x63501)+~P39(a883,x63501,x63502)+P1(f313(f313(f222(x63501),f313(x63502,x63503)),f313(x63502,f313(a103,x63503))))
% 119.46/119.25 [6385]~P72(x63851)+P1(f313(f313(f223(x63851),f2(x63851)),f485(x63853,x63852,x63851)))+P1(f313(f313(f222(x63851),x63852),x63853))
% 119.46/119.25 [6386]~P73(x63861)+P1(f313(f313(f223(x63861),f2(x63861)),f826(x63863,x63862,x63861)))+P1(f313(f313(f222(x63861),x63862),x63863))
% 119.46/119.25 [6460]~P87(x64601)+~P1(f313(f313(f222(x64601),x64603),f313(f72(x64601),x64602)))+P1(f313(f313(f222(x64601),x64602),f313(f72(x64601),x64603)))
% 119.46/119.25 [6461]~P87(x64611)+~P1(f313(f313(f222(x64611),x64613),f313(f72(x64611),x64612)))+P1(f313(f313(f222(x64611),x64612),f313(f72(x64611),x64613)))
% 119.46/119.25 [6462]~P87(x64621)+~P1(f313(f313(f223(x64621),x64623),f313(f72(x64621),x64622)))+P1(f313(f313(f223(x64621),x64622),f313(f72(x64621),x64623)))
% 119.46/119.25 [6463]~P87(x64631)+~P1(f313(f313(f223(x64631),x64633),f313(f72(x64631),x64632)))+P1(f313(f313(f223(x64631),x64632),f313(f72(x64631),x64633)))
% 119.46/119.25 [6475]~P1(f313(f313(f223(a883),x64751),x64753))+~P1(f313(f313(f223(a883),x64753),x64752))+P1(f313(f313(f223(a883),f313(a103,x64751)),x64752))
% 119.46/119.25 [6506]~P114(x65061)+P1(f313(f313(f222(x65061),f313(f91(x65061),x65062)),f313(f91(x65061),x65063)))+~P1(f313(f313(f222(a883),x65062),x65063))
% 119.46/119.25 [6507]~P115(x65071)+P1(f313(f313(f222(x65071),f313(f94(x65071),x65072)),f313(f94(x65071),x65073)))+~P1(f313(f313(f222(a1),x65072),x65073))
% 119.46/119.25 [6508]~P114(x65081)+P1(f313(f313(f223(x65081),f313(f91(x65081),x65082)),f313(f91(x65081),x65083)))+~P1(f313(f313(f223(a883),x65082),x65083))
% 119.46/119.25 [6509]~P115(x65091)+P1(f313(f313(f223(x65091),f313(f94(x65091),x65092)),f313(f94(x65091),x65093)))+~P1(f313(f313(f223(a1),x65092),x65093))
% 119.46/119.25 [6510]~P114(x65101)+P1(f313(f313(f223(x65101),f313(f91(x65101),x65102)),f313(f91(x65101),x65103)))+~P1(f313(f313(f223(a883),x65102),x65103))
% 119.46/119.25 [6516]~P4(x65161)+E(f313(f313(f92(f890(x65161,a881)),f313(f268(x65161),x65162)),f313(f288(x65161,x65162),x65163)),f313(f268(x65161),x65163))+~P1(f313(f313(f222(x65161),x65162),x65163))
% 119.46/119.25 [6546]~P87(x65461)+~P1(f313(f313(f222(x65461),x65463),x65462))+P1(f313(f313(f222(x65461),f313(f72(x65461),x65462)),f313(f72(x65461),x65463)))
% 119.46/119.25 [6547]~P87(x65471)+~P1(f313(f313(f222(x65471),x65473),x65472))+P1(f313(f313(f222(x65471),f313(f72(x65471),x65472)),f313(f72(x65471),x65473)))
% 119.46/119.25 [6548]~P100(x65481)+~P1(f313(f313(f222(x65481),x65483),x65482))+P1(f313(f313(f222(x65481),f313(f72(x65481),x65482)),f313(f72(x65481),x65483)))
% 119.46/119.25 [6549]~P100(x65491)+~P1(f313(f313(f222(x65491),x65493),x65492))+P1(f313(f313(f222(x65491),f313(f72(x65491),x65492)),f313(f72(x65491),x65493)))
% 119.46/119.25 [6550]~P87(x65501)+~P1(f313(f313(f223(x65501),x65503),x65502))+P1(f313(f313(f223(x65501),f313(f72(x65501),x65502)),f313(f72(x65501),x65503)))
% 119.46/119.25 [6586]~P4(x65861)+E(f313(f313(f92(f890(x65861,a881)),f313(f268(x65861),x65862)),f289(x65861,x65862,x65863)),f313(f287(x65861),x65863))+~P1(f313(f313(f222(x65861),x65862),x65863))
% 119.46/119.25 [6587]~P4(x65871)+E(f313(f313(f92(f890(x65871,a881)),f313(f287(x65871),x65872)),f291(x65871,x65872,x65873)),f313(f287(x65871),x65873))+~P1(f313(f313(f222(x65871),x65872),x65873))
% 119.46/119.25 [6588]~P4(x65881)+E(f313(f313(f92(f890(x65881,a881)),f313(f287(x65881),x65882)),f292(x65881,x65882,x65883)),f313(f268(x65881),x65883))+~P1(f313(f313(f223(x65881),x65882),x65883))
% 119.46/119.25 [6626]~P4(x66261)+E(f313(f313(f92(f890(x66261,a881)),f313(f288(x66261,x66262),x66263)),f313(f269(x66261),x66263)),f313(f269(x66261),x66262))+~P1(f313(f313(f222(x66261),x66262),x66263))
% 119.46/119.25 [6700]~P5(x67001)+~P1(f313(f313(f222(x67001),f313(x67002,x67003)),x67003))+P1(f313(f313(f222(x67001),f86(x67001,x67002)),x67003))
% 119.46/119.25 [6794]~P4(x67941)+E(f313(f313(f92(f890(x67941,a881)),f289(x67941,x67942,x67943)),f313(f290(x67941),x67943)),f313(f269(x67941),x67942))+~P1(f313(f313(f222(x67941),x67942),x67943))
% 119.46/119.25 [6795]~P4(x67951)+E(f313(f313(f92(f890(x67951,a881)),f291(x67951,x67952,x67953)),f313(f290(x67951),x67953)),f313(f290(x67951),x67952))+~P1(f313(f313(f222(x67951),x67952),x67953))
% 119.46/119.25 [6796]~P4(x67961)+E(f313(f313(f92(f890(x67961,a881)),f292(x67961,x67962,x67963)),f313(f269(x67961),x67963)),f313(f290(x67961),x67962))+~P1(f313(f313(f223(x67961),x67962),x67963))
% 119.46/119.25 [6815]P1(f313(x68151,x68152))+~P1(f313(f313(f222(a883),x68152),x68153))+P1(f313(f313(f315(a883),f825(x68151,x68153)),f289(a883,f2(a883),x68153)))
% 119.46/119.25 [6825]P1(f313(f313(f273(a1),x68251),f38(a1,x68252,x68253)))+~P1(f313(f313(f273(a1),x68251),x68252))+~P1(f313(f313(f273(a1),x68251),x68253))
% 119.46/119.25 [6851]E(x68511,x68512)+~E(f313(f313(f152(x68513),x68511),f674(x68513,x68512,x68511)),f313(f313(f152(x68513),x68512),f674(x68513,x68512,x68511)))+~E(f313(f179(f885(x68513)),x68511),f313(f179(f885(x68513)),x68512))
% 119.46/119.25 [6855]~E(x68553,f313(f313(f29(a883),x68551),x68552))+~P1(f313(f313(f223(a883),f2(a883)),x68552))+P1(f313(f313(f223(a883),x68551),f313(f313(f74(a883),x68552),f313(a103,x68553))))
% 119.46/119.25 [6871]~P1(f313(x68711,x68713))+~P1(f313(f313(f222(a883),x68713),x68712))+P1(f313(f313(f315(a883),f824(x68711,x68712)),f289(a883,f2(a883),x68712)))
% 119.46/119.25 [6914]~P1(f313(x69141,x69143))+P1(f313(x69141,f869(x69141,x69142)))+~P1(f313(f313(f315(a883),x69143),f289(a883,f2(a883),x69142)))
% 119.46/119.25 [6935]~P114(x69353)+~P1(f313(f313(f222(x69353),f313(f91(x69353),x69351)),f313(f91(x69353),x69352)))+P1(f313(f313(f222(a883),x69351),x69352))
% 119.46/119.25 [6936]~P115(x69363)+~P1(f313(f313(f222(x69363),f313(f94(x69363),x69361)),f313(f94(x69363),x69362)))+P1(f313(f313(f222(a1),x69361),x69362))
% 119.46/119.25 [6937]~P114(x69373)+~P1(f313(f313(f223(x69373),f313(f91(x69373),x69371)),f313(f91(x69373),x69372)))+P1(f313(f313(f223(a883),x69371),x69372))
% 119.46/119.25 [6938]~P114(x69383)+~P1(f313(f313(f223(x69383),f313(f91(x69383),x69381)),f313(f91(x69383),x69382)))+P1(f313(f313(f223(a883),x69381),x69382))
% 119.46/119.25 [6939]~P115(x69393)+~P1(f313(f313(f223(x69393),f313(f94(x69393),x69391)),f313(f94(x69393),x69392)))+P1(f313(f313(f223(a1),x69391),x69392))
% 119.46/119.25 [6958]~P114(x69581)+~P1(f313(f313(f223(x69581),f71(x69581)),x69582))+P1(f313(f313(f223(x69581),f71(x69581)),f313(f313(f232(x69581),x69582),f313(a103,x69583))))
% 119.46/119.25 [6961]~P87(x69611)+~P1(f313(f313(f222(x69611),f313(f72(x69611),x69613)),f313(f72(x69611),x69612)))+P1(f313(f313(f222(x69611),x69612),x69613))
% 119.46/119.25 [6962]~P100(x69621)+~P1(f313(f313(f222(x69621),f313(f72(x69621),x69623)),f313(f72(x69621),x69622)))+P1(f313(f313(f222(x69621),x69622),x69623))
% 119.46/119.25 [6963]~P87(x69631)+~P1(f313(f313(f223(x69631),f313(f72(x69631),x69633)),f313(f72(x69631),x69632)))+P1(f313(f313(f223(x69631),x69632),x69633))
% 119.46/119.25 [6989]P1(f313(x69891,x69892))+~P1(f313(x69891,f865(x69891,x69893)))+~P1(f313(f313(f315(a883),x69892),f289(a883,f2(a883),x69893)))
% 119.46/119.25 [7010]~P72(x70101)+P1(f313(f313(f223(x70101),f485(x70103,x70102,x70101)),f71(x70101)))+P1(f313(f313(f222(x70101),x70102),x70103))
% 119.46/119.25 [7030]~E(f38(a883,x70303,x70302),f38(a883,x70301,x70302))+E(f313(f313(f73(a883),x70301),f313(f313(f74(a883),x70302),f785(x70301,x70302,x70303))),x70303)+~P1(f313(f313(f222(a883),x70301),x70303))
% 119.46/119.25 [7085]E(f313(f313(f8(x70851,a883),x70852),x70853),f2(a883))+~P1(f313(f54(x70851),x70853))+P1(f313(f313(f315(x70851),f365(x70852,x70853,x70851)),x70853))
% 119.46/119.25 [7086]E(f313(f313(f11(x70861,a883),x70862),x70863),f71(a883))+~P1(f313(f54(x70861),x70863))+P1(f313(f313(f315(x70861),f420(x70862,x70863,x70861)),x70863))
% 119.46/119.25 [7109]~P4(x71091)+~P1(f313(f313(f222(x71091),x71092),x71093))+P1(f313(f313(f222(f890(x71091,a881)),f313(f268(x71091),x71092)),f313(f268(x71091),x71093)))
% 119.46/119.25 [7110]~P4(x71101)+~P1(f313(f313(f222(x71101),x71103),x71102))+P1(f313(f313(f222(f890(x71101,a881)),f313(f290(x71101),x71102)),f313(f290(x71101),x71103)))
% 119.46/119.25 [7111]~P3(x71111)+~P1(f313(f313(f222(x71111),x71112),x71113))+P1(f313(f313(f222(f890(x71111,a881)),f313(f287(x71111),x71112)),f313(f287(x71111),x71113)))
% 119.46/119.25 [7112]~P3(x71121)+~P1(f313(f313(f222(x71121),x71123),x71122))+P1(f313(f313(f222(f890(x71121,a881)),f313(f269(x71121),x71122)),f313(f269(x71121),x71123)))
% 119.46/119.25 [7113]~P4(x71131)+~P1(f313(f313(f223(x71131),x71132),x71133))+P1(f313(f313(f223(f890(x71131,a881)),f313(f268(x71131),x71132)),f313(f268(x71131),x71133)))
% 119.46/119.25 [7124]~P5(x71241)+P1(f313(f313(f222(x71241),x71242),f31(x71241,x71243)))+P1(f313(f313(f315(x71241),f607(x71243,x71242,x71241)),x71243))
% 119.46/119.25 [7130]~P87(x71301)+P1(f313(f313(f222(x71301),f313(f313(f3(x71301),x71302),x71303)),f2(x71301)))+~P1(f313(f313(f222(x71301),x71302),x71303))
% 119.46/119.25 [7131]~P87(x71311)+P1(f313(f313(f223(x71311),f313(f313(f3(x71311),x71312),x71313)),f2(x71311)))+~P1(f313(f313(f223(x71311),x71312),x71313))
% 119.46/119.25 [7167]~P1(f313(f313(f273(a1),x71671),f38(a1,x71672,x71673)))+~P1(f313(f313(f273(a1),x71671),x71673))+P1(f313(f313(f273(a1),x71671),x71672))
% 119.46/119.25 [7174]P1(f313(x71741,x71742))+P1(f313(f313(f222(a883),f865(x71741,x71743)),x71743))+~P1(f313(f313(f315(a883),x71742),f289(a883,f2(a883),x71743)))
% 119.46/119.25 [7217]~E(f313(f313(f8(x72171,a883),x72172),x72173),f71(a883))+~P1(f313(f54(x72171),x72173))+P1(f313(f313(f315(x72171),f364(x72172,x72173,x72171)),x72173))
% 119.46/119.25 [7218]~P1(f313(x72181,x72183))+P1(f313(f313(f222(a883),f869(x72181,x72182)),x72182))+~P1(f313(f313(f315(a883),x72183),f289(a883,f2(a883),x72182)))
% 119.46/119.25 [7256]~P5(x72561)+P1(f313(f313(f315(x72561),f631(x72563,x72562,x72561)),x72562))+P1(f313(f313(f222(x72561),f30(x72561,x72562)),x72563))
% 119.46/119.25 [7290]~E(f313(f313(f8(x72901,a883),x72902),x72903),f313(a103,f2(a883)))+~P1(f313(f54(x72901),x72903))+P1(f313(f313(f315(x72901),f366(x72902,x72903,x72901)),x72903))
% 119.46/119.25 [7301]E(x73011,f2(a883))+P1(f313(x73012,f38(a883,x73013,x73011)))+P1(f313(f313(f223(a883),f730(x73011,x73013,x73012)),x73011))
% 119.46/119.25 [7416]~P1(f313(x74161,x74162))+P1(f313(x74161,f38(a883,x74162,x74163)))+P1(f313(f313(f223(a883),f730(x74163,x74162,x74161)),x74163))
% 119.46/119.25 [7532]E(x75321,f104(x75322))+~P1(f313(f313(f315(f885(x75322)),x75321),f149(x75322,x75323)))+P1(f313(f313(f315(x75322),f701(x75323,x75321,x75322)),x75323))
% 119.46/119.25 [7556]~P4(x75561)+E(f313(f313(f92(f890(x75561,a881)),f313(f313(f295(x75561),x75562),f178(f890(x75561,a881)))),f292(x75561,x75562,x75563)),f313(f288(x75561,x75562),x75563))+~P1(f313(f313(f223(x75561),x75562),x75563))
% 119.46/119.25 [7579]~P4(x75791)+E(f313(f313(f92(f890(x75791,a881)),f313(f313(f295(x75791),x75792),f178(f890(x75791,a881)))),f291(x75791,x75792,x75793)),f289(x75791,x75792,x75793))+~P1(f313(f313(f222(x75791),x75792),x75793))
% 119.46/119.25 [7690]~P3(x76901)+P1(f313(f313(f222(x76901),x76902),x76903))+~P1(f313(f313(f222(f890(x76901,a881)),f313(f269(x76901),x76903)),f313(f269(x76901),x76902)))
% 119.46/119.25 [7691]~P4(x76911)+P1(f313(f313(f222(x76911),x76912),x76913))+~P1(f313(f313(f222(f890(x76911,a881)),f313(f290(x76911),x76913)),f313(f290(x76911),x76912)))
% 119.46/119.25 [7692]~P3(x76921)+P1(f313(f313(f222(x76921),x76922),x76923))+~P1(f313(f313(f222(f890(x76921,a881)),f313(f287(x76921),x76922)),f313(f287(x76921),x76923)))
% 119.46/119.25 [7693]~P4(x76931)+P1(f313(f313(f222(x76931),x76932),x76933))+~P1(f313(f313(f222(f890(x76931,a881)),f313(f268(x76931),x76932)),f313(f268(x76931),x76933)))
% 119.46/119.25 [7694]~P4(x76941)+P1(f313(f313(f223(x76941),x76942),x76943))+~P1(f313(f313(f223(f890(x76941,a881)),f313(f268(x76941),x76942)),f313(f268(x76941),x76943)))
% 119.46/119.25 [7717]~P87(x77171)+~P1(f313(f313(f222(x77171),f313(f313(f3(x77171),x77172),x77173)),f2(x77171)))+P1(f313(f313(f222(x77171),x77172),x77173))
% 119.46/119.25 [7718]~P87(x77181)+~P1(f313(f313(f223(x77181),f313(f313(f3(x77181),x77182),x77183)),f2(x77181)))+P1(f313(f313(f223(x77181),x77182),x77183))
% 119.46/119.25 [7875]E(x78751,f2(a883))+~E(f313(f130(a883,a883,f73(a883),x78752),x78753),f2(a883))+~P1(f313(f313(f315(a883),x78751),f313(f160(a883),x78753)))
% 119.46/119.25 [7879]~P5(x78791)+~P1(f313(f313(f222(x78791),f631(x78793,x78792,x78791)),x78793))+P1(f313(f313(f222(x78791),f30(x78791,x78792)),x78793))
% 119.46/119.25 [8034]P1(f313(f313(f222(a1),f2(a1)),f686(x80341,x80342,x80343)))+P1(f313(f313(x80342,f313(f313(f29(a1),x80341),x80343)),f38(a1,x80341,x80343)))+~P1(f313(f313(f223(a1),f2(a1)),x80343))
% 119.46/119.25 [8122]E(x81221,x81222)+~E(f313(f179(f885(x81223)),x81221),f313(f179(f885(x81223)),x81222))+~P1(f313(f313(f245(x81223,x81223,a881),a310),f681(x81223,x81221,x81222)))
% 119.46/119.25 [8193]~P36(x81932,x81933)+E(x81931,f178(f890(x81932,a881)))+~P1(f313(f313(f222(f890(x81932,a881)),x81931),f313(f271(x81932,x81932,x81933),x81931)))
% 119.46/119.25 [8224]~P73(x82241)+~P1(f313(f313(f222(x82241),x82242),f313(f313(f73(x82241),x82243),f826(x82243,x82242,x82241))))+P1(f313(f313(f222(x82241),x82242),x82243))
% 119.46/119.25 [8259]P55(x82591,x82592,x82593)+P1(f313(f313(f315(x82591),f465(x82593,x82592,x82591)),x82592))+P1(f313(f313(f315(f889(x82591,x82591)),f466(x82593,x82592,x82591)),x82593))
% 119.46/119.25 [8280]P1(f313(f313(x82802,f313(f313(f29(a1),x82801),x82803)),f38(a1,x82801,x82803)))+~P1(f313(f313(f223(a1),f2(a1)),x82803))+P1(f313(f313(f223(a1),f686(x82801,x82802,x82803)),x82803))
% 119.46/119.25 [8304]E(f313(f296(a883,a883,f313(f313(f9(a883,a883,a883),f3(a883)),x83041)),f313(f288(a883,x83042),x83043)),f178(f890(a883,a881)))+P1(f313(f313(f223(a883),x83041),x83043))+P1(f313(f313(f223(a883),x83042),x83043))
% 119.46/119.25 [8412]E(f313(f296(a883,a883,f313(f313(f9(a883,a883,a883),f3(a883)),x84121)),f313(f288(a883,x84122),x84123)),f313(f313(f295(a883),f2(a883)),f178(f890(a883,a881))))+P1(f313(f313(f223(a883),x84121),x84123))+~P1(f313(f313(f223(a883),x84122),x84123))
% 119.46/119.25 [8426]~P4(x84261)+E(f137(x84261,x84261,f7(x84261),x84262,x84263),x84263)+~P1(f313(f313(f315(x84261),x84262),f313(f160(x84261),x84263)))
% 119.46/119.25 [8439]P24(x84391,x84391,x84392,x84393)+~P1(f313(f54(x84391),x84393))+~P1(f313(f313(f222(f890(x84391,a881)),x84393),f313(f296(x84391,x84391,x84392),x84393)))
% 119.46/119.25 [8465]E(f313(f313(f73(a1),f313(f313(f74(a1),x84651),f683(x84652,x84653,x84651))),f686(x84652,x84653,x84651)),x84652)+P1(f313(f313(x84653,f313(f313(f29(a1),x84652),x84651)),f38(a1,x84652,x84651)))+~P1(f313(f313(f223(a1),f2(a1)),x84651))
% 119.46/119.25 [8698]~P1(f313(f313(x86981,f683(x86982,x86981,x86983)),f686(x86982,x86981,x86983)))+P1(f313(f313(x86981,f313(f313(f29(a1),x86982),x86983)),f38(a1,x86982,x86983)))+~P1(f313(f313(f223(a1),f2(a1)),x86983))
% 119.46/119.25 [9566]~P1(f313(f54(x95661),x95662))+~P1(f313(f313(f315(x95661),x95663),x95662))+P1(f313(f313(f223(a883),f313(f28(x95661),f313(f313(f3(f890(x95661,a881)),x95662),f313(f313(f295(x95661),x95663),f178(f890(x95661,a881)))))),f313(f28(x95661),x95662)))
% 119.46/119.25 [10172]P55(x101721,x101722,x101723)+~P1(f313(f313(f245(x101721,x101721,a881),f313(f313(f9(x101721,f890(x101721,a881),f890(x101721,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x101721,a881),f890(x101721,a881)),x101721),f10(a881,a881,x101721)),f313(f313(f10(a881,f890(a881,a881),x101721),a311),f313(f313(f9(x101721,f890(x101721,a881),a881),f315(x101721)),x101722)))),f313(f313(f9(x101721,f890(x101721,a881),a881),f315(x101721)),x101722))),f466(x101723,x101722,x101721)))+P1(f313(f313(f315(x101721),f465(x101723,x101722,x101721)),x101722))
% 119.46/119.25 [5451]~P126(x54512)+E(x54511,f2(x54512))+E(f313(f313(f277(x54512),x54513),f313(f72(x54512),x54511)),f313(f72(x54512),f313(f313(f277(x54512),x54513),x54511)))
% 119.46/119.25 [5591]~E(x55913,f178(f890(x55911,a881)))+~E(x55912,f178(f890(x55911,a881)))+E(f313(f313(f92(f890(x55911,a881)),x55912),x55913),f178(f890(x55911,a881)))
% 119.46/119.25 [5649]~E(x56493,f2(a883))+~P1(f313(x56491,f2(a883)))+P1(f313(x56491,f313(f313(f29(a883),x56492),x56493)))
% 119.46/119.25 [5650]~E(x56503,f2(a883))+~P1(f313(x56501,f2(a883)))+P1(f313(x56501,f313(f313(f29(a883),x56502),x56503)))
% 119.46/119.25 [5803]~P73(x58032)+E(x58031,f2(x58032))+E(f313(f313(f277(x58032),f313(f69(x58032),x58033)),f313(f69(x58032),x58031)),f313(f69(x58032),f313(f313(f277(x58032),x58033),x58031)))
% 119.46/119.25 [5899]~P120(x58991)+~E(x58992,f71(x58991))+P1(f313(f313(f273(x58991),x58992),f313(f313(f232(x58991),x58992),x58993)))
% 119.46/119.25 [5920]~P66(x59201)+E(f313(f313(f74(x59201),x59202),f313(f313(f29(x59201),x59203),x59202)),x59203)+~P1(f313(f313(f273(x59201),x59202),x59203))
% 119.46/119.25 [5975]~P1(f313(f54(x59751),x59753))+E(f313(f28(x59751),f313(f313(f295(x59751),x59752),x59753)),f313(a103,f313(f28(x59751),x59753)))+P1(f313(f313(f315(x59751),x59752),x59753))
% 119.46/119.25 [5976]~P1(f313(f54(x59761),x59763))+E(f313(f28(x59761),f313(f313(f295(x59761),x59762),x59763)),f313(a103,f313(f28(x59761),x59763)))+P1(f313(f313(f315(x59761),x59762),x59763))
% 119.46/119.25 [6057]~E(x60572,f2(a883))+P1(f313(x60571,f2(a883)))+~P1(f313(x60571,f313(f313(f29(a883),x60573),x60572)))
% 119.46/119.25 [6074]~P1(f313(f54(x60741),x60743))+E(f313(f28(x60741),f313(f313(f295(x60741),x60742),x60743)),f313(f28(x60741),x60743))+~P1(f313(f313(f315(x60741),x60742),x60743))
% 119.46/119.25 [6110]~P1(f313(f54(x61101),x61103))+E(f313(f28(x61101),f313(f313(f295(x61101),x61102),x61103)),f313(f313(f73(a883),f71(a883)),f313(f28(x61101),x61103)))+P1(f313(f313(f315(x61101),x61102),x61103))
% 119.46/119.25 [6117]~P67(x61171)+E(f313(f313(f29(x61171),x61172),f313(f72(x61171),x61173)),f313(f72(x61171),f313(f313(f29(x61171),x61172),x61173)))+~P1(f313(f313(f273(x61171),x61173),x61172))
% 119.46/119.25 [6234]E(f313(f313(f73(a883),x62341),f497(x62341,x62342,x62343)),x62342)+~P1(f313(x62343,f2(a883)))+P1(f313(x62343,f313(f313(f3(a883),x62342),x62341)))
% 119.46/119.25 [6235]E(f313(f313(f73(a883),x62351),f514(x62351,x62352,x62353)),x62352)+~P1(f313(x62353,f2(a883)))+P1(f313(x62353,f313(f313(f3(a883),x62352),x62351)))
% 119.46/119.25 [6259]~P67(x62591)+E(f313(f313(f29(x62591),f313(f72(x62591),x62592)),x62593),f313(f72(x62591),f313(f313(f29(x62591),x62592),x62593)))+~P1(f313(f313(f273(x62591),x62593),x62592))
% 119.46/119.25 [6283]~P5(x62831)+~P1(f313(f54(x62831),x62833))+E(f313(f313(f57(x62831,x62831,f92(x62831)),x62832),x62833),f313(f313(f92(x62831),x62832),f30(x62831,x62833)))
% 119.46/119.25 [6284]~P5(x62841)+~P1(f313(f54(x62841),x62843))+E(f313(f313(f57(x62841,x62841,f93(x62841)),x62842),x62843),f313(f313(f93(x62841),x62842),f31(x62841,x62843)))
% 119.46/119.25 [6290]~P98(x62901)+~E(f313(f95(x62901),x62902),f313(f95(x62901),x62903))+P28(x62901,f313(f95(x62901),f313(f313(f73(a1),x62902),f313(f72(a1),x62903))))
% 119.46/119.25 [6299]~P144(x62991)+E(f313(f313(f3(x62991),f313(f91(x62991),x62992)),f313(f91(x62991),x62993)),f313(f91(x62991),f313(f313(f3(a883),x62992),x62993)))+~P1(f313(f313(f222(a883),x62993),x62992))
% 119.46/119.25 [6306]~P121(x63061)+~P1(f313(f313(f273(x63061),x63062),x63063))+P1(f313(f313(f273(x63061),f313(f72(x63061),x63062)),x63063))
% 119.46/119.25 [6307]~P115(x63071)+~P1(f313(f313(f273(x63071),x63072),x63073))+P1(f313(f313(f273(x63071),f313(f69(x63071),x63072)),x63073))
% 119.46/119.25 [6396]E(f313(f313(f73(a883),x63961),f497(x63961,x63962,x63963)),x63962)+P1(f313(f313(f223(a883),x63962),x63961))+P1(f313(x63963,f313(f313(f3(a883),x63962),x63961)))
% 119.46/119.25 [6397]E(f313(f313(f73(a883),x63971),f514(x63971,x63972,x63973)),x63972)+P1(f313(f313(f223(a883),x63972),x63971))+P1(f313(x63973,f313(f313(f3(a883),x63972),x63971)))
% 119.46/119.25 [6416]~P115(x64161)+E(f313(f313(f74(x64161),f313(f69(x64161),x64162)),x64163),f313(f69(x64161),f313(f313(f74(x64161),x64162),x64163)))+~P1(f313(f313(f222(x64161),f2(x64161)),x64163))
% 119.46/119.25 [6417]~P72(x64171)+E(f313(f313(f277(x64171),f313(f69(x64171),x64172)),x64173),f313(f69(x64171),f313(f313(f277(x64171),x64172),x64173)))+~P1(f313(f313(f223(x64171),f2(x64171)),x64173))
% 119.46/119.25 [6427]~P103(x64271)+~P1(f313(f54(x64271),x64273))+E(f313(f313(f57(x64271,x64271,f92(x64271)),x64272),x64273),f15(x64271,f313(f313(f295(x64271),x64272),x64273)))
% 119.46/119.25 [6428]~P4(x64281)+~P1(f313(f54(x64281),x64283))+E(f313(f313(f57(x64281,x64281,f177(x64281)),x64282),x64283),f16(x64281,f313(f313(f295(x64281),x64282),x64283)))
% 119.46/119.25 [6429]~P4(x64291)+~P1(f313(f54(x64291),x64293))+E(f313(f313(f57(x64291,x64291,f227(x64291)),x64292),x64293),f17(x64291,f313(f313(f295(x64291),x64292),x64293)))
% 119.46/119.25 [6430]~P103(x64301)+~P1(f313(f54(x64301),x64303))+E(f313(f313(f57(x64301,x64301,f93(x64301)),x64302),x64303),f12(x64301,f313(f313(f295(x64301),x64302),x64303)))
% 119.46/119.25 [6477]E(x64771,f104(x64772))+~E(f167(x64772,x64773),f104(f885(x64772)))+~P1(f313(f313(f315(f885(x64772)),x64771),f313(f160(f885(x64772)),x64773)))
% 119.46/119.25 [6496]~P120(x64961)+~P1(f313(f313(f223(a883),f2(a883)),x64963))+P1(f313(f313(f273(x64961),x64962),f313(f313(f232(x64961),x64962),x64963)))
% 119.46/119.25 [6524]~P1(f313(f125(x65241),x65243))+P1(f313(f313(f315(x65241),x65242),f313(f160(x65241),x65243)))+P1(f313(f125(x65241),f313(f313(f139(x65241),x65242),x65243)))
% 119.46/119.25 [6536]~P101(x65361)+~P1(f313(f54(x65361),x65363))+E(f313(f56(x65361,f74(x65361)),f313(f313(f295(x65361),x65362),x65363)),f313(f313(f57(x65361,x65361,f74(x65361)),x65362),x65363))
% 119.46/119.25 [6558]~P4(x65581)+~P1(f313(f54(x65581),x65583))+E(f13(x65581,f177(x65581),f313(f313(f295(x65581),x65582),x65583)),f313(f313(f57(x65581,x65581,f177(x65581)),x65582),x65583))
% 119.46/119.25 [6559]~P4(x65591)+~P1(f313(f54(x65591),x65593))+E(f14(x65591,f227(x65591),f313(f313(f295(x65591),x65592),x65593)),f313(f313(f57(x65591,x65591,f227(x65591)),x65592),x65593))
% 119.46/119.25 [6560]P1(f313(x65601,f2(a883)))+~P1(f313(f313(f223(a883),x65602),x65603))+~P1(f313(x65601,f313(f313(f3(a883),x65602),x65603)))
% 119.46/119.25 [6561]P1(f313(x65611,f2(a883)))+~P1(f313(f313(f223(a883),x65612),x65613))+~P1(f313(x65611,f313(f313(f3(a883),x65612),x65613)))
% 119.46/119.25 [6581]~P90(x65811)+P1(f313(f313(f222(x65811),x65812),x65813))+~P1(f313(f313(f222(x65811),f313(f69(x65811),x65812)),x65813))
% 119.46/119.25 [6582]~P90(x65821)+P1(f313(f313(f222(x65821),x65822),x65823))+~P1(f313(f313(f222(x65821),f313(f69(x65821),x65822)),x65823))
% 119.46/119.25 [6583]~P115(x65831)+P1(f313(f313(f223(x65831),x65832),x65833))+~P1(f313(f313(f223(x65831),f313(f69(x65831),x65832)),x65833))
% 119.46/119.25 [6584]~P115(x65841)+P1(f313(f313(f273(x65841),x65842),x65843))+~P1(f313(f313(f273(x65841),f313(f69(x65841),x65842)),x65843))
% 119.46/119.25 [6585]~P121(x65851)+P1(f313(f313(f273(x65851),x65852),x65853))+~P1(f313(f313(f273(x65851),f313(f72(x65851),x65852)),x65853))
% 119.46/119.25 [6602]E(x66021,f104(x66022))+E(f313(f129(x66022),f313(f313(f126(x66022),x66023),x66021)),f313(f313(f152(x66022),x66021),x66023))+~P1(f313(f313(f223(a883),x66023),f313(f179(f885(x66022)),x66021)))
% 119.46/119.25 [6663]~P1(f313(x66631,x66633))+P1(f313(x66631,f872(x66631,x66632)))+~P1(f313(f313(f315(a883),x66633),f313(f288(a883,f2(a883)),x66632)))
% 119.46/119.25 [6685]P1(f313(x66851,x66852))+~P1(f313(f313(f223(a883),x66852),x66853))+P1(f313(f313(f315(a883),f871(x66851,x66853)),f313(f288(a883,f2(a883)),x66853)))
% 119.46/119.25 [6701]~P114(x67011)+~P1(f313(f313(f222(x67011),f2(x67011)),x67012))+P1(f313(f313(f222(x67011),f2(x67011)),f313(f313(f232(x67011),x67012),x67013)))
% 119.46/119.25 [6703]~P114(x67031)+~P1(f313(f313(f222(x67031),f71(x67031)),x67032))+P1(f313(f313(f222(x67031),f71(x67031)),f313(f313(f232(x67031),x67032),x67033)))
% 119.46/119.25 [6704]~P114(x67041)+~P1(f313(f313(f223(x67041),f2(x67041)),x67042))+P1(f313(f313(f223(x67041),f2(x67041)),f313(f313(f232(x67041),x67042),x67043)))
% 119.46/119.25 [6730]~P1(f313(x67301,x67303))+~P1(f313(f313(f223(a883),x67303),x67302))+P1(f313(f313(f315(a883),f870(x67301,x67302)),f313(f288(a883,f2(a883)),x67302)))
% 119.46/119.25 [6738]P1(f313(f54(x67381),x67382))+~P1(f313(f54(x67381),x67383))+~P1(f313(f313(f222(f890(x67381,a881)),x67382),x67383))
% 119.46/119.25 [6739]P1(f313(f54(x67391),x67392))+~P1(f313(f54(x67391),x67393))+~P1(f313(f313(f222(f890(x67391,a881)),x67392),x67393))
% 119.46/119.25 [6747]~P1(f313(f313(f273(a883),x67471),x67472))+~P1(f313(f313(f273(a883),x67471),x67473))+P1(f313(f313(f273(a883),x67471),f313(f313(f3(a883),x67472),x67473)))
% 119.46/119.25 [6748]P1(f313(x67481,x67482))+~P1(f313(x67481,f868(x67481,x67483)))+~P1(f313(f313(f315(a883),x67482),f313(f288(a883,f2(a883)),x67483)))
% 119.46/119.25 [6761]E(x67611,f2(a883))+P1(f313(x67612,f666(x67611,x67613,x67612)))+~P1(f313(x67612,f313(f313(f29(a883),x67613),x67611)))
% 119.46/119.25 [6769]~P130(x67692)+E(x67691,f2(x67692))+~E(f313(f313(f73(x67692),f313(f313(f74(x67692),x67693),x67693)),f313(f313(f74(x67692),x67691),x67691)),f2(x67692))
% 119.46/119.25 [6770]~P130(x67702)+E(x67701,f2(x67702))+~E(f313(f313(f73(x67702),f313(f313(f74(x67702),x67701),x67701)),f313(f313(f74(x67702),x67703),x67703)),f2(x67702))
% 119.46/119.25 [6816]E(x68161,f2(a883))+~P1(f313(x68162,f650(x68161,x68163,x68162)))+P1(f313(x68162,f313(f313(f29(a883),x68163),x68161)))
% 119.46/119.25 [6821]~P4(x68211)+~P13(x68211,x68213)+P13(x68211,f313(f313(f136(x68211,x68211,f7(x68211)),x68212),x68213))
% 119.46/119.25 [6864]P1(f313(x68641,f666(x68642,x68643,x68641)))+P1(f313(x68641,f2(a883)))+~P1(f313(x68641,f313(f313(f29(a883),x68643),x68642)))
% 119.46/119.25 [6870]~P98(x68701)+E(f313(f95(x68701),x68702),f313(f95(x68701),x68703))+~P28(x68701,f313(f95(x68701),f313(f313(f73(a1),x68702),f313(f72(a1),x68703))))
% 119.46/119.25 [6942]E(x69421,f2(a1))+E(x69422,f2(a1))+~P1(f313(f42(x69422,x69422),f313(f313(f240(a1,a1),x69423),x69421)))
% 119.46/119.25 [6943]E(x69431,f71(a1))+E(x69432,f2(a1))+~P1(f313(f42(x69432,x69432),f313(f313(f240(a1,a1),x69431),x69433)))
% 119.46/119.25 [6960]P1(f313(x69601,x69602))+P1(f313(f313(f223(a883),f868(x69601,x69603)),x69603))+~P1(f313(f313(f315(a883),x69602),f313(f288(a883,f2(a883)),x69603)))
% 119.46/119.25 [6985]~P1(f313(x69851,f497(x69853,x69852,x69851)))+~P1(f313(x69851,f2(a883)))+P1(f313(x69851,f313(f313(f3(a883),x69852),x69853)))
% 119.46/119.25 [6986]~P1(f313(x69861,f514(x69863,x69862,x69861)))+~P1(f313(x69861,f2(a883)))+P1(f313(x69861,f313(f313(f3(a883),x69862),x69863)))
% 119.46/119.25 [6987]~P1(f313(x69871,f650(x69873,x69872,x69871)))+~P1(f313(x69871,f2(a883)))+P1(f313(x69871,f313(f313(f29(a883),x69872),x69873)))
% 119.46/119.25 [7006]~P1(f313(x70061,x70063))+P1(f313(f313(f223(a883),f872(x70061,x70062)),x70062))+~P1(f313(f313(f315(a883),x70063),f313(f288(a883,f2(a883)),x70062)))
% 119.46/119.25 [7007]E(f313(f313(f3(a883),f313(f313(f3(a883),x70071),x70072)),f313(f313(f3(a883),x70073),x70072)),f313(f313(f3(a883),x70071),x70073))+~P1(f313(f313(f222(a883),x70072),x70071))+~P1(f313(f313(f222(a883),x70072),x70073))
% 119.46/119.25 [7042]~P87(x70421)+~P1(f313(f313(f222(x70421),f313(f72(x70421),x70423)),x70422))+P1(f313(f313(f222(x70421),f313(f72(x70421),x70422)),x70423))
% 119.46/119.25 [7043]~P87(x70431)+~P1(f313(f313(f222(x70431),f313(f72(x70431),x70433)),x70432))+P1(f313(f313(f222(x70431),f313(f72(x70431),x70432)),x70433))
% 119.46/119.25 [7044]~P90(x70441)+~P1(f313(f313(f222(x70441),f313(f69(x70441),x70442)),x70443))+P1(f313(f313(f222(x70441),f313(f72(x70441),x70442)),x70443))
% 119.46/119.25 [7045]~P90(x70451)+~P1(f313(f313(f222(x70451),f313(f69(x70451),x70452)),x70453))+P1(f313(f313(f222(x70451),f313(f72(x70451),x70452)),x70453))
% 119.46/119.25 [7046]~P87(x70461)+~P1(f313(f313(f223(x70461),f313(f72(x70461),x70463)),x70462))+P1(f313(f313(f223(x70461),f313(f72(x70461),x70462)),x70463))
% 119.46/119.25 [7047]~P87(x70471)+~P1(f313(f313(f223(x70471),f313(f72(x70471),x70473)),x70472))+P1(f313(f313(f223(x70471),f313(f72(x70471),x70472)),x70473))
% 119.46/119.25 [7048]~P115(x70481)+~P1(f313(f313(f223(x70481),f313(f69(x70481),x70482)),x70483))+P1(f313(f313(f223(x70481),f313(f72(x70481),x70482)),x70483))
% 119.46/119.25 [7050]~P1(f313(f313(f273(a1),x70501),x70503))+P1(f313(f313(f273(a1),x70501),x70502))+~P1(f313(f313(f273(a1),x70501),f313(f313(f3(a1),x70502),x70503)))
% 119.46/119.25 [7081]~P1(f313(x70813,f497(x70812,x70811,x70813)))+P1(f313(f313(f223(a883),x70811),x70812))+P1(f313(x70813,f313(f313(f3(a883),x70811),x70812)))
% 119.46/119.25 [7082]~P1(f313(x70823,f514(x70822,x70821,x70823)))+P1(f313(f313(f223(a883),x70821),x70822))+P1(f313(x70823,f313(f313(f3(a883),x70821),x70822)))
% 119.46/119.25 [7134]~E(f634(x71343,x71342,x71341),f635(x71343,x71342,x71341))+E(f313(f313(f93(f890(x71341,a881)),x71342),f30(f890(x71341,a881),x71343)),f178(f890(x71341,a881)))+P1(f313(f313(f315(f890(x71341,a881)),x71342),x71343))
% 119.46/119.25 [7142]~P1(f313(f54(x71421),x71423))+P1(f313(f54(x71421),f31(f890(x71421,a881),x71422)))+~P1(f313(f313(f315(f890(x71421,a881)),x71423),x71422))
% 119.46/119.25 [7203]~P4(x72031)+E(f313(f313(f92(f890(x72031,a881)),f313(f288(x72031,x72032),x72033)),f313(f313(f295(x72031),x72033),f178(f890(x72031,a881)))),f289(x72031,x72032,x72033))+~P1(f313(f313(f222(x72031),x72032),x72033))
% 119.46/119.25 [7206]E(x72061,f2(a883))+P1(f313(f313(f223(a883),f656(x72061,x72063,x72062)),x72061))+P1(f313(x72062,f313(f313(f29(a883),x72063),x72061)))
% 119.46/119.25 [7236]P1(f313(f313(f223(a883),f313(f179(f885(x72361)),x72362)),f799(x72363,x72361)))+~P1(f313(f54(f885(x72361)),x72363))+~P1(f313(f313(f315(f885(x72361)),x72362),x72363))
% 119.46/119.25 [7241]E(x72411,x72412)+~P1(f313(f313(f222(f890(x72413,a881)),x72411),x72412))+P1(f313(f313(f223(f890(x72413,a881)),x72411),x72412))
% 119.46/119.25 [7242]E(x72421,x72422)+~P1(f313(f313(f222(f890(x72423,a881)),x72421),x72422))+P1(f313(f313(f223(f890(x72423,a881)),x72421),x72422))
% 119.46/119.25 [7253]E(x72531,x72532)+~E(f313(f179(f885(x72533)),x72531),f313(f179(f885(x72533)),x72532))+P1(f313(f313(f223(a883),f674(x72533,x72531,x72532)),f313(f179(f885(x72533)),x72532)))
% 119.46/119.25 [7302]P8(x73021,x73022,x73023)+~E(f313(f252(x73021,x73021),x73023),x73022)+~E(f313(f313(f275(x73021,x73021,x73021),f313(f272(x73021,x73021),x73023)),x73023),x73023)
% 119.46/119.25 [7382]E(x73821,f2(a1))+~P1(f313(f313(f273(a1),x73822),x73823))+P1(f313(f313(f273(a1),f313(f313(f74(a1),x73821),x73822)),f313(f313(f74(a1),x73821),x73823)))
% 119.46/119.25 [7384]~P1(f313(x73841,f2(a883)))+P1(f313(f313(f223(a883),f656(x73843,x73842,x73841)),x73843))+P1(f313(x73841,f313(f313(f29(a883),x73842),x73843)))
% 119.46/119.25 [7394]~P4(x73941)+E(f313(f313(f92(f890(x73941,a881)),f292(x73941,x73942,x73943)),f313(f313(f295(x73941),x73943),f178(f890(x73941,a881)))),f291(x73941,x73942,x73943))+~P1(f313(f313(f223(x73941),x73942),x73943))
% 119.46/119.25 [7489]~P1(f313(f54(x74891),x74893))+P1(f313(f313(f222(a883),f313(f28(x74891),x74892)),f313(f28(x74891),x74893)))+~P1(f313(f313(f222(f890(x74891,a881)),x74892),x74893))
% 119.46/119.25 [7490]~P1(f313(f54(x74901),x74903))+P1(f313(f313(f223(a883),f313(f28(x74901),x74902)),f313(f28(x74901),x74903)))+~P1(f313(f313(f223(f890(x74901,a881)),x74902),x74903))
% 119.46/119.25 [7624]E(x76241,x76242)+~P1(f313(f313(f222(f890(x76243,a881)),x76242),x76241))+~P1(f313(f313(f222(f890(x76243,a881)),x76241),x76242))
% 119.46/119.25 [7625]E(x76251,x76252)+~P1(f313(f313(f222(f890(x76253,a881)),x76252),x76251))+~P1(f313(f313(f222(f890(x76253,a881)),x76251),x76252))
% 119.46/119.25 [7628]~P4(x76281)+P13(x76281,x76282)+~P13(x76281,f313(f313(f136(x76281,x76281,f7(x76281)),x76283),x76282))
% 119.46/119.25 [7700]~P1(f313(f313(f223(a883),x77003),x77002))+~P1(f313(f313(f223(a883),x77003),x77001))+P1(f313(f313(f223(a883),f313(f313(f3(a883),x77001),x77002)),f313(f313(f3(a883),x77001),x77003)))
% 119.46/119.25 [7701]~P1(f313(f313(f222(a883),x77012),x77011))+~P1(f313(f313(f223(a883),x77011),x77013))+P1(f313(f313(f223(a883),f313(f313(f3(a883),x77011),x77012)),f313(f313(f3(a883),x77013),x77012)))
% 119.46/119.25 [7715]~P1(f313(f313(f223(a1),x77152),f2(a1)))+~P1(f313(f313(f222(a1),x77153),x77151))+P1(f313(f313(f222(a1),f313(f313(f29(a1),x77151),x77152)),f313(f313(f29(a1),x77153),x77152)))
% 119.46/119.25 [7731]~P1(f313(f313(f223(a883),f2(a883)),x77311))+~P1(f313(f313(f222(a883),x77312),x77313))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x77311),x77312)),f313(f313(f74(a883),x77311),x77313)))
% 119.46/119.25 [7732]~P1(f313(f313(f223(a883),f2(a883)),x77323))+~P1(f313(f313(f222(a883),x77323),x77322))+P1(f313(f313(f222(a883),f313(f313(f29(a883),x77321),x77322)),f313(f313(f29(a883),x77321),x77323)))
% 119.46/119.25 [7733]~P1(f313(f313(f223(a1),f2(a1)),x77332))+~P1(f313(f313(f222(a1),x77331),x77333))+P1(f313(f313(f222(a1),f313(f313(f29(a1),x77331),x77332)),f313(f313(f29(a1),x77333),x77332)))
% 119.46/119.25 [7734]~P1(f313(f313(f223(a883),f2(a883)),x77341))+~P1(f313(f313(f223(a883),x77342),x77343))+P1(f313(f313(f223(a883),f313(f313(f74(a883),x77341),x77342)),f313(f313(f74(a883),x77341),x77343)))
% 119.46/119.25 [7735]~P1(f313(f313(f223(a883),f2(a883)),x77351))+~P1(f313(f313(f223(a883),x77352),x77353))+P1(f313(f313(f223(a883),f313(f313(f74(a883),x77351),x77352)),f313(f313(f74(a883),x77351),x77353)))
% 119.46/119.25 [7736]~P1(f313(f313(f223(a883),f2(a883)),x77362))+~P1(f313(f313(f223(a883),x77361),x77363))+P1(f313(f313(f223(a883),f313(f313(f74(a883),x77361),x77362)),f313(f313(f74(a883),x77363),x77362)))
% 119.46/119.25 [7737]~P1(f313(f313(f223(a883),f2(a883)),x77372))+~P1(f313(f313(f223(a883),x77371),x77373))+P1(f313(f313(f223(a883),f313(f313(f74(a883),x77371),x77372)),f313(f313(f74(a883),x77373),x77372)))
% 119.46/119.25 [7738]~P1(f313(f313(f223(a883),f2(a883)),x77381))+~P1(f313(f313(f223(a883),x77382),x77383))+P1(f313(f313(f223(a883),f313(f313(f74(a883),x77381),x77382)),f313(f313(f74(a883),x77381),x77383)))
% 119.46/119.25 [7739]~P1(f313(f313(f223(a1),f2(a1)),x77391))+~P1(f313(f313(f223(a1),x77392),x77393))+P1(f313(f313(f223(a1),f313(f313(f74(a1),x77391),x77392)),f313(f313(f74(a1),x77391),x77393)))
% 119.46/119.25 [7740]~P1(f313(f313(f223(a883),f2(a883)),x77401))+~P1(f313(f313(f273(a883),x77402),x77403))+P1(f313(f313(f273(a883),f313(f313(f74(a883),x77401),x77402)),f313(f313(f74(a883),x77401),x77403)))
% 119.46/119.25 [7789]E(x77891,f2(a883))+E(f313(f313(f73(a883),f313(f313(f74(a883),x77891),f650(x77891,x77892,x77893))),f656(x77891,x77892,x77893)),x77892)+P1(f313(x77893,f313(f313(f29(a883),x77892),x77891)))
% 119.46/119.25 [7848]E(f313(f313(f73(a883),f313(f313(f74(a883),x78481),f650(x78481,x78482,x78483))),f656(x78481,x78482,x78483)),x78482)+~P1(f313(x78483,f2(a883)))+P1(f313(x78483,f313(f313(f29(a883),x78482),x78481)))
% 119.46/119.25 [7866]~P1(f313(f54(x78661),x78663))+P1(f313(f313(f315(x78661),f423(x78662,x78663,x78661)),x78663))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f11(x78661,a883),x78662),x78663)))
% 119.46/119.25 [7867]~P1(f313(f54(x78671),x78673))+P1(f313(f313(f315(x78671),f530(x78672,x78673,x78671)),x78673))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f11(x78671,a883),x78672),x78673)))
% 119.46/119.25 [7967]E(x79671,f2(a883))+P1(f313(f313(f273(a883),x79672),x79673))+~P1(f313(f313(f273(a883),f313(f313(f74(a883),x79671),x79672)),f313(f313(f74(a883),x79671),x79673)))
% 119.46/119.25 [7968]E(x79681,f2(a1))+P1(f313(f313(f273(a1),x79682),x79683))+~P1(f313(f313(f273(a1),f313(f313(f74(a1),x79681),x79682)),f313(f313(f74(a1),x79681),x79683)))
% 119.46/119.25 [7969]E(x79691,f2(a1))+P1(f313(f313(f273(a1),x79692),x79693))+~P1(f313(f313(f273(a1),f313(f313(f74(a1),x79691),x79692)),f313(f313(f74(a1),x79691),x79693)))
% 119.46/119.25 [8157]E(x81571,f178(f890(x81572,a881)))+E(x81571,f313(f313(f295(x81572),x81573),f178(f890(x81572,a881))))+~P1(f313(f313(f222(f890(x81572,a881)),x81571),f313(f313(f295(x81572),x81573),f178(f890(x81572,a881)))))
% 119.46/119.25 [8182]~P4(x81821)+~P13(x81821,x81823)+P13(x81821,f313(f313(f126(x81821),f313(f179(f885(x81821)),f165(x81821,x81822,x81823))),x81823))
% 119.46/119.25 [8194]~P1(f313(f313(f223(a883),f2(a883)),x81943))+P1(f313(f313(f222(a883),x81941),x81942))+~P1(f313(f313(f222(a883),f313(f313(f74(a883),x81943),x81941)),f313(f313(f74(a883),x81943),x81942)))
% 119.46/119.25 [8195]~P1(f313(f313(f223(a883),f2(a883)),x81953))+P1(f313(f313(f222(a883),x81951),x81952))+~P1(f313(f313(f222(a883),f313(f313(f74(a883),x81953),x81951)),f313(f313(f74(a883),x81953),x81952)))
% 119.46/119.25 [8196]~P1(f313(f313(f223(a883),f71(a883)),x81963))+P1(f313(f313(f222(a883),x81961),x81962))+~P1(f313(f313(f273(a883),f313(f313(f232(a883),x81963),x81961)),f313(f313(f232(a883),x81963),x81962)))
% 119.46/119.25 [8197]~P1(f313(f313(f223(a883),f2(a883)),x81973))+P1(f313(f313(f222(a883),x81971),x81972))+~P1(f313(f313(f222(a883),f313(f313(f74(a883),x81971),x81973)),f313(f313(f74(a883),x81972),x81973)))
% 119.46/119.25 [8198]~P1(f313(f313(f223(a883),f2(a883)),x81983))+P1(f313(f313(f223(a883),x81981),x81982))+~P1(f313(f313(f223(a883),f313(f313(f232(a883),x81983),x81981)),f313(f313(f232(a883),x81983),x81982)))
% 119.46/119.25 [8199]~P1(f313(f313(f223(a883),f2(a883)),x81993))+P1(f313(f313(f223(a883),x81991),x81992))+~P1(f313(f313(f223(a883),f313(f313(f74(a883),x81993),x81991)),f313(f313(f74(a883),x81993),x81992)))
% 119.46/119.25 [8200]~P1(f313(f313(f223(a883),f2(a883)),x82003))+P1(f313(f313(f273(a883),x82001),x82002))+~P1(f313(f313(f273(a883),f313(f313(f74(a883),x82003),x82001)),f313(f313(f74(a883),x82003),x82002)))
% 119.46/119.25 [8201]~P1(f313(f313(f223(a883),f2(a883)),x82013))+P1(f313(f313(f273(a883),x82011),x82012))+~P1(f313(f313(f273(a883),f313(f313(f74(a883),x82013),x82011)),f313(f313(f74(a883),x82013),x82012)))
% 119.46/119.25 [8240]~E(f313(f313(f93(f890(x82401,a881)),f635(x82403,x82402,x82401)),f634(x82403,x82402,x82401)),f178(f890(x82401,a881)))+E(f313(f313(f93(f890(x82401,a881)),x82402),f30(f890(x82401,a881),x82403)),f178(f890(x82401,a881)))+P1(f313(f313(f315(f890(x82401,a881)),x82402),x82403))
% 119.46/119.25 [8253]E(x82531,f104(x82532))+~E(f313(f130(f885(x82532),f885(x82532),f122(x82532),f104(x82532)),x82533),f104(x82532))+~P1(f313(f313(f315(f885(x82532)),x82531),f313(f160(f885(x82532)),x82533)))
% 119.46/119.25 [8254]E(x82541,f104(x82542))+~E(f313(f130(f885(x82542),f885(x82542),f122(x82542),f104(x82542)),x82543),f104(x82542))+~P1(f313(f313(f315(f885(x82542)),x82541),f313(f160(f885(x82542)),x82543)))
% 119.46/119.25 [8309]E(x83091,f178(f890(f890(x83092,a881),a881)))+P1(f313(f313(f315(f890(x83092,a881)),f632(x83093,x83091,x83092)),x83091))+P1(f313(f313(f222(f890(x83092,a881)),f31(f890(x83092,a881),x83091)),x83093))
% 119.46/119.25 [8315]~P75(x83151)+~P79(x83151)+E(f313(f313(f8(a1,x83151),f313(f313(f10(a883,x83151,a1),x83152),a96)),f313(f296(a883,a1,f91(a1)),x83153)),f313(f313(f8(a883,x83151),x83152),x83153))
% 119.46/119.25 [8316]~P75(x83161)+~P79(x83161)+E(f313(f313(f11(a1,x83161),f313(f313(f10(a883,x83161,a1),x83162),a96)),f313(f296(a883,a1,f91(a1)),x83163)),f313(f313(f11(a883,x83161),x83162),x83163))
% 119.46/119.25 [8357]~P1(f313(f54(x83571),x83573))+~P1(f313(f313(f223(a883),f2(a883)),f313(x83572,f423(x83572,x83573,x83571))))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f11(x83571,a883),x83572),x83573)))
% 119.46/119.25 [8358]~P1(f313(f54(x83581),x83583))+~P1(f313(f313(f223(a883),f2(a883)),f313(x83582,f530(x83582,x83583,x83581))))+P1(f313(f313(f223(a883),f2(a883)),f313(f313(f11(x83581,a883),x83582),x83583)))
% 119.46/119.25 [8393]~P71(x83932)+E(x83931,f71(x83932))+E(f313(f313(f277(x83932),f313(f313(f3(x83932),f313(f313(f232(x83932),x83931),x83933)),f71(x83932))),f313(f313(f3(x83932),x83931),f71(x83932))),f313(f313(f8(a883,x83932),f313(f232(x83932),x83931)),f313(f288(a883,f2(a883)),x83933)))
% 119.46/119.25 [8450]E(x84501,f2(a883))+~P1(f313(x84503,f313(f313(f29(a883),x84502),x84501)))+P1(f313(f313(f223(a883),x84502),f313(f313(f74(a883),x84501),f313(a103,f666(x84501,x84502,x84503)))))
% 119.46/119.25 [8469]P1(f313(x84691,f2(a883)))+~P1(f313(x84691,f313(f313(f29(a883),x84692),x84693)))+P1(f313(f313(f223(a883),x84692),f313(f313(f74(a883),x84693),f313(a103,f666(x84693,x84692,x84691)))))
% 119.46/119.25 [8507]E(x85071,f2(a883))+~P1(f313(x85073,f313(f313(f29(a883),x85072),x85071)))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x85071),f666(x85071,x85072,x85073))),x85072))
% 119.46/119.25 [8540]P1(f313(x85401,f2(a883)))+~P1(f313(x85401,f313(f313(f29(a883),x85403),x85402)))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x85402),f666(x85402,x85403,x85401))),x85403))
% 119.46/119.25 [8548]~P4(x85481)+E(f313(f313(f136(x85481,x85481,f7(x85481)),x85482),x85483),f137(x85481,x85481,f7(x85481),x85482,x85483))+P1(f313(f313(f315(x85481),x85482),f313(f160(x85481),x85483)))
% 119.46/119.25 [8585]~E(f313(x85853,f572(x85852,x85853,x85851)),f313(x85853,f574(x85852,x85853,x85851)))+~P62(x85851,f313(x85853,f573(x85852,x85853,x85851)))+P62(x85851,f313(f313(f33(x85852,f890(x85851,f890(x85851,a881))),f230(f890(x85852,a881))),x85853))
% 119.46/119.25 [8594]E(x85941,f178(f890(f890(x85942,a881),a881)))+~P1(f313(f313(f222(f890(x85942,a881)),f632(x85943,x85941,x85942)),x85943))+P1(f313(f313(f222(f890(x85942,a881)),f31(f890(x85942,a881),x85941)),x85943))
% 119.46/119.25 [8652]~P73(x86521)+~P1(f313(f313(f223(x86521),x86522),x86523))+P1(f313(f313(f223(x86521),x86522),f313(f313(f277(x86521),f313(f313(f73(x86521),x86522),x86523)),f313(f313(f73(x86521),f71(x86521)),f71(x86521)))))
% 119.46/119.25 [8704]~P1(f313(f313(x87041,f843(x87041,x87043,x87042)),f844(x87041,x87043,x87042)))+P1(f313(f313(x87041,x87042),x87043))+~P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),x87042),x87043)))
% 119.46/119.25 [8705]~P1(f313(f313(x87051,f845(x87051,x87053,x87052)),f846(x87051,x87053,x87052)))+P1(f313(f313(x87051,x87052),x87053))+~P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),x87052),x87053)))
% 119.46/119.25 [8706]~P1(f313(f313(x87061,f847(x87061,x87063,x87062)),f850(x87061,x87063,x87062)))+P1(f313(f313(x87061,x87062),x87063))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x87062),x87063)))
% 119.46/119.25 [8707]~P1(f313(f313(x87071,f851(x87071,x87073,x87072)),f854(x87071,x87073,x87072)))+P1(f313(f313(x87071,x87072),x87073))+~P1(f313(f301(f889(a883,a883),a209),f313(f313(f240(a883,a883),x87072),x87073)))
% 119.46/119.25 [8708]~P1(f313(f313(x87081,f344(x87081,x87083,x87082)),f346(x87081,x87083,x87082)))+P1(f313(f313(x87081,x87082),x87083))+~P1(f313(f301(f889(a1,a1),a170),f313(f313(f240(a1,a1),x87082),x87083)))
% 119.46/119.25 [8709]~P1(f313(f313(x87091,f752(x87091,x87093,x87092)),f753(x87091,x87093,x87092)))+P1(f313(f313(x87091,x87092),x87093))+~P1(f313(f301(f889(a1,a1),a121),f313(f313(f240(a1,a1),x87092),x87093)))
% 119.46/119.25 [8966]P1(f313(f313(x89661,x89662),x89663))+P1(f313(f301(f889(a883,a883),a209),f313(f313(f240(a883,a883),f851(x89661,x89663,x89662)),f854(x89661,x89663,x89662))))+~P1(f313(f301(f889(a883,a883),a209),f313(f313(f240(a883,a883),x89662),x89663)))
% 119.46/119.25 [8967]P1(f313(f313(x89671,x89672),x89673))+P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),f843(x89671,x89673,x89672)),f844(x89671,x89673,x89672))))+~P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),x89672),x89673)))
% 119.46/119.25 [8968]P1(f313(f313(x89681,x89682),x89683))+P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),f845(x89681,x89683,x89682)),f846(x89681,x89683,x89682))))+~P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),x89682),x89683)))
% 119.46/119.25 [8969]P1(f313(f313(x89691,x89692),x89693))+P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),f847(x89691,x89693,x89692)),f850(x89691,x89693,x89692))))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x89692),x89693)))
% 119.46/119.25 [8970]P1(f313(f313(x89701,x89702),x89703))+P1(f313(f301(f889(a1,a1),a170),f313(f313(f240(a1,a1),f344(x89701,x89703,x89702)),f346(x89701,x89703,x89702))))+~P1(f313(f301(f889(a1,a1),a170),f313(f313(f240(a1,a1),x89702),x89703)))
% 119.46/119.25 [8971]P1(f313(f313(x89711,x89712),x89713))+P1(f313(f301(f889(a1,a1),a121),f313(f313(f240(a1,a1),f752(x89711,x89713,x89712)),f753(x89711,x89713,x89712))))+~P1(f313(f301(f889(a1,a1),a121),f313(f313(f240(a1,a1),x89712),x89713)))
% 119.46/119.25 [9302]~P1(f313(f54(x93021),x93023))+P1(f313(f313(f315(f889(f890(x93021,a881),f890(x93021,a881))),f313(f313(f240(f890(x93021,a881),f890(x93021,a881)),x93022),x93023)),f300(x93021)))+~P1(f313(f313(f223(f890(x93021,a881)),x93022),x93023))
% 119.46/119.25 [9376]~P62(x93761,f313(x93763,f573(x93762,x93763,x93761)))+P62(x93761,f313(f313(f33(x93762,f890(x93761,f890(x93761,a881))),f230(f890(x93762,a881))),x93763))+~E(f313(f313(f93(f890(x93761,a881)),f237(x93761,x93761,f313(x93763,f572(x93762,x93763,x93761)))),f238(x93761,x93761,f313(x93763,f574(x93762,x93763,x93761)))),f178(f890(x93761,a881)))
% 119.46/119.25 [9578]P55(x95781,x95782,x95783)+P1(f313(f313(f315(f889(x95781,x95781)),f466(x95783,x95782,x95781)),x95783))+~P1(f313(f313(f315(f889(x95781,x95781)),f313(f313(f240(x95781,x95781),f465(x95783,x95782,x95781)),f465(x95783,x95782,x95781))),x95783))
% 119.46/119.25 [10174]P55(x101741,x101742,x101743)+~P1(f313(f313(f245(x101741,x101741,a881),f313(f313(f9(x101741,f890(x101741,a881),f890(x101741,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x101741,a881),f890(x101741,a881)),x101741),f10(a881,a881,x101741)),f313(f313(f10(a881,f890(a881,a881),x101741),a311),f313(f313(f9(x101741,f890(x101741,a881),a881),f315(x101741)),x101742)))),f313(f313(f9(x101741,f890(x101741,a881),a881),f315(x101741)),x101742))),f466(x101743,x101742,x101741)))+~P1(f313(f313(f315(f889(x101741,x101741)),f313(f313(f240(x101741,x101741),f465(x101743,x101742,x101741)),f465(x101743,x101742,x101741))),x101743))
% 119.46/119.25 [5632]~P66(x56322)+E(x56321,f2(x56322))+E(f313(f313(f29(x56322),f313(f313(f74(x56322),x56323),x56321)),x56321),x56323)
% 119.46/119.25 [5633]~P66(x56332)+E(x56331,f2(x56332))+E(f313(f313(f29(x56332),f313(f313(f74(x56332),x56331),x56333)),x56331),x56333)
% 119.46/119.25 [6300]~P66(x63001)+E(f313(f313(f74(x63001),f313(f313(f29(x63001),x63002),x63003)),x63003),x63002)+~P1(f313(f313(f273(x63001),x63003),x63002))
% 119.46/119.25 [6476]~P79(x64761)+~E(f313(x64762,f2(a883)),f2(x64761))+E(f313(f313(f8(a883,x64761),x64762),f313(f288(a883,f313(a103,f2(a883))),x64763)),f313(f313(f8(a883,x64761),x64762),f313(f288(a883,f2(a883)),x64763)))
% 119.46/119.25 [6619]~P66(x66192)+E(x66191,f2(x66192))+E(f313(f313(f29(x66192),f313(f313(f73(x66192),x66193),x66191)),x66191),f313(f313(f73(x66192),f313(f313(f29(x66192),x66193),x66191)),f71(x66192)))
% 119.46/119.25 [6620]~P66(x66202)+E(x66201,f2(x66202))+E(f313(f313(f29(x66202),f313(f313(f73(x66202),x66201),x66203)),x66201),f313(f313(f73(x66202),f313(f313(f29(x66202),x66203),x66201)),f71(x66202)))
% 119.46/119.25 [6853]~P1(f313(x68533,f2(a1)))+P1(f313(f313(f222(a883),x68531),x68532))+P1(f313(x68533,f313(f91(a1),f313(f313(f3(a883),x68532),x68531))))
% 119.46/119.25 [6966]P1(f313(f313(f223(a883),x69662),x69661))+P1(f313(f313(f222(a883),x69661),x69662))+P1(f313(x69663,f313(f91(a1),f313(f313(f3(a883),x69662),x69661))))
% 119.46/119.25 [7041]E(f313(f313(f73(a883),f313(f95(a883),x70411)),f313(f313(f73(a883),f313(f95(a883),x70412)),x70413)),f313(f313(f73(a883),f313(f95(a883),x70411)),x70413))+P1(f313(a183,f313(f95(a1),x70411)))+~P1(f313(a183,f313(f95(a1),x70412)))
% 119.46/119.25 [7121]~E(x71212,f313(f313(f29(a883),x71213),x71211))+~P1(f313(f313(f223(a883),f2(a883)),x71211))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x71211),x71212)),x71213))
% 119.46/119.25 [7238]~P1(f313(f54(x72381),x72383))+~P1(f313(f54(x72381),x72382))+P1(f313(f54(x72381),f313(f313(f3(f890(x72381,a881)),x72382),x72383)))
% 119.46/119.25 [7239]~P1(f313(f54(x72391),x72393))+~P1(f313(f54(x72391),x72392))+P1(f313(f54(x72391),f313(f313(f92(f890(x72391,a881)),x72392),x72393)))
% 119.46/119.25 [7240]~P1(f313(f54(x72401),x72403))+~P1(f313(f54(x72401),x72402))+P1(f313(f54(x72401),f313(f313(f92(f890(x72401,a881)),x72402),x72403)))
% 119.46/119.25 [7287]~P37(x72871,x72873)+~P37(x72871,x72872)+P37(x72871,f313(f313(f93(f890(f889(x72871,x72871),a881)),x72872),x72873))
% 119.46/119.25 [7288]~P54(x72881,x72883)+~P54(x72881,x72882)+P54(x72881,f313(f313(f92(f890(f889(x72881,x72881),a881)),x72882),x72883))
% 119.46/119.25 [7289]~P54(x72891,x72893)+~P54(x72891,x72892)+P54(x72891,f313(f313(f93(f890(f889(x72891,x72891),a881)),x72892),x72893))
% 119.46/119.25 [7539]~P4(x75391)+~P1(f313(f54(x75391),x75392))+E(f127(x75391,f313(f313(f3(f890(x75391,a881)),x75392),f313(f313(f295(x75391),x75393),f178(f890(x75391,a881))))),f158(x75391,x75393,f127(x75391,x75392)))
% 119.46/119.25 [7604]P1(f313(x76041,f2(a1)))+~P1(f313(f313(f223(a883),x76042),x76043))+~P1(f313(x76041,f313(f91(a1),f313(f313(f3(a883),x76042),x76043))))
% 119.46/119.25 [7622]~P1(f313(f54(x76221),x76222))+E(f313(f28(x76221),f313(f313(f3(f890(x76221,a881)),x76222),f313(f313(f295(x76221),x76223),f178(f890(x76221,a881))))),f313(f28(x76221),x76222))+P1(f313(f313(f315(x76221),x76223),x76222))
% 119.46/119.25 [7756]~P114(x77561)+~P1(f313(f313(f223(x77561),f71(x77561)),x77562))+P1(f313(f313(f223(x77561),f71(x77561)),f313(f313(f74(x77561),x77562),f313(f313(f232(x77561),x77562),x77563))))
% 119.46/119.25 [7799]~P1(f313(f54(x77991),x77993))+E(f313(f313(f3(a883),f313(f28(x77991),x77992)),f313(f28(x77991),x77993)),f313(f28(x77991),f313(f313(f3(f890(x77991,a881)),x77992),x77993)))+~P1(f313(f313(f222(f890(x77991,a881)),x77993),x77992))
% 119.46/119.25 [7856]~P1(f313(f313(f222(a883),x78562),x78563))+~P1(f313(f313(f222(a883),x78561),f313(f313(f3(a883),x78563),x78562)))+P1(f313(f313(f222(a883),f313(f313(f73(a883),x78561),x78562)),x78563))
% 119.46/119.25 [7911]P1(f313(f54(x79111),x79112))+~P1(f313(f54(x79111),x79113))+~P1(f313(f54(x79111),f313(f313(f3(f890(x79111,a881)),x79112),x79113)))
% 119.46/119.25 [7916]~P1(f313(f54(x79161),x79162))+E(f313(f28(x79161),f313(f313(f3(f890(x79161,a881)),x79162),f313(f313(f295(x79161),x79163),f178(f890(x79161,a881))))),f313(f313(f3(a883),f313(f28(x79161),x79162)),f71(a883)))+~P1(f313(f313(f315(x79161),x79163),x79162))
% 119.46/119.25 [7917]~P1(f313(f54(x79171),x79172))+E(f313(f28(x79171),f313(f313(f3(f890(x79171,a881)),x79172),f313(f313(f295(x79171),x79173),f178(f890(x79171,a881))))),f313(f313(f3(a883),f313(f28(x79171),x79172)),f71(a883)))+~P1(f313(f313(f315(x79171),x79173),x79172))
% 119.46/119.25 [7994]P62(x79941,x79942)+~P62(x79941,x79943)+~P1(f313(f313(f222(f890(x79941,f890(x79941,a881))),x79942),x79943))
% 119.46/119.25 [8033]~P1(f313(f313(f222(a883),x80333),x80332))+P1(f313(f313(f222(a883),x80331),f313(f313(f3(a883),x80332),x80333)))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),x80331),x80333)),x80332))
% 119.46/119.25 [8051]P36(x80511,x80512)+~P36(x80511,x80513)+~P1(f313(f313(f222(f890(f889(x80511,x80511),a881)),x80512),x80513))
% 119.46/119.25 [8052]P60(x80521,x80522)+~P60(x80521,x80523)+~P1(f313(f313(f222(f890(f889(x80521,x80521),a881)),x80522),x80523))
% 119.46/119.25 [8053]P38(x80531,x80532)+~P38(x80531,x80533)+~P1(f313(f313(f222(f890(f889(x80531,x80531),a881)),x80532),x80533))
% 119.46/119.25 [8287]~P114(x82871)+~P1(f313(f313(f223(x82871),f71(x82871)),x82872))+P1(f313(f313(f223(x82871),f313(f313(f232(x82871),x82872),x82873)),f313(f313(f74(x82871),x82872),f313(f313(f232(x82871),x82872),x82873))))
% 119.46/119.25 [8376]~P1(f313(x83761,f2(a1)))+~P1(f313(x83761,f313(f313(f3(a1),f313(f91(a1),x83762)),f313(f91(a1),x83763))))+P1(f313(x83761,f313(f91(a1),f313(f313(f3(a883),x83762),x83763))))
% 119.46/119.25 [8389]~P1(f313(f313(f222(a883),x83893),x83892))+P1(f313(x83891,f313(f313(f3(a1),f313(f91(a1),x83892)),f313(f91(a1),x83893))))+~P1(f313(x83891,f313(f91(a1),f313(f313(f3(a883),x83892),x83893))))
% 119.46/119.25 [8409]P1(f313(f313(f223(a883),x84091),x84092))+~P1(f313(x84093,f313(f313(f3(a1),f313(f91(a1),x84091)),f313(f91(a1),x84092))))+P1(f313(x84093,f313(f91(a1),f313(f313(f3(a883),x84091),x84092))))
% 119.46/119.25 [8462]~P130(x84622)+E(x84621,f2(x84622))+P1(f313(f313(f223(x84622),f2(x84622)),f313(f313(f73(x84622),f313(f313(f74(x84622),x84623),x84623)),f313(f313(f74(x84622),x84621),x84621))))
% 119.46/119.25 [8463]~P130(x84632)+E(x84631,f2(x84632))+P1(f313(f313(f223(x84632),f2(x84632)),f313(f313(f73(x84632),f313(f313(f74(x84632),x84631),x84631)),f313(f313(f74(x84632),x84633),x84633))))
% 119.46/119.25 [8567]~P1(f313(f313(f223(a883),f2(a883)),x85671))+~P1(f313(f313(f223(a1),x85672),x85673))+P1(f313(f313(f223(a1),f313(f313(f74(a1),f313(f91(a1),x85671)),x85672)),f313(f313(f74(a1),f313(f91(a1),x85671)),x85673)))
% 119.46/119.25 [8622]E(f313(f313(f93(f890(x86221,a881)),x86222),f30(f890(x86221,a881),x86223)),f178(f890(x86221,a881)))+P1(f313(f313(f315(f890(x86221,a881)),x86222),x86223))+P1(f313(f313(f315(f890(x86221,a881)),f635(x86223,x86222,x86221)),f313(f313(f295(f890(x86221,a881)),x86222),x86223)))
% 119.46/119.25 [8623]E(f313(f313(f93(f890(x86231,a881)),x86232),f30(f890(x86231,a881),x86233)),f178(f890(x86231,a881)))+P1(f313(f313(f315(f890(x86231,a881)),x86232),x86233))+P1(f313(f313(f315(f890(x86231,a881)),f634(x86233,x86232,x86231)),f313(f313(f295(f890(x86231,a881)),x86232),x86233)))
% 119.46/119.25 [8651]E(x86511,x86512)+~E(f313(f179(f885(x86513)),x86511),f313(f179(f885(x86513)),x86512))+P1(f313(f313(f315(f889(x86513,x86513)),f681(x86513,x86511,x86512)),f313(f160(f889(x86513,x86513)),f313(f313(f169(x86513,x86513),x86512),x86511))))
% 119.46/119.25 [8878]E(f293(x88781,x88782),f293(x88781,x88783))+~P1(f313(f313(f222(f890(f889(x88781,x88781),a881)),x88783),f293(x88781,x88782)))+~P1(f313(f313(f222(f890(f889(x88781,x88781),a881)),x88782),x88783))
% 119.46/119.25 [8946]~P55(x89461,f230(f890(x89461,a881)),x89463)+P1(f313(f313(f222(f890(f889(f885(x89461),f885(x89461)),a881)),f145(x89461,x89462)),f146(x89461,x89463)))+~P1(f313(f313(f222(f890(f889(x89461,x89461),a881)),x89462),x89463))
% 119.46/119.25 [9139]P36(x91391,x91392)+~P1(f313(f313(f315(x91391),x91393),f640(x91392,x91391)))+P1(f313(f313(f315(f889(x91391,x91391)),f313(f313(f240(x91391,x91391),f651(x91392,x91391,x91393)),x91393)),x91392))
% 119.46/119.25 [9175]~P1(f313(f54(x91751),x91752))+P1(f313(f54(f890(x91751,a881)),f313(f313(f53(x91751),x91752),x91753)))+~P1(f313(f313(f222(f890(f889(x91751,x91751),a881)),x91753),f313(f313(f242(x91751,x91751),x91752),f313(f18(f890(x91751,a881),x91751),x91752))))
% 119.46/119.25 [9211]P55(x92111,x92112,x92113)+P1(f313(f313(f315(x92111),f500(x92113,x92112,x92111)),x92112))+~P1(f313(f313(f222(f890(f889(x92111,x92111),a881)),x92113),f313(f313(f242(x92111,x92111),x92112),f313(f18(f890(x92111,a881),x92111),x92112))))
% 119.46/119.25 [9212]P55(x92121,x92122,x92123)+P1(f313(f313(f315(x92121),f515(x92122,x92123,x92121)),x92122))+~P1(f313(f313(f222(f890(f889(x92121,x92121),a881)),x92123),f313(f313(f242(x92121,x92121),x92122),f313(f18(f890(x92121,a881),x92121),x92122))))
% 119.46/119.25 [9247]~P73(x92471)+~P1(f313(f313(f223(x92471),x92472),x92473))+P1(f313(f313(f223(x92471),f313(f313(f277(x92471),f313(f313(f73(x92471),x92472),x92473)),f313(f313(f73(x92471),f71(x92471)),f71(x92471)))),x92473))
% 119.46/119.25 [9274]~P72(x92741)+P1(f313(f313(f222(x92741),x92742),x92743))+~P1(f313(f313(f222(x92741),f313(f313(f74(x92741),f485(x92743,x92742,x92741)),x92742)),x92743))
% 119.46/119.25 [9410]E(f313(f179(f885(f885(x94101))),f313(f124(f885(x94101),f313(f313(f10(a883,a881,f885(x94101)),f313(f223(a883),x94102)),f179(f885(x94101)))),f167(x94101,x94103))),f313(f179(f885(x94101)),f313(f313(f152(f885(x94101)),x94103),x94102)))+~P13(a883,f313(f156(a883),f313(f313(f142(f885(x94101),a883),f179(f885(x94101))),x94103)))+~P1(f313(f313(f223(a883),x94102),f313(f179(f885(f885(x94101))),x94103)))
% 119.46/119.25 [9531]~P36(x95311,x95312)+P25(x95311,f313(f313(f240(f890(f889(x95311,x95311),a881),f890(f889(x95311,x95311),a881)),x95312),x95313))+~P1(f313(f313(f222(f890(f889(x95311,x95311),a881)),f313(f313(f275(x95311,x95311,x95311),x95312),x95313)),x95312))
% 119.46/119.25 [9536]E(f313(f313(f142(f885(x95361),x95361),f313(f313(f9(f885(x95361),a883,x95361),f152(x95361)),x95362)),f313(f124(f885(x95361),f313(f313(f10(a883,a881,f885(x95361)),f313(f223(a883),x95362)),f179(f885(x95361)))),f167(x95361,x95363))),f313(f313(f152(f885(x95361)),x95363),x95362))+~P13(a883,f313(f156(a883),f313(f313(f142(f885(x95361),a883),f179(f885(x95361))),x95363)))+~P1(f313(f313(f223(a883),x95362),f313(f179(f885(f885(x95361))),x95363)))
% 119.46/119.25 [9665]P55(x96651,x96652,x96653)+~P1(f313(f313(f315(f889(x96651,x96651)),f313(f313(f240(x96651,x96651),f500(x96653,x96652,x96651)),f500(x96653,x96652,x96651))),x96653))+~P1(f313(f313(f222(f890(f889(x96651,x96651),a881)),x96653),f313(f313(f242(x96651,x96651),x96652),f313(f18(f890(x96651,a881),x96651),x96652))))
% 119.46/119.25 [9666]P55(x96661,x96662,x96663)+~P1(f313(f313(f315(f889(x96661,x96661)),f313(f313(f240(x96661,x96661),f515(x96662,x96663,x96661)),f515(x96662,x96663,x96661))),x96663))+~P1(f313(f313(f222(f890(f889(x96661,x96661),a881)),x96663),f313(f313(f242(x96661,x96661),x96662),f313(f18(f890(x96661,a881),x96661),x96662))))
% 119.46/119.25 [9848]~P144(x98481)+~P128(x98481)+E(f313(f313(f277(x98481),f313(f94(x98481),f313(f313(f66(f889(a1,a1),a1,x98482,f239(a1,a1)),f202(x98482)),x98483))),f313(f94(x98481),f313(f313(f66(f889(a1,a1),a1,x98482,f244(a1,a1)),f202(x98482)),x98483))),f212(x98482,x98481,x98483))
% 119.46/119.25 [10049]~E(x100493,f2(a883))+~E(f313(f179(f885(x100491)),f313(f313(f152(f885(x100491)),x100492),f726(x100493,x100491,x100492))),x100493)+E(f313(f313(f142(a883,f885(x100491)),f313(f313(f9(a883,f885(a883),f885(x100491)),f313(f313(f10(f890(a883,x100491),f890(f885(a883),f885(x100491)),a883),f142(a883,x100491)),f313(f9(a883,a883,x100491),f313(f313(f10(f885(x100491),f890(a883,x100491),a883),f152(x100491)),f313(f152(f885(x100491)),x100492))))),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(f885(x100491))),x100492))))),f127(a883,f313(f288(a883,f2(a883)),x100493))),f167(x100491,x100492))
% 119.46/119.25 [10050]E(x100501,f104(f885(x100502)))+~E(f313(f179(f885(x100502)),f313(f313(f152(f885(x100502)),x100501),f726(x100503,x100502,x100501))),x100503)+E(f313(f313(f142(a883,f885(x100502)),f313(f313(f9(a883,f885(a883),f885(x100502)),f313(f313(f10(f890(a883,x100502),f890(f885(a883),f885(x100502)),a883),f142(a883,x100502)),f313(f9(a883,a883,x100502),f313(f313(f10(f885(x100502),f890(a883,x100502),a883),f152(x100502)),f313(f152(f885(x100502)),x100501))))),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(f885(x100502))),x100501))))),f127(a883,f313(f288(a883,f2(a883)),x100503))),f167(x100502,x100501))
% 119.46/119.25 [10051]~E(x100513,f2(a883))+E(f313(f313(f142(a883,f885(x100511)),f313(f313(f9(a883,f885(a883),f885(x100511)),f313(f313(f10(f890(a883,x100511),f890(f885(a883),f885(x100511)),a883),f142(a883,x100511)),f313(f9(a883,a883,x100511),f313(f313(f10(f885(x100511),f890(a883,x100511),a883),f152(x100511)),f313(f152(f885(x100511)),x100512))))),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(f885(x100511))),x100512))))),f127(a883,f313(f288(a883,f2(a883)),x100513))),f167(x100511,x100512))+P1(f313(f313(f223(a883),f726(x100513,x100511,x100512)),f313(f179(f885(f885(x100511))),x100512)))
% 119.46/119.25 [10052]E(x100521,f104(f885(x100522)))+E(f313(f313(f142(a883,f885(x100522)),f313(f313(f9(a883,f885(a883),f885(x100522)),f313(f313(f10(f890(a883,x100522),f890(f885(a883),f885(x100522)),a883),f142(a883,x100522)),f313(f9(a883,a883,x100522),f313(f313(f10(f885(x100522),f890(a883,x100522),a883),f152(x100522)),f313(f152(f885(x100522)),x100521))))),f127(a883,f313(f288(a883,f2(a883)),f313(f179(f885(f885(x100522))),x100521))))),f127(a883,f313(f288(a883,f2(a883)),x100523))),f167(x100522,x100521))+P1(f313(f313(f223(a883),f726(x100523,x100522,x100521)),f313(f179(f885(f885(x100522))),x100521)))
% 119.46/119.25 [7796]E(f313(f313(f73(a883),f313(f95(a883),x77961)),f313(f313(f73(a883),f313(f95(a883),x77962)),x77963)),f313(f313(f73(a883),f313(f95(a883),f313(f313(f73(a1),x77961),x77962))),x77963))+P1(f313(a183,f313(f95(a1),x77961)))+P1(f313(a183,f313(f95(a1),x77962)))
% 119.46/119.25 [8559]~P1(f313(f54(x85591),x85592))+~P1(f313(f313(f315(x85591),x85593),x85592))+E(f313(a103,f313(f28(x85591),f313(f313(f3(f890(x85591,a881)),x85592),f313(f313(f295(x85591),x85593),f178(f890(x85591,a881)))))),f313(f28(x85591),x85592))
% 119.46/119.25 [8575]~P1(f313(f54(x85751),x85752))+~P1(f313(f313(f315(x85751),x85753),x85752))+E(f313(f313(f73(a883),f71(a883)),f313(f28(x85751),f313(f313(f3(f890(x85751,a881)),x85752),f313(f313(f295(x85751),x85753),f178(f890(x85751,a881)))))),f313(f28(x85751),x85752))
% 119.46/119.25 [8659]~P4(x86591)+~P1(f313(f54(x86591),x86593))+E(f313(f313(f136(x86591,x86591,f7(x86591)),x86592),f127(x86591,f313(f313(f3(f890(x86591,a881)),x86593),f313(f313(f295(x86591),x86592),f178(f890(x86591,a881)))))),f127(x86591,f313(f313(f295(x86591),x86592),x86593)))
% 119.46/119.25 [8805]~P1(f313(f54(x88051),x88053))+~P1(f313(f54(x88051),x88052))+E(f313(f313(f73(a883),f313(f28(x88051),f313(f313(f92(f890(x88051,a881)),x88052),x88053))),f313(f28(x88051),f313(f313(f93(f890(x88051,a881)),x88052),x88053))),f313(f313(f73(a883),f313(f28(x88051),x88052)),f313(f28(x88051),x88053)))
% 119.46/119.25 [8806]~P1(f313(f54(x88061),x88063))+~P1(f313(f54(x88061),x88062))+E(f313(f313(f73(a883),f313(f28(x88061),f313(f313(f92(f890(x88061,a881)),x88062),x88063))),f313(f28(x88061),f313(f313(f93(f890(x88061,a881)),x88062),x88063))),f313(f313(f73(a883),f313(f28(x88061),x88062)),f313(f28(x88061),x88063)))
% 119.46/119.25 [9998]~P24(x99981,f890(f890(x99981,a881),a881),f313(f313(f9(x99981,f890(f889(x99981,x99981),a881),f890(f890(x99981,a881),a881)),f313(f313(f10(f890(x99981,a881),f890(f890(f889(x99981,x99981),a881),f890(f890(x99981,a881),a881)),x99981),f53(x99981)),f313(f313(f9(x99981,f890(x99981,a881),f890(x99981,a881)),f295(x99981)),f178(f890(x99981,a881))))),x99983),x99982)+~P1(f313(f54(x99981),x99982))+E(f313(f28(f890(x99981,a881)),f313(f313(f53(x99981),x99982),x99983)),f313(f28(x99981),x99982))
% 119.46/119.25 [10281]~P39(f890(x102811,a881),f890(x102811,a881),x102812)+~P1(f313(f313(f222(f890(x102811,a881)),x102813),f313(x102812,f86(f890(x102811,a881),f313(f313(f9(f890(x102811,a881),f890(x102811,a881),f890(x102811,a881)),f313(f313(f10(f890(x102811,a881),f890(f890(x102811,a881),f890(x102811,a881)),f890(x102811,a881)),f92(f890(x102811,a881))),f313(f313(f9(f890(x102811,a881),f890(x102811,a881),f890(x102811,a881)),f313(f313(f10(f890(x102811,a881),f890(f890(x102811,a881),f890(x102811,a881)),f890(x102811,a881)),f92(f890(x102811,a881))),x102812)),x102813))),f87(f890(x102811,a881),x102812))))))+P1(f313(f313(f222(f890(x102811,a881)),f86(f890(x102811,a881),f313(f313(f9(f890(x102811,a881),f890(x102811,a881),f890(x102811,a881)),f313(f313(f10(f890(x102811,a881),f890(f890(x102811,a881),f890(x102811,a881)),f890(x102811,a881)),f92(f890(x102811,a881))),f313(f313(f9(f890(x102811,a881),f890(x102811,a881),f890(x102811,a881)),f313(f313(f10(f890(x102811,a881),f890(f890(x102811,a881),f890(x102811,a881)),f890(x102811,a881)),f92(f890(x102811,a881))),x102812)),x102813))),f87(f890(x102811,a881),x102812)))),f313(x102812,f86(f890(x102811,a881),f313(f313(f9(f890(x102811,a881),f890(x102811,a881),f890(x102811,a881)),f313(f313(f10(f890(x102811,a881),f890(f890(x102811,a881),f890(x102811,a881)),f890(x102811,a881)),f92(f890(x102811,a881))),f313(f313(f9(f890(x102811,a881),f890(x102811,a881),f890(x102811,a881)),f313(f313(f10(f890(x102811,a881),f890(f890(x102811,a881),f890(x102811,a881)),f890(x102811,a881)),f92(f890(x102811,a881))),x102812)),x102813))),f87(f890(x102811,a881),x102812))))))
% 119.46/119.25 [8066]~P98(x80661)+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x80663)))+E(f313(f313(f232(x80661),x80662),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x80663),x80663)),a88))),f71(x80661))
% 119.46/119.25 [8158]~P98(x81581)+P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x81583)))+E(f313(f313(f232(x81581),f313(f95(x81581),x81582)),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x81583),x81583)),a88))),f71(x81581))
% 119.46/119.25 [9513]~P98(x95131)+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x95133)))+E(f313(f313(f232(x95131),x95132),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x95133),x95133)),a88))),f313(f313(f79(x95131,x95131),f313(f313(f232(x95131),x95132),f313(f95(a883),x95133))),f313(f313(f20(x95131,x95131,x95131),f313(f313(f10(x95131,f890(x95131,x95131),x95131),f74(x95131)),f313(f74(x95131),x95132))),f7(x95131))))
% 119.46/119.25 [9577]~P98(x95771)+~P1(f313(f313(f222(a1),f2(a1)),f313(f95(a1),x95773)))+E(f313(f313(f232(x95771),f313(f95(x95771),x95772)),f313(f95(a883),f313(f313(f3(a1),f313(f313(f73(a1),x95773),x95773)),a88))),f313(f313(f79(x95771,x95771),f313(f313(f232(x95771),f313(f95(x95771),x95772)),f313(f95(a883),x95773))),f313(f313(f20(x95771,x95771,x95771),f313(f313(f10(x95771,f890(x95771,x95771),x95771),f74(x95771)),f313(f74(x95771),f313(f95(x95771),x95772)))),f7(x95771))))
% 119.46/119.25 [9906]~P1(f313(f125(x99061),x99063))+~P1(f313(f313(f315(x99061),x99062),f313(f160(x99061),x99063)))+E(f313(f313(f126(x99061),f313(f179(f885(x99061)),f165(x99061,f313(f313(f10(a881,a881,x99061),a308),f313(f313(f9(x99061,x99061,a881),a310),x99062)),f313(f156(x99061),x99063)))),f313(f156(x99061),x99063)),f313(f313(f139(x99061),x99062),f313(f156(x99061),f165(x99061,f313(f313(f10(a881,a881,x99061),a308),f313(f313(f9(x99061,x99061,a881),a310),x99062)),x99063))))
% 119.46/119.25 [9965]P1(f313(f313(f222(f890(f889(x99651,x99651),a881)),f293(x99651,x99652)),x99653))+~P1(f313(f313(f222(f890(f889(x99651,x99651),a881)),f293(x99651,f178(f890(f889(x99651,x99651),a881)))),x99653))+~P1(f313(f313(f222(f890(f889(x99651,x99651),a881)),f313(f313(f275(x99651,x99651,x99651),f313(f313(f93(f890(f889(x99651,x99651),a881)),f293(x99651,x99652)),x99653)),x99652)),x99653))
% 119.46/119.25 [9824]~P1(f313(f54(x98241),f313(f250(x98241),x98243)))+~P1(f313(f54(x98241),f313(f250(x98241),x98242)))+P1(f313(f54(x98241),f313(f250(x98241),f313(f313(f20(x98241,a881,a881),f313(f313(f10(a881,f890(a881,a881),x98241),a312),x98242)),x98243))))
% 119.46/119.25 [10115]P1(f313(f313(f222(f890(f889(x101151,x101151),a881)),f313(f313(f275(x101151,x101151,x101151),x101152),f293(x101151,x101152))),x101153))+~P1(f313(f313(f222(f890(f889(x101151,x101151),a881)),x101152),x101153))+~P1(f313(f313(f222(f890(f889(x101151,x101151),a881)),f313(f313(f275(x101151,x101151,x101151),f313(f313(f93(f890(f889(x101151,x101151),a881)),f313(f313(f275(x101151,x101151,x101151),x101152),f293(x101151,x101152))),x101153)),x101152)),x101153))
% 119.46/119.25 [10065]~P115(x100652)+E(x100651,f2(x100652))+~E(f313(f313(f73(x100652),f313(f313(f232(x100652),x100653),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x100652),x100651),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f2(x100652))
% 119.46/119.25 [10066]~P115(x100662)+E(x100661,f2(x100662))+~E(f313(f313(f73(x100662),f313(f313(f232(x100662),x100661),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x100662),x100663),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f2(x100662))
% 119.46/119.25 [10072]~P1(f313(f125(x100721),x100723))+~P1(f313(f313(f315(x100721),x100722),f313(f160(x100721),x100723)))+E(f313(f156(x100721),f313(f159(x100721),f313(f313(f126(x100721),f313(f179(f885(x100721)),f165(x100721,f313(f313(f10(a881,a881,x100721),a308),f313(f313(f9(x100721,x100721,a881),a310),x100722)),x100723))),x100723))),f165(x100721,f313(f313(f10(a881,a881,x100721),a308),f313(f313(f9(x100721,x100721,a881),a310),x100722)),f313(f156(x100721),x100723)))
% 119.46/119.25 [10157]~P115(x101572)+E(x101571,f2(x101572))+P1(f313(f313(f223(x101572),f2(x101572)),f313(f313(f73(x101572),f313(f313(f232(x101572),x101573),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101572),x101571),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))))
% 119.46/119.25 [10158]~P115(x101582)+E(x101581,f2(x101582))+P1(f313(f313(f223(x101582),f2(x101582)),f313(f313(f73(x101582),f313(f313(f232(x101582),x101581),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101582),x101583),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))))
% 119.46/119.25 [10213]~P115(x102131)+P1(f313(f313(f222(x102131),f2(x102131)),x102132))+~P1(f313(f313(f222(x102131),f2(x102131)),f313(f313(f232(x102131),x102132),f313(a103,f313(f313(f74(a883),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x102133)))))
% 119.46/119.25 [4921]~E(x49212,f83(x49213,x49211))+P1(f313(x49211,x49212))+~P1(f313(x49211,x49214))
% 119.46/119.25 [5176]E(f61(x51763,x51762,x51764),x51762)+E(x51761,f755(x51762,x51763,x51764))+~P1(f313(x51764,x51761))
% 119.46/119.25 [6537]E(f61(x65371,x65372,x65373),f78(x65371,x65373))+~E(f790(x65372,x65371,x65373,x65374),x65374)+~P1(f313(x65373,x65374))
% 119.46/119.25 [6762]~P36(x67622,x67624)+~P36(x67621,x67623)+P36(f889(x67621,x67622),f305(x67621,x67622,x67623,x67624))
% 119.46/119.25 [6763]~P37(x67632,x67634)+~P37(x67631,x67633)+P37(f889(x67631,x67632),f305(x67631,x67632,x67633,x67634))
% 119.46/119.25 [5115]~P7(x51154,x51151)+~E(f313(x51151,x51152),f313(x51151,x51153))+P1(f313(f313(x51151,x51152),x51153))
% 119.46/119.25 [5277]~P7(x52774,x52771)+E(f313(x52771,x52772),f313(x52771,x52773))+~P1(f313(f313(x52771,x52772),x52773))
% 119.46/119.25 [5278]~P15(x52784,x52781)+E(f313(x52781,x52782),f313(x52781,x52783))+~P1(f313(f313(x52781,x52782),x52783))
% 119.46/119.25 [5372]~P18(x53723,x53724,x53721)+E(f313(x53721,x53722),f313(f56(x53723,x53724),x53722))+~P1(f313(f54(x53723),x53722))
% 119.46/119.25 [5373]~P9(x53733,x53734,x53731)+E(f313(x53731,x53732),f313(f56(x53733,x53734),x53732))+~P1(f313(f54(x53733),x53732))
% 119.46/119.25 [5498]~P7(x54984,x54981)+~P1(f313(f313(x54981,x54983),x54982))+P1(f313(f313(x54981,x54982),x54983))
% 119.46/119.25 [5499]~P53(x54994,x54991)+~P1(f313(f313(x54991,x54993),x54992))+P1(f313(f313(x54991,x54992),x54993))
% 119.46/119.25 [5500]~P15(x55004,x55001)+~P1(f313(f313(x55001,x55003),x55002))+P1(f313(f313(x55001,x55002),x55003))
% 119.46/119.25 [5501]~P15(x55013,x55011)+P1(f313(f313(x55011,x55012),x55012))+~P1(f313(f313(x55011,x55014),x55012))
% 119.46/119.25 [5502]~P15(x55023,x55021)+P1(f313(f313(x55021,x55022),x55022))+~P1(f313(f313(x55021,x55022),x55024))
% 119.46/119.25 [5571]E(x55711,x55712)+~E(f313(f239(x55713,x55714),x55711),f313(f239(x55713,x55714),x55712))+~E(f313(f244(x55713,x55714),x55711),f313(f244(x55713,x55714),x55712))
% 119.46/119.25 [5572]E(x55721,x55722)+~E(f313(f239(x55723,x55724),x55721),f313(f239(x55723,x55724),x55722))+~E(f313(f244(x55723,x55724),x55721),f313(f244(x55723,x55724),x55722))
% 119.46/119.25 [5600]E(x56001,x56002)+~P1(f313(f41(x56003,x56004),x56002))+~P1(f313(f41(x56003,x56004),x56001))
% 119.46/119.25 [5802]~P79(x58022)+E(f221(x58021,x58022,x58023,x58024),f2(x58022))+P1(f313(f54(x58021),x58024))
% 119.46/119.25 [5943]~P1(f313(f301(x59431,x59432),x59434))+P1(f313(f301(x59431,x59432),x59433))+~P1(f313(f313(x59432,x59433),x59434))
% 119.46/119.25 [5944]~P1(f313(f301(x59441,x59442),x59444))+P1(f313(f301(x59441,x59442),x59443))+~P1(f313(f313(x59442,x59443),x59444))
% 119.46/119.25 [5945]~P1(f313(f301(x59451,x59452),x59454))+P1(f313(f301(x59451,x59452),x59453))+~P1(f313(f313(x59452,x59453),x59454))
% 119.46/119.25 [6799]~P29(x67991,x67993,x67994)+P1(f313(x67991,x67992))+~P1(f313(f313(f315(a1),x67992),f289(a1,x67993,x67994)))
% 119.46/119.25 [7906]E(x79061,f2(a883))+~P1(f313(x79062,x79063))+P1(f313(x79062,f788(x79062,x79063,x79061,x79064)))
% 119.46/119.25 [7989]~P4(x79892)+~P1(f313(f125(x79891),x79894))+P1(f313(f125(x79891),f138(x79891,x79892,x79893,x79894)))
% 119.46/119.25 [8032]E(f61(x80321,x80322,x80323),f78(x80321,x80323))+~P1(f313(x80323,x80324))+P1(f313(x80323,f790(x80322,x80321,x80323,x80324)))
% 119.46/119.25 [8212]~P1(f313(f54(x82122),x82124))+~P1(f313(f54(x82121),x82123))+P1(f313(f54(f891(x82121,x82122)),f299(x82121,x82122,x82123,x82124)))
% 119.46/119.25 [8213]~P1(f313(f54(x82132),x82134))+~P1(f313(f54(x82131),x82133))+P1(f313(f54(f891(x82131,x82132)),f299(x82131,x82132,x82133,x82134)))
% 119.46/119.25 [8214]~P1(f313(f125(x82142),x82144))+~P1(f313(f125(x82141),x82143))+P1(f313(f125(f889(x82141,x82142)),f52(x82141,x82142,x82143,x82144)))
% 119.46/119.25 [8217]P1(f313(f313(f315(f885(x82171)),f313(f313(f122(x82171),x82172),x82173)),f149(x82171,x82174)))+~P1(f313(f313(f315(f885(x82171)),x82173),f149(x82171,x82174)))+~P1(f313(f313(f315(f885(x82171)),x82172),f149(x82171,x82174)))
% 119.46/119.25 [8493]E(x84931,f2(a883))+P1(f313(x84932,x84933))+~P1(f313(x84932,f787(x84932,x84933,x84931,x84934)))
% 119.46/119.25 [8532]~P4(x85323)+~P1(f313(f125(x85321),f138(x85321,x85323,x85324,x85322)))+P1(f313(f125(x85321),x85322))
% 119.46/119.25 [8796]~P1(f313(f313(f315(f889(x87961,x87961)),f313(f313(f240(x87961,x87961),x87962),x87964)),f293(x87961,x87963)))+P1(f313(f313(f315(x87961),x87962),f302(x87961,x87963)))+~P1(f313(f313(f315(x87961),x87964),f302(x87961,x87963)))
% 119.46/119.25 [8797]~P1(f313(f313(f315(f889(x87971,x87971)),f313(f313(f240(x87971,x87971),x87972),x87974)),f293(x87971,x87973)))+P1(f313(f313(f315(x87971),x87972),f302(x87971,x87973)))+~P1(f313(f313(f315(x87971),x87974),f302(x87971,x87973)))
% 119.46/119.25 [5094]~P79(x50942)+E(f313(f313(f8(x50941,x50942),x50943),x50944),f2(x50942))+P1(f313(f54(x50941),x50944))
% 119.46/119.25 [5095]~P79(x50952)+E(f313(f313(f8(x50951,x50952),x50953),x50954),f2(x50952))+P1(f313(f54(x50951),x50954))
% 119.46/119.25 [5096]~P79(x50962)+E(f313(f313(f8(x50961,x50962),x50963),x50964),f2(x50962))+P1(f313(f54(x50961),x50964))
% 119.46/119.25 [5097]~P75(x50972)+E(f313(f313(f11(x50971,x50972),x50973),x50974),f71(x50972))+P1(f313(f54(x50971),x50974))
% 119.46/119.25 [5098]~P75(x50982)+E(f313(f313(f11(x50981,x50982),x50983),x50984),f71(x50982))+P1(f313(f54(x50981),x50984))
% 119.46/119.25 [5099]~P75(x50992)+E(f313(f313(f11(x50991,x50992),x50993),x50994),f71(x50992))+P1(f313(f54(x50991),x50994))
% 119.46/119.25 [5237]~P76(x52373)+E(x52371,x52372)+~E(f313(f313(f73(x52373),x52374),x52371),f313(f313(f73(x52373),x52374),x52372))
% 119.46/119.25 [5238]~P76(x52383)+E(x52381,x52382)+~E(f313(f313(f73(x52383),x52384),x52381),f313(f313(f73(x52383),x52384),x52382))
% 119.46/119.25 [5239]~P77(x52393)+E(x52391,x52392)+~E(f313(f313(f73(x52393),x52394),x52391),f313(f313(f73(x52393),x52394),x52392))
% 119.46/119.25 [5240]~P76(x52403)+E(x52401,x52402)+~E(f313(f313(f73(x52403),x52401),x52404),f313(f313(f73(x52403),x52402),x52404))
% 119.46/119.25 [5241]~P76(x52413)+E(x52411,x52412)+~E(f313(f313(f73(x52413),x52411),x52414),f313(f313(f73(x52413),x52412),x52414))
% 119.46/119.25 [5339]~P125(x53391)+~E(x53393,f313(f313(f74(x53391),x53392),x53394))+P1(f313(f313(f273(x53391),x53392),x53393))
% 119.46/119.25 [5367]~P5(x53673)+E(x53671,f178(f890(x53672,a881)))+E(f313(f313(f32(x53672,x53673),x53671),f313(f18(x53673,x53672),x53674)),x53674)
% 119.46/119.25 [5368]~P5(x53683)+E(x53681,f178(f890(x53682,a881)))+E(f313(f313(f33(x53682,x53683),x53681),f313(f18(x53683,x53682),x53684)),x53684)
% 119.46/119.25 [5586]~P3(x55863)+E(x55861,x55862)+~E(f289(x55863,x55864,x55861),f313(f313(f295(x55863),x55862),f178(f890(x55863,a881))))
% 119.46/119.25 [5587]~P3(x55873)+E(x55871,x55872)+~E(f289(x55873,x55871,x55872),f313(f313(f295(x55873),x55874),f178(f890(x55873,a881))))
% 119.46/119.25 [5648]~P34(x56483,x56481,x56484)+P34(x56483,x56481,f313(f313(f139(x56483),x56482),x56484))+P1(f313(x56481,x56482))
% 119.46/119.25 [5751]~P30(x57511,x57512,x57514)+~P1(f313(x57512,x57513))+P30(x57511,x57512,f313(f313(f139(x57511),x57513),x57514))
% 119.46/119.25 [5900]P1(f313(x59001,x59002))+~P1(f313(f236(x59003,x59001),x59004))+~P1(f313(f313(f315(x59003),x59002),x59004))
% 119.46/119.25 [5909]~P30(x59091,x59092,x59094)+~P30(x59091,x59092,x59093)+P30(x59091,x59092,f313(f313(f122(x59091),x59093),x59094))
% 119.46/119.25 [5924]P32(x59241,x59242,x59243)+~P32(x59241,x59242,f313(f313(f139(x59241),x59244),x59243))+P1(f313(x59242,x59244))
% 119.46/119.25 [5925]P34(x59251,x59252,x59253)+~P34(x59251,x59252,f313(f313(f139(x59251),x59254),x59253))+P1(f313(x59252,x59254))
% 119.46/119.25 [6004]P32(x60041,x60042,x60043)+P32(x60041,x60042,x60044)+~P32(x60041,x60042,f313(f313(f122(x60041),x60044),x60043))
% 119.46/119.25 [6025]~P79(x60251)+E(f313(f313(f8(a883,x60251),x60252),f313(f288(a883,x60253),f313(a103,x60254))),f2(x60251))+~P1(f313(f313(f223(a883),x60254),x60253))
% 119.46/119.25 [6030]~P67(x60301)+~E(f38(x60301,x60302,x60303),f38(x60301,x60304,x60303))+E(f38(x60301,f313(f72(x60301),x60302),x60303),f38(x60301,f313(f72(x60301),x60304),x60303))
% 119.46/119.25 [6099]P1(f313(x60991,x60992))+~E(f313(f124(x60993,x60991),x60994),x60994)+~P1(f313(f313(f315(x60993),x60992),f313(f160(x60993),x60994)))
% 119.46/119.25 [6119]~E(f313(f313(f73(a883),x61193),x61192),f313(f313(f73(a883),x61191),x61194))+~P1(f313(f313(f223(a883),x61193),x61194))+P1(f313(f313(f223(a883),x61191),x61192))
% 119.46/119.25 [6123]P32(x61231,x61232,x61233)+~P1(f313(x61232,x61234))+~P1(f313(f313(f315(x61231),x61234),f313(f160(x61231),x61233)))
% 119.46/119.25 [6124]P32(x61241,x61242,x61243)+~P1(f313(x61242,x61244))+~P1(f313(f313(f315(x61241),x61244),f313(f160(x61241),x61243)))
% 119.46/119.25 [6125]P32(x61251,x61252,x61253)+~P1(f313(x61252,x61254))+~P1(f313(f313(f315(x61251),x61254),f313(f160(x61251),x61253)))
% 119.46/119.25 [6128]~P66(x61281)+E(f38(x61281,f38(x61281,x61282,x61283),x61284),f38(x61281,x61282,x61284))+~P1(f313(f313(f273(x61281),x61284),x61283))
% 119.46/119.25 [6167]~P30(x61673,x61671,x61674)+P1(f313(x61671,x61672))+~P1(f313(f313(f315(x61673),x61672),f313(f160(x61673),x61674)))
% 119.46/119.25 [6168]~P30(x61683,x61681,x61684)+P1(f313(x61681,x61682))+~P1(f313(f313(f315(x61683),x61682),f313(f160(x61683),x61684)))
% 119.46/119.25 [6169]~P30(x61693,x61691,x61694)+P1(f313(x61691,x61692))+~P1(f313(f313(f315(x61693),x61692),f313(f160(x61693),x61694)))
% 119.46/119.25 [6171]~E(f313(f124(x61711,x61712),x61713),f104(x61711))+~P1(f313(x61712,x61714))+~P1(f313(f313(f315(x61711),x61714),f313(f160(x61711),x61713)))
% 119.46/119.25 [6172]~E(f165(x61723,x61721,x61724),x61724)+P1(f313(x61721,x61722))+~P1(f313(f313(f315(x61723),x61722),f313(f160(x61723),x61724)))
% 119.46/119.25 [6200]~E(x62004,f178(f890(x62002,a881)))+~E(x62003,f178(f890(x62001,a881)))+E(f299(x62001,x62002,x62003,x62004),f178(f890(f891(x62001,x62002),a881)))
% 119.46/119.25 [6357]P1(f313(x63571,x63572))+~P1(f313(f148(x63573,x63571),x63574))+~P1(f313(f313(f315(x63573),x63572),f313(f160(x63573),x63574)))
% 119.46/119.25 [6651]~P79(x66511)+E(f313(f313(f8(a883,x66511),x66512),f289(a883,x66513,f313(a103,x66514))),f2(x66511))+~P1(f313(f313(f223(a883),f313(a103,x66514)),x66513))
% 119.46/119.25 [6802]~P4(x68021)+E(f313(f313(f3(f890(x68021,a881)),f313(f288(x68021,x68022),x68023)),f313(f288(x68021,x68022),x68024)),f313(f288(x68021,x68024),x68023))+~P1(f313(f313(f222(x68021),x68022),x68024))
% 119.46/119.25 [6874]~E(x68743,x68744)+E(x68741,f2(a883))+P1(f313(f313(f315(x68742),x68743),f313(f160(x68742),f157(x68742,x68741,x68744))))
% 119.46/119.25 [7168]~P1(f313(f313(f315(f885(x71681)),x71684),f149(x71681,x71683)))+P1(f313(f313(f315(x71681),x71682),x71683))+~P1(f313(f313(f315(x71681),x71682),f313(f160(x71681),x71684)))
% 119.46/119.25 [7175]~P36(x71751,x71752)+P1(f313(f313(f315(x71751),f641(x71752,x71751,x71753)),x71753))+~P1(f313(f313(f315(x71751),x71754),x71753))
% 119.46/119.25 [7208]~P24(x72082,x72081,x72083,x72084)+E(f313(f28(x72081),f313(f296(x72082,x72081,x72083),x72084)),f313(f28(x72082),x72084))+~P1(f313(f54(x72082),x72084))
% 119.46/119.25 [7232]~P79(x72321)+E(f313(f313(f313(f58(x72321,x72322,f73(x72321)),x72323),f2(x72321)),x72324),f313(f313(f8(x72322,x72321),x72323),x72324))+~P1(f313(f54(x72322),x72324))
% 119.46/119.25 [7233]~P79(x72331)+E(f313(f313(f313(f58(x72331,x72332,f73(x72331)),x72333),f2(x72331)),x72334),f313(f313(f8(x72332,x72331),x72333),x72334))+~P1(f313(f54(x72332),x72334))
% 119.46/119.25 [7234]~P75(x72341)+E(f313(f313(f313(f58(x72341,x72342,f74(x72341)),x72343),f71(x72341)),x72344),f313(f313(f11(x72342,x72341),x72343),x72344))+~P1(f313(f54(x72342),x72344))
% 119.46/119.25 [7235]~P75(x72351)+E(f313(f313(f313(f58(x72351,x72352,f74(x72351)),x72353),f71(x72351)),x72354),f313(f313(f11(x72352,x72351),x72353),x72354))+~P1(f313(f54(x72352),x72354))
% 119.46/119.25 [7261]P24(x72611,x72612,x72613,x72614)+~E(f313(f28(x72612),f313(f296(x72611,x72612,x72613),x72614)),f313(f28(x72611),x72614))+~P1(f313(f54(x72611),x72614))
% 119.46/119.25 [7262]P24(x72621,x72622,x72623,x72624)+~E(f313(f28(x72622),f313(f296(x72621,x72622,x72623),x72624)),f313(f28(x72621),x72624))+~P1(f313(f54(x72621),x72624))
% 119.46/119.25 [7461]~P79(x74611)+E(f313(f313(f73(x74611),f313(x74612,x74613)),f313(f313(f8(a883,x74611),x74612),f291(a883,x74613,x74614))),f313(f313(f8(a883,x74611),x74612),f289(a883,x74613,x74614)))+~P1(f313(f313(f222(a883),x74613),x74614))
% 119.46/119.25 [7470]~P79(x74701)+~P24(x74702,x74701,x74703,x74704)+E(f313(f313(f8(x74701,x74701),f25(x74701)),f313(f296(x74702,x74701,x74703),x74704)),f313(f313(f8(x74702,x74701),x74703),x74704))
% 119.46/119.25 [7471]~P75(x74711)+~P24(x74712,x74711,x74713,x74714)+E(f313(f313(f11(x74711,x74711),f25(x74711)),f313(f296(x74712,x74711,x74713),x74714)),f313(f313(f11(x74712,x74711),x74713),x74714))
% 119.46/119.25 [7519]E(f313(f28(f891(x75191,x75192)),f299(x75191,x75192,x75193,x75194)),f313(f313(f73(a883),f313(f28(x75191),x75193)),f313(f28(x75192),x75194)))+~P1(f313(f54(x75192),x75194))+~P1(f313(f54(x75191),x75193))
% 119.46/119.25 [7520]E(f313(f28(f891(x75201,x75202)),f299(x75201,x75202,x75203,x75204)),f313(f313(f73(a883),f313(f28(x75201),x75203)),f313(f28(x75202),x75204)))+~P1(f313(f54(x75202),x75204))+~P1(f313(f54(x75201),x75203))
% 119.46/119.25 [7605]E(x76051,x76052)+P1(f313(f313(f315(x76053),x76051),f313(f160(x76053),f158(x76053,x76052,x76054))))+~P1(f313(f313(f315(x76053),x76051),f313(f160(x76053),x76054)))
% 119.46/119.25 [7749]~P1(f313(f313(f222(f890(x77491,a881)),x77494),f313(x77493,x77494)))+~P1(f313(f313(f315(x77491),x77492),x77494))+P1(f313(f313(f315(x77491),x77492),f87(f890(x77491,a881),x77493)))
% 119.46/119.25 [7835]~P79(x78351)+E(f313(f313(f73(x78351),f313(f313(f8(a883,x78351),x78352),f313(f288(a883,x78353),x78354))),f313(x78352,x78354)),f313(f313(f8(a883,x78351),x78352),f313(f288(a883,x78353),f313(a103,x78354))))+P1(f313(f313(f223(a883),x78354),x78353))
% 119.46/119.25 [7885]~P24(x78851,x78852,x78853,f230(f890(x78851,a881)))+~P1(f313(f54(x78852),x78854))+P1(f313(f54(x78851),f313(f297(x78851,x78852,x78853),x78854)))
% 119.46/119.25 [8002]P1(f313(f313(f315(f885(x80021)),f313(f313(f139(x80021),x80022),x80023)),f149(x80021,x80024)))+~P1(f313(f313(f315(f885(x80021)),x80023),f149(x80021,x80024)))+~P1(f313(f313(f315(x80021),x80022),x80024))
% 119.46/119.25 [8050]E(x80501,x80502)+~P1(f313(f313(f315(x80503),x80501),f313(f160(x80503),f158(x80503,x80502,x80504))))+P1(f313(f313(f315(x80503),x80501),f313(f160(x80503),x80504)))
% 119.46/119.25 [8090]~E(f313(f296(x80903,x80901,x80904),f230(f890(x80903,a881))),f230(f890(x80901,a881)))+P1(f313(f54(x80901),x80902))+~P1(f313(f54(x80903),f313(f297(x80903,x80901,x80904),x80902)))
% 119.46/119.25 [8184]~P24(x81841,x81843,x81844,x81842)+P1(f313(f54(x81841),x81842))+~P1(f313(f54(x81843),f313(f296(x81841,x81843,x81844),x81842)))
% 119.46/119.25 [8206]~E(x82062,x82063)+P1(f313(f313(f315(f889(x82061,x82061)),f313(f313(f240(x82061,x82061),x82062),x82063)),f251(x82061,x82064)))+~P1(f313(f313(f315(x82061),x82062),x82064))
% 119.46/119.25 [8207]~E(x82072,x82073)+P1(f313(f313(f315(f889(x82071,x82071)),f313(f313(f240(x82071,x82071),x82072),x82073)),f251(x82071,x82074)))+~P1(f313(f313(f315(x82071),x82072),x82074))
% 119.46/119.25 [8241]~P79(x82411)+E(f313(f313(f73(x82411),f313(f313(f8(a883,x82411),x82412),f289(a883,x82413,x82414))),f313(x82412,f313(a103,x82414))),f313(f313(f8(a883,x82411),x82412),f289(a883,x82413,f313(a103,x82414))))+P1(f313(f313(f223(a883),f313(a103,x82414)),x82413))
% 119.46/119.25 [8299]~E(x82992,x82994)+P1(f313(f313(f315(f889(x82991,x82991)),f313(f313(f240(x82991,x82991),x82992),x82994)),f293(x82991,x82993)))+P1(f313(f313(f315(x82991),x82992),f313(f252(x82991,x82991),x82993)))
% 119.46/119.25 [8301]P1(f313(x83011,x83012))+~P1(f313(x83011,f313(f313(f152(x83013),x83014),f680(x83011,x83014,x83013))))+~P1(f313(f313(f315(x83013),x83012),f313(f160(x83013),x83014)))
% 119.46/119.25 [8438]~P1(f313(f313(f315(x84381),x84382),f302(x84381,x84384)))+P1(f313(f313(f315(f885(x84381)),f313(f313(f139(x84381),x84382),x84383)),f302(f885(x84381),f145(x84381,x84384))))+~P1(f313(f313(f315(f885(x84381)),x84383),f302(f885(x84381),f145(x84381,x84384))))
% 119.46/119.25 [8453]~P24(x84532,x84533,x84534,f633(x84534,x84533,x84532,x84531))+P24(x84532,x84533,x84534,f31(f890(x84532,a881),x84531))+E(x84531,f178(f890(f890(x84532,a881),a881)))
% 119.46/119.25 [8718]E(x87181,x87182)+~P1(f313(f313(f315(f889(x87183,x87183)),f313(f313(f240(x87183,x87183),x87181),x87182)),f293(x87183,x87184)))+P1(f313(f313(f315(x87183),x87181),f313(f252(x87183,x87183),x87184)))
% 119.46/119.25 [8979]E(x89791,f2(a883))+P1(f313(x89792,x89793))+P1(f313(f313(f315(x89794),f787(x89792,x89793,x89791,x89794)),f313(f160(x89794),f157(x89794,x89791,x89793))))
% 119.46/119.25 [8991]E(x89911,f2(a883))+~P1(f313(x89913,x89914))+P1(f313(f313(f315(x89912),f788(x89913,x89914,x89911,x89912)),f313(f160(x89912),f157(x89912,x89911,x89914))))
% 119.46/119.25 [8995]P24(x89952,x89953,x89954,f31(f890(x89952,a881),x89951))+E(x89951,f178(f890(f890(x89952,a881),a881)))+P1(f313(f313(f315(f890(x89952,a881)),f633(x89954,x89953,x89952,x89951)),x89951))
% 119.46/119.25 [9128]P1(f313(f54(x91281),x91282))+~P1(f313(f54(x91284),f313(f296(x91281,x91284,x91283),x91282)))+P1(f313(f313(f315(x91281),f563(x91283,x91284,x91282,x91281)),x91282))
% 119.46/119.25 [9223]~P5(x92232)+E(f313(f313(f57(x92231,x92232,f313(f313(f10(x92232,f890(x92232,x92232),x92231),f93(x92232)),x92233)),f230(x92232)),x92234),f313(f313(f32(x92231,x92232),x92234),x92233))+~P1(f313(f54(x92231),x92234))
% 119.46/119.25 [9224]~P5(x92242)+E(f313(f313(f57(x92241,x92242,f313(f313(f10(x92242,f890(x92242,x92242),x92241),f92(x92242)),x92243)),f178(x92242)),x92244),f313(f313(f33(x92241,x92242),x92244),x92243))+~P1(f313(f54(x92241),x92244))
% 119.46/119.25 [9254]~P1(f313(f313(f273(a883),x92543),x92544))+P1(f313(f313(f273(a883),x92541),x92542))+P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x92541,x92542)),f276(a883,f273(a883),x92543,x92544)))
% 119.46/119.25 [9266]~P1(f313(f313(f273(a883),x92662),x92664))+~P1(f313(f313(f273(a883),x92663),x92661))+P1(f313(f313(f222(f890(a883,a881)),f276(a883,f273(a883),x92661,x92662)),f276(a883,f273(a883),x92663,x92664)))
% 119.46/119.25 [9307]P1(f313(x93071,x93072))+~P1(f313(x93071,f313(f313(f152(x93073),x93074),f712(x93072,x93071,x93074,x93073))))+~P1(f313(f313(f315(x93073),x93072),f313(f160(x93073),x93074)))
% 119.46/119.25 [9327]E(x93271,x93272)+~P1(f313(f313(f315(f889(x93273,x93273)),f313(f313(f240(x93273,x93273),x93271),x93272)),f293(x93273,x93274)))+P1(f313(f313(f315(f889(x93273,x93273)),f313(f313(f240(x93273,x93273),x93271),x93272)),f313(f313(f275(x93273,x93273,x93273),x93274),f293(x93273,x93274))))
% 119.46/119.25 [9328]E(x93281,x93282)+~P1(f313(f313(f315(f889(x93283,x93283)),f313(f313(f240(x93283,x93283),x93281),x93282)),f293(x93283,x93284)))+P1(f313(f313(f315(f889(x93283,x93283)),f313(f313(f240(x93283,x93283),x93281),x93282)),f313(f313(f275(x93283,x93283,x93283),x93284),f293(x93283,x93284))))
% 119.46/119.25 [9377]~E(f313(f179(f885(x93771)),x93772),f313(f179(f885(x93771)),x93773))+~P1(f313(f313(f315(f889(f885(x93771),f885(x93771))),f313(f313(f240(f885(x93771),f885(x93771)),x93772),x93773)),f135(x93771,x93774)))+P1(f313(f313(f315(f889(f885(x93771),f885(x93771))),f313(f313(f240(f885(x93771),f885(x93771)),x93772),x93773)),f133(x93771,x93774)))
% 119.46/119.25 [9399]E(x93991,x93992)+P1(f313(f313(f315(f889(x93993,x93993)),f313(f313(f240(x93993,x93993),x93991),x93992)),f293(x93993,x93994)))+~P1(f313(f313(f315(f889(x93993,x93993)),f313(f313(f240(x93993,x93993),x93991),x93992)),f313(f313(f275(x93993,x93993,x93993),x93994),f293(x93993,x93994))))
% 119.46/119.25 [9498]P1(f313(f313(f273(a883),x94981),x94982))+~P1(f313(f313(f273(a883),x94983),x94981))+~P1(f313(f313(f222(f890(a883,a881)),f276(a883,f273(a883),x94983,x94981)),f276(a883,f273(a883),x94984,x94982)))
% 119.46/119.25 [9499]P1(f313(f313(f273(a883),x94991),x94992))+~P1(f313(f313(f273(a883),x94993),x94991))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x94993,x94991)),f276(a883,f273(a883),x94994,x94992)))
% 119.46/119.25 [9500]P1(f313(f313(f273(a883),x95001),x95002))+~P1(f313(f313(f273(a883),x95002),x95003))+~P1(f313(f313(f222(f890(a883,a881)),f276(a883,f273(a883),x95002,x95003)),f276(a883,f273(a883),x95001,x95004)))
% 119.46/119.25 [9501]P1(f313(f313(f273(a883),x95011),x95012))+~P1(f313(f313(f273(a883),x95012),x95013))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x95012,x95013)),f276(a883,f273(a883),x95011,x95014)))
% 119.46/119.25 [9613]P30(x96131,f313(f313(f20(x96131,a881,a881),f313(f313(f10(a881,f890(a881,a881),x96131),a312),f313(f313(f10(a881,a881,x96131),a308),x96132))),f313(a310,x96133)),x96134)+~P1(f313(x96132,x96133))+~P34(x96131,x96132,f313(f313(f139(x96131),x96133),x96134))
% 119.46/119.25 [9778]~P30(x97781,f313(f313(f20(x97781,a881,a881),f313(f313(f10(a881,f890(a881,a881),x97781),a312),f313(f313(f10(a881,a881,x97781),a308),x97782))),f313(a310,x97783)),x97784)+~P1(f313(x97782,x97783))+P34(x97781,x97782,f313(f313(f139(x97781),x97783),x97784))
% 119.46/119.25 [9782]~P34(x97821,x97822,x97824)+~P30(x97821,f313(f313(f20(x97821,a881,a881),f313(f313(f10(a881,f890(a881,a881),x97821),a312),f313(f313(f10(a881,a881,x97821),a308),x97822))),f313(a310,x97823)),x97824)+P34(x97821,x97822,f313(f313(f139(x97821),x97823),x97824))
% 119.46/119.25 [9825]~P65(x98251)+E(f313(f313(f8(a883,x98251),f313(f313(f20(a883,x98251,x98251),f313(f313(f10(x98251,f890(x98251,x98251),a883),f3(x98251)),x98252)),f313(f313(f10(a883,x98251,a883),x98252),f313(f313(f9(a883,a883,a883),f73(a883)),f71(a883))))),f289(a883,x98253,x98254)),f2(x98251))+P1(f313(f313(f222(a883),x98253),x98254))
% 119.46/119.25 [10064]~P36(x100642,x100644)+~P24(x100642,x100641,x100643,f230(f890(x100642,a881)))+P36(x100641,f313(f296(f889(x100642,x100642),f889(x100641,x100641),f246(x100642,x100641,x100642,x100641,x100643,x100643)),x100644))
% 119.46/119.25 [10247]~E(f313(f179(f885(x102471)),x102473),f313(f179(f885(x102471)),x102472))+P1(f313(f313(f315(f889(f885(x102471),f885(x102471))),f313(f313(f240(f885(x102471),f885(x102471)),x102472),x102473)),f146(x102471,x102474)))+~P1(f313(f313(f245(x102471,x102471,a881),f313(f313(f9(x102471,f890(f889(x102471,x102471),a881),f890(x102471,a881)),f313(f313(f10(f890(x102471,f890(f890(f889(x102471,x102471),a881),a881)),f890(f890(f889(x102471,x102471),a881),f890(x102471,a881)),x102471),f9(x102471,f890(f889(x102471,x102471),a881),a881)),f313(f313(f10(f890(x102471,f889(x102471,x102471)),f890(x102471,f890(f890(f889(x102471,x102471),a881),a881)),x102471),f313(f10(f889(x102471,x102471),f890(f890(f889(x102471,x102471),a881),a881),x102471),f315(f889(x102471,x102471)))),f240(x102471,x102471)))),x102474)),f682(x102474,x102473,x102472,x102471)))
% 119.46/119.25 [6080]~P66(x60801)+~E(x60802,f2(x60801))+E(f313(f313(f29(x60801),f313(f313(f74(x60801),x60802),x60803)),f313(f313(f74(x60801),x60802),x60804)),f2(x60801))
% 119.46/119.25 [6122]E(x61221,f104(x61222))+E(x61223,f313(f313(f3(a883),f313(f179(f885(x61222)),x61221)),f71(a883)))+E(f132(x61222,f313(f313(f147(x61222,x61221),x61223),x61224)),f132(x61222,x61221))
% 119.46/119.25 [6159]E(x61591,x61592)+P1(f313(x61593,x61592))+~P1(f313(f313(f313(f295(x61594),x61591),x61593),x61592))
% 119.46/119.25 [6176]~P79(x61761)+~P1(f313(f125(x61762),x61764))+E(f313(f153(x61761),f313(f313(f142(x61762,x61761),x61763),x61764)),f313(f313(f8(x61762,x61761),x61763),f313(f160(x61762),x61764)))
% 119.46/119.25 [6193]~P75(x61932)+~P1(f313(f54(x61931),x61934))+E(f313(f313(f11(x61931,x61932),f313(f18(x61932,x61931),x61933)),x61934),f313(f313(f232(x61932),x61933),f313(f28(x61931),x61934)))
% 119.46/119.25 [6248]~P66(x62482)+E(x62481,f2(x62482))+E(f313(f313(f29(x62482),f313(f313(f74(x62482),x62483),x62481)),f313(f313(f74(x62482),x62484),x62481)),f313(f313(f29(x62482),x62483),x62484))
% 119.46/119.25 [6249]~P66(x62492)+E(x62491,f2(x62492))+E(f313(f313(f29(x62492),f313(f313(f74(x62492),x62491),x62493)),f313(f313(f74(x62492),x62491),x62494)),f313(f313(f29(x62492),x62493),x62494))
% 119.46/119.25 [6250]~P70(x62502)+E(x62501,f2(x62502))+E(f313(f313(f277(x62502),f313(f313(f74(x62502),x62503),x62501)),f313(f313(f74(x62502),x62504),x62501)),f313(f313(f277(x62502),x62503),x62504))
% 119.46/119.25 [6251]~P70(x62512)+E(x62511,f2(x62512))+E(f313(f313(f277(x62512),f313(f313(f74(x62512),x62511),x62513)),f313(f313(f74(x62512),x62511),x62514)),f313(f313(f277(x62512),x62513),x62514))
% 119.46/119.25 [6252]~P66(x62522)+E(x62521,f2(x62522))+E(f313(f313(f29(x62522),f313(f313(f74(x62522),x62521),x62523)),f313(f313(f74(x62522),x62521),x62524)),f313(f313(f29(x62522),x62523),x62524))
% 119.46/119.25 [6321]P1(f313(x63211,x63212))+~E(x63213,f313(f313(f73(a883),x63214),x63212))+~P1(f313(x63211,f313(f313(f3(a883),x63213),x63214)))
% 119.46/119.25 [6322]P1(f313(x63221,x63222))+~E(x63223,f313(f313(f73(a883),x63224),x63222))+~P1(f313(x63221,f313(f313(f3(a883),x63223),x63224)))
% 119.46/119.25 [6411]P27(x64111,x64112,x64113)+P26(x64111,f649(x64113,x64112,x64111),x64114)+~P1(f313(f313(f315(f882(x64111)),x64114),x64112))
% 119.46/119.25 [6415]~P1(f313(x64152,x64153))+~P1(f313(f148(x64151,x64152),x64154))+P1(f313(f148(x64151,x64152),f313(f313(f139(x64151),x64153),x64154)))
% 119.46/119.25 [6459]E(x64591,f104(x64592))+~E(x64593,f313(f313(f3(a883),f313(f179(f885(x64592)),x64591)),f71(a883)))+E(f132(x64592,f313(f313(f147(x64592,x64591),x64593),x64594)),x64594)
% 119.46/119.25 [6482]~P4(x64821)+~P1(f313(f313(f222(x64821),x64822),x64824))+P1(f313(f313(f222(x64821),x64822),f313(f313(f177(x64821),x64823),x64824)))
% 119.46/119.25 [6483]~P4(x64831)+~P1(f313(f313(f222(x64831),x64832),x64834))+P1(f313(f313(f222(x64831),x64832),f313(f313(f177(x64831),x64833),x64834)))
% 119.46/119.25 [6484]~P4(x64841)+~P1(f313(f313(f222(x64841),x64842),x64843))+P1(f313(f313(f222(x64841),x64842),f313(f313(f177(x64841),x64843),x64844)))
% 119.46/119.25 [6485]~P4(x64851)+~P1(f313(f313(f222(x64851),x64852),x64853))+P1(f313(f313(f222(x64851),x64852),f313(f313(f177(x64851),x64853),x64854)))
% 119.46/119.25 [6486]~P102(x64861)+~P1(f313(f313(f222(x64861),x64862),x64864))+P1(f313(f313(f222(x64861),x64862),f313(f313(f92(x64861),x64863),x64864)))
% 119.46/119.25 [6487]~P102(x64871)+~P1(f313(f313(f222(x64871),x64872),x64873))+P1(f313(f313(f222(x64871),x64872),f313(f313(f92(x64871),x64873),x64874)))
% 119.46/119.25 [6488]~P4(x64881)+~P1(f313(f313(f223(x64881),x64882),x64884))+P1(f313(f313(f223(x64881),x64882),f313(f313(f177(x64881),x64883),x64884)))
% 119.46/119.25 [6489]~P4(x64891)+~P1(f313(f313(f223(x64891),x64892),x64894))+P1(f313(f313(f223(x64891),x64892),f313(f313(f177(x64891),x64893),x64894)))
% 119.46/119.25 [6490]~P4(x64901)+~P1(f313(f313(f223(x64901),x64902),x64903))+P1(f313(f313(f223(x64901),x64902),f313(f313(f177(x64901),x64903),x64904)))
% 119.46/119.25 [6491]~P4(x64911)+~P1(f313(f313(f223(x64911),x64912),x64913))+P1(f313(f313(f223(x64911),x64912),f313(f313(f177(x64911),x64913),x64914)))
% 119.46/119.25 [6492]~P102(x64921)+~P1(f313(f313(f223(x64921),x64922),x64924))+P1(f313(f313(f223(x64921),x64922),f313(f313(f92(x64921),x64923),x64924)))
% 119.46/119.25 [6493]~P102(x64931)+~P1(f313(f313(f223(x64931),x64932),x64933))+P1(f313(f313(f223(x64931),x64932),f313(f313(f92(x64931),x64933),x64934)))
% 119.46/119.25 [6494]~P120(x64941)+~P1(f313(f313(f273(x64941),x64942),x64944))+P1(f313(f313(f273(x64941),x64942),f313(f313(f74(x64941),x64943),x64944)))
% 119.46/119.25 [6495]~P120(x64951)+~P1(f313(f313(f273(x64951),x64952),x64953))+P1(f313(f313(f273(x64951),x64952),f313(f313(f74(x64951),x64953),x64954)))
% 119.46/119.25 [6589]~E(f313(f313(f152(x65891),x65892),x65893),x65894)+E(f313(f313(f147(x65891,x65892),x65893),x65894),x65892)+~P1(f313(f313(f223(a883),x65893),f313(f179(f885(x65891)),x65892)))
% 119.46/119.25 [6633]P1(f313(x66331,x66332))+~P1(f313(x66333,x66332))+~P1(f313(f313(f222(f890(x66334,a881)),x66333),x66331))
% 119.46/119.25 [6634]P1(f313(x66341,x66342))+~P1(f313(x66343,x66342))+~P1(f313(f313(f222(f890(x66344,a881)),x66343),x66341))
% 119.46/119.25 [6670]~E(f313(f313(f147(x66701,x66702),x66703),x66704),x66702)+E(f313(f313(f152(x66701),x66702),x66703),x66704)+~P1(f313(f313(f223(a883),x66703),f313(f179(f885(x66701)),x66702)))
% 119.46/119.25 [6686]~P1(f313(f148(x66861,x66862),x66864))+~P1(f313(f148(x66861,x66862),x66863))+P1(f313(f148(x66861,x66862),f313(f313(f122(x66861),x66863),x66864)))
% 119.46/119.25 [6798]E(x67981,f178(f890(x67982,a881)))+E(x67983,f178(f890(x67984,a881)))+~E(f313(f313(f242(x67984,x67982),x67983),f313(f18(f890(x67982,a881),x67984),x67981)),f178(f890(f889(x67984,x67982),a881)))
% 119.46/119.25 [6817]E(x68171,x68172)+P1(f313(f313(f315(x68173),x68171),x68174))+~P1(f313(f313(f315(x68173),x68171),f313(f313(f295(x68173),x68172),x68174)))
% 119.46/119.25 [6818]E(x68181,x68182)+P1(f313(f313(f315(x68183),x68181),x68184))+~P1(f313(f313(f315(x68183),x68181),f313(f313(f295(x68183),x68182),x68184)))
% 119.46/119.25 [6835]~P4(x68351)+P1(f313(f313(f222(x68351),x68352),x68353))+~P1(f313(f313(f222(x68351),x68352),f313(f313(f227(x68351),x68354),x68353)))
% 119.46/119.25 [6836]~P4(x68361)+P1(f313(f313(f222(x68361),x68362),x68363))+~P1(f313(f313(f222(x68361),x68362),f313(f313(f227(x68361),x68364),x68363)))
% 119.46/119.25 [6837]~P4(x68371)+P1(f313(f313(f222(x68371),x68372),x68373))+~P1(f313(f313(f222(x68371),x68372),f313(f313(f227(x68371),x68373),x68374)))
% 119.46/119.25 [6838]~P4(x68381)+P1(f313(f313(f222(x68381),x68382),x68383))+~P1(f313(f313(f222(x68381),x68382),f313(f313(f227(x68381),x68383),x68384)))
% 119.46/119.25 [6839]~P108(x68391)+P1(f313(f313(f222(x68391),x68392),x68393))+~P1(f313(f313(f222(x68391),x68392),f313(f313(f93(x68391),x68394),x68393)))
% 119.46/119.25 [6840]~P108(x68401)+P1(f313(f313(f222(x68401),x68402),x68403))+~P1(f313(f313(f222(x68401),x68402),f313(f313(f93(x68401),x68404),x68403)))
% 119.46/119.25 [6841]~P108(x68411)+P1(f313(f313(f222(x68411),x68412),x68413))+~P1(f313(f313(f222(x68411),x68412),f313(f313(f93(x68411),x68413),x68414)))
% 119.46/119.25 [6842]~P108(x68421)+P1(f313(f313(f222(x68421),x68422),x68423))+~P1(f313(f313(f222(x68421),x68422),f313(f313(f93(x68421),x68423),x68424)))
% 119.46/119.25 [6843]~P4(x68431)+P1(f313(f313(f223(x68431),x68432),x68433))+~P1(f313(f313(f223(x68431),x68432),f313(f313(f227(x68431),x68434),x68433)))
% 119.46/119.25 [6844]~P4(x68441)+P1(f313(f313(f223(x68441),x68442),x68443))+~P1(f313(f313(f223(x68441),x68442),f313(f313(f227(x68441),x68443),x68444)))
% 119.46/119.25 [6865]~E(f313(f313(f152(x68651),x68653),x68654),x68652)+P1(f313(f313(f315(x68651),x68652),f313(f160(x68651),x68653)))+~P1(f313(f313(f223(a883),x68654),f313(f179(f885(x68651)),x68653)))
% 119.46/119.25 [6876]~P4(x68761)+~P13(x68761,f313(f313(f139(x68761),x68762),f313(f313(f139(x68761),x68763),x68764)))+P1(f313(f313(f222(x68761),x68762),x68763))
% 119.46/119.25 [6934]~P4(x69341)+P13(x69341,f313(f313(f139(x69341),x69342),x69343))+~P13(x69341,f313(f313(f139(x69341),x69344),f313(f313(f139(x69341),x69342),x69343)))
% 119.46/119.25 [7031]~P30(x70312,x70311,x70313)+P1(f313(x70311,f313(f313(f152(x70312),x70313),x70314)))+~P1(f313(f313(f223(a883),x70314),f313(f179(f885(x70312)),x70313)))
% 119.46/119.25 [7049]E(x70491,f2(a1))+E(f313(f313(f29(a1),x70492),x70491),x70493)+~P1(f313(f42(x70492,x70491),f313(f313(f240(a1,a1),x70493),x70494)))
% 119.46/119.25 [7072]E(f38(a1,x70722,x70721),x70723)+E(x70721,f2(a1))+~P1(f313(f42(x70722,x70721),f313(f313(f240(a1,a1),x70724),x70723)))
% 119.46/119.25 [7189]P1(f313(f313(f315(x71891),x71892),x71893))+~P1(f313(f313(f315(x71891),x71892),x71894))+~P1(f313(f313(f222(f890(x71891,a881)),x71894),x71893))
% 119.46/119.25 [7190]P1(f313(f313(f315(x71901),x71902),x71903))+~P1(f313(f313(f315(x71901),x71902),x71904))+~P1(f313(f313(f222(f890(x71901,a881)),x71904),x71903))
% 119.46/119.25 [7191]P1(f313(f313(f315(x71911),x71912),x71913))+~P1(f313(f313(f315(x71911),x71912),x71914))+~P1(f313(f313(f222(f890(x71911,a881)),x71914),x71913))
% 119.46/119.25 [7192]P1(f313(f313(f315(x71921),x71922),x71923))+~P1(f313(f313(f315(x71921),x71922),x71924))+~P1(f313(f313(f223(f890(x71921,a881)),x71924),x71923))
% 119.46/119.25 [7193]P1(f313(f313(f315(x71931),x71932),x71933))+~P1(f313(f313(f315(x71931),x71932),x71934))+~P1(f313(f313(f222(f890(x71931,a881)),x71934),x71933))
% 119.46/119.25 [7204]~P124(x72041)+~E(x72043,f2(x72041))+P1(f313(f313(f273(x72041),f313(f313(f74(x72041),x72042),x72043)),f313(f313(f74(x72041),x72044),x72043)))
% 119.46/119.25 [7205]~P124(x72051)+~E(x72052,f2(x72051))+P1(f313(f313(f273(x72051),f313(f313(f74(x72051),x72052),x72053)),f313(f313(f74(x72051),x72052),x72054)))
% 119.46/119.25 [7306]P32(x73061,x73062,x73063)+~P1(f313(x73062,f313(f313(f152(x73061),x73063),x73064)))+~P1(f313(f313(f223(a883),x73064),f313(f179(f885(x73061)),x73063)))
% 119.46/119.25 [7425]~P112(x74252)+~P1(f313(f313(f223(f890(x74251,x74252)),x74253),x74254))+P1(f313(f313(f222(f890(x74251,x74252)),x74253),x74254))
% 119.46/119.25 [7552]~P1(f313(f313(f315(x75521),x75522),x75524))+P1(f313(f313(f315(x75521),x75522),f30(f890(x75521,a881),x75523)))+~P1(f313(f313(f315(f890(x75521,a881)),x75524),x75523))
% 119.46/119.25 [7554]~P120(x75541)+~P1(f313(f313(f222(a883),x75543),x75544))+P1(f313(f313(f273(x75541),f313(f313(f232(x75541),x75542),x75543)),f313(f313(f232(x75541),x75542),x75544)))
% 119.46/119.25 [7582]~P88(x75821)+~P1(f313(f313(f222(x75821),x75823),x75824))+P1(f313(f313(f222(x75821),f313(f313(f73(x75821),x75822),x75823)),f313(f313(f73(x75821),x75822),x75824)))
% 119.46/119.25 [7583]~P89(x75831)+~P1(f313(f313(f222(x75831),x75833),x75834))+P1(f313(f313(f222(x75831),f313(f313(f73(x75831),x75832),x75833)),f313(f313(f73(x75831),x75832),x75834)))
% 119.46/119.25 [7584]~P88(x75841)+~P1(f313(f313(f222(x75841),x75842),x75844))+P1(f313(f313(f222(x75841),f313(f313(f73(x75841),x75842),x75843)),f313(f313(f73(x75841),x75844),x75843)))
% 119.46/119.25 [7585]~P89(x75851)+~P1(f313(f313(f222(x75851),x75852),x75854))+P1(f313(f313(f222(x75851),f313(f313(f73(x75851),x75852),x75853)),f313(f313(f73(x75851),x75854),x75853)))
% 119.46/119.25 [7586]~P88(x75861)+~P1(f313(f313(f223(x75861),x75863),x75864))+P1(f313(f313(f223(x75861),f313(f313(f73(x75861),x75862),x75863)),f313(f313(f73(x75861),x75862),x75864)))
% 119.46/119.25 [7587]~P91(x75871)+~P1(f313(f313(f223(x75871),x75873),x75874))+P1(f313(f313(f223(x75871),f313(f313(f73(x75871),x75872),x75873)),f313(f313(f73(x75871),x75872),x75874)))
% 119.46/119.25 [7588]~P88(x75881)+~P1(f313(f313(f223(x75881),x75882),x75884))+P1(f313(f313(f223(x75881),f313(f313(f73(x75881),x75882),x75883)),f313(f313(f73(x75881),x75884),x75883)))
% 119.46/119.25 [7589]~P91(x75891)+~P1(f313(f313(f223(x75891),x75892),x75894))+P1(f313(f313(f223(x75891),f313(f313(f73(x75891),x75892),x75893)),f313(f313(f73(x75891),x75894),x75893)))
% 119.46/119.25 [7590]~P120(x75901)+~P1(f313(f313(f273(x75901),x75902),x75904))+P1(f313(f313(f273(x75901),f313(f313(f232(x75901),x75902),x75903)),f313(f313(f232(x75901),x75904),x75903)))
% 119.46/119.25 [7591]~P124(x75911)+~P1(f313(f313(f273(x75911),x75913),x75914))+P1(f313(f313(f273(x75911),f313(f313(f74(x75911),x75912),x75913)),f313(f313(f74(x75911),x75912),x75914)))
% 119.46/119.25 [7592]~P124(x75921)+~P1(f313(f313(f273(x75921),x75922),x75924))+P1(f313(f313(f273(x75921),f313(f313(f74(x75921),x75922),x75923)),f313(f313(f74(x75921),x75924),x75923)))
% 119.46/119.25 [7599]~P99(x75991)+~P147(x75991)+E(f313(f313(f73(x75991),f313(f313(f74(x75991),x75992),f313(f95(x75991),x75993))),f313(f313(f74(x75991),x75994),f313(f95(x75991),x75993))),f313(f313(f74(x75991),f313(f313(f73(x75991),x75992),x75994)),f313(f95(x75991),x75993)))
% 119.46/119.25 [7600]~P99(x76001)+~P145(x76001)+E(f313(f313(f3(x76001),f313(f313(f74(x76001),x76002),f313(f95(x76001),x76003))),f313(f313(f74(x76001),x76004),f313(f95(x76001),x76003))),f313(f313(f74(x76001),f313(f313(f3(x76001),x76002),x76004)),f313(f95(x76001),x76003)))
% 119.46/119.25 [7636]~P79(x76361)+E(f313(f313(f73(x76361),f313(x76362,x76363)),f313(f313(f8(a883,x76361),x76362),f289(a883,f313(a103,x76363),x76364))),f313(f313(f8(a883,x76361),x76362),f289(a883,x76363,x76364)))+~P1(f313(f313(f222(a883),x76363),x76364))
% 119.46/119.25 [7648]~P24(x76482,x76481,x76483,f313(f160(x76482),x76484))+~P1(f313(f125(x76482),x76484))+P1(f313(f125(x76481),f313(f313(f142(x76482,x76481),x76483),x76484)))
% 119.46/119.25 [7697]~P1(f313(f313(f222(a883),x76972),x76974))+~P1(f313(f313(f222(a883),x76971),x76973))+P1(f313(f313(f222(a883),f313(f313(f74(a883),x76971),x76972)),f313(f313(f74(a883),x76973),x76974)))
% 119.46/119.25 [7698]~P1(f313(f313(f222(a883),x76982),x76984))+~P1(f313(f313(f222(a883),x76981),x76983))+P1(f313(f313(f222(a883),f313(f313(f73(a883),x76981),x76982)),f313(f313(f73(a883),x76983),x76984)))
% 119.46/119.25 [7699]~P1(f313(f313(f223(a883),x76992),x76994))+~P1(f313(f313(f223(a883),x76991),x76993))+P1(f313(f313(f223(a883),f313(f313(f73(a883),x76991),x76992)),f313(f313(f73(a883),x76993),x76994)))
% 119.46/119.25 [7702]~P1(f313(f313(f222(a1),x77022),x77024))+~P1(f313(f313(f223(a1),x77021),x77023))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x77021),x77022)),f313(f313(f73(a1),x77023),x77024)))
% 119.46/119.25 [7750]P1(f313(f313(f315(x77501),x77502),x77503))+~P1(f313(f313(f315(x77501),x77502),f31(f890(x77501,a881),x77504)))+~P1(f313(f313(f315(f890(x77501,a881)),x77503),x77504))
% 119.46/119.25 [7751]P1(f313(f313(f315(x77511),x77512),x77513))+~P1(f313(f313(f315(x77511),x77512),f31(f890(x77511,a881),x77514)))+~P1(f313(f313(f315(f890(x77511,a881)),x77513),x77514))
% 119.46/119.25 [7768]~P1(f313(x77681,f677(x77681,x77683,x77682)))+P1(f313(x77681,f313(f313(f152(x77682),x77683),x77684)))+~P1(f313(f313(f223(a883),x77684),f313(f179(f885(x77682)),x77683)))
% 119.46/119.25 [7773]P1(f313(x77731,x77732))+~P1(f313(f313(f315(x77734),x77732),f313(f160(x77734),x77733)))+P1(f313(f313(f223(a883),f680(x77731,x77733,x77734)),f313(f179(f885(x77734)),x77733)))
% 119.46/119.25 [7820]~P112(x78201)+~P1(f313(f313(f223(f890(x78202,x78201)),x78204),x78203))+~P1(f313(f313(f222(f890(x78202,x78201)),x78203),x78204))
% 119.46/119.25 [7864]~P1(f313(x78644,x78642))+~P1(f313(f313(f315(x78641),x78642),x78643))+P1(f313(f313(f315(x78641),x78642),f313(f313(f93(f890(x78641,a881)),x78643),f313(f250(x78641),x78644))))
% 119.46/119.25 [7877]P1(f313(f313(f315(x78771),x78772),x78773))+~P1(f313(f313(f222(f890(x78771,a881)),x78773),x78774))+P1(f313(f313(f222(f890(x78771,a881)),x78773),f313(f313(f295(x78771),x78772),x78774)))
% 119.46/119.25 [7878]P1(f313(f313(f315(x78781),x78782),x78783))+~P1(f313(f313(f222(f890(x78781,a881)),x78783),x78784))+P1(f313(f313(f222(f890(x78781,a881)),x78783),f313(f313(f295(x78781),x78782),x78784)))
% 119.46/119.25 [8010]~P1(f313(f313(f315(x80101),x80103),x80104))+~P1(f313(f313(f223(f890(x80101,a881)),x80102),x80104))+P1(f313(f313(f223(f890(x80101,a881)),x80102),f313(f313(f295(x80101),x80103),x80104)))
% 119.46/119.25 [8012]E(f313(f313(f93(f890(x80121,a881)),x80122),x80123),f178(f890(x80121,a881)))+~E(f313(f313(f93(f890(x80121,a881)),f30(f890(x80121,a881),x80124)),x80123),f178(f890(x80121,a881)))+~P1(f313(f313(f315(f890(x80121,a881)),x80122),x80124))
% 119.46/119.25 [8085]P1(f313(f313(f315(x80851),x80852),x80853))+~P1(f313(f313(f222(f890(x80851,a881)),x80853),f313(f313(f295(x80851),x80852),x80854)))+P1(f313(f313(f222(f890(x80851,a881)),x80853),x80854))
% 119.46/119.25 [8086]P1(f313(f313(f315(x80861),x80862),x80863))+~P1(f313(f313(f222(f890(x80861,a881)),x80863),f313(f313(f295(x80861),x80862),x80864)))+P1(f313(f313(f222(f890(x80861,a881)),x80863),x80864))
% 119.46/119.25 [8103]P1(f313(f313(f315(x81032),f677(x81031,x81033,x81032)),f313(f160(x81032),x81033)))+P1(f313(x81031,f313(f313(f152(x81032),x81033),x81034)))+~P1(f313(f313(f223(a883),x81034),f313(f179(f885(x81032)),x81033)))
% 119.46/119.25 [8111]~P1(f313(f313(f222(f890(x81111,a881)),x81112),x81114))+P1(f313(f313(f222(f890(x81111,a881)),x81112),x81113))+~P1(f313(f313(f222(f890(x81111,a881)),x81114),x81113))
% 119.46/119.25 [8112]~P1(f313(f313(f223(f890(x81121,a881)),x81122),x81124))+~P1(f313(f313(f222(f890(x81121,a881)),x81124),x81123))+P1(f313(f313(f223(f890(x81121,a881)),x81122),x81123))
% 119.46/119.25 [8113]~P1(f313(f313(f222(f890(x81131,a881)),x81132),x81134))+~P1(f313(f313(f223(f890(x81131,a881)),x81134),x81133))+P1(f313(f313(f223(f890(x81131,a881)),x81132),x81133))
% 119.46/119.25 [8114]~P1(f313(f313(f223(f890(x81141,a881)),x81142),x81144))+P1(f313(f313(f223(f890(x81141,a881)),x81142),x81143))+~P1(f313(f313(f223(f890(x81141,a881)),x81144),x81143))
% 119.46/119.25 [8156]~P1(f313(f313(f315(x81561),x81564),x81563))+~P1(f313(f313(f223(f890(x81561,a881)),x81562),f313(f313(f295(x81561),x81564),x81563)))+P1(f313(f313(f223(f890(x81561,a881)),x81562),x81563))
% 119.46/119.25 [8166]~P88(x81661)+P1(f313(f313(f222(x81661),x81662),x81663))+~P1(f313(f313(f222(x81661),f313(f313(f73(x81661),x81664),x81662)),f313(f313(f73(x81661),x81664),x81663)))
% 119.46/119.25 [8167]~P88(x81671)+P1(f313(f313(f222(x81671),x81672),x81673))+~P1(f313(f313(f222(x81671),f313(f313(f73(x81671),x81674),x81672)),f313(f313(f73(x81671),x81674),x81673)))
% 119.46/119.25 [8168]~P88(x81681)+P1(f313(f313(f222(x81681),x81682),x81683))+~P1(f313(f313(f222(x81681),f313(f313(f73(x81681),x81682),x81684)),f313(f313(f73(x81681),x81683),x81684)))
% 119.46/119.25 [8169]~P88(x81691)+P1(f313(f313(f222(x81691),x81692),x81693))+~P1(f313(f313(f222(x81691),f313(f313(f73(x81691),x81692),x81694)),f313(f313(f73(x81691),x81693),x81694)))
% 119.46/119.25 [8170]~P88(x81701)+P1(f313(f313(f223(x81701),x81702),x81703))+~P1(f313(f313(f223(x81701),f313(f313(f73(x81701),x81704),x81702)),f313(f313(f73(x81701),x81704),x81703)))
% 119.46/119.25 [8171]~P88(x81711)+P1(f313(f313(f223(x81711),x81712),x81713))+~P1(f313(f313(f223(x81711),f313(f313(f73(x81711),x81714),x81712)),f313(f313(f73(x81711),x81714),x81713)))
% 119.46/119.25 [8172]~P88(x81721)+P1(f313(f313(f223(x81721),x81722),x81723))+~P1(f313(f313(f223(x81721),f313(f313(f73(x81721),x81722),x81724)),f313(f313(f73(x81721),x81723),x81724)))
% 119.46/119.25 [8173]~P88(x81731)+P1(f313(f313(f223(x81731),x81732),x81733))+~P1(f313(f313(f223(x81731),f313(f313(f73(x81731),x81732),x81734)),f313(f313(f73(x81731),x81733),x81734)))
% 119.46/119.25 [8225]P1(f313(x82251,x82252))+~E(f313(f313(f126(x82253),f313(f179(f885(x82253)),f165(x82253,x82251,x82254))),x82254),f104(x82253))+~P1(f313(f313(f315(x82253),x82252),f313(f160(x82253),x82254)))
% 119.46/119.25 [8343]P1(f313(x83431,x83432))+~P1(f313(f313(f315(x83433),x83432),f313(f160(x83433),x83434)))+P1(f313(f313(f223(a883),f313(f179(f885(x83433)),f313(f124(x83433,x83431),x83434))),f313(f179(f885(x83433)),x83434)))
% 119.46/119.25 [8810]~P1(f313(x88101,f766(x88101,x88103,x88102,x88104)))+P1(f313(x88101,f313(f313(f152(x88102),x88103),x88104)))+~P1(f313(f313(f223(a883),x88104),f313(f179(f885(x88102)),x88103)))
% 119.46/119.25 [8834]~P24(x88344,x88343,x88341,f230(f890(x88344,a881)))+E(f313(x88341,f491(x88342,x88341,x88343,x88344)),x88342)+~P1(f313(f313(f315(x88343),x88342),f313(f296(x88344,x88343,x88341),f230(f890(x88344,a881)))))
% 119.46/119.25 [8898]E(f165(x88981,x88982,x88983),f313(f313(f163(x88981),x88984),x88983))+P1(f313(f313(f223(a883),f737(x88982,x88983,x88981,x88984)),x88984))+P1(f313(f313(f223(a883),x88984),f313(f179(f885(x88981)),x88983)))
% 119.46/119.25 [8901]E(f165(x89011,x89012,x89013),f313(f313(f163(x89011),x89014),x89013))+P1(f313(f313(f223(a883),f737(x89012,x89013,x89011,x89014)),x89014))+P1(f313(x89012,f313(f313(f152(x89011),x89013),x89014)))
% 119.46/119.25 [8938]P1(f313(x89381,x89382))+~P1(f313(f313(f315(x89384),x89382),f313(f160(x89384),x89383)))+P1(f313(f313(f223(a883),f712(x89382,x89381,x89383,x89384)),f313(f179(f885(x89384)),x89383)))
% 119.46/119.25 [8941]E(f165(x89411,x89412,x89413),f313(f313(f163(x89411),x89414),x89413))+P1(f313(f313(f223(a883),x89414),f313(f179(f885(x89411)),x89413)))+P1(f313(f313(f223(a883),f737(x89412,x89413,x89411,x89414)),f313(f179(f885(x89411)),x89413)))
% 119.46/119.25 [8948]E(f165(x89481,x89482,x89483),f313(f313(f163(x89481),x89484),x89483))+P1(f313(x89482,f313(f313(f152(x89481),x89483),x89484)))+P1(f313(f313(f223(a883),f737(x89482,x89483,x89481,x89484)),f313(f179(f885(x89481)),x89483)))
% 119.46/119.25 [8973]~P114(x89734)+P1(f313(f313(f315(x89731),f662(x89732,x89733,x89731,x89734)),x89733))+P1(f313(f313(f223(x89734),f2(x89734)),f313(f313(f11(x89731,x89734),x89732),x89733)))
% 119.46/119.25 [8974]~P114(x89744)+P1(f313(f313(f315(x89741),f663(x89742,x89743,x89741,x89744)),x89743))+P1(f313(f313(f222(x89744),f2(x89744)),f313(f313(f11(x89741,x89744),x89742),x89743)))
% 119.46/119.25 [8997]~P1(f313(f54(x89971),x89974))+P1(f313(f313(f315(x89971),f519(x89972,x89973,x89974,x89971)),x89974))+P1(f313(f54(f889(x89971,x89973)),f313(f313(f242(x89971,x89973),x89974),x89972)))
% 119.46/119.25 [9029]P1(f313(f313(f315(x90292),f766(x90291,x90293,x90292,x90294)),f313(f160(x90292),x90293)))+P1(f313(x90291,f313(f313(f152(x90292),x90293),x90294)))+~P1(f313(f313(f223(a883),x90294),f313(f179(f885(x90292)),x90293)))
% 119.46/119.25 [9159]P1(f313(f313(f222(a883),x91594),f313(f179(f885(x91592)),f165(x91592,x91593,x91591))))+P1(f313(f313(f223(a883),f738(x91591,x91592,x91593,x91594)),x91594))+~P1(f313(f313(f222(a883),x91594),f313(f179(f885(x91592)),x91591)))
% 119.46/119.25 [9311]E(f165(x93111,x93112,x93113),f313(f313(f163(x93111),x93114),x93113))+~P1(f313(x93112,f313(f313(f152(x93111),x93113),f737(x93112,x93113,x93111,x93114))))+P1(f313(f313(f223(a883),x93114),f313(f179(f885(x93111)),x93113)))
% 119.46/119.25 [9318]E(f165(x93181,x93182,x93183),f313(f313(f163(x93181),x93184),x93183))+~P1(f313(x93182,f313(f313(f152(x93181),x93183),f737(x93182,x93183,x93181,x93184))))+P1(f313(x93182,f313(f313(f152(x93181),x93183),x93184)))
% 119.46/119.25 [9322]~P1(f313(f54(x93221),x93223))+~P1(f313(f54(x93222),f313(x93224,f519(x93224,x93222,x93223,x93221))))+P1(f313(f54(f889(x93221,x93222)),f313(f313(f242(x93221,x93222),x93223),x93224)))
% 119.46/119.25 [9330]~P114(x93301)+~P1(f313(f313(f222(x93301),f2(x93301)),f313(x93303,f663(x93303,x93304,x93302,x93301))))+P1(f313(f313(f222(x93301),f2(x93301)),f313(f313(f11(x93302,x93301),x93303),x93304)))
% 119.46/119.25 [9331]~P114(x93311)+~P1(f313(f313(f223(x93311),f2(x93311)),f313(x93313,f662(x93313,x93314,x93312,x93311))))+P1(f313(f313(f223(x93311),f2(x93311)),f313(f313(f11(x93312,x93311),x93313),x93314)))
% 119.46/119.25 [9337]~E(f313(f179(f885(x93374)),x93372),f313(f179(f885(x93374)),x93373))+P1(f313(f313(f315(f889(f885(x93374),f885(x93374))),f313(f313(f240(f885(x93374),f885(x93374)),x93373),x93372)),f146(x93374,x93371)))+P1(f313(f313(f223(a883),f667(x93371,x93372,x93373,x93374)),f313(f179(f885(x93374)),x93373)))
% 119.46/119.25 [9390]~P1(f313(x93903,f313(f313(f152(x93902),x93904),f738(x93904,x93902,x93903,x93901))))+P1(f313(f313(f222(a883),x93901),f313(f179(f885(x93902)),f165(x93902,x93903,x93904))))+~P1(f313(f313(f222(a883),x93901),f313(f179(f885(x93902)),x93904)))
% 119.46/119.25 [9468]E(f313(f313(f163(x94681),f678(x94682,x94683,x94684,x94681)),x94683),f313(f313(f163(x94681),f678(x94682,x94683,x94684,x94681)),x94684))+~P1(f313(f313(f315(f889(f885(x94681),f885(x94681))),f313(f313(f240(f885(x94681),f885(x94681)),x94684),x94683)),f135(x94681,x94682)))+P1(f313(f313(f223(a883),f313(f179(f885(x94681)),x94684)),f313(f179(f885(x94681)),x94683)))
% 119.46/119.25 [9533]~P1(f313(f313(f223(a883),f2(a883)),x95333))+~P1(f313(f313(f223(a883),x95334),x95331))+P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),x95331),f38(a883,x95332,x95333))),x95334)),f313(f313(f74(a883),x95331),x95333)))
% 119.46/119.25 [9721]~P112(x97212)+~P1(f313(f313(f222(x97212),f313(x97213,f860(x97214,x97213,x97211,x97212))),f313(x97214,f860(x97214,x97213,x97211,x97212))))+P1(f313(f313(f222(f890(x97211,x97212)),x97213),x97214))
% 119.46/119.25 [9829]~P65(x98291)+E(f313(f313(f8(a883,x98291),f313(f313(f20(a883,x98291,x98291),f313(f313(f10(x98291,f890(x98291,x98291),a883),f3(x98291)),x98292)),f313(f313(f10(a883,x98291,a883),x98292),f313(f313(f9(a883,a883,a883),f73(a883)),f71(a883))))),f289(a883,x98293,x98294)),f313(f313(f3(x98291),f313(x98292,x98293)),f313(x98292,f313(f313(f73(a883),x98294),f71(a883)))))+~P1(f313(f313(f222(a883),x98293),x98294))
% 119.46/119.25 [6781]~P66(x67811)+E(f313(f313(f29(x67811),f313(f313(f74(x67811),x67812),x67813)),x67814),f313(f313(f74(x67811),x67812),f313(f313(f29(x67811),x67813),x67814)))+~P1(f313(f313(f273(x67811),x67814),x67813))
% 119.46/119.25 [6869]E(f313(f313(f122(x68691),x68692),x68693),x68694)+~E(x68693,f313(f313(f126(x68691),f313(f179(f885(x68691)),x68692)),x68694))+~E(f313(f313(f163(x68691),f313(f179(f885(x68691)),x68692)),x68694),x68692)
% 119.46/119.25 [6929]~P71(x69292)+E(x69291,f2(x69292))+E(f313(f313(f277(x69292),f313(f313(f232(x69292),x69293),x69294)),f313(f313(f232(x69292),x69291),x69294)),f313(f313(f232(x69292),f313(f313(f277(x69292),x69293),x69291)),x69294))
% 119.46/119.25 [7080]~P66(x70801)+E(f313(f313(f29(x70801),f313(f313(f74(x70801),x70802),x70803)),x70804),f313(f313(f74(x70801),f313(f313(f29(x70801),x70802),x70804)),x70803))+~P1(f313(f313(f273(x70801),x70804),x70802))
% 119.46/119.25 [7087]~P4(x70871)+~P1(f313(f313(f222(x70871),x70873),x70874))+P1(f313(f313(f222(x70871),f313(f313(f227(x70871),x70872),x70873)),x70874))
% 119.46/119.25 [7088]~P4(x70881)+~P1(f313(f313(f222(x70881),x70883),x70884))+P1(f313(f313(f222(x70881),f313(f313(f227(x70881),x70882),x70883)),x70884))
% 119.46/119.25 [7089]~P4(x70891)+~P1(f313(f313(f222(x70891),x70892),x70894))+P1(f313(f313(f222(x70891),f313(f313(f227(x70891),x70892),x70893)),x70894))
% 119.46/119.25 [7090]~P4(x70901)+~P1(f313(f313(f222(x70901),x70902),x70904))+P1(f313(f313(f222(x70901),f313(f313(f227(x70901),x70902),x70903)),x70904))
% 119.46/119.25 [7091]~P108(x70911)+~P1(f313(f313(f222(x70911),x70913),x70914))+P1(f313(f313(f222(x70911),f313(f313(f93(x70911),x70912),x70913)),x70914))
% 119.46/119.25 [7092]~P108(x70921)+~P1(f313(f313(f222(x70921),x70922),x70924))+P1(f313(f313(f222(x70921),f313(f313(f93(x70921),x70922),x70923)),x70924))
% 119.46/119.25 [7093]~P4(x70931)+~P1(f313(f313(f223(x70931),x70933),x70934))+P1(f313(f313(f223(x70931),f313(f313(f227(x70931),x70932),x70933)),x70934))
% 119.46/119.25 [7094]~P4(x70941)+~P1(f313(f313(f223(x70941),x70943),x70944))+P1(f313(f313(f223(x70941),f313(f313(f227(x70941),x70942),x70943)),x70944))
% 119.46/119.25 [7095]~P4(x70951)+~P1(f313(f313(f223(x70951),x70952),x70954))+P1(f313(f313(f223(x70951),f313(f313(f227(x70951),x70952),x70953)),x70954))
% 119.46/119.25 [7096]~P4(x70961)+~P1(f313(f313(f223(x70961),x70962),x70964))+P1(f313(f313(f223(x70961),f313(f313(f227(x70961),x70962),x70963)),x70964))
% 119.46/119.25 [7097]~P108(x70971)+~P1(f313(f313(f223(x70971),x70973),x70974))+P1(f313(f313(f223(x70971),f313(f313(f93(x70971),x70972),x70973)),x70974))
% 119.46/119.25 [7098]~P108(x70981)+~P1(f313(f313(f223(x70981),x70982),x70984))+P1(f313(f313(f223(x70981),f313(f313(f93(x70981),x70982),x70983)),x70984))
% 119.46/119.25 [7122]~P1(f313(x71223,x71224))+~P1(f313(x71222,x71224))+P1(f313(f313(f313(f93(f890(x71221,a881)),x71222),x71223),x71224))
% 119.46/119.25 [7388]~P66(x73881)+E(f313(f313(f29(x73881),f313(f313(f232(x73881),x73882),x73883)),f313(f313(f232(x73881),x73884),x73883)),f313(f313(f232(x73881),f313(f313(f29(x73881),x73882),x73884)),x73883))+~P1(f313(f313(f273(x73881),x73884),x73882))
% 119.46/119.25 [7626]~P79(x76261)+E(f313(f313(f73(x76261),f313(x76262,x76263)),f313(f313(f8(a883,x76261),x76262),f313(f288(a883,f313(a103,x76263)),x76264))),f313(f313(f8(a883,x76261),x76262),f313(f288(a883,x76263),x76264)))+~P1(f313(f313(f223(a883),x76263),x76264))
% 119.46/119.25 [7644]E(x76441,x76442)+P1(f313(f313(f160(x76443),x76444),x76442))+~P1(f313(f313(f160(x76443),f313(f313(f139(x76443),x76441),x76444)),x76442))
% 119.46/119.25 [7655]~P4(x76551)+P1(f313(f313(f222(x76551),x76552),x76553))+~P1(f313(f313(f222(x76551),f313(f313(f177(x76551),x76554),x76552)),x76553))
% 119.46/119.25 [7656]~P4(x76561)+P1(f313(f313(f222(x76561),x76562),x76563))+~P1(f313(f313(f222(x76561),f313(f313(f177(x76561),x76564),x76562)),x76563))
% 119.46/119.25 [7657]~P4(x76571)+P1(f313(f313(f222(x76571),x76572),x76573))+~P1(f313(f313(f222(x76571),f313(f313(f177(x76571),x76572),x76574)),x76573))
% 119.46/119.25 [7658]~P4(x76581)+P1(f313(f313(f222(x76581),x76582),x76583))+~P1(f313(f313(f222(x76581),f313(f313(f177(x76581),x76582),x76584)),x76583))
% 119.46/119.25 [7659]~P102(x76591)+P1(f313(f313(f222(x76591),x76592),x76593))+~P1(f313(f313(f222(x76591),f313(f313(f92(x76591),x76594),x76592)),x76593))
% 119.46/119.25 [7660]~P102(x76601)+P1(f313(f313(f222(x76601),x76602),x76603))+~P1(f313(f313(f222(x76601),f313(f313(f92(x76601),x76604),x76602)),x76603))
% 119.46/119.25 [7661]~P102(x76611)+P1(f313(f313(f222(x76611),x76612),x76613))+~P1(f313(f313(f222(x76611),f313(f313(f92(x76611),x76612),x76614)),x76613))
% 119.46/119.25 [7662]~P102(x76621)+P1(f313(f313(f222(x76621),x76622),x76623))+~P1(f313(f313(f222(x76621),f313(f313(f92(x76621),x76622),x76624)),x76623))
% 119.46/119.25 [7663]~P4(x76631)+P1(f313(f313(f223(x76631),x76632),x76633))+~P1(f313(f313(f223(x76631),f313(f313(f177(x76631),x76634),x76632)),x76633))
% 119.46/119.25 [7664]~P4(x76641)+P1(f313(f313(f223(x76641),x76642),x76643))+~P1(f313(f313(f223(x76641),f313(f313(f177(x76641),x76642),x76644)),x76643))
% 119.46/119.25 [7665]~P120(x76651)+P1(f313(f313(f273(x76651),x76652),x76653))+~P1(f313(f313(f273(x76651),f313(f313(f74(x76651),x76654),x76652)),x76653))
% 119.46/119.25 [7666]~P120(x76661)+P1(f313(f313(f273(x76661),x76662),x76663))+~P1(f313(f313(f273(x76661),f313(f313(f74(x76661),x76662),x76664)),x76663))
% 119.46/119.25 [7741]~P1(f313(f313(f315(x77411),x77412),x77414))+P1(f313(f313(f315(x77411),x77412),x77413))+P1(f313(f313(f315(x77411),x77412),f313(f313(f3(f890(x77411,a881)),x77414),x77413)))
% 119.46/119.25 [7742]~P1(f313(f313(f315(x77421),x77422),x77424))+P1(f313(f313(f315(x77421),x77422),x77423))+P1(f313(f313(f315(x77421),x77422),f313(f313(f3(f890(x77421,a881)),x77424),x77423)))
% 119.46/119.25 [7827]P1(f313(x78271,x78272))+P1(f313(x78273,x78272))+~P1(f313(f313(f313(f92(f890(x78274,a881)),x78273),x78271),x78272))
% 119.46/119.25 [7837]~P1(f313(f313(f315(x78371),x78372),x78374))+~P1(f313(f313(f315(x78371),x78372),x78373))+P1(f313(f313(f315(x78371),x78372),f313(f313(f93(f890(x78371,a881)),x78373),x78374)))
% 119.46/119.25 [7838]~P1(f313(f313(f315(x78381),x78382),x78384))+~P1(f313(f313(f315(x78381),x78382),x78383))+P1(f313(f313(f315(x78381),x78382),f313(f313(f93(f890(x78381,a881)),x78383),x78384)))
% 119.46/119.25 [7886]~P4(x78861)+~P1(f313(f54(x78861),x78864))+E(f313(f313(f57(x78861,x78861,f227(x78861)),x78862),f313(f313(f295(x78861),x78863),x78864)),f313(f313(f227(x78861),x78863),f313(f313(f57(x78861,x78861,f227(x78861)),x78862),x78864)))
% 119.46/119.25 [7887]~P4(x78871)+~P1(f313(f54(x78871),x78874))+E(f313(f313(f57(x78871,x78871,f177(x78871)),x78872),f313(f313(f295(x78871),x78873),x78874)),f313(f313(f177(x78871),x78873),f313(f313(f57(x78871,x78871,f177(x78871)),x78872),x78874)))
% 119.46/119.25 [7888]~P102(x78881)+~P1(f313(f54(x78881),x78884))+E(f313(f313(f57(x78881,x78881,f92(x78881)),x78882),f313(f313(f295(x78881),x78883),x78884)),f313(f313(f92(x78881),x78883),f313(f313(f57(x78881,x78881,f92(x78881)),x78882),x78884)))
% 119.46/119.25 [7889]~P108(x78891)+~P1(f313(f54(x78891),x78894))+E(f313(f313(f57(x78891,x78891,f93(x78891)),x78892),f313(f313(f295(x78891),x78893),x78894)),f313(f313(f93(x78891),x78893),f313(f313(f57(x78891,x78891,f93(x78891)),x78892),x78894)))
% 119.46/119.25 [7891]~P99(x78911)+~P147(x78911)+E(f313(f313(f73(x78911),f313(f313(f74(x78911),f313(f95(x78911),x78912)),x78913)),f313(f313(f74(x78911),f313(f95(x78911),x78912)),x78914)),f313(f313(f74(x78911),f313(f95(x78911),x78912)),f313(f313(f73(x78911),x78913),x78914)))
% 119.46/119.25 [7892]~P99(x78921)+~P145(x78921)+E(f313(f313(f3(x78921),f313(f313(f74(x78921),f313(f95(x78921),x78922)),x78923)),f313(f313(f74(x78921),f313(f95(x78921),x78922)),x78924)),f313(f313(f74(x78921),f313(f95(x78921),x78922)),f313(f313(f3(x78921),x78923),x78924)))
% 119.46/119.25 [8007]E(x80071,x80072)+P1(f313(f313(f315(x80073),x80071),f313(f160(x80073),x80074)))+~P1(f313(f313(f315(x80073),x80071),f313(f160(x80073),f313(f313(f139(x80073),x80072),x80074))))
% 119.46/119.25 [8179]P57(x81791,x81792,x81793)+~P57(x81791,x81792,x81794)+~P1(f313(f313(f222(f890(f889(x81791,x81792),a881)),x81793),x81794))
% 119.46/119.25 [8226]P1(f313(f313(f315(x82261),x82262),x82263))+P1(f313(f313(f315(x82261),x82262),x82264))+~P1(f313(f313(f315(x82261),x82262),f313(f313(f92(f890(x82261,a881)),x82264),x82263)))
% 119.46/119.25 [8227]P1(f313(f313(f315(x82271),x82272),x82273))+P1(f313(f313(f315(x82271),x82272),x82274))+~P1(f313(f313(f315(x82271),x82272),f313(f313(f92(f890(x82271,a881)),x82274),x82273)))
% 119.46/119.25 [8235]~P55(x82351,x82354,x82353)+~P1(f313(f313(f315(x82351),x82352),x82354))+P1(f313(f313(f315(f889(x82351,x82351)),f313(f313(f240(x82351,x82351),x82352),x82352)),x82353))
% 119.46/119.25 [8236]~P55(x82361,x82364,x82363)+~P1(f313(f313(f315(x82361),x82362),x82364))+P1(f313(f313(f315(f889(x82361,x82361)),f313(f313(f240(x82361,x82361),x82362),x82362)),x82363))
% 119.46/119.25 [8237]~P55(x82371,x82374,x82373)+~P1(f313(f313(f315(x82371),x82372),x82374))+P1(f313(f313(f315(f889(x82371,x82371)),f313(f313(f240(x82371,x82371),x82372),x82372)),x82373))
% 119.46/119.25 [8249]~P1(f313(f54(x82492),x82494))+~P1(f313(f54(x82491),x82493))+P1(f313(f54(f889(x82491,x82492)),f313(f313(f242(x82491,x82492),x82493),f313(f18(f890(x82492,a881),x82491),x82494))))
% 119.46/119.25 [8250]~P1(f313(f313(f315(x82501),x82502),x82504))+~P1(f313(f313(f222(f890(x82501,a881)),x82503),x82504))+P1(f313(f313(f222(f890(x82501,a881)),f313(f313(f295(x82501),x82502),x82503)),x82504))
% 119.46/119.25 [8257]~P2(x82572)+~P75(x82572)+E(f313(f313(f11(x82571,x82572),f313(f313(f10(a883,x82572,x82571),f91(x82572)),x82573)),x82574),f313(f91(x82572),f313(f313(f11(x82571,a883),x82573),x82574)))
% 119.46/119.25 [8258]~P75(x82582)+~P144(x82582)+E(f313(f313(f11(x82581,x82582),f313(f313(f10(a1,x82582,x82581),f94(x82582)),x82583)),x82584),f313(f94(x82582),f313(f313(f11(x82581,a1),x82583),x82584)))
% 119.46/119.25 [8282]E(f313(f313(f3(f890(x82821,a881)),x82822),f313(f313(f3(f890(x82821,a881)),x82823),x82824)),x82824)+~P1(f313(f313(f222(f890(x82821,a881)),x82822),x82823))+~P1(f313(f313(f222(f890(x82821,a881)),x82824),x82822))
% 119.46/119.25 [8377]~P1(f313(f54(x83771),x83774))+E(f313(f313(f3(a883),f313(f313(f8(x83771,a883),x83772),x83773)),f313(f313(f8(x83771,a883),x83772),x83774)),f313(f313(f8(x83771,a883),x83772),f313(f313(f3(f890(x83771,a881)),x83773),x83774)))+~P1(f313(f313(f222(f890(x83771,a881)),x83774),x83773))
% 119.46/119.25 [8529]~P8(x85291,x85294,x85293)+~P1(f313(f313(f315(x85291),x85292),x85294))+P1(f313(f313(f315(x85291),x85292),f313(f271(x85291,x85291,x85293),f313(f313(f295(x85291),x85292),f178(f890(x85291,a881))))))
% 119.46/119.25 [8592]~P1(f313(f313(f222(f890(x85921,a881)),x85922),x85923))+~P1(f313(f313(f222(f890(x85921,a881)),x85922),x85924))+P1(f313(f313(f222(f890(x85921,a881)),x85922),f313(f313(f93(f890(x85921,a881)),x85923),x85924)))
% 119.46/119.25 [8688]E(x86881,f178(f890(x86882,a881)))+P1(f313(f54(x86883),x86884))+~P1(f313(f54(f889(x86883,x86882)),f313(f313(f242(x86883,x86882),x86884),f313(f18(f890(x86882,a881),x86883),x86881))))
% 119.46/119.25 [8689]E(x86891,f178(f890(x86892,a881)))+P1(f313(f54(x86893),x86894))+~P1(f313(f54(f889(x86892,x86893)),f313(f313(f242(x86892,x86893),x86891),f313(f18(f890(x86893,a881),x86892),x86894))))
% 119.46/119.25 [8751]P1(f313(f313(f315(x87511),x87512),f302(x87511,x87513)))+~P1(f313(f313(f315(x87511),x87514),f302(x87511,x87513)))+~P1(f313(f313(f315(f889(x87511,x87511)),f313(f313(f240(x87511,x87511),x87512),x87514)),x87513))
% 119.46/119.25 [8752]P1(f313(f313(f315(x87521),x87522),f302(x87521,x87523)))+~P1(f313(f313(f315(x87521),x87524),f302(x87521,x87523)))+~P1(f313(f313(f315(f889(x87521,x87521)),f313(f313(f240(x87521,x87521),x87522),x87524)),x87523))
% 119.46/119.25 [8803]~P36(x88031,x88034)+P1(f313(f313(f315(f889(x88031,x88031)),f313(f313(f240(x88031,x88031),x88033),x88032)),f293(x88031,x88034)))+P36(x88031,f313(f313(f295(f889(x88031,x88031)),f313(f313(f240(x88031,x88031),x88032),x88033)),x88034))
% 119.46/119.25 [8804]~P60(x88041,x88044)+P1(f313(f313(f315(f889(x88041,x88041)),f313(f313(f240(x88041,x88041),x88043),x88042)),f293(x88041,x88044)))+P60(x88041,f313(f313(f295(f889(x88041,x88041)),f313(f313(f240(x88041,x88041),x88042),x88043)),x88044))
% 119.46/119.25 [8883]~E(x88832,x88833)+~P1(f313(f313(f315(x88831),x88832),f313(f160(x88831),x88834)))+P1(f313(f313(f315(f889(x88831,x88831)),f313(f313(f240(x88831,x88831),x88832),x88833)),f313(f160(f889(x88831,x88831)),f313(f313(f169(x88831,x88831),x88834),x88834))))
% 119.46/119.25 [8908]~P39(f890(x89081,a881),f890(x89081,a881),x89083)+~P1(f313(f313(f315(x89081),x89082),f87(f890(x89081,a881),x89083)))+P1(f313(f313(f315(x89081),x89082),f313(x89083,f313(f313(f92(f890(x89081,a881)),x89084),f87(f890(x89081,a881),x89083)))))
% 119.46/119.25 [8972]~E(x89723,x89724)+P1(f313(f313(f245(x89721,x89721,a881),a310),x89722))+~P1(f313(f313(f315(f889(x89721,x89721)),x89722),f313(f160(f889(x89721,x89721)),f313(f313(f169(x89721,x89721),x89723),x89724))))
% 119.46/119.25 [9013]P1(f313(f313(f315(f889(f885(x90131),f885(x90131))),f313(f313(f240(f885(x90131),f885(x90131)),x90132),x90133)),f135(x90131,x90134)))+~E(f313(f313(f163(x90131),f313(f179(f885(x90131)),x90132)),x90133),x90132)+~P1(f313(f313(f223(a883),f313(f179(f885(x90131)),x90132)),f313(f179(f885(x90131)),x90133)))
% 119.46/119.25 [9015]~P54(x90151,x90154)+~P1(f313(f313(f315(f889(x90151,x90151)),f313(f313(f240(x90151,x90151),x90153),x90152)),x90154))+P1(f313(f313(f315(f889(x90151,x90151)),f313(f313(f240(x90151,x90151),x90152),x90153)),x90154))
% 119.46/119.25 [9016]~P54(x90161,x90164)+~P1(f313(f313(f315(f889(x90161,x90161)),f313(f313(f240(x90161,x90161),x90163),x90162)),x90164))+P1(f313(f313(f315(f889(x90161,x90161)),f313(f313(f240(x90161,x90161),x90162),x90163)),x90164))
% 119.46/119.25 [9110]~P1(f313(f54(x91101),x91104))+P1(f313(f313(f315(x91101),f371(x91102,x91103,x91104,x91101)),x91104))+P1(f313(f54(x91103),f313(f313(f33(x91101,f890(x91103,a881)),x91104),x91102)))
% 119.46/119.25 [9111]~P1(f313(f54(x91111),x91114))+P1(f313(f313(f315(x91111),f571(x91112,x91113,x91114,x91111)),x91114))+P1(f313(f54(x91113),f313(f313(f33(x91111,f890(x91113,a881)),x91114),x91112)))
% 119.46/119.25 [9195]P1(f313(f313(f315(f889(x91951,x91951)),x91952),f313(f313(f275(x91951,x91951,x91951),x91953),f293(x91951,x91953))))+~P1(f313(f313(f223(a883),f2(a883)),x91954))+~P1(f313(f313(f315(f889(x91951,x91951)),x91952),f313(f313(f171(f889(x91951,x91951),a881),x91954),x91953)))
% 119.46/119.25 [9202]~P36(x92021,x92022)+~P1(f313(f313(f315(f889(x92021,x92021)),f313(f313(f240(x92021,x92021),x92024),x92023)),x92022))+~P1(f313(f313(f315(f889(x92021,x92021)),f313(f313(f240(x92021,x92021),x92023),x92024)),x92022))
% 119.46/119.25 [9203]~P36(x92031,x92032)+~P1(f313(f313(f315(f889(x92031,x92031)),f313(f313(f240(x92031,x92031),x92034),x92033)),x92032))+~P1(f313(f313(f315(f889(x92031,x92031)),f313(f313(f240(x92031,x92031),x92033),x92034)),x92032))
% 119.46/119.25 [9329]~P1(f313(f54(x93291),x93294))+E(f313(f313(f8(x93291,a883),f313(f313(f10(f890(x93292,a881),a883,x93291),f28(x93292)),x93293)),x93294),f313(f28(f889(x93291,x93292)),f313(f313(f242(x93291,x93292),x93294),x93293)))+P1(f313(f313(f315(x93291),f520(x93293,x93292,x93294,x93291)),x93294))
% 119.46/119.25 [9333]~P1(f313(f125(x93331),x93332))+P1(f313(f125(x93331),f313(f313(f147(x93331,x93332),x93333),x93334)))+P1(f313(f313(f315(x93331),x93334),f313(f313(f3(f890(x93331,a881)),f313(f160(x93331),x93332)),f313(f313(f295(x93331),f313(f313(f152(x93331),x93332),x93333)),f178(f890(x93331,a881))))))
% 119.46/119.25 [9348]~P1(f313(f54(x93482),x93483))+~P1(f313(f54(x93481),f313(x93484,f371(x93484,x93481,x93483,x93482))))+P1(f313(f54(x93481),f313(f313(f33(x93482,f890(x93481,a881)),x93483),x93484)))
% 119.46/119.25 [9349]~P1(f313(f54(x93492),x93493))+~P1(f313(f54(x93491),f313(x93494,f571(x93494,x93491,x93493,x93492))))+P1(f313(f54(x93491),f313(f313(f33(x93492,f890(x93491,a881)),x93493),x93494)))
% 119.46/119.25 [9427]~P1(f313(f313(f315(f889(x94271,x94271)),x94272),f313(f313(f275(x94271,x94271,x94271),x94274),f293(x94271,x94274))))+P1(f313(f313(f315(f889(x94271,x94271)),x94272),f313(f313(f275(x94271,x94271,x94271),x94273),f293(x94271,x94273))))+~P1(f313(f313(f222(f890(f889(x94271,x94271),a881)),x94274),x94273))
% 119.46/119.25 [9436]E(f313(f313(f163(x94361),f678(x94364,x94363,x94362,x94361)),x94363),f313(f313(f163(x94361),f678(x94364,x94363,x94362,x94361)),x94362))+~P1(f313(f313(f315(f889(f885(x94361),f885(x94361))),f313(f313(f240(f885(x94361),f885(x94361)),x94362),x94363)),f135(x94361,x94364)))+E(f313(f313(f163(x94361),f313(f179(f885(x94361)),x94362)),x94363),x94362)
% 119.46/119.25 [9452]~P1(f313(f54(x94521),x94524))+E(f313(f313(f8(x94521,a883),f313(f313(f10(f890(x94522,a881),a883,x94521),f28(x94522)),x94523)),x94524),f313(f28(f889(x94521,x94522)),f313(f313(f242(x94521,x94522),x94524),x94523)))+~P1(f313(f54(x94522),f313(x94523,f520(x94523,x94522,x94524,x94521))))
% 119.46/119.25 [9455]~E(f313(f179(f885(x94551)),x94553),f313(f179(f885(x94551)),x94552))+P1(f313(f313(f315(f889(f885(x94551),f885(x94551))),f313(f313(f240(f885(x94551),f885(x94551)),x94552),x94553)),f146(x94551,x94554)))+P1(f313(f313(f315(f889(x94551,x94551)),f682(x94554,x94553,x94552,x94551)),f313(f160(f889(x94551,x94551)),f313(f313(f169(x94551,x94551),x94552),x94553))))
% 119.46/119.25 [9544]~P1(f313(f313(f315(f889(f885(x95441),f885(x95441))),f313(f313(f240(f885(x95441),f885(x95441)),x95442),x95443)),f135(x95441,x95444)))+E(f313(f313(f163(x95441),f313(f179(f885(x95441)),x95442)),x95443),x95442)+P1(f313(f313(f223(a883),f678(x95444,x95443,x95442,x95441)),f313(f313(f227(a883),f313(f179(f885(x95441)),x95442)),f313(f179(f885(x95441)),x95443))))
% 119.46/119.25 [9564]~P1(f313(f313(f315(f889(f885(x95641),f885(x95641))),f313(f313(f240(f885(x95641),f885(x95641)),x95642),x95643)),f135(x95641,x95644)))+P1(f313(f313(f223(a883),f313(f179(f885(x95641)),x95642)),f313(f179(f885(x95641)),x95643)))+P1(f313(f313(f223(a883),f678(x95644,x95643,x95642,x95641)),f313(f313(f227(a883),f313(f179(f885(x95641)),x95642)),f313(f179(f885(x95641)),x95643))))
% 119.46/119.25 [9971]~P1(f313(f313(f315(f889(f885(x99711),f885(x99711))),f313(f313(f240(f885(x99711),f885(x99711)),x99712),x99713)),f135(x99711,x99714)))+E(f313(f313(f163(x99711),f313(f179(f885(x99711)),x99712)),x99713),x99712)+P1(f313(f313(f315(f889(x99711,x99711)),f313(f313(f240(x99711,x99711),f313(f313(f152(x99711),x99712),f678(x99714,x99713,x99712,x99711))),f313(f313(f152(x99711),x99713),f678(x99714,x99713,x99712,x99711)))),x99714))
% 119.46/119.25 [9972]~P1(f313(f313(f315(f889(f885(x99721),f885(x99721))),f313(f313(f240(f885(x99721),f885(x99721)),x99722),x99723)),f135(x99721,x99724)))+P1(f313(f313(f223(a883),f313(f179(f885(x99721)),x99722)),f313(f179(f885(x99721)),x99723)))+P1(f313(f313(f315(f889(x99721,x99721)),f313(f313(f240(x99721,x99721),f313(f313(f152(x99721),x99722),f678(x99724,x99723,x99722,x99721))),f313(f313(f152(x99721),x99723),f678(x99724,x99723,x99722,x99721)))),x99724))
% 119.46/119.25 [10042]~E(f313(f179(f885(x100421)),x100422),f313(f179(f885(x100421)),x100423))+P1(f313(f313(f315(f889(f885(x100421),f885(x100421))),f313(f313(f240(f885(x100421),f885(x100421)),x100422),x100423)),f146(x100421,x100424)))+~P1(f313(f313(f315(f889(x100421,x100421)),f313(f313(f240(x100421,x100421),f313(f313(f152(x100421),x100422),f667(x100424,x100423,x100422,x100421))),f313(f313(f152(x100421),x100423),f667(x100424,x100423,x100422,x100421)))),x100424))
% 119.46/119.25 [10183]~P79(x101831)+~P1(f313(f54(x101832),x101834))+E(f313(f153(x101831),f313(f313(f142(x101832,x101831),x101833),f83(f885(x101832),f313(f313(f20(f885(x101832),a881,a881),f313(f313(f10(a881,f890(a881,a881),f885(x101832)),a311),f313(f313(f9(f885(x101832),f890(x101832,a881),a881),f313(f313(f10(f890(x101832,a881),f890(f890(x101832,a881),a881),f885(x101832)),a310),f160(x101832))),x101834))),f125(x101832))))),f221(x101832,x101831,x101833,x101834))
% 119.46/119.25 [7472]~P70(x74722)+E(x74721,f2(x74722))+E(f313(f313(f277(x74722),f313(f313(f73(x74722),x74723),f313(f313(f74(x74722),x74724),x74721))),x74721),f313(f313(f73(x74722),x74724),f313(f313(f277(x74722),x74723),x74721)))
% 119.46/119.25 [7473]~P66(x74732)+E(x74731,f2(x74732))+E(f313(f313(f29(x74732),f313(f313(f73(x74732),x74733),f313(f313(f74(x74732),x74734),x74731))),x74731),f313(f313(f73(x74732),x74734),f313(f313(f29(x74732),x74733),x74731)))
% 119.46/119.25 [7474]~P66(x74742)+E(x74741,f2(x74742))+E(f313(f313(f29(x74742),f313(f313(f73(x74742),x74743),f313(f313(f74(x74742),x74741),x74744))),x74741),f313(f313(f73(x74742),x74744),f313(f313(f29(x74742),x74743),x74741)))
% 119.46/119.25 [7705]~P70(x77052)+E(x77051,f2(x77052))+E(f313(f313(f277(x77052),f313(f313(f73(x77052),x77053),f313(f313(f74(x77052),x77054),x77051))),x77051),f313(f313(f73(x77052),f313(f313(f277(x77052),x77053),x77051)),x77054))
% 119.46/119.25 [7706]~P71(x77062)+E(x77061,f2(x77062))+E(f313(f313(f277(x77062),f313(f313(f73(x77062),x77063),f313(f313(f74(x77062),x77061),x77064))),x77061),f313(f313(f73(x77062),f313(f313(f277(x77062),x77063),x77061)),x77064))
% 119.46/119.25 [7707]~P71(x77072)+E(x77071,f2(x77072))+E(f313(f313(f277(x77072),f313(f313(f3(x77072),x77073),f313(f313(f74(x77072),x77071),x77074))),x77071),f313(f313(f3(x77072),f313(f313(f277(x77072),x77073),x77071)),x77074))
% 119.46/119.25 [8407]~P1(f313(f148(x84071,x84073),x84074))+~P1(f313(f148(x84071,x84072),x84074))+P1(f313(f148(x84071,f313(f313(f93(f890(x84071,a881)),x84072),x84073)),x84074))
% 119.46/119.25 [8766]~E(f313(f313(f275(x87661,x87661,x87661),x87662),x87664),f178(f890(f889(x87661,x87661),a881)))+~E(f313(f313(f275(x87661,x87661,x87661),x87662),x87663),f178(f890(f889(x87661,x87661),a881)))+E(f313(f313(f275(x87661,x87661,x87661),x87662),f313(f313(f92(f890(f889(x87661,x87661),a881)),x87663),x87664)),f178(f890(f889(x87661,x87661),a881)))
% 119.46/119.25 [8884]~P1(f313(f313(f222(f890(x88841,a881)),x88843),x88844))+~P1(f313(f313(f222(f890(x88841,a881)),x88842),x88844))+P1(f313(f313(f222(f890(x88841,a881)),f313(f313(f92(f890(x88841,a881)),x88842),x88843)),x88844))
% 119.46/119.25 [9258]~P1(f313(f54(x92581),x92584))+~P1(f313(f54(x92581),x92583))+E(f313(f313(f3(a883),f313(f313(f73(a883),f313(f313(f8(x92581,a883),x92582),x92583)),f313(f313(f8(x92581,a883),x92582),x92584))),f313(f313(f8(x92581,a883),x92582),f313(f313(f93(f890(x92581,a881)),x92583),x92584))),f313(f313(f8(x92581,a883),x92582),f313(f313(f92(f890(x92581,a881)),x92583),x92584)))
% 119.46/119.25 [9344]~P1(f313(f313(f315(x93441),x93443),x93442))+~P1(f313(f313(f222(f890(x93441,a881)),x93442),f313(f313(f295(x93441),x93443),x93444)))+P1(f313(f313(f222(f890(x93441,a881)),f313(f313(f3(f890(x93441,a881)),x93442),f313(f313(f295(x93441),x93443),f178(f890(x93441,a881))))),x93444))
% 119.46/119.25 [9518]~P1(f313(f313(f315(x95181),x95183),x95182))+P1(f313(f313(f222(f890(x95181,a881)),x95182),f313(f313(f295(x95181),x95183),x95184)))+~P1(f313(f313(f222(f890(x95181,a881)),f313(f313(f3(f890(x95181,a881)),x95182),f313(f313(f295(x95181),x95183),f178(f890(x95181,a881))))),x95184))
% 119.46/119.25 [9519]~P1(f313(f313(f315(x95191),x95193),x95192))+P1(f313(f313(f222(f890(x95191,a881)),x95192),f313(f313(f295(x95191),x95193),x95194)))+~P1(f313(f313(f222(f890(x95191,a881)),f313(f313(f3(f890(x95191,a881)),x95192),f313(f313(f295(x95191),x95193),f178(f890(x95191,a881))))),x95194))
% 119.46/119.25 [9543]~P1(f313(f313(f222(f890(x95431,a881)),x95432),x95434))+P1(f313(f313(f222(f890(x95431,a881)),x95432),f313(f313(f295(x95431),x95433),x95434)))+~P1(f313(f313(f222(f890(x95431,a881)),f313(f313(f3(f890(x95431,a881)),x95432),f313(f313(f295(x95431),x95433),f178(f890(x95431,a881))))),x95434))
% 119.46/119.25 [9602]~P1(f313(f313(f222(a883),x96021),x96023))+~P1(f313(f313(f223(a883),x96022),x96024))+P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),f313(f313(f240(a883,a883),x96021),x96022)),f313(f313(f240(a883,a883),x96023),x96024))),a26))
% 119.46/119.25 [9603]~P1(f313(f313(f222(a883),x96032),x96034))+~P1(f313(f313(f222(a883),x96031),x96033))+P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),f313(f313(f240(a883,a883),x96031),x96032)),f313(f313(f240(a883,a883),x96033),x96034))),a64))
% 119.46/119.25 [9904]~P1(f313(f313(f315(f885(x99041)),x99044),f149(x99041,x99043)))+~P1(f313(f313(f315(f885(x99041)),x99044),f149(x99041,x99042)))+P1(f313(f148(x99041,f313(f313(f93(f890(x99041,a881)),f313(f313(f9(x99041,f890(x99041,a881),a881),f315(x99041)),x99042)),f313(f313(f9(x99041,f890(x99041,a881),a881),f315(x99041)),x99043))),x99044))
% 119.46/119.25 [10008]~P24(x100081,f890(f890(x100081,a881),a881),f313(f313(f9(x100081,f890(f889(x100081,x100081),a881),f890(f890(x100081,a881),a881)),f313(f313(f10(f890(x100081,a881),f890(f890(f889(x100081,x100081),a881),f890(f890(x100081,a881),a881)),x100081),f53(x100081)),f313(f313(f9(x100081,f890(x100081,a881),f890(x100081,a881)),f295(x100081)),f178(f890(x100081,a881))))),x100083),x100082)+~P1(f313(f313(f315(x100081),x100084),x100082))+E(f313(f313(f3(f890(f890(x100081,a881),a881)),f313(f313(f53(x100081),x100082),x100083)),f313(f313(f53(x100081),f313(f313(f295(x100081),x100084),f178(f890(x100081,a881)))),x100083)),f313(f313(f53(x100081),f313(f313(f3(f890(x100081,a881)),x100082),f313(f313(f295(x100081),x100084),f178(f890(x100081,a881))))),x100083))
% 119.46/119.25 [10144]~P55(x101441,x101442,x101444)+~P1(f313(f313(f315(f889(x101441,x101441)),x101443),x101444))+P1(f313(f313(f245(x101441,x101441,a881),f313(f313(f9(x101441,f890(x101441,a881),f890(x101441,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x101441,a881),f890(x101441,a881)),x101441),f10(a881,a881,x101441)),f313(f313(f10(a881,f890(a881,a881),x101441),a311),f313(f313(f9(x101441,f890(x101441,a881),a881),f315(x101441)),x101442)))),f313(f313(f9(x101441,f890(x101441,a881),a881),f315(x101441)),x101442))),x101443))
% 119.46/119.25 [10154]P1(f313(f54(x101541),x101542))+~P1(f313(f54(x101543),f313(f296(x101541,x101543,x101544),x101542)))+~P1(f313(f54(x101541),f313(f250(x101541),f313(f313(f20(x101541,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101541),a311),f313(f313(f9(x101541,f890(x101541,a881),a881),f315(x101541)),x101542))),f313(f313(f9(x101541,x101543,a881),f313(f313(f10(x101543,f890(x101543,a881),x101541),a310),x101544)),f313(x101544,f563(x101544,x101543,x101542,x101541)))))))
% 119.46/119.25 [8162]~P71(x81622)+E(x81621,f2(x81622))+E(f313(f313(f277(x81622),f313(f313(f73(x81622),f313(f313(f74(x81622),x81621),x81623)),x81624)),x81621),f313(f313(f73(x81622),x81623),f313(f313(f277(x81622),x81624),x81621)))
% 119.46/119.25 [8163]~P71(x81632)+E(x81631,f2(x81632))+E(f313(f313(f277(x81632),f313(f313(f3(x81632),f313(f313(f74(x81632),x81631),x81633)),x81634)),x81631),f313(f313(f3(x81632),x81633),f313(f313(f277(x81632),x81634),x81631)))
% 119.46/119.25 [9043]~E(f313(f313(f275(x90431,x90431,x90431),x90433),x90434),f178(f890(f889(x90431,x90431),a881)))+~E(f313(f313(f275(x90431,x90431,x90431),x90432),x90434),f178(f890(f889(x90431,x90431),a881)))+E(f313(f313(f275(x90431,x90431,x90431),f313(f313(f92(f890(f889(x90431,x90431),a881)),x90432),x90433)),x90434),f178(f890(f889(x90431,x90431),a881)))
% 119.46/119.25 [9819]~P1(f313(f148(x98191,x98193),x98194))+~P1(f313(f148(x98191,x98192),x98194))+P1(f313(f148(x98191,f313(f313(f20(x98191,a881,a881),f313(f313(f10(a881,f890(a881,a881),x98191),a311),x98192)),x98193)),x98194))
% 119.46/119.25 [10083]P1(f313(x100831,f545(x100832,x100833,x100831,x100834)))+~P1(f313(f54(x100834),f313(f250(x100834),x100831)))+P1(f313(f54(x100833),f313(f250(x100833),f313(f313(f10(f890(x100834,a881),a881,x100833),f80(x100834)),f313(f313(f10(f890(x100834,a881),f890(x100834,a881),x100833),f313(f20(x100834,a881,a881),f313(f313(f10(a881,f890(a881,a881),x100834),a311),x100831))),x100832)))))
% 119.46/119.25 [10101]~P1(f313(f54(x101012),f313(f250(x101012),x101013)))+~P1(f313(f54(x101011),f313(f250(x101011),f313(f313(f9(x101011,x101012,a881),x101014),f545(x101014,x101011,x101013,x101012)))))+P1(f313(f54(x101011),f313(f250(x101011),f313(f313(f10(f890(x101012,a881),a881,x101011),f80(x101012)),f313(f313(f10(f890(x101012,a881),f890(x101012,a881),x101011),f313(f20(x101012,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101012),a311),x101013))),x101014)))))
% 119.46/119.25 [10165]~P1(f313(f54(x101651),x101654))+P1(f313(f313(f315(x101651),f805(x101652,x101653,x101654,x101651)),x101654))+P1(f313(f54(x101653),f313(f250(x101653),f313(f313(f10(f890(x101651,a881),a881,x101653),f80(x101651)),f313(f313(f10(f890(x101651,a881),f890(x101651,a881),x101653),f313(f20(x101651,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101651),a311),f313(f313(f9(x101651,f890(x101651,a881),a881),f315(x101651)),x101654)))),x101652)))))
% 119.46/119.25 [10171]~P1(f313(f54(x101712),x101713))+~P1(f313(f54(x101711),f313(f250(x101711),f313(f313(f9(x101711,x101712,a881),x101714),f805(x101714,x101711,x101713,x101712)))))+P1(f313(f54(x101711),f313(f250(x101711),f313(f313(f10(f890(x101712,a881),a881,x101711),f80(x101712)),f313(f313(f10(f890(x101712,a881),f890(x101712,a881),x101711),f313(f20(x101712,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101712),a311),f313(f313(f9(x101712,f890(x101712,a881),a881),f315(x101712)),x101713)))),x101714)))))
% 119.46/119.25 [4999]~E(x49992,x49994)+E(f157(x49991,x49992,x49993),f157(x49991,x49994,x49995))+~E(x49992,f2(a883))
% 119.46/119.25 [5256]E(x52561,x52562)+~E(f157(x52564,x52563,x52561),f157(x52564,x52565,x52562))+E(x52563,f2(a883))
% 119.46/119.25 [6566]E(x65661,x65662)+~E(f313(x65663,x65661),f313(x65663,x65662))+~P24(x65664,x65665,x65663,f230(f890(x65664,a881)))
% 119.46/119.25 [6567]E(x65671,x65672)+~E(f313(x65673,x65671),f313(x65673,x65672))+~P24(x65674,x65675,x65673,f230(f890(x65674,a881)))
% 119.46/119.25 [7504]E(x75041,x75042)+~P24(x75043,x75044,x75045,f230(f890(x75043,a881)))+~E(f313(f296(x75043,x75044,x75045),x75041),f313(f296(x75043,x75044,x75045),x75042))
% 119.46/119.25 [7761]P24(x77612,x77613,f475(x77614,x77613,x77612,x77611),x77611)+~E(f313(f296(x77613,x77612,x77615),x77614),x77611)+E(x77611,f178(f890(x77612,a881)))
% 119.46/119.25 [8293]~P1(f313(f313(x82933,x82932),x82935))+~P1(f313(f313(x82933,x82934),x82932))+P1(f313(f313(f315(x82931),x82932),f276(x82931,x82933,x82934,x82935)))
% 119.46/119.25 [8294]~P1(f313(f313(x82943,x82942),x82945))+~P1(f313(f313(x82943,x82944),x82942))+P1(f313(f313(f315(x82941),x82942),f285(x82941,x82943,x82944,x82945)))
% 119.46/119.25 [8843]~P24(x88431,x88433,x88435,f230(f890(x88431,a881)))+~P24(x88433,x88432,x88434,f230(f890(x88433,a881)))+P24(x88431,x88432,f313(f66(x88433,x88432,x88431,x88434),x88435),f230(f890(x88431,a881)))
% 119.46/119.25 [9404]P1(f313(f313(f315(f889(x94041,x94041)),f313(f313(f240(x94041,x94041),x94042),x94043)),f293(x94041,x94044)))+~P1(f313(f313(f315(f889(x94041,x94041)),f313(f313(f240(x94041,x94041),x94042),x94045)),f293(x94041,x94044)))+~P1(f313(f313(f315(f889(x94041,x94041)),f313(f313(f240(x94041,x94041),x94045),x94043)),f293(x94041,x94044)))
% 119.46/119.25 [9443]~P4(x94432)+~P1(f313(f125(x94431),x94435))+P1(f313(f125(x94431),f137(x94431,x94432,x94433,x94434,x94435)))
% 119.46/119.25 [5334]~E(x53342,f104(x53341))+E(f313(f313(f122(x53341),x53342),x53343),f313(f313(f139(x53341),x53344),x53345))+~E(x53343,f313(f313(f139(x53341),x53344),x53345))
% 119.46/119.25 [5335]~E(x53352,f104(x53351))+E(f313(f313(f122(x53351),x53352),x53353),f313(f313(f139(x53351),x53354),x53355))+~E(f313(f313(f139(x53351),x53354),x53355),x53353)
% 119.46/119.25 [6522]~E(f313(f179(f885(x65221)),x65225),f313(f179(f885(x65222)),x65224))+E(f313(f313(f142(f889(x65221,x65222),x65222),f244(x65221,x65222)),x65223),x65224)+~E(f313(f313(f169(x65221,x65222),x65225),x65224),x65223)
% 119.46/119.25 [6523]~E(f313(f179(f885(x65231)),x65234),f313(f179(f885(x65232)),x65235))+E(f313(f313(f142(f889(x65231,x65232),x65231),f239(x65231,x65232)),x65233),x65234)+~E(f313(f313(f169(x65231,x65232),x65234),x65235),x65233)
% 119.46/119.25 [7032]~P4(x70321)+~P13(x70321,f313(f313(f142(x70322,x70321),x70323),x70325))+P13(x70321,f313(f313(f142(x70322,x70321),x70323),f313(f124(x70322,x70324),x70325)))
% 119.46/119.25 [7176]~P4(x71761)+P13(x71761,f313(f313(f142(x71762,x71761),x71763),f158(x71762,x71764,x71765)))+~P13(x71761,f313(f313(f142(x71762,x71761),x71763),x71765))
% 119.46/119.25 [7199]~P57(x71993,x71992,x71995)+~P57(x71991,x71993,x71994)+P57(x71991,x71992,f313(f313(f275(x71991,x71993,x71992),x71994),x71995))
% 119.46/119.25 [7294]E(x72941,x72942)+~P24(x72943,x72944,x72945,f230(f890(x72943,a881)))+~E(f313(f313(f142(x72943,x72944),x72945),x72941),f313(f313(f142(x72943,x72944),x72945),x72942))
% 119.46/119.25 [7295]E(x72951,x72952)+~P24(x72953,x72954,x72955,f230(f890(x72953,a881)))+~E(f313(f313(f142(x72953,x72954),x72955),x72951),f313(f313(f142(x72953,x72954),x72955),x72952))
% 119.46/119.25 [7459]~P1(f313(f313(f222(a883),x74591),f313(x74593,x74595)))+P1(f313(f313(f222(a883),x74591),f143(x74592,x74593,x74594)))+~P1(f313(f313(f315(x74592),x74595),f313(f160(x74592),x74594)))
% 119.46/119.25 [7460]~P1(f313(f313(f223(a883),x74601),f313(x74603,x74605)))+P1(f313(f313(f223(a883),x74601),f143(x74602,x74603,x74604)))+~P1(f313(f313(f315(x74602),x74605),f313(f160(x74602),x74604)))
% 119.46/119.25 [7821]~E(x78213,f2(a883))+P1(f313(x78211,x78212))+~P1(f313(f313(f315(x78214),x78212),f313(f160(x78214),f157(x78214,x78213,x78215))))
% 119.46/119.25 [7836]~E(x78361,f2(a883))+~P1(f313(x78362,x78363))+~P1(f313(f313(f315(x78364),x78363),f313(f160(x78364),f157(x78364,x78361,x78365))))
% 119.46/119.25 [7857]P1(f313(x78571,x78572))+~P1(f313(x78571,x78573))+~P1(f313(f313(f315(x78574),x78572),f313(f160(x78574),f157(x78574,x78575,x78573))))
% 119.46/119.25 [7858]P1(f313(x78581,x78582))+~P1(f313(x78581,x78583))+~P1(f313(f313(f315(x78584),x78583),f313(f160(x78584),f157(x78584,x78585,x78582))))
% 119.46/119.25 [7863]~P3(x78631)+P1(f313(f313(f222(f890(x78631,a881)),f289(x78631,x78632,x78633)),f289(x78631,x78634,x78635)))+P1(f313(f313(f222(x78631),x78632),x78633))
% 119.46/119.25 [7884]~P5(x78841)+P1(f313(f313(f222(x78841),f313(f313(f32(x78842,x78841),x78843),x78844)),f313(x78844,x78845)))+~P1(f313(f313(f315(x78842),x78845),x78843))
% 119.46/119.25 [7953]~P24(x79531,x79532,x79534,x79533)+E(f313(f70(x79531,x79532,x79533,x79534),f313(x79534,x79535)),x79535)+~P1(f313(f313(f315(x79531),x79535),x79533))
% 119.46/119.25 [8151]~P1(f313(x81511,x81515))+P1(f313(x81511,f343(x81511,x81512,x81513,x81514)))+~P1(f313(f313(f315(x81514),x81515),x81513))
% 119.46/119.25 [8152]~P1(f313(x81521,x81525))+P1(f313(x81521,f343(x81521,x81522,x81523,x81524)))+~P1(f313(f313(f315(x81524),x81525),x81522))
% 119.46/119.25 [8247]P1(f313(f54(x82471),x82472))+~P1(f313(f54(x82473),x82474))+~P1(f313(f313(f222(f890(x82471,a881)),x82472),f313(f296(x82473,x82471,x82475),x82474)))
% 119.46/119.25 [8256]~P24(x82564,x82561,x82562,f230(f890(x82564,a881)))+~P1(f313(f313(f315(x82564),x82563),x82565))+P1(f313(f313(f315(x82561),f313(x82562,x82563)),f313(f296(x82564,x82561,x82562),x82565)))
% 119.46/119.25 [8410]E(x84101,x84102)+~P24(x84103,x84104,x84105,f313(f313(f92(f890(x84103,a881)),f313(f160(x84103),x84101)),f313(f160(x84103),x84102)))+~E(f313(f313(f142(x84103,x84104),x84105),x84101),f313(f313(f142(x84103,x84104),x84105),x84102))
% 119.46/119.25 [8411]E(x84111,x84112)+~P24(x84113,x84114,x84115,f313(f313(f92(f890(x84113,a881)),f313(f160(x84113),x84111)),f313(f160(x84113),x84112)))+~E(f313(f313(f142(x84113,x84114),x84115),x84111),f313(f313(f142(x84113,x84114),x84115),x84112))
% 119.46/119.25 [8464]~P3(x84641)+~P1(f313(f313(f223(f890(x84641,a881)),f289(x84641,x84644,x84645)),f289(x84641,x84642,x84643)))+P1(f313(f313(f222(x84641),x84642),x84643))
% 119.46/119.25 [8528]~P24(x85281,x85284,x85285,f230(f890(x85281,a881)))+~P1(f313(f313(f315(x85284),f313(x85285,x85282)),f313(f296(x85281,x85284,x85285),x85283)))+P1(f313(f313(f315(x85281),x85282),x85283))
% 119.46/119.25 [8605]P1(f313(x86051,x86052))+~P1(f313(x86051,f350(x86051,x86053,x86054,x86055)))+~P1(f313(f313(f315(x86055),x86052),x86054))
% 119.46/119.25 [8606]P1(f313(x86061,x86062))+~P1(f313(x86061,f350(x86061,x86063,x86064,x86065)))+~P1(f313(f313(f315(x86065),x86062),x86063))
% 119.46/119.25 [8881]~P24(x88812,x88813,x88811,x88814)+E(f313(x88811,f313(f70(x88812,x88813,x88814,x88811),x88815)),x88815)+~P1(f313(f313(f315(x88813),x88815),f313(f296(x88812,x88813,x88811),x88814)))
% 119.46/119.25 [8984]E(x89841,f104(x89842))+E(f313(f313(f139(x89842),x89843),f687(x89844,x89843,x89845,x89841,x89842)),x89841)+~E(f313(f313(f122(x89842),x89841),x89845),f313(f313(f139(x89842),x89843),x89844))
% 119.46/119.25 [8985]E(x89851,f104(x89852))+E(f313(f313(f139(x89852),x89853),f688(x89854,x89851,x89855,x89853,x89852)),x89851)+~E(f313(f313(f122(x89852),x89851),x89854),f313(f313(f139(x89852),x89853),x89855))
% 119.46/119.25 [9002]E(f313(f313(f139(x90022),x90023),f687(x90024,x90023,x90021,x90025,x90022)),x90025)+~E(f313(f313(f122(x90022),x90025),x90021),f313(f313(f139(x90022),x90023),x90024))+E(x90021,f313(f313(f139(x90022),x90023),x90024))
% 119.46/119.25 [9003]E(f313(f313(f139(x90031),x90032),f688(x90034,x90035,x90033,x90032,x90031)),x90035)+~E(f313(f313(f122(x90031),x90035),x90034),f313(f313(f139(x90031),x90032),x90033))+E(f313(f313(f139(x90031),x90032),x90033),x90034)
% 119.46/119.25 [9081]~E(f313(f296(x90813,x90812,x90814),f230(f890(x90813,a881))),f230(f890(x90812,a881)))+~E(f313(f296(x90811,x90813,x90815),f230(f890(x90811,a881))),f230(f890(x90813,a881)))+E(f313(f296(x90811,x90812,f313(f66(x90813,x90812,x90811,x90814),x90815)),f230(f890(x90811,a881))),f230(f890(x90812,a881)))
% 119.46/119.25 [9449]E(x94491,f104(x94492))+~E(f313(f313(f122(x94492),x94491),x94493),f313(f313(f139(x94492),x94495),x94494))+E(f313(f313(f122(x94492),f688(x94493,x94491,x94494,x94495,x94492)),x94493),x94494)
% 119.46/119.25 [9450]E(x94501,f104(x94502))+~E(f313(f313(f122(x94502),x94501),x94505),f313(f313(f139(x94502),x94504),x94503))+E(f313(f313(f122(x94502),f687(x94503,x94504,x94505,x94501,x94502)),x94505),x94503)
% 119.46/119.25 [9456]E(f313(f313(f122(x94562),f687(x94564,x94563,x94561,x94565,x94562)),x94561),x94564)+~E(f313(f313(f122(x94562),x94565),x94561),f313(f313(f139(x94562),x94563),x94564))+E(x94561,f313(f313(f139(x94562),x94563),x94564))
% 119.46/119.25 [9457]~E(f313(f313(f122(x94571),x94575),x94574),f313(f313(f139(x94571),x94572),x94573))+E(f313(f313(f122(x94571),f688(x94574,x94575,x94573,x94572,x94571)),x94574),x94573)+E(f313(f313(f139(x94571),x94572),x94573),x94574)
% 119.46/119.25 [9458]E(f313(f313(f122(x94581),x94585),f692(x94583,x94582,x94584,x94585,x94581)),x94582)+E(f313(f313(f122(x94581),x94582),f691(x94583,x94582,x94584,x94585,x94581)),x94585)+~E(f313(f313(f122(x94581),x94585),x94584),f313(f313(f122(x94581),x94582),x94583))
% 119.46/119.25 [9496]~P4(x94961)+P13(x94961,f313(f313(f142(x94962,x94961),x94963),f137(x94962,x94961,x94963,x94964,x94965)))+~P13(x94961,f313(f313(f142(x94962,x94961),x94963),x94965))
% 119.46/119.25 [9514]~P61(x95145,x95141,x95144,x95143)+P1(f313(f313(x95141,x95142),f499(x95143,x95144,x95141,x95145,x95142)))+~P1(f313(f313(f315(x95145),x95142),x95144))
% 119.46/119.25 [9515]~P61(x95155,x95151,x95154,x95153)+P1(f313(f313(x95151,x95152),f811(x95153,x95154,x95151,x95155,x95152)))+~P1(f313(f313(f315(x95155),x95152),x95154))
% 119.46/119.25 [9614]~P1(f313(f313(f315(f889(x96141,x96141)),f313(f313(f240(x96141,x96141),x96145),x96143)),f293(x96141,x96144)))+P1(f313(f313(f315(f889(x96141,x96141)),f313(f313(f240(x96141,x96141),x96142),x96143)),f313(f313(f275(x96141,x96141,x96141),x96144),f293(x96141,x96144))))+~P1(f313(f313(f315(f889(x96141,x96141)),f313(f313(f240(x96141,x96141),x96142),x96145)),f313(f313(f275(x96141,x96141,x96141),x96144),f293(x96141,x96144))))
% 119.46/119.25 [9615]~P1(f313(f313(f315(f889(x96151,x96151)),f313(f313(f240(x96151,x96151),x96152),x96155)),f293(x96151,x96154)))+P1(f313(f313(f315(f889(x96151,x96151)),f313(f313(f240(x96151,x96151),x96152),x96153)),f313(f313(f275(x96151,x96151,x96151),x96154),f293(x96151,x96154))))+~P1(f313(f313(f315(f889(x96151,x96151)),f313(f313(f240(x96151,x96151),x96155),x96153)),f313(f313(f275(x96151,x96151,x96151),x96154),f293(x96151,x96154))))
% 119.46/119.25 [9617]P1(f313(f313(f315(f889(f885(x96171),f885(x96171))),f313(f313(f240(f885(x96171),f885(x96171)),x96172),x96173)),f146(x96171,f293(x96171,x96174))))+~P1(f313(f313(f315(f889(f885(x96171),f885(x96171))),f313(f313(f240(f885(x96171),f885(x96171)),x96172),x96175)),f146(x96171,f293(x96171,x96174))))+~P1(f313(f313(f315(f889(f885(x96171),f885(x96171))),f313(f313(f240(f885(x96171),f885(x96171)),x96175),x96173)),f146(x96171,f293(x96171,x96174))))
% 119.46/119.25 [9621]E(f313(f313(f122(x96211),x96212),f691(x96213,x96212,x96214,x96215,x96211)),x96215)+E(f313(f313(f122(x96211),f692(x96213,x96212,x96214,x96215,x96211)),x96213),x96214)+~E(f313(f313(f122(x96211),x96212),x96213),f313(f313(f122(x96211),x96215),x96214))
% 119.46/119.25 [9622]E(f313(f313(f122(x96221),x96222),f692(x96223,x96224,x96225,x96222,x96221)),x96224)+E(f313(f313(f122(x96221),f691(x96223,x96224,x96225,x96222,x96221)),x96225),x96223)+~E(f313(f313(f122(x96221),x96222),x96225),f313(f313(f122(x96221),x96224),x96223))
% 119.46/119.25 [9677]P1(f313(f313(f315(f889(x96771,x96771)),f313(f313(f240(x96771,x96771),x96772),x96773)),f313(f313(f275(x96771,x96771,x96771),x96774),f293(x96771,x96774))))+~P1(f313(f313(f315(f889(x96771,x96771)),f313(f313(f240(x96771,x96771),x96772),x96775)),f313(f313(f275(x96771,x96771,x96771),x96774),f293(x96771,x96774))))+~P1(f313(f313(f315(f889(x96771,x96771)),f313(f313(f240(x96771,x96771),x96775),x96773)),f313(f313(f275(x96771,x96771,x96771),x96774),f293(x96771,x96774))))
% 119.46/119.25 [9706]P33(x97061,x97062,x97063,x97064,x97065)+~E(f313(f179(f885(x97061)),x97064),f313(f179(f885(x97062)),x97065))+~P1(f313(f313(f245(x97061,x97062,a881),x97063),f713(x97065,x97064,x97063,x97062,x97061)))
% 119.46/119.25 [9707]P33(x97071,x97072,x97073,x97074,x97075)+~E(f313(f179(f885(x97071)),x97074),f313(f179(f885(x97072)),x97075))+~P1(f313(f313(f245(x97071,x97072,a881),x97073),f714(x97073,x97075,x97074,x97072,x97071)))
% 119.46/119.25 [9712]E(f313(f313(f122(x97121),f691(x97122,x97123,x97124,x97125,x97121)),x97124),x97122)+~E(f313(f313(f122(x97121),x97123),x97122),f313(f313(f122(x97121),x97125),x97124))+E(f313(f313(f122(x97121),f692(x97122,x97123,x97124,x97125,x97121)),x97122),x97124)
% 119.46/119.25 [9727]~P4(x97272)+E(f313(f313(f136(x97271,x97272,x97273),x97274),x97275),f313(f313(f139(x97271),x97274),x97275))+P1(f313(f313(f315(x97271),f763(x97274,x97273,x97275,x97271,x97272)),f313(f160(x97271),x97275)))
% 119.46/119.25 [9731]~P61(x97311,x97314,x97313,x97312)+~P1(f313(f313(f315(x97311),x97315),x97313))+P1(f313(f313(f315(x97311),f499(x97312,x97313,x97314,x97311,x97315)),x97312))
% 119.46/119.25 [9732]~P61(x97321,x97324,x97323,x97322)+~P1(f313(f313(f315(x97321),x97325),x97323))+P1(f313(f313(f315(x97321),f811(x97322,x97323,x97324,x97321,x97325)),x97322))
% 119.46/119.25 [9857]~P1(f313(f313(f315(f889(f890(x98571,a881),f890(x98571,a881))),f313(f313(f240(f890(x98571,a881),f890(x98571,a881)),x98574),x98573)),f304(x98571,x98572)))+~P1(f313(f313(f315(x98571),x98575),x98574))+P1(f313(f313(f315(x98571),f594(x98572,x98573,x98574,x98571,x98575)),x98573))
% 119.46/119.25 [9867]~P4(x98672)+E(f313(f313(f136(x98671,x98672,x98673),x98674),x98675),f313(f313(f139(x98671),x98674),x98675))+~P1(f313(f313(f222(x98672),f313(x98673,x98674)),f313(x98673,f763(x98674,x98673,x98675,x98671,x98672))))
% 119.46/119.25 [10059]P33(x100591,x100592,x100593,x100594,x100595)+~E(f313(f179(f885(x100591)),x100594),f313(f179(f885(x100592)),x100595))+~P1(f313(f313(x100593,f313(f313(f152(x100591),x100594),f715(x100595,x100594,x100593,x100592,x100591))),f313(f313(f152(x100592),x100595),f715(x100595,x100594,x100593,x100592,x100591))))
% 119.46/119.25 [10060]P33(x100601,x100602,x100603,x100604,x100605)+~E(f313(f179(f885(x100601)),x100604),f313(f179(f885(x100602)),x100605))+~P1(f313(f313(x100603,f313(f313(f152(x100601),x100604),f751(x100603,x100605,x100602,x100604,x100601))),f313(f313(f152(x100602),x100605),f751(x100603,x100605,x100602,x100604,x100601))))
% 119.46/119.25 [6598]~P17(x65982,x65985,x65981)+~P1(f313(f54(x65982),x65984))+E(f313(x65981,f313(f313(f295(x65982),x65983),x65984)),f313(f313(f57(x65982,x65982,x65985),x65983),x65984))
% 119.46/119.25 [6599]~E(x65993,x65994)+~E(x65992,x65995)+E(f313(f313(f295(x65991),x65992),f313(f313(f295(x65991),x65993),f178(f890(x65991,a881)))),f313(f313(f295(x65991),x65994),f313(f313(f295(x65991),x65995),f178(f890(x65991,a881)))))
% 119.46/119.25 [6610]P1(f313(x66102,x66105))+E(f165(x66101,x66102,f313(f313(f122(x66101),x66103),x66104)),f165(x66101,x66102,x66103))+~P1(f313(f313(f315(x66101),x66105),f313(f160(x66101),x66103)))
% 119.46/119.25 [6652]E(f313(x66521,x66522),f178(f890(x66523,a881)))+~E(f313(f313(f33(x66524,f890(x66523,a881)),x66525),x66521),f178(f890(x66523,a881)))+~P1(f313(f313(f315(x66524),x66522),x66525))
% 119.46/119.25 [6653]E(f313(x66531,x66532),f230(f890(x66533,a881)))+~E(f313(f313(f32(x66534,f890(x66533,a881)),x66535),x66531),f230(f890(x66533,a881)))+~P1(f313(f313(f315(x66534),x66532),x66535))
% 119.46/119.25 [6654]E(f313(x66541,x66542),f178(f890(x66543,a881)))+~E(f313(f313(f33(x66544,f890(x66543,a881)),x66545),x66541),f178(f890(x66543,a881)))+~P1(f313(f313(f315(x66544),x66542),x66545))
% 119.46/119.25 [6655]E(f313(x66551,x66552),f230(f890(x66553,a881)))+~E(f313(f313(f32(x66554,f890(x66553,a881)),x66555),x66551),f230(f890(x66553,a881)))+~P1(f313(f313(f315(x66554),x66552),x66555))
% 119.46/119.25 [6861]~E(x68614,f313(f313(f122(x68611),x68615),f313(f313(f139(x68611),x68612),x68613)))+P1(f313(f313(f315(x68611),x68612),f313(f160(x68611),x68613)))+P1(f313(f313(f315(x68611),x68612),f313(f160(x68611),x68614)))
% 119.46/119.25 [6862]~E(x68624,f313(f313(f122(x68621),x68623),f313(f313(f139(x68621),x68622),x68625)))+P1(f313(f313(f315(x68621),x68622),f313(f160(x68621),x68623)))+P1(f313(f313(f315(x68621),x68622),f313(f160(x68621),x68624)))
% 119.46/119.25 [7185]~E(x71852,x71854)+~P149(x71851)+E(f313(f313(f73(x71851),f313(f313(f74(x71851),x71852),x71853)),f313(f313(f74(x71851),x71854),x71855)),f313(f313(f73(x71851),f313(f313(f74(x71851),x71852),x71855)),f313(f313(f74(x71851),x71854),x71853)))
% 119.46/119.25 [7186]~E(x71862,x71864)+~P149(x71861)+E(f313(f313(f73(x71861),f313(f313(f74(x71861),x71862),x71863)),f313(f313(f74(x71861),x71864),x71865)),f313(f313(f73(x71861),f313(f313(f74(x71861),x71862),x71865)),f313(f313(f74(x71861),x71864),x71863)))
% 119.46/119.25 [7249]~P5(x72491)+~P1(f313(f313(f315(x72494),x72493),x72495))+P1(f313(f313(f222(x72491),f313(x72492,x72493)),f313(f313(f33(x72494,x72491),x72495),x72492)))
% 119.46/119.25 [7298]~P112(x72981)+P1(f313(f313(f222(x72981),f313(x72982,x72983)),f313(x72984,x72983)))+~P1(f313(f313(f222(f890(x72985,x72981)),x72982),x72984))
% 119.46/119.25 [7299]~P112(x72991)+P1(f313(f313(f222(x72991),f313(x72992,x72993)),f313(x72994,x72993)))+~P1(f313(f313(f222(f890(x72995,x72991)),x72992),x72994))
% 119.46/119.25 [7300]~P112(x73001)+P1(f313(f313(f222(x73001),f313(x73002,x73003)),f313(x73004,x73003)))+~P1(f313(f313(f222(f890(x73005,x73001)),x73002),x73004))
% 119.46/119.25 [7427]E(x74271,x74272)+E(x74273,x74271)+~E(f313(f313(f295(x74274),x74271),f313(f313(f295(x74274),x74275),f178(f890(x74274,a881)))),f313(f313(f295(x74274),x74272),f313(f313(f295(x74274),x74273),f178(f890(x74274,a881)))))
% 119.46/119.25 [7428]E(x74281,x74282)+E(x74283,x74281)+~E(f313(f313(f295(x74284),x74283),f313(f313(f295(x74284),x74282),f178(f890(x74284,a881)))),f313(f313(f295(x74284),x74285),f313(f313(f295(x74284),x74281),f178(f890(x74284,a881)))))
% 119.46/119.25 [7429]E(x74291,x74292)+E(x74291,x74293)+~E(f313(f313(f295(x74294),x74293),f313(f313(f295(x74294),x74292),f178(f890(x74294,a881)))),f313(f313(f295(x74294),x74295),f313(f313(f295(x74294),x74291),f178(f890(x74294,a881)))))
% 119.46/119.25 [7430]E(x74301,x74302)+E(x74301,x74303)+~E(f313(f313(f295(x74304),x74301),f313(f313(f295(x74304),x74305),f178(f890(x74304,a881)))),f313(f313(f295(x74304),x74302),f313(f313(f295(x74304),x74303),f178(f890(x74304,a881)))))
% 119.46/119.25 [7963]P24(x79631,x79632,x79633,x79634)+~P24(x79631,x79632,x79633,x79635)+~P1(f313(f313(f222(f890(x79631,a881)),x79634),x79635))
% 119.46/119.25 [8139]E(x81391,x81392)+~E(f313(f296(x81393,x81394,x81395),x81391),f313(f296(x81393,x81394,x81395),x81392))+~P24(x81393,x81394,x81395,f313(f313(f92(f890(x81393,a881)),x81391),x81392))
% 119.46/119.25 [8216]P1(f313(x82162,x82164))+E(f313(f313(f126(x82161),f313(f179(f885(x82161)),f165(x82161,x82162,x82163))),x82163),f313(f313(f139(x82161),x82164),x82165))+~E(f313(f313(f122(x82161),f165(x82161,x82162,x82163)),f313(f313(f139(x82161),x82164),x82165)),x82163)
% 119.46/119.25 [8245]~P24(x82451,x82452,x82453,x82455)+~P24(x82451,x82452,x82453,x82454)+P24(x82451,x82452,x82453,f313(f313(f93(f890(x82451,a881)),x82454),x82455))
% 119.46/119.25 [8351]~P79(x83511)+E(f313(f313(f73(x83511),f313(x83512,x83513)),f313(f153(x83511),f313(f313(f142(x83514,x83511),x83512),f158(x83514,x83513,x83515)))),f313(f153(x83511),f313(f313(f142(x83514,x83511),x83512),x83515)))+~P1(f313(f313(f315(x83514),x83513),f313(f160(x83514),x83515)))
% 119.46/119.25 [8437]~P4(x84371)+~P13(x84371,f313(f313(f142(x84372,x84371),x84373),x84375))+P13(x84371,f313(f313(f142(x84372,x84371),x84373),f313(f313(f136(x84372,x84371,x84373),x84374),x84375)))
% 119.46/119.25 [8524]~P5(x85241)+P1(f313(f313(f222(x85241),f313(f313(f32(x85242,x85241),x85243),x85244)),f313(f313(f32(x85242,x85241),x85245),x85244)))+~P1(f313(f313(f222(f890(x85242,a881)),x85245),x85243))
% 119.46/119.25 [8525]~P5(x85251)+P1(f313(f313(f222(x85251),f313(f313(f33(x85252,x85251),x85253),x85254)),f313(f313(f33(x85252,x85251),x85255),x85254)))+~P1(f313(f313(f222(f890(x85252,a881)),x85253),x85255))
% 119.46/119.25 [8560]~P4(x85603)+P1(f313(f125(x85601),x85602))+~P1(f313(f125(x85601),f313(f313(f136(x85601,x85603,x85604),x85605),x85602)))
% 119.46/119.25 [8697]~P4(x86971)+~P1(f313(f313(f315(x86972),x86973),f313(f160(x86972),x86974)))+~P1(f313(f125(x86972),f313(f313(f136(x86972,x86971,x86975),x86973),x86974)))
% 119.46/119.25 [8776]~P4(x87761)+P13(x87761,f313(f313(f142(x87762,x87761),x87763),x87764))+~P13(x87761,f313(f313(f142(x87762,x87761),x87763),f313(f313(f136(x87762,x87761,x87763),x87765),x87764)))
% 119.46/119.25 [8869]~P4(x88692)+E(f313(f313(f136(x88691,x88692,x88693),x88694),x88695),f137(x88691,x88692,x88693,x88694,x88695))+P1(f313(f313(f315(x88692),f313(x88693,x88694)),f313(f296(x88691,x88692,x88693),f313(f160(x88691),x88695))))
% 119.46/119.25 [8951]~P4(x89512)+E(f137(x89511,x89512,x89513,x89514,x89515),x89515)+~P1(f313(f313(f315(x89512),f313(x89513,x89514)),f313(f296(x89511,x89512,x89513),f313(f160(x89511),x89515))))
% 119.46/119.25 [8965]~P24(x89652,x89651,x89653,x89655)+P1(f313(f313(f223(f890(x89651,a881)),f313(f296(x89652,x89651,x89653),x89654)),f313(f296(x89652,x89651,x89653),x89655)))+~P1(f313(f313(f223(f890(x89652,a881)),x89654),x89655))
% 119.46/119.25 [8994]~P24(x89942,x89941,x89943,f230(f890(x89942,a881)))+P1(f313(f313(f222(f890(x89941,a881)),f313(f296(x89942,x89941,x89943),x89944)),f313(f296(x89942,x89941,x89943),x89945)))+~P1(f313(f313(f222(f890(x89942,a881)),x89944),x89945))
% 119.46/119.25 [9121]~P24(x91211,x91212,x91213,f230(f890(x91211,a881)))+~P1(f313(f313(f222(f890(x91212,a881)),x91214),f313(f296(x91211,x91212,x91213),x91215)))+P1(f313(f313(f222(f890(x91211,a881)),f313(f297(x91211,x91212,x91213),x91214)),x91215))
% 119.46/119.25 [9144]~E(f313(f296(x91443,x91441,x91444),f230(f890(x91443,a881))),f230(f890(x91441,a881)))+P1(f313(f313(f222(f890(x91441,a881)),x91442),f313(f296(x91443,x91441,x91444),x91445)))+~P1(f313(f313(f222(f890(x91443,a881)),f313(f297(x91443,x91441,x91444),x91442)),x91445))
% 119.46/119.25 [9251]~P24(x92511,x92514,x92515,f230(f890(x92511,a881)))+~P1(f313(f313(f222(f890(x92514,a881)),f313(f296(x92511,x92514,x92515),x92512)),f313(f296(x92511,x92514,x92515),x92513)))+P1(f313(f313(f222(f890(x92511,a881)),x92512),x92513))
% 119.46/119.25 [9373]~P83(x93731)+~E(f313(x93733,f734(x93733,x93734,x93735,x93732,x93731)),f2(x93731))+E(f313(f153(x93731),f313(f313(f142(x93732,x93731),x93733),f313(f124(x93732,x93734),x93735))),f313(f153(x93731),f313(f313(f142(x93732,x93731),x93733),x93735)))
% 119.46/119.25 [9558]~P16(x95581,x95582,x95583)+~P1(f313(f54(x95581),x95585))+P1(f313(f59(x95581,x95582,x95583,x95584,x95585),f313(f313(f57(x95581,x95582,x95583),x95584),x95585)))
% 119.46/119.25 [9634]P1(f313(x96341,f655(x96342,x96341,x96343,x96344,x96345)))+~P1(f313(f313(f222(f890(x96345,a881)),x96344),x96343))+P1(f313(f313(f222(f890(x96345,a881)),f313(f313(f93(f890(x96345,a881)),x96344),f313(f250(x96345),x96341))),f313(f313(f93(f890(x96345,a881)),x96343),f313(f250(x96345),x96342))))
% 119.46/119.25 [9649]~P83(x96491)+~P1(f313(x96494,f734(x96493,x96494,x96495,x96492,x96491)))+E(f313(f153(x96491),f313(f313(f142(x96492,x96491),x96493),f313(f124(x96492,x96494),x96495))),f313(f153(x96491),f313(f313(f142(x96492,x96491),x96493),x96495)))
% 119.46/119.25 [9729]~P5(x97295)+P1(f313(f313(f315(x97291),f837(x97292,x97293,x97291,x97294,x97295)),x97293))+P1(f313(f313(f222(x97295),x97294),f313(f313(f32(x97291,x97295),x97293),x97292)))
% 119.46/119.25 [9733]~P83(x97331)+E(f313(f153(x97331),f313(f313(f142(x97332,x97331),x97333),f313(f124(x97332,x97334),x97335))),f313(f153(x97331),f313(f313(f142(x97332,x97331),x97333),x97335)))+P1(f313(f313(f315(x97332),f734(x97333,x97334,x97335,x97332,x97331)),f313(f160(x97332),x97335)))
% 119.46/119.25 [9743]~P1(f313(x97435,f655(x97435,x97433,x97434,x97432,x97431)))+~P1(f313(f313(f222(f890(x97431,a881)),x97432),x97434))+P1(f313(f313(f222(f890(x97431,a881)),f313(f313(f93(f890(x97431,a881)),x97432),f313(f250(x97431),x97433))),f313(f313(f93(f890(x97431,a881)),x97434),f313(f250(x97431),x97435))))
% 119.46/119.25 [9779]P33(x97791,x97792,x97793,x97794,x97795)+~E(f313(f179(f885(x97792)),x97795),f313(f179(f885(x97791)),x97794))+P1(f313(f313(f223(a883),f715(x97795,x97794,x97793,x97792,x97791)),f313(f179(f885(x97791)),x97794)))
% 119.46/119.25 [9780]P33(x97801,x97802,x97803,x97804,x97805)+~E(f313(f179(f885(x97802)),x97805),f313(f179(f885(x97801)),x97804))+P1(f313(f313(f223(a883),f751(x97803,x97805,x97802,x97804,x97801)),f313(f179(f885(x97801)),x97804)))
% 119.46/119.25 [9821]P1(f313(f313(f315(x98211),f655(x98212,x98213,x98214,x98215,x98211)),x98215))+~P1(f313(f313(f222(f890(x98211,a881)),x98215),x98214))+P1(f313(f313(f222(f890(x98211,a881)),f313(f313(f93(f890(x98211,a881)),x98215),f313(f250(x98211),x98213))),f313(f313(f93(f890(x98211,a881)),x98214),f313(f250(x98211),x98212))))
% 119.46/119.25 [9868]~P5(x98681)+~P1(f313(f313(f222(x98681),x98682),f313(x98685,f837(x98685,x98684,x98683,x98682,x98681))))+P1(f313(f313(f222(x98681),x98682),f313(f313(f32(x98683,x98681),x98684),x98685)))
% 119.46/119.25 [9902]~P75(x99021)+~P1(f313(f54(x99022),x99025))+E(f313(f313(f313(f58(x99021,x99022,f74(x99021)),f313(f313(f20(x99022,x99021,x99021),f313(f313(f10(x99021,f890(x99021,x99021),x99022),f74(x99021)),x99023)),x99024)),f71(x99021)),x99025),f313(f313(f74(x99021),f313(f313(f313(f58(x99021,x99022,f74(x99021)),x99023),f71(x99021)),x99025)),f313(f313(f313(f58(x99021,x99022,f74(x99021)),x99024),f71(x99021)),x99025)))
% 119.46/119.25 [9955]~P1(f313(f313(f315(f889(f890(x99551,a881),f890(x99551,a881))),f313(f313(f240(f890(x99551,a881),f890(x99551,a881)),x99555),x99554)),f304(x99551,x99553)))+~P1(f313(f313(f315(x99551),x99552),x99555))+P1(f313(f313(f315(f889(x99551,x99551)),f313(f313(f240(x99551,x99551),x99552),f594(x99553,x99554,x99555,x99551,x99552))),x99553))
% 119.46/119.25 [10098]~P1(f313(f313(f315(f889(f885(x100981),f885(x100981))),f313(f313(f240(f885(x100981),f885(x100981)),f313(f313(f122(x100981),x100985),x100982)),f313(f313(f122(x100981),x100985),x100983))),f135(x100981,x100984)))+P1(f313(f313(f315(f889(f885(x100981),f885(x100981))),f313(f313(f240(f885(x100981),f885(x100981)),x100982),x100983)),f135(x100981,x100984)))+P1(f313(f313(f315(f889(x100981,x100981)),f313(f313(f240(x100981,x100981),f697(x100984,x100983,x100982,x100985,x100981)),f697(x100984,x100983,x100982,x100985,x100981))),x100984))
% 119.46/119.25 [7303]~E(x73033,x73035)+E(f313(f313(f152(x73031),f313(f313(f147(x73031,x73032),x73033),x73034)),x73035),x73034)+~P1(f313(f313(f223(a883),x73033),f313(f179(f885(x73031)),x73032)))
% 119.46/119.25 [7423]~E(f313(f313(f122(x74231),x74232),x74234),f313(f313(f122(x74231),x74233),x74235))+E(f313(f313(f163(x74231),f313(f179(f885(x74231)),x74232)),x74233),x74232)+P1(f313(f313(f222(a883),f313(f179(f885(x74231)),x74233)),f313(f179(f885(x74231)),x74232)))
% 119.46/119.25 [7424]E(x74241,x74242)+E(f313(f313(f152(x74243),f313(f313(f147(x74243,x74244),x74241),x74245)),x74242),f313(f313(f152(x74243),x74244),x74242))+~P1(f313(f313(f223(a883),x74241),f313(f179(f885(x74243)),x74244)))
% 119.46/119.25 [7925]~E(f313(f313(f122(x79251),x79252),x79254),f313(f313(f122(x79251),x79253),x79255))+E(f313(f313(f163(x79251),f313(f179(f885(x79251)),x79252)),x79253),x79252)+~P1(f313(f313(f222(a883),f313(f179(f885(x79251)),x79252)),f313(f179(f885(x79251)),x79253)))
% 119.46/119.25 [7949]~P1(f313(f54(x79491),f313(x79494,x79495)))+~P1(f313(f313(f315(x79492),x79495),x79493))+P1(f313(f54(x79491),f313(f313(f32(x79492,f890(x79491,a881)),x79493),x79494)))
% 119.46/119.25 [8124]~P55(x81241,x81243,x81245)+~P55(x81241,x81242,x81244)+P55(x81241,f313(f313(f92(f890(x81241,a881)),x81242),x81243),f313(f313(f92(f890(f889(x81241,x81241),a881)),x81244),x81245))
% 119.46/119.25 [8125]~P55(x81251,x81253,x81255)+~P55(x81251,x81252,x81254)+P55(x81251,f313(f313(f93(f890(x81251,a881)),x81252),x81253),f313(f313(f93(f890(f889(x81251,x81251),a881)),x81254),x81255))
% 119.46/119.25 [8477]E(f313(f313(f240(x84771,x84772),f313(f313(f152(x84771),x84773),x84774)),f313(f313(f152(x84772),x84775),x84774)),f313(f313(f152(f889(x84771,x84772)),f313(f313(f169(x84771,x84772),x84773),x84775)),x84774))+~P1(f313(f313(f223(a883),x84774),f313(f179(f885(x84771)),x84773)))+~P1(f313(f313(f223(a883),x84774),f313(f179(f885(x84772)),x84775)))
% 119.46/119.25 [8633]~P55(x86331,x86333,x86334)+P1(f313(f313(f315(x86331),x86332),x86333))+~P1(f313(f313(f315(f889(x86331,x86331)),f313(f313(f240(x86331,x86331),x86335),x86332)),x86334))
% 119.46/119.25 [8634]~P55(x86341,x86343,x86344)+P1(f313(f313(f315(x86341),x86342),x86343))+~P1(f313(f313(f315(f889(x86341,x86341)),f313(f313(f240(x86341,x86341),x86342),x86345)),x86344))
% 119.46/119.25 [8635]~P8(x86351,x86353,x86354)+P1(f313(f313(f315(x86351),x86352),x86353))+~P1(f313(f313(f315(f889(x86351,x86351)),f313(f313(f240(x86351,x86351),x86355),x86352)),x86354))
% 119.46/119.25 [8636]~P8(x86361,x86363,x86364)+P1(f313(f313(f315(x86361),x86362),x86363))+~P1(f313(f313(f315(f889(x86361,x86361)),f313(f313(f240(x86361,x86361),x86362),x86365)),x86364))
% 119.46/119.25 [8890]~P8(x88901,x88905,x88902)+E(f313(f271(x88901,x88901,x88902),f313(f313(f295(x88901),x88903),f178(f890(x88901,a881)))),f313(f271(x88901,x88901,x88902),f313(f313(f295(x88901),x88904),f178(f890(x88901,a881)))))+~P1(f313(f313(f315(f889(x88901,x88901)),f313(f313(f240(x88901,x88901),x88903),x88904)),x88902))
% 119.46/119.25 [8891]~P8(x88911,x88915,x88912)+E(f313(f271(x88911,x88911,x88912),f313(f313(f295(x88911),x88913),f178(f890(x88911,a881)))),f313(f271(x88911,x88911,x88912),f313(f313(f295(x88911),x88914),f178(f890(x88911,a881)))))+~P1(f313(f313(f315(f889(x88911,x88911)),f313(f313(f240(x88911,x88911),x88913),x88914)),x88912))
% 119.46/119.25 [9078]P1(f313(x90781,x90782))+~P1(f313(f313(f315(x90783),x90782),x90785))+P1(f313(f313(f315(x90783),f350(x90781,x90784,x90785,x90783)),f313(f313(f92(f890(x90783,a881)),x90785),x90784)))
% 119.46/119.25 [9079]P1(f313(x90791,x90792))+~P1(f313(f313(f315(x90793),x90792),x90794))+P1(f313(f313(f315(x90793),f350(x90791,x90794,x90795,x90793)),f313(f313(f92(f890(x90793,a881)),x90795),x90794)))
% 119.46/119.25 [9087]~P1(f313(x90872,x90875))+~P1(f313(f313(f315(x90871),x90875),x90874))+P1(f313(f313(f315(x90871),f343(x90872,x90873,x90874,x90871)),f313(f313(f92(f890(x90871,a881)),x90874),x90873)))
% 119.46/119.25 [9088]~P1(f313(x90882,x90885))+~P1(f313(f313(f315(x90881),x90885),x90883))+P1(f313(f313(f315(x90881),f343(x90882,x90883,x90884,x90881)),f313(f313(f92(f890(x90881,a881)),x90884),x90883)))
% 119.46/119.25 [9103]~P1(f313(f313(f222(f890(x91031,a881)),x91035),x91033))+~P1(f313(f313(f222(f890(x91031,a881)),x91032),x91034))+P1(f313(f313(f222(f890(x91031,a881)),f313(f313(f3(f890(x91031,a881)),x91032),x91033)),f313(f313(f3(f890(x91031,a881)),x91034),x91035)))
% 119.46/119.25 [9104]~P1(f313(f313(f222(f890(x91041,a881)),x91043),x91045))+~P1(f313(f313(f222(f890(x91041,a881)),x91042),x91044))+P1(f313(f313(f222(f890(x91041,a881)),f313(f313(f92(f890(x91041,a881)),x91042),x91043)),f313(f313(f92(f890(x91041,a881)),x91044),x91045)))
% 119.46/119.25 [9105]~P1(f313(f313(f222(f890(x91051,a881)),x91053),x91055))+~P1(f313(f313(f222(f890(x91051,a881)),x91052),x91054))+P1(f313(f313(f222(f890(x91051,a881)),f313(f313(f93(f890(x91051,a881)),x91052),x91053)),f313(f313(f93(f890(x91051,a881)),x91054),x91055)))
% 119.46/119.25 [9198]P1(f313(f313(f315(f889(x91981,x91981)),f313(f313(f240(x91981,x91981),x91982),x91983)),f307(x91981,x91984,x91985)))+~P1(f313(f313(f222(a883),f313(x91984,x91982)),f313(x91984,x91983)))+~P1(f313(f313(f315(f889(x91981,x91981)),f313(f313(f240(x91981,x91981),x91982),x91983)),x91985))
% 119.46/119.25 [9383]P1(f313(f313(f315(f889(x93831,x93831)),f313(f313(f240(x93831,x93831),x93832),x93833)),f293(x93831,x93834)))+~P1(f313(f313(f315(f889(x93831,x93831)),f313(f313(f240(x93831,x93831),x93832),x93835)),f293(x93831,x93834)))+~P1(f313(f313(f315(f889(x93831,x93831)),f313(f313(f240(x93831,x93831),x93835),x93833)),x93834))
% 119.46/119.25 [9384]P1(f313(f313(f315(f889(x93841,x93841)),f313(f313(f240(x93841,x93841),x93842),x93843)),f293(x93841,x93844)))+~P1(f313(f313(f315(f889(x93841,x93841)),f313(f313(f240(x93841,x93841),x93845),x93843)),f293(x93841,x93844)))+~P1(f313(f313(f315(f889(x93841,x93841)),f313(f313(f240(x93841,x93841),x93842),x93845)),x93844))
% 119.46/119.25 [9482]E(x94821,x94822)+E(f313(a103,f613(x94823,x94824,x94821,x94822,x94825)),x94824)+~P1(f313(f313(f315(f889(x94825,x94825)),f313(f313(f240(x94825,x94825),x94822),x94821)),f313(f313(f171(f889(x94825,x94825),a881),x94824),x94823)))
% 119.46/119.25 [9483]E(x94831,x94832)+E(f313(a103,f615(x94833,x94834,x94831,x94832,x94835)),x94834)+~P1(f313(f313(f315(f889(x94835,x94835)),f313(f313(f240(x94835,x94835),x94832),x94831)),f313(f313(f171(f889(x94835,x94835),a881),x94834),x94833)))
% 119.46/119.25 [9484]E(x94841,f2(a883))+E(f313(a103,f613(x94842,x94841,x94843,x94844,x94845)),x94841)+~P1(f313(f313(f315(f889(x94845,x94845)),f313(f313(f240(x94845,x94845),x94844),x94843)),f313(f313(f171(f889(x94845,x94845),a881),x94841),x94842)))
% 119.46/119.25 [9485]E(x94851,f2(a883))+E(f313(a103,f615(x94852,x94851,x94853,x94854,x94855)),x94851)+~P1(f313(f313(f315(f889(x94855,x94855)),f313(f313(f240(x94855,x94855),x94854),x94853)),f313(f313(f171(f889(x94855,x94855),a881),x94851),x94852)))
% 119.46/119.25 [9510]P1(f313(f313(f315(f889(x95101,x95101)),f313(f313(f240(x95101,x95101),x95102),x95103)),f313(f313(f275(x95101,x95101,x95101),x95104),f293(x95101,x95104))))+~P1(f313(f313(f315(f889(x95101,x95101)),f313(f313(f240(x95101,x95101),x95102),x95105)),x95104))+~P1(f313(f313(f315(f889(x95101,x95101)),f313(f313(f240(x95101,x95101),x95105),x95103)),x95104))
% 119.46/119.25 [9520]~P1(f313(f313(f315(f889(x95201,x95201)),f313(f313(f240(x95201,x95201),x95202),x95205)),f293(x95201,x95204)))+P1(f313(f313(f315(f889(x95201,x95201)),f313(f313(f240(x95201,x95201),x95202),x95203)),f313(f313(f275(x95201,x95201,x95201),x95204),f293(x95201,x95204))))+~P1(f313(f313(f315(f889(x95201,x95201)),f313(f313(f240(x95201,x95201),x95205),x95203)),x95204))
% 119.46/119.25 [9521]~P1(f313(f313(f315(f889(x95211,x95211)),f313(f313(f240(x95211,x95211),x95215),x95213)),f293(x95211,x95214)))+P1(f313(f313(f315(f889(x95211,x95211)),f313(f313(f240(x95211,x95211),x95212),x95213)),f313(f313(f275(x95211,x95211,x95211),x95214),f293(x95211,x95214))))+~P1(f313(f313(f315(f889(x95211,x95211)),f313(f313(f240(x95211,x95211),x95212),x95215)),x95214))
% 119.46/119.25 [9554]~P8(x95541,x95545,x95542)+~P1(f313(f313(f315(f889(x95541,x95541)),f313(f313(f240(x95541,x95541),x95543),x95544)),x95542))+P1(f313(f313(f222(f890(x95541,a881)),f313(f271(x95541,x95541,x95542),f313(f313(f295(x95541),x95543),f178(f890(x95541,a881))))),f313(f271(x95541,x95541,x95542),f313(f313(f295(x95541),x95544),f178(f890(x95541,a881))))))
% 119.46/119.25 [9607]P1(f313(f313(f315(f889(x96071,x96071)),f313(f313(f240(x96071,x96071),x96072),x96073)),f313(f313(f275(x96071,x96071,x96071),x96074),f293(x96071,x96074))))+~P1(f313(f313(f315(f889(x96071,x96071)),f313(f313(f240(x96071,x96071),x96072),x96075)),f313(f313(f275(x96071,x96071,x96071),x96074),f293(x96071,x96074))))+~P1(f313(f313(f315(f889(x96071,x96071)),f313(f313(f240(x96071,x96071),x96075),x96073)),x96074))
% 119.46/119.25 [9608]P1(f313(f313(f315(f889(x96081,x96081)),f313(f313(f240(x96081,x96081),x96082),x96083)),f313(f313(f275(x96081,x96081,x96081),x96084),f293(x96081,x96084))))+~P1(f313(f313(f315(f889(x96081,x96081)),f313(f313(f240(x96081,x96081),x96085),x96083)),f313(f313(f275(x96081,x96081,x96081),x96084),f293(x96081,x96084))))+~P1(f313(f313(f315(f889(x96081,x96081)),f313(f313(f240(x96081,x96081),x96082),x96085)),x96084))
% 119.46/119.25 [9658]~P1(f313(f59(x96581,x96581,x96584,x96582,x96583),x96585))+P1(f313(f313(f315(x96581),x96582),x96583))+P1(f313(f55(x96581,x96584,f313(f313(f295(x96581),x96582),x96583)),x96585))
% 119.46/119.25 [9699]~E(f313(f296(x96993,x96992,x96995),x96994),x96991)+E(x96991,f178(f890(x96992,a881)))+P1(f313(f313(f222(f890(x96993,a881)),f313(f296(x96992,x96993,f475(x96994,x96993,x96992,x96991)),x96991)),x96994))
% 119.46/119.25 [9746]~P5(x97465)+P1(f313(f313(f315(x97461),f359(x97462,x97463,x97464,x97461,x97465)),x97464))+P1(f313(f313(f222(x97465),f313(f313(f33(x97461,x97465),x97464),x97463)),x97462))
% 119.46/119.25 [9807]P33(x98071,x98072,x98073,x98074,x98075)+~E(f313(f179(f885(x98071)),x98074),f313(f179(f885(x98072)),x98075))+P1(f313(f313(f315(f889(x98071,x98072)),f713(x98075,x98074,x98073,x98072,x98071)),f313(f160(f889(x98071,x98072)),f313(f313(f169(x98071,x98072),x98074),x98075))))
% 119.46/119.25 [9808]P33(x98081,x98082,x98083,x98084,x98085)+~E(f313(f179(f885(x98081)),x98084),f313(f179(f885(x98082)),x98085))+P1(f313(f313(f315(f889(x98081,x98082)),f714(x98083,x98085,x98084,x98082,x98081)),f313(f160(f889(x98081,x98082)),f313(f313(f169(x98081,x98082),x98084),x98085))))
% 119.46/119.25 [9934]E(x99341,x99342)+P1(f313(f313(f315(f889(x99343,x99343)),f313(f313(f240(x99343,x99343),x99341),f616(x99344,x99345,x99342,x99341,x99343))),x99344))+~P1(f313(f313(f315(f889(x99343,x99343)),f313(f313(f240(x99343,x99343),x99341),x99342)),f313(f313(f171(f889(x99343,x99343),a881),x99345),x99344)))
% 119.46/119.25 [9935]E(x99351,f2(a883))+P1(f313(f313(f315(f889(x99352,x99352)),f313(f313(f240(x99352,x99352),x99353),f616(x99354,x99351,x99355,x99353,x99352))),x99354))+~P1(f313(f313(f315(f889(x99352,x99352)),f313(f313(f240(x99352,x99352),x99353),x99355)),f313(f313(f171(f889(x99352,x99352),a881),x99351),x99354)))
% 119.46/119.25 [9974]~P5(x99741)+~P1(f313(f313(f222(x99741),f313(x99744,f359(x99745,x99744,x99743,x99742,x99741))),x99745))+P1(f313(f313(f222(x99741),f313(f313(f33(x99742,x99741),x99743),x99744)),x99745))
% 119.46/119.25 [10029]E(x100291,x100292)+P1(f313(f313(f315(f889(x100293,x100293)),f313(f313(f240(x100293,x100293),f614(x100294,x100295,x100291,x100292,x100293)),x100291)),x100294))+~P1(f313(f313(f315(f889(x100293,x100293)),f313(f313(f240(x100293,x100293),x100292),x100291)),f313(f313(f171(f889(x100293,x100293),a881),x100295),x100294)))
% 119.46/119.25 [10030]E(x100301,f2(a883))+P1(f313(f313(f315(f889(x100302,x100302)),f313(f313(f240(x100302,x100302),f614(x100303,x100301,x100304,x100305,x100302)),x100304)),x100303))+~P1(f313(f313(f315(f889(x100302,x100302)),f313(f313(f240(x100302,x100302),x100305),x100304)),f313(f313(f171(f889(x100302,x100302),a881),x100301),x100303)))
% 119.46/119.25 [10034]E(x100341,x100342)+P1(f313(f313(f315(f889(x100343,x100343)),f313(f313(f240(x100343,x100343),x100341),f614(x100344,x100345,x100342,x100341,x100343))),f313(f313(f171(f889(x100343,x100343),a881),f613(x100344,x100345,x100342,x100341,x100343)),x100344)))+~P1(f313(f313(f315(f889(x100343,x100343)),f313(f313(f240(x100343,x100343),x100341),x100342)),f313(f313(f171(f889(x100343,x100343),a881),x100345),x100344)))
% 119.46/119.25 [10035]E(x100351,f2(a883))+P1(f313(f313(f315(f889(x100352,x100352)),f313(f313(f240(x100352,x100352),x100353),f614(x100354,x100351,x100355,x100353,x100352))),f313(f313(f171(f889(x100352,x100352),a881),f613(x100354,x100351,x100355,x100353,x100352)),x100354)))+~P1(f313(f313(f315(f889(x100352,x100352)),f313(f313(f240(x100352,x100352),x100353),x100355)),f313(f313(f171(f889(x100352,x100352),a881),x100351),x100354)))
% 119.46/119.25 [10089]E(x100891,x100892)+P1(f313(f313(f315(f889(x100893,x100893)),f313(f313(f240(x100893,x100893),f616(x100894,x100895,x100891,x100892,x100893)),x100891)),f313(f313(f171(f889(x100893,x100893),a881),f615(x100894,x100895,x100891,x100892,x100893)),x100894)))+~P1(f313(f313(f315(f889(x100893,x100893)),f313(f313(f240(x100893,x100893),x100892),x100891)),f313(f313(f171(f889(x100893,x100893),a881),x100895),x100894)))
% 119.46/119.25 [10090]E(x100901,f2(a883))+P1(f313(f313(f315(f889(x100902,x100902)),f313(f313(f240(x100902,x100902),f616(x100903,x100901,x100904,x100905,x100902)),x100904)),f313(f313(f171(f889(x100902,x100902),a881),f615(x100903,x100901,x100904,x100905,x100902)),x100903)))+~P1(f313(f313(f315(f889(x100902,x100902)),f313(f313(f240(x100902,x100902),x100905),x100904)),f313(f313(f171(f889(x100902,x100902),a881),x100901),x100903)))
% 119.46/119.25 [10123]~P79(x101232)+~P1(f313(f54(x101231),x101235))+E(f313(f313(f8(x101231,x101232),f313(f313(f9(x101231,x101232,x101232),f313(f313(f20(x101231,x101232,f890(x101232,x101232)),f313(f313(f10(a881,f890(x101232,f890(x101232,x101232)),x101231),f84(x101232)),f313(f313(f9(x101231,f890(x101231,a881),a881),f315(x101231)),x101233))),x101234)),f2(x101232))),x101235),f313(f313(f8(x101231,x101232),x101234),f313(f313(f93(f890(x101231,a881)),x101235),x101233)))
% 119.46/119.25 [8695]~P79(x86951)+~P1(f313(f54(x86954),x86955))+E(f313(f313(f73(x86951),f313(x86952,x86953)),f313(f313(f8(x86954,x86951),x86952),f313(f313(f3(f890(x86954,a881)),x86955),f313(f313(f295(x86954),x86953),f178(f890(x86954,a881)))))),f313(f313(f8(x86954,x86951),x86952),f313(f313(f295(x86954),x86953),x86955)))
% 119.46/119.25 [8696]~P75(x86961)+~P1(f313(f54(x86964),x86965))+E(f313(f313(f74(x86961),f313(x86962,x86963)),f313(f313(f11(x86964,x86961),x86962),f313(f313(f3(f890(x86964,a881)),x86965),f313(f313(f295(x86964),x86963),f178(f890(x86964,a881)))))),f313(f313(f11(x86964,x86961),x86962),f313(f313(f295(x86964),x86963),x86965)))
% 119.46/119.25 [9008]~P4(x90082)+~P13(x90082,f313(f156(x90082),f313(f313(f142(x90081,x90082),x90084),x90085)))+E(f313(f124(x90081,f313(f313(f10(x90082,a881,x90081),f313(f223(x90082),x90083)),x90084)),x90085),f165(x90081,f313(f313(f10(x90082,a881,x90081),f313(f223(x90082),x90083)),x90084),x90085))
% 119.46/119.25 [9033]~P79(x90331)+E(f313(f313(f73(x90331),f313(f313(f8(a883,x90331),x90332),f289(a883,x90333,x90334))),f313(f313(f8(a883,x90331),x90332),f289(a883,f313(f313(f73(a883),x90334),f71(a883)),f313(f313(f73(a883),x90334),x90335)))),f313(f313(f8(a883,x90331),x90332),f289(a883,x90333,f313(f313(f73(a883),x90334),x90335))))+~P1(f313(f313(f222(a883),x90333),f313(f313(f73(a883),x90334),f71(a883))))
% 119.46/119.25 [9034]~P1(f313(f313(f315(x90341),x90344),x90345))+~P1(f313(f313(f222(f890(x90341,a881)),f313(f160(x90341),x90342)),x90345))+P1(f313(f313(f222(f890(x90341,a881)),f313(f160(x90341),f313(f313(f147(x90341,x90342),x90343),x90344))),x90345))
% 119.46/119.25 [9259]~P5(x92592)+~P1(f313(f54(x92591),x92595))+E(f313(f313(f57(x92591,x92592,f313(f313(f10(x92592,f890(x92592,x92592),x92591),f92(x92592)),x92593)),x92594),x92595),f313(f313(f92(x92592),x92594),f313(f313(f33(x92591,x92592),x92595),x92593)))
% 119.46/119.25 [9260]~P5(x92602)+~P1(f313(f54(x92601),x92605))+E(f313(f313(f57(x92601,x92602,f313(f313(f10(x92602,f890(x92602,x92602),x92601),f93(x92602)),x92603)),x92604),x92605),f313(f313(f93(x92602),x92604),f313(f313(f32(x92601,x92602),x92605),x92603)))
% 119.46/119.25 [9309]E(f313(x93091,x93092),f313(x93091,x93093))+P1(f313(f313(f223(a883),f313(x93091,x93092)),f313(x93091,x93093)))+~P1(f313(f313(f315(f889(x93094,x93094)),f313(f313(f240(x93094,x93094),x93092),x93093)),f141(x93094,f313(f313(f139(f890(x93094,a883)),x93091),x93095))))
% 119.46/119.25 [9340]~E(f313(x93404,x93402),f313(x93404,x93403))+~P1(f313(f313(f315(f889(x93401,x93401)),f313(f313(f240(x93401,x93401),x93402),x93403)),f141(x93401,x93405)))+P1(f313(f313(f315(f889(x93401,x93401)),f313(f313(f240(x93401,x93401),x93402),x93403)),f141(x93401,f313(f313(f139(f890(x93401,a883)),x93404),x93405))))
% 119.46/119.25 [9360]~P24(x93601,x93602,x93603,x93605)+P24(x93601,x93602,x93603,f313(f313(f295(x93601),x93604),x93605))+P1(f313(f313(f315(x93602),f313(x93603,x93604)),f313(f296(x93601,x93602,x93603),f313(f313(f3(f890(x93601,a881)),x93605),f313(f313(f295(x93601),x93604),f178(f890(x93601,a881)))))))
% 119.46/119.25 [9364]P1(f313(x93642,x93645))+~P1(f313(f313(f315(x93641),x93645),f313(f160(x93641),x93643)))+E(f313(f313(f126(x93641),f313(f179(f885(x93641)),f165(x93641,x93642,f313(f313(f122(x93641),x93643),x93644)))),f313(f313(f122(x93641),x93643),x93644)),f313(f313(f122(x93641),f313(f313(f126(x93641),f313(f179(f885(x93641)),f165(x93641,x93642,x93643))),x93643)),x93644))
% 119.46/119.25 [9369]~P1(f313(f313(f315(f889(x93691,x93691)),f313(f313(f240(x93691,x93691),x93692),x93693)),f141(x93691,x93695)))+~P1(f313(f313(f222(a883),f313(x93694,x93692)),f313(x93694,x93693)))+P1(f313(f313(f315(f889(x93691,x93691)),f313(f313(f240(x93691,x93691),x93692),x93693)),f141(x93691,f313(f313(f139(f890(x93691,a883)),x93694),x93695))))
% 119.46/119.25 [9434]P1(f313(f313(f315(f889(x94344,x94344)),f313(f313(f240(x94344,x94344),x94342),x94343)),f141(x94344,x94345)))+P1(f313(f313(f223(a883),f313(x94341,x94342)),f313(x94341,x94343)))+~P1(f313(f313(f315(f889(x94344,x94344)),f313(f313(f240(x94344,x94344),x94342),x94343)),f141(x94344,f313(f313(f139(f890(x94344,a883)),x94341),x94345))))
% 119.46/119.25 [9580]~P1(f313(f313(f315(f889(f885(x95801),f885(x95801))),f313(f313(f240(f885(x95801),f885(x95801)),x95802),x95804)),f146(x95801,x95805)))+~P1(f313(f313(f223(a883),x95803),f313(f179(f885(x95801)),x95802)))+P1(f313(f313(f315(f889(x95801,x95801)),f313(f313(f240(x95801,x95801),f313(f313(f152(x95801),x95802),x95803)),f313(f313(f152(x95801),x95804),x95803))),x95805))
% 119.46/119.25 [9830]E(x98301,f2(a1))+~P1(f313(f42(x98303,x98301),f313(f313(f240(a1,a1),x98304),x98305)))+P1(f313(f42(f313(f313(f74(a1),x98302),x98303),x98301),f313(f313(f240(a1,a1),f313(f313(f73(a1),f313(f313(f74(a1),x98302),x98304)),f313(f313(f29(a1),f313(f313(f74(a1),x98302),x98305)),x98301))),f38(a1,f313(f313(f74(a1),x98302),x98305),x98301))))
% 119.46/119.25 [9835]~P1(f313(f313(f223(a883),f2(a883)),x98353))+~P1(f313(f41(x98352,x98353),f313(f313(f240(a883,a883),x98354),x98355)))+P1(f313(f41(f313(f313(f74(a883),x98351),x98352),x98353),f313(f313(f240(a883,a883),f313(f313(f73(a883),f313(f313(f74(a883),x98351),x98354)),f313(f313(f29(a883),f313(f313(f74(a883),x98351),x98355)),x98353))),f38(a883,f313(f313(f74(a883),x98351),x98355),x98353))))
% 119.46/119.25 [10145]~P79(x101452)+~P1(f313(f54(x101451),x101454))+E(f313(f313(f8(x101451,x101452),x101453),f313(f250(x101451),f313(f313(f20(x101451,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101451),a311),f313(f313(f9(x101451,f890(x101451,a881),a881),f315(x101451)),x101454))),f313(f313(f9(x101451,f890(x101451,a881),a881),f315(x101451)),x101455)))),f313(f313(f8(x101451,x101452),f313(f313(f9(x101451,x101452,x101452),f313(f313(f20(x101451,x101452,f890(x101452,x101452)),f313(f313(f10(a881,f890(x101452,f890(x101452,x101452)),x101451),f84(x101452)),f313(f313(f9(x101451,f890(x101451,a881),a881),f315(x101451)),x101455))),x101453)),f2(x101452))),x101454))
% 119.46/119.25 [8331]~E(f313(f313(f122(x83311),x83312),x83315),f313(f313(f122(x83311),x83313),x83314))+E(f313(f313(f122(x83311),f313(f313(f126(x83311),f313(f179(f885(x83311)),x83312)),x83313)),x83314),x83315)+P1(f313(f313(f222(a883),f313(f179(f885(x83311)),x83313)),f313(f179(f885(x83311)),x83312)))
% 119.46/119.25 [8527]~E(f313(f313(f122(x85272),x85273),x85271),f313(f313(f122(x85272),x85274),x85275))+E(x85271,f313(f313(f122(x85272),f313(f313(f126(x85272),f313(f179(f885(x85272)),x85273)),x85274)),x85275))+~P1(f313(f313(f222(a883),f313(f179(f885(x85272)),x85273)),f313(f179(f885(x85272)),x85274)))
% 119.46/119.25 [8616]~E(f313(f313(f73(a883),f313(f313(f74(a883),x86163),x86164)),x86161),f313(f313(f73(a883),f313(f313(f74(a883),x86162),x86164)),x86165))+~P1(f313(f313(f222(a883),x86163),x86162))+E(x86161,f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x86162),x86163)),x86164)),x86165))
% 119.46/119.25 [8617]~E(f313(f313(f73(a883),f313(f313(f74(a883),x86171),x86173)),x86174),f313(f313(f73(a883),f313(f313(f74(a883),x86172),x86173)),x86175))+~P1(f313(f313(f222(a883),x86172),x86171))+E(f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x86171),x86172)),x86173)),x86174),x86175)
% 119.46/119.25 [8769]E(f313(f313(f73(a883),f313(f313(f74(a883),x87691),x87692)),x87693),f313(f313(f73(a883),f313(f313(f74(a883),x87694),x87692)),x87695))+~P1(f313(f313(f222(a883),x87694),x87691))+~E(x87695,f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x87691),x87694)),x87692)),x87693))
% 119.46/119.25 [8770]E(f313(f313(f73(a883),f313(f313(f74(a883),x87701),x87702)),x87703),f313(f313(f73(a883),f313(f313(f74(a883),x87704),x87702)),x87705))+~P1(f313(f313(f222(a883),x87704),x87701))+~E(f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x87701),x87704)),x87702)),x87703),x87705)
% 119.46/119.25 [9140]~P1(f313(f313(f273(a1),x91401),x91404))+~P1(f313(f313(f273(a1),x91401),f313(f313(f73(a1),x91402),x91405)))+P1(f313(f313(f273(a1),x91401),f313(f313(f73(a1),f313(f313(f73(a1),x91402),f313(f313(f74(a1),x91403),x91404))),x91405)))
% 119.46/119.25 [9361]~P1(f313(f313(f273(a1),x93611),x93614))+P1(f313(f313(f273(a1),x93611),f313(f313(f73(a1),x93612),x93613)))+~P1(f313(f313(f273(a1),x93611),f313(f313(f73(a1),f313(f313(f73(a1),x93612),f313(f313(f74(a1),x93615),x93614))),x93613)))
% 119.46/119.25 [9631]~P79(x96312)+~P1(f313(f54(x96311),x96315))+E(f313(f313(f8(x96311,x96312),f313(f313(f20(x96311,x96312,x96312),f313(f313(f10(x96312,f890(x96312,x96312),x96311),f73(x96312)),x96313)),x96314)),x96315),f313(f313(f73(x96312),f313(f313(f8(x96311,x96312),x96313),x96315)),f313(f313(f8(x96311,x96312),x96314),x96315)))
% 119.46/119.25 [9632]~P75(x96322)+~P1(f313(f54(x96321),x96325))+E(f313(f313(f11(x96321,x96322),f313(f313(f20(x96321,x96322,x96322),f313(f313(f10(x96322,f890(x96322,x96322),x96321),f74(x96322)),x96323)),x96324)),x96325),f313(f313(f74(x96322),f313(f313(f11(x96321,x96322),x96323),x96325)),f313(f313(f11(x96321,x96322),x96324),x96325)))
% 119.46/119.25 [9633]~P70(x96332)+~P1(f313(f54(x96331),x96335))+E(f313(f313(f11(x96331,x96332),f313(f313(f20(x96331,x96332,x96332),f313(f313(f10(x96332,f890(x96332,x96332),x96331),f277(x96332)),x96333)),x96334)),x96335),f313(f313(f277(x96332),f313(f313(f11(x96331,x96332),x96333),x96335)),f313(f313(f11(x96331,x96332),x96334),x96335)))
% 119.46/119.25 [9763]~E(f617(x97635,x97634,x97633,x97632,x97631),f618(x97635,x97634,x97633,x97632,x97631))+P1(f313(f313(f315(f889(x97631,x97631)),f313(f313(f240(x97631,x97631),x97632),x97633)),f293(x97631,x97634)))+~P1(f313(f313(f315(f889(x97631,x97631)),f313(f313(f240(x97631,x97631),x97632),x97633)),f293(x97631,f313(f313(f92(f890(f889(x97631,x97631),a881)),x97634),x97635))))
% 119.46/119.25 [9764]~E(f619(x97645,x97644,x97643,x97642,x97641),f620(x97645,x97644,x97643,x97642,x97641))+P1(f313(f313(f315(f889(x97641,x97641)),f313(f313(f240(x97641,x97641),x97642),x97643)),f293(x97641,x97644)))+~P1(f313(f313(f315(f889(x97641,x97641)),f313(f313(f240(x97641,x97641),x97642),x97643)),f293(x97641,f313(f313(f92(f890(f889(x97641,x97641),a881)),x97644),x97645))))
% 119.46/119.25 [9964]P1(f313(f313(f315(f889(x99641,x99641)),f313(f313(f240(x99641,x99641),x99642),f618(x99645,x99644,x99643,x99642,x99641))),f293(x99641,x99644)))+P1(f313(f313(f315(f889(x99641,x99641)),f313(f313(f240(x99641,x99641),x99642),x99643)),f293(x99641,x99644)))+~P1(f313(f313(f315(f889(x99641,x99641)),f313(f313(f240(x99641,x99641),x99642),x99643)),f293(x99641,f313(f313(f92(f890(f889(x99641,x99641),a881)),x99644),x99645))))
% 119.46/119.25 [10056]P1(f313(f313(f315(f889(x100561,x100561)),f313(f313(f240(x100561,x100561),f620(x100565,x100564,x100563,x100562,x100561)),x100563)),f293(x100561,x100564)))+P1(f313(f313(f315(f889(x100561,x100561)),f313(f313(f240(x100561,x100561),x100562),x100563)),f293(x100561,x100564)))+~P1(f313(f313(f315(f889(x100561,x100561)),f313(f313(f240(x100561,x100561),x100562),x100563)),f293(x100561,f313(f313(f92(f890(f889(x100561,x100561),a881)),x100564),x100565))))
% 119.46/119.25 [10096]P1(f313(f313(f315(f889(x100961,x100961)),f313(f313(f240(x100961,x100961),x100962),x100963)),f293(x100961,x100964)))+P1(f313(f313(f315(f889(x100961,x100961)),f313(f313(f240(x100961,x100961),f618(x100965,x100964,x100963,x100962,x100961)),f617(x100965,x100964,x100963,x100962,x100961))),x100965))+~P1(f313(f313(f315(f889(x100961,x100961)),f313(f313(f240(x100961,x100961),x100962),x100963)),f293(x100961,f313(f313(f92(f890(f889(x100961,x100961),a881)),x100964),x100965))))
% 119.46/119.25 [10097]P1(f313(f313(f315(f889(x100971,x100971)),f313(f313(f240(x100971,x100971),x100972),x100973)),f293(x100971,x100974)))+P1(f313(f313(f315(f889(x100971,x100971)),f313(f313(f240(x100971,x100971),f619(x100975,x100974,x100973,x100972,x100971)),f620(x100975,x100974,x100973,x100972,x100971))),x100975))+~P1(f313(f313(f315(f889(x100971,x100971)),f313(f313(f240(x100971,x100971),x100972),x100973)),f293(x100971,f313(f313(f92(f890(f889(x100971,x100971),a881)),x100974),x100975))))
% 119.46/119.25 [10234]~P1(f313(f313(f315(f889(f885(x102341),f885(x102341))),f313(f313(f240(f885(x102341),f885(x102341)),x102344),x102345)),f146(x102341,x102342)))+~P1(f313(f313(f315(f889(x102341,x102341)),x102343),f313(f160(f889(x102341,x102341)),f313(f313(f169(x102341,x102341),x102344),x102345))))+P1(f313(f313(f245(x102341,x102341,a881),f313(f313(f9(x102341,f890(f889(x102341,x102341),a881),f890(x102341,a881)),f313(f313(f10(f890(x102341,f890(f890(f889(x102341,x102341),a881),a881)),f890(f890(f889(x102341,x102341),a881),f890(x102341,a881)),x102341),f9(x102341,f890(f889(x102341,x102341),a881),a881)),f313(f313(f10(f890(x102341,f889(x102341,x102341)),f890(x102341,f890(f890(f889(x102341,x102341),a881),a881)),x102341),f313(f10(f889(x102341,x102341),f890(f890(f889(x102341,x102341),a881),a881),x102341),f315(f889(x102341,x102341)))),f240(x102341,x102341)))),x102342)),x102343))
% 119.46/119.25 [9662]~P1(f313(f313(f222(a883),x96623),x96622))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),f313(f313(f74(a883),x96623),x96624)),x96621)),f313(f313(f73(a883),f313(f313(f74(a883),x96622),x96624)),x96625)))+P1(f313(f313(f222(a883),x96621),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x96622),x96623)),x96624)),x96625)))
% 119.46/119.25 [9663]~P1(f313(f313(f222(a883),x96633),x96632))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),x96633),x96634)),x96631)),f313(f313(f73(a883),f313(f313(f74(a883),x96632),x96634)),x96635)))+P1(f313(f313(f223(a883),x96631),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x96632),x96633)),x96634)),x96635)))
% 119.46/119.25 [9681]~P1(f313(f313(f222(a883),x96811),x96814))+P1(f313(f313(f222(a883),f313(f313(f73(a883),f313(f313(f74(a883),x96811),x96812)),x96813)),f313(f313(f73(a883),f313(f313(f74(a883),x96814),x96812)),x96815)))+~P1(f313(f313(f222(a883),x96813),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x96814),x96811)),x96812)),x96815)))
% 119.46/119.25 [9682]~P1(f313(f313(f222(a883),x96821),x96824))+P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),x96821),x96822)),x96823)),f313(f313(f73(a883),f313(f313(f74(a883),x96824),x96822)),x96825)))+~P1(f313(f313(f223(a883),x96823),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x96824),x96821)),x96822)),x96825)))
% 119.46/119.25 [9805]~P1(f313(f313(f222(a883),x98052),x98051))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),f313(f313(f74(a883),x98051),x98053)),x98054)),f313(f313(f73(a883),f313(f313(f74(a883),x98052),x98053)),x98055)))+P1(f313(f313(f222(a883),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x98051),x98052)),x98053)),x98054)),x98055))
% 119.46/119.25 [9806]~P1(f313(f313(f222(a883),x98062),x98061))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),x98061),x98063)),x98064)),f313(f313(f73(a883),f313(f313(f74(a883),x98062),x98063)),x98065)))+P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x98061),x98062)),x98063)),x98064)),x98065))
% 119.46/119.25 [9854]~P1(f313(f313(f222(a883),x98544),x98541))+P1(f313(f313(f222(a883),f313(f313(f73(a883),f313(f313(f74(a883),x98541),x98542)),x98543)),f313(f313(f73(a883),f313(f313(f74(a883),x98544),x98542)),x98545)))+~P1(f313(f313(f222(a883),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x98541),x98544)),x98542)),x98543)),x98545))
% 119.46/119.25 [9855]~P1(f313(f313(f222(a883),x98554),x98551))+P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),x98551),x98552)),x98553)),f313(f313(f73(a883),f313(f313(f74(a883),x98554),x98552)),x98555)))+~P1(f313(f313(f223(a883),f313(f313(f73(a883),f313(f313(f74(a883),f313(f313(f3(a883),x98551),x98554)),x98552)),x98553)),x98555))
% 119.46/119.25 [10084]~P11(x100841,x100842,x100845,x100843)+~P1(f313(f313(f315(f889(x100841,x100841)),x100844),x100845))+P1(f313(f313(f245(x100841,x100841,a881),f313(f313(f9(x100841,f890(x100841,x100842),f890(x100841,a881)),f313(f313(f10(f890(x100842,a881),f890(f890(x100841,x100842),f890(x100841,a881)),x100841),f10(x100842,a881,x100841)),f313(f313(f10(x100842,f890(x100842,a881),x100841),a310),x100843))),x100843)),x100844))
% 119.46/119.25 [10105]~P3(x101051)+~P39(x101051,f890(x101052,a881),x101053)+P39(x101051,f890(x101052,a881),f313(f313(f9(x101051,f890(x101052,a881),f890(x101052,a881)),f313(f313(f10(f890(x101052,a881),f890(f890(x101052,a881),f890(x101052,a881)),x101051),f92(f890(x101052,a881))),f313(f313(f9(x101051,f890(x101052,a881),f890(x101052,a881)),f313(f313(f10(f890(x101052,a881),f890(f890(x101052,a881),f890(x101052,a881)),x101051),f92(f890(x101052,a881))),x101053)),x101054))),x101055))
% 119.46/119.25 [8489]~P19(x84896,x84891,x84892,x84894)+E(f313(f66(x84891,x84891,x84891,f313(x84892,x84893)),f313(x84894,x84895)),f313(f66(x84891,x84891,x84891,f313(x84894,x84895)),f313(x84892,x84893)))+~P1(f313(f54(x84896),x84895))
% 119.46/119.25 [8902]~P24(x89021,x89023,x89025,x89026)+~P24(x89023,x89022,x89024,f313(f296(x89021,x89023,x89025),x89026))+P24(x89021,x89022,f313(f66(x89023,x89022,x89021,x89024),x89025),x89026)
% 119.46/119.25 [8903]~P24(x89031,x89033,x89035,x89036)+~P24(x89033,x89032,x89034,f313(f296(x89031,x89033,x89035),x89036))+P24(x89031,x89032,f313(f66(x89033,x89032,x89031,x89034),x89035),x89036)
% 119.46/119.25 [9083]~P24(x90834,x90831,x90835,x90836)+~P24(x90834,x90832,f313(f66(x90831,x90832,x90834,x90833),x90835),x90836)+P24(x90831,x90832,x90833,f313(f296(x90834,x90831,x90835),x90836))
% 119.46/119.25 [9465]~P1(f313(f313(x94654,x94652),x94656))+~P1(f313(f313(x94653,x94655),x94652))+P1(f313(f313(f315(x94651),x94652),f283(x94651,x94653,x94654,x94655,x94656)))
% 119.46/119.25 [9466]~P1(f313(f313(x94663,x94662),x94666))+~P1(f313(f313(x94664,x94665),x94662))+P1(f313(f313(f315(x94661),x94662),f286(x94661,x94663,x94664,x94665,x94666)))
% 119.46/119.25 [9581]E(x95811,x95812)+E(x95813,x95814)+~P1(f313(f313(f315(f889(f885(x95815),f885(x95815))),f313(f313(f240(f885(x95815),f885(x95815)),f313(f313(f139(x95815),x95813),x95811)),f313(f313(f139(x95815),x95814),x95812))),f145(x95815,x95816)))
% 119.46/119.25 [9589]~E(x95892,x95894)+P1(f313(f313(f315(f889(f885(x95891),f885(x95891))),f313(f313(f240(f885(x95891),f885(x95891)),f313(f313(f139(x95891),x95892),x95893)),f313(f313(f139(x95891),x95894),x95895))),f133(x95891,x95896)))+~P1(f313(f313(f315(f889(f885(x95891),f885(x95891))),f313(f313(f240(f885(x95891),f885(x95891)),x95893),x95895)),f133(x95891,x95896)))
% 119.46/119.25 [9590]~E(x95902,x95904)+P1(f313(f313(f315(f889(f885(x95901),f885(x95901))),f313(f313(f240(f885(x95901),f885(x95901)),f313(f313(f139(x95901),x95902),x95903)),f313(f313(f139(x95901),x95904),x95905))),f135(x95901,x95906)))+~P1(f313(f313(f315(f889(f885(x95901),f885(x95901))),f313(f313(f240(f885(x95901),f885(x95901)),x95903),x95905)),f135(x95901,x95906)))
% 119.46/119.25 [9591]~E(x95912,x95914)+P1(f313(f313(f315(f889(f885(x95911),f885(x95911))),f313(f313(f240(f885(x95911),f885(x95911)),f313(f313(f139(x95911),x95912),x95913)),f313(f313(f139(x95911),x95914),x95915))),f145(x95911,x95916)))+~P1(f313(f313(f315(f889(f885(x95911),f885(x95911))),f313(f313(f240(f885(x95911),f885(x95911)),x95913),x95915)),f145(x95911,x95916)))
% 119.46/119.25 [9592]~E(x95922,x95924)+P1(f313(f313(f315(f889(f885(x95921),f885(x95921))),f313(f313(f240(f885(x95921),f885(x95921)),f313(f313(f122(x95921),x95922),x95923)),f313(f313(f122(x95921),x95924),x95925))),f145(x95921,x95926)))+~P1(f313(f313(f315(f889(f885(x95921),f885(x95921))),f313(f313(f240(f885(x95921),f885(x95921)),x95923),x95925)),f145(x95921,x95926)))
% 119.46/119.25 [9593]~E(x95933,x95935)+P1(f313(f313(f315(f889(f885(x95931),f885(x95931))),f313(f313(f240(f885(x95931),f885(x95931)),f313(f313(f122(x95931),x95932),x95933)),f313(f313(f122(x95931),x95934),x95935))),f145(x95931,x95936)))+~P1(f313(f313(f315(f889(f885(x95931),f885(x95931))),f313(f313(f240(f885(x95931),f885(x95931)),x95932),x95934)),f145(x95931,x95936)))
% 119.46/119.25 [9650]E(x96501,x96502)+P1(f313(f313(f315(f889(f885(x96503),f885(x96503))),f313(f313(f240(f885(x96503),f885(x96503)),x96501),x96502)),f145(x96503,x96504)))+~P1(f313(f313(f315(f889(f885(x96503),f885(x96503))),f313(f313(f240(f885(x96503),f885(x96503)),f313(f313(f139(x96503),x96505),x96501)),f313(f313(f139(x96503),x96506),x96502))),f145(x96503,x96504)))
% 119.46/119.25 [9809]~E(x98093,x98095)+P1(f313(f313(f315(f889(f885(x98091),f885(x98091))),f313(f313(f240(f885(x98091),f885(x98091)),f313(f313(f122(x98091),x98092),f313(f313(f139(x98091),x98093),f104(x98091)))),f313(f313(f122(x98091),x98094),f313(f313(f139(x98091),x98095),f104(x98091))))),f145(x98091,x98096)))+~P1(f313(f313(f315(f889(f885(x98091),f885(x98091))),f313(f313(f240(f885(x98091),f885(x98091)),x98092),x98094)),f145(x98091,x98096)))
% 119.46/119.25 [9858]E(x98581,x98582)+E(x98583,x98584)+~P1(f313(f313(f315(f889(f885(x98585),f885(x98585))),f313(f313(f240(f885(x98585),f885(x98585)),f313(f313(f122(x98585),x98583),f313(f313(f139(x98585),x98581),f104(x98585)))),f313(f313(f122(x98585),x98584),f313(f313(f139(x98585),x98582),f104(x98585))))),f145(x98585,x98586)))
% 119.46/119.25 [9882]E(x98821,x98822)+~P1(f313(f313(f315(f889(f885(x98823),f885(x98823))),f313(f313(f240(f885(x98823),f885(x98823)),f313(f313(f122(x98823),x98821),f313(f313(f139(x98823),x98825),f104(x98823)))),f313(f313(f122(x98823),x98822),f313(f313(f139(x98823),x98826),f104(x98823))))),f145(x98823,x98824)))+P1(f313(f313(f315(f889(f885(x98823),f885(x98823))),f313(f313(f240(f885(x98823),f885(x98823)),x98821),x98822)),f145(x98823,x98824)))
% 119.46/119.25 [9917]~P1(f313(f313(f315(f889(f890(x99171,a881),f890(x99171,a881))),f313(f313(f240(f890(x99171,a881),f890(x99171,a881)),x99172),x99174)),f304(x99171,x99176)))+~P1(f313(f313(f315(f889(f890(x99171,a881),f890(x99171,a881))),f313(f313(f240(f890(x99171,a881),f890(x99171,a881)),x99173),x99175)),f304(x99171,x99176)))+P1(f313(f313(f315(f889(f890(x99171,a881),f890(x99171,a881))),f313(f313(f240(f890(x99171,a881),f890(x99171,a881)),f313(f313(f92(f890(x99171,a881)),x99172),x99173)),f313(f313(f92(f890(x99171,a881)),x99174),x99175))),f304(x99171,x99176)))
% 119.46/119.25 [5640]~E(f313(f313(f122(x56401),x56406),x56403),x56405)+E(f313(f313(f122(x56401),x56402),x56403),f313(f313(f139(x56401),x56404),x56405))+~E(x56402,f313(f313(f139(x56401),x56404),x56406))
% 119.46/119.25 [5641]~E(f313(f313(f122(x56411),x56416),x56413),x56415)+E(f313(f313(f122(x56411),x56412),x56413),f313(f313(f122(x56411),x56414),x56415))+~E(x56412,f313(f313(f122(x56411),x56414),x56416))
% 119.46/119.25 [5642]E(f313(f313(f122(x56421),x56422),x56423),f313(f313(f139(x56421),x56424),x56425))+~E(f313(f313(f139(x56421),x56424),x56426),x56422)+~E(x56425,f313(f313(f122(x56421),x56426),x56423))
% 119.46/119.25 [5643]E(f313(f313(f122(x56431),x56432),x56433),f313(f313(f139(x56431),x56434),x56435))+~E(f313(f313(f139(x56431),x56434),x56436),x56432)+~E(x56435,f313(f313(f122(x56431),x56436),x56433))
% 119.46/119.25 [5644]~E(f313(f313(f122(x56441),x56442),x56446),x56444)+E(f313(f313(f122(x56441),x56442),x56443),f313(f313(f122(x56441),x56444),x56445))+~E(x56443,f313(f313(f122(x56441),x56446),x56445))
% 119.46/119.25 [5645]~E(f313(f313(f122(x56451),x56452),x56456),x56454)+E(f313(f313(f122(x56451),x56452),x56453),f313(f313(f122(x56451),x56454),x56455))+~E(x56453,f313(f313(f122(x56451),x56456),x56455))
% 119.46/119.25 [6852]E(f313(x68521,x68522),f313(x68523,x68522))+~E(f313(f313(f142(x68524,x68525),x68521),x68526),f313(f313(f142(x68524,x68525),x68523),x68526))+~P1(f313(f313(f315(x68524),x68522),f313(f160(x68524),x68526)))
% 119.46/119.25 [7250]~P19(x72504,x72505,x72506,x72501)+E(f313(f313(x72501,x72502),x72503),f313(f313(f57(x72504,x72505,x72506),x72503),x72502))+~P1(f313(f54(x72504),x72502))
% 119.46/119.25 [7319]~E(x73192,f313(x73194,x73196))+~P1(f313(f313(f315(x73193),x73196),x73195))+P1(f313(f313(f315(x73191),x73192),f313(f296(x73193,x73191,x73194),x73195)))
% 119.46/119.25 [7320]~E(x73202,f313(x73204,x73206))+~P1(f313(f313(f315(x73203),x73206),x73205))+P1(f313(f313(f315(x73201),x73202),f313(f296(x73203,x73201,x73204),x73205)))
% 119.46/119.25 [7321]~E(x73212,f313(x73214,x73216))+~P1(f313(f313(f315(x73213),x73216),x73215))+P1(f313(f313(f315(x73211),x73212),f313(f296(x73213,x73211,x73214),x73215)))
% 119.46/119.25 [7322]~E(f313(x73224,x73222),x73226)+~P1(f313(f313(f315(x73223),x73226),x73225))+P1(f313(f313(f315(x73221),x73222),f313(f297(x73221,x73223,x73224),x73225)))
% 119.46/119.25 [7781]~P31(x77811,x77812,x77814,x77816)+P31(x77811,x77812,f313(f313(f139(x77811),x77813),x77814),f313(f313(f139(x77811),x77815),x77816))+~P1(f313(f313(x77812,x77813),x77815))
% 119.46/119.25 [7782]~P31(x77821,x77822,x77824,x77826)+P31(x77821,x77822,f313(f313(f139(x77821),x77823),x77824),f313(f313(f139(x77821),x77825),x77826))+~P1(f313(f313(x77822,x77823),x77825))
% 119.46/119.25 [8777]~P59(x87774,x87775,x87771,x87772,x87776)+E(f313(x87771,f313(x87772,x87773)),x87773)+~P1(f313(f313(f315(x87775),x87773),x87776))
% 119.46/119.25 [9277]~P24(x92771,x92772,x92773,x92776)+P24(x92771,x92772,f68(x92771,x92772,x92773,x92774,x92775),x92776)+P1(f313(f313(f315(x92772),x92775),f313(f296(x92771,x92772,x92773),x92776)))
% 119.46/119.25 [9583]E(x95831,x95832)+E(f313(f179(f885(x95833)),x95834),f313(f179(f885(x95833)),x95835))+~P1(f313(f313(f315(f889(f885(x95833),f885(x95833))),f313(f313(f240(f885(x95833),f885(x95833)),f313(f313(f139(x95833),x95831),x95834)),f313(f313(f139(x95833),x95832),x95835))),f133(x95833,x95836)))
% 119.46/119.25 [9645]~P16(x96451,x96452,x96453)+E(f313(f313(f57(x96451,x96452,x96453),x96454),x96455),x96456)+~P1(f313(f59(x96451,x96452,x96453,x96454,x96455),x96456))
% 119.46/119.25 [9653]E(f313(f179(f885(x96531)),x96532),f313(f179(f885(x96531)),x96533))+P1(f313(f313(f315(f889(f885(x96531),f885(x96531))),f313(f313(f240(f885(x96531),f885(x96531)),x96532),x96533)),f133(x96531,x96534)))+~P1(f313(f313(f315(f889(f885(x96531),f885(x96531))),f313(f313(f240(f885(x96531),f885(x96531)),f313(f313(f139(x96531),x96535),x96532)),f313(f313(f139(x96531),x96536),x96533))),f133(x96531,x96534)))
% 119.46/119.25 [9673]~P1(f313(f313(f315(f889(x96731,x96731)),f313(f313(f240(x96731,x96731),x96732),x96734)),f293(x96731,x96736)))+P1(f313(f313(f315(f889(f885(x96731),f885(x96731))),f313(f313(f240(f885(x96731),f885(x96731)),f313(f313(f139(x96731),x96732),x96733)),f313(f313(f139(x96731),x96734),x96735))),f293(f885(x96731),f145(x96731,x96736))))+~P1(f313(f313(f315(f889(f885(x96731),f885(x96731))),f313(f313(f240(f885(x96731),f885(x96731)),x96733),x96735)),f293(f885(x96731),f145(x96731,x96736))))
% 119.46/119.25 [9864]~P1(f313(x98642,x98646))+~E(f313(f124(x98641,x98642),x98643),f313(f313(f139(x98641),x98644),x98645))+~P1(f313(f313(f315(x98641),x98646),f313(f160(x98641),f764(x98645,x98644,x98643,x98642,x98641))))
% 119.46/119.25 [9865]~P1(f313(x98654,x98656))+~E(f313(f313(f139(x98651),x98652),x98653),f313(f124(x98651,x98654),x98655))+~P1(f313(f313(f315(x98651),x98656),f313(f160(x98651),f762(x98655,x98654,x98653,x98652,x98651))))
% 119.46/119.25 [10175]~P79(x101752)+E(f313(f313(f8(x101751,x101752),f313(f313(f10(f890(x101753,a881),x101752,x101751),f313(f8(x101753,x101752),x101754)),f313(f313(f10(f890(x101753,a881),f890(x101753,a881),x101751),f250(x101753)),f313(f313(f10(f890(x101753,a881),f890(x101753,a881),x101751),f313(f20(x101753,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101753),a311),f313(f313(f9(x101753,f890(x101753,a881),a881),f315(x101753)),x101755)))),f313(f9(x101753,x101751,a881),f313(f313(f10(x101751,f890(x101751,a881),x101753),a310),x101756)))))),f313(f296(x101753,x101751,x101756),x101755)),f313(f313(f8(x101753,x101752),x101754),x101755))+~P1(f313(f54(x101753),x101755))
% 119.46/119.25 [6913]~P4(x69133)+P1(f313(x69132,x69135))+E(f313(f124(x69131,x69132),f313(f313(f136(x69131,x69133,x69134),x69135),x69136)),f313(f124(x69131,x69132),x69136))
% 119.46/119.25 [6915]P1(f313(x69151,x69152))+~E(f154(x69153,x69151,x69154),f313(f313(f240(f885(x69153),f885(x69153)),x69155),x69156))+~P1(f313(f313(f315(x69153),x69152),f313(f160(x69153),x69155)))
% 119.46/119.25 [6964]~P1(f313(x69642,x69646))+~E(f154(x69641,x69642,x69643),f313(f313(f240(f885(x69641),f885(x69641)),x69644),x69645))+~P1(f313(f313(f315(x69641),x69646),f313(f160(x69641),x69645)))
% 119.46/119.25 [7643]~P14(x76431,x76432,x76433)+~P1(f313(f54(x76431),x76436))+E(f313(f313(f57(x76431,x76432,x76433),x76434),f313(f313(f295(x76431),x76435),x76436)),f313(f313(f57(x76431,x76432,x76433),f313(f313(x76433,x76435),x76434)),x76436))
% 119.46/119.25 [7696]~P4(x76962)+~P1(f313(f313(f222(x76962),f313(x76963,x76964)),f313(x76963,x76965)))+E(f313(f313(f136(x76961,x76962,x76963),x76964),f313(f313(f139(x76961),x76965),x76966)),f313(f313(f139(x76961),x76964),f313(f313(f139(x76961),x76965),x76966)))
% 119.46/119.25 [7810]E(x78101,x78102)+~E(f313(f313(f242(x78103,x78104),x78101),f313(f18(f890(x78104,a881),x78103),x78105)),f313(f313(f242(x78103,x78104),x78102),f313(f18(f890(x78104,a881),x78103),x78105)))+~P1(f313(f313(f315(x78104),x78106),x78105))
% 119.46/119.25 [7876]~P14(x78761,x78762,x78763)+~P1(f313(f54(x78761),x78766))+E(f313(f313(f57(x78761,x78762,x78763),x78764),f313(f313(f295(x78761),x78765),x78766)),f313(f313(x78763,x78765),f313(f313(f57(x78761,x78762,x78763),x78764),x78766)))
% 119.46/119.25 [7995]~P16(x79951,x79952,x79953)+~P1(f313(f54(x79951),x79956))+E(f313(f313(f57(x79951,x79952,x79953),f313(f313(x79953,x79954),x79955)),x79956),f313(f313(x79953,x79954),f313(f313(f57(x79951,x79952,x79953),x79955),x79956)))
% 119.46/119.25 [8063]~P20(x80632,x80635,x80636,x80631)+~P1(f313(f54(x80632),x80634))+E(f313(x80631,f313(f313(f295(x80632),x80633),x80634)),f313(f66(x80635,x80635,x80635,f313(x80631,x80634)),f313(x80636,x80633)))
% 119.46/119.25 [8096]~P4(x80962)+P1(f313(f313(f222(x80962),f313(x80963,x80964)),f313(x80963,x80965)))+E(f313(f313(f136(x80961,x80962,x80963),x80964),f313(f313(f139(x80961),x80965),x80966)),f313(f313(f139(x80961),x80965),f313(f313(f136(x80961,x80962,x80963),x80964),x80966)))
% 119.46/119.25 [8238]~E(f313(f179(f885(x82381)),x82385),f313(f179(f885(x82382)),x82386))+~E(f313(f179(f885(x82381)),x82383),f313(f179(f885(x82382)),x82384))+E(f313(f313(f122(f889(x82381,x82382)),f313(f313(f169(x82381,x82382),x82383),x82384)),f313(f313(f169(x82381,x82382),x82385),x82386)),f313(f313(f169(x82381,x82382),f313(f313(f122(x82381),x82383),x82385)),f313(f313(f122(x82382),x82384),x82386)))
% 119.46/119.25 [8349]~E(x83492,f313(f296(x83493,x83491,x83494),x83496))+P1(f313(f313(f222(f890(x83491,a881)),x83492),f313(f296(x83493,x83491,x83494),x83495)))+~P1(f313(f313(f222(f890(x83493,a881)),x83496),x83495))
% 119.46/119.25 [8448]~P4(x84485)+E(f313(x84481,x84482),f313(x84481,x84483))+E(f313(f313(f136(x84484,x84485,x84481),x84482),f313(f313(f136(x84484,x84485,x84481),x84483),x84486)),f313(f313(f136(x84484,x84485,x84481),x84483),f313(f313(f136(x84484,x84485,x84481),x84482),x84486)))
% 119.46/119.25 [8624]~P1(f313(f313(f315(x86242),x86244),f313(x86246,x86243)))+~P1(f313(f313(f315(x86241),x86243),x86245))+P1(f313(f313(f315(f889(x86241,x86242)),f313(f313(f240(x86241,x86242),x86243),x86244)),f313(f313(f242(x86241,x86242),x86245),x86246)))
% 119.46/119.25 [8625]~P1(f313(f313(f315(x86252),x86254),f313(x86256,x86253)))+~P1(f313(f313(f315(x86251),x86253),x86255))+P1(f313(f313(f315(f889(x86251,x86252)),f313(f313(f240(x86251,x86252),x86253),x86254)),f313(f313(f242(x86251,x86252),x86255),x86256)))
% 119.46/119.25 [9076]~P79(x90762)+~P24(x90764,x90761,x90765,x90766)+E(f313(f313(f8(x90761,x90762),x90763),f313(f296(x90764,x90761,x90765),x90766)),f313(f313(f8(x90764,x90762),f313(f66(x90761,x90762,x90764,x90763),x90765)),x90766))
% 119.46/119.25 [9077]~P75(x90772)+~P24(x90774,x90771,x90775,x90776)+E(f313(f313(f11(x90771,x90772),x90773),f313(f296(x90774,x90771,x90775),x90776)),f313(f313(f11(x90774,x90772),f313(f66(x90771,x90772,x90774,x90773),x90775)),x90776))
% 119.46/119.25 [9122]~P33(x91222,x91225,x91221,x91223,x91226)+P1(f313(f313(x91221,f313(f313(f152(x91222),x91223),x91224)),f313(f313(f152(x91225),x91226),x91224)))+~P1(f313(f313(f223(a883),x91224),f313(f179(f885(x91222)),x91223)))
% 119.46/119.25 [9123]~P33(x91232,x91235,x91231,x91233,x91236)+P1(f313(f313(x91231,f313(f313(f152(x91232),x91233),x91234)),f313(f313(f152(x91235),x91236),x91234)))+~P1(f313(f313(f223(a883),x91234),f313(f179(f885(x91235)),x91236)))
% 119.46/119.25 [9124]~P33(x91242,x91245,x91241,x91243,x91246)+P1(f313(f313(x91241,f313(f313(f152(x91242),x91243),x91244)),f313(f313(f152(x91245),x91246),x91244)))+~P1(f313(f313(f223(a883),x91244),f313(f179(f885(x91242)),x91243)))
% 119.46/119.25 [9134]~E(f313(f296(x91341,x91342,x91343),x91344),x91346)+E(f313(f296(x91341,x91342,x91343),f313(f296(x91342,x91341,f85(x91341,x91342,x91344,x91343)),x91345)),x91345)+~P1(f313(f313(f222(f890(x91342,a881)),x91345),x91346))
% 119.46/119.25 [9336]~P19(x93363,x93361,x93366,x93362)+~P1(f313(f54(x93363),x93364))+E(f313(f66(x93361,x93361,x93361,f313(x93362,f313(f313(f3(f890(x93363,a881)),x93364),f313(f313(f295(x93363),x93365),f178(f890(x93363,a881)))))),f313(x93366,x93365)),f313(x93362,f313(f313(f295(x93363),x93365),x93364)))
% 119.46/119.25 [9347]~P1(f313(f313(f315(x93475),x93473),x93476))+P1(f313(f313(f315(x93471),f313(x93472,x93473)),f87(f890(x93471,a881),x93474)))+~P1(f313(f313(f222(f890(x93471,a881)),f313(f296(x93475,x93471,x93472),x93476)),f313(x93474,f313(f296(x93475,x93471,x93472),x93476))))
% 119.46/119.25 [9946]~E(f313(f296(x99462,x99464,x99466),f230(f890(x99462,a881))),f230(f890(x99464,a881)))+~E(f313(f296(x99461,x99463,x99465),f230(f890(x99461,a881))),f230(f890(x99463,a881)))+E(f313(f296(f889(x99461,x99462),f889(x99463,x99464),f246(x99461,x99463,x99462,x99464,x99465,x99466)),f230(f890(f889(x99461,x99462),a881))),f230(f890(f889(x99463,x99464),a881)))
% 119.46/119.25 [10006]~P24(x100063,x100064,x100065,f313(x100066,f534(x100066,x100065,x100064,x100063,x100062,x100061)))+P24(x100063,x100064,x100065,f313(f313(f32(x100062,f890(x100063,a881)),x100061),x100066))+E(x100061,f178(f890(x100062,a881)))
% 119.46/119.25 [10063]P24(x100636,x100635,x100634,f313(f313(f32(x100632,f890(x100636,a881)),x100631),x100633))+E(x100631,f178(f890(x100632,a881)))+P1(f313(f313(f315(x100632),f534(x100633,x100634,x100635,x100636,x100632,x100631)),x100631))
% 119.46/119.25 [10069]P1(f313(f313(f315(x100691),f586(x100692,x100693,x100694,x100695,x100696,x100691)),x100696))+P1(f313(f313(f222(f890(f889(x100691,x100694),a881)),f313(f313(f242(x100691,x100694),x100696),x100693)),f313(f313(f242(x100691,x100694),x100695),x100692)))+~P1(f313(f313(f222(f890(x100691,a881)),x100696),x100695))
% 119.46/119.25 [10192]~P1(f313(f313(f222(f890(x101922,a881)),f313(x101924,f586(x101926,x101924,x101922,x101925,x101923,x101921))),f313(x101926,f586(x101926,x101924,x101922,x101925,x101923,x101921))))+~P1(f313(f313(f222(f890(x101921,a881)),x101923),x101925))+P1(f313(f313(f222(f890(f889(x101921,x101922),a881)),f313(f313(f242(x101921,x101922),x101923),x101924)),f313(f313(f242(x101921,x101922),x101925),x101926)))
% 119.46/119.25 [7832]~P1(f313(x78321,x78325))+~P1(f313(x78326,x78324))+P1(f313(x78321,f313(f244(x78322,x78323),f313(f313(f240(x78322,x78323),x78324),x78325))))
% 119.46/119.25 [7833]~P1(f313(x78331,x78334))+~P1(f313(x78336,x78335))+P1(f313(x78331,f313(f239(x78332,x78333),f313(f313(f240(x78332,x78333),x78334),x78335))))
% 119.46/119.25 [7880]~P1(f313(f313(x78804,x78806),x78805))+~P1(f313(f313(f315(x78801),x78806),x78803))+P1(f313(f313(f313(f33(x78801,f890(x78802,a881)),x78803),x78804),x78805))
% 119.46/119.25 [7881]~P1(f313(f313(x78814,x78816),x78815))+~P1(f313(f313(f315(x78811),x78816),x78813))+P1(f313(f313(f313(f33(x78811,f890(x78812,a881)),x78813),x78814),x78815))
% 119.46/119.25 [8187]~P1(f313(f313(f315(x81871),x81872),f313(x81875,x81876)))+~P1(f313(f313(f315(x81873),x81876),x81874))+P1(f313(f313(f315(x81871),x81872),f313(f313(f33(x81873,f890(x81871,a881)),x81874),x81875)))
% 119.46/119.25 [8188]~P1(f313(f313(f315(x81881),x81882),f313(x81885,x81886)))+~P1(f313(f313(f315(x81883),x81886),x81884))+P1(f313(f313(f315(x81881),x81882),f313(f313(f33(x81883,f890(x81881,a881)),x81884),x81885)))
% 119.46/119.25 [8231]P1(f313(f313(x82311,x82312),x82313))+~P1(f313(f313(x82314,x82312),x82313))+~P1(f313(f313(f222(f890(x82315,f890(x82316,a881))),x82314),x82311))
% 119.46/119.25 [8232]P1(f313(f313(x82321,x82322),x82323))+~P1(f313(f313(x82324,x82322),x82323))+~P1(f313(f313(f222(f890(x82325,f890(x82326,a881))),x82324),x82321))
% 119.46/119.25 [8369]P1(f313(f313(x83691,x83692),x83693))+~P1(f313(f313(f315(x83694),x83692),x83695))+~P1(f313(f313(f313(f32(x83694,f890(x83696,a881)),x83695),x83691),x83693))
% 119.46/119.25 [8370]P1(f313(f313(x83701,x83702),x83703))+~P1(f313(f313(f315(x83704),x83702),x83705))+~P1(f313(f313(f313(f32(x83704,f890(x83706,a881)),x83705),x83701),x83703))
% 119.46/119.25 [8371]P1(f313(f313(x83711,x83712),x83713))+~P1(f313(f313(f315(x83714),x83712),x83715))+~P1(f313(f313(f313(f32(x83714,f890(x83716,a881)),x83715),x83711),x83713))
% 119.46/119.25 [8502]P1(f313(f313(f315(x85021),x85022),f313(x85023,x85024)))+~P1(f313(f313(f315(x85025),x85024),x85026))+~P1(f313(f313(f315(x85021),x85022),f313(f313(f32(x85025,f890(x85021,a881)),x85026),x85023)))
% 119.46/119.25 [8503]P1(f313(f313(f315(x85031),x85032),f313(x85033,x85034)))+~P1(f313(f313(f315(x85035),x85034),x85036))+~P1(f313(f313(f315(x85031),x85032),f313(f313(f32(x85035,f890(x85031,a881)),x85036),x85033)))
% 119.46/119.25 [8504]P1(f313(f313(f315(x85041),x85042),f313(x85043,x85044)))+~P1(f313(f313(f315(x85045),x85044),x85046))+~P1(f313(f313(f315(x85041),x85042),f313(f313(f32(x85045,f890(x85041,a881)),x85046),x85043)))
% 119.46/119.25 [8759]~P11(x87594,x87595,x87596,x87591)+E(f313(x87591,x87592),f313(x87591,x87593))+~P1(f313(f313(f315(f889(x87594,x87594)),f313(f313(f240(x87594,x87594),x87592),x87593)),x87596))
% 119.46/119.25 [8790]P1(f313(f313(f222(f890(x87901,a881)),x87902),f313(x87903,x87904)))+~P1(f313(f313(f315(x87905),x87904),x87906))+~P1(f313(f313(f222(f890(x87901,a881)),x87902),f313(f313(f32(x87905,f890(x87901,a881)),x87906),x87903)))
% 119.46/119.25 [8820]~P57(x88203,x88204,f313(f272(x88204,x88203),x88205))+E(x88201,f178(f890(x88202,a881)))+E(f313(f313(f32(x88202,f890(x88203,a881)),x88201),f313(f313(f10(f890(x88204,a881),f890(x88203,a881),x88202),f271(x88204,x88203,x88205)),x88206)),f313(f271(x88204,x88203,x88205),f313(f313(f32(x88202,f890(x88204,a881)),x88201),x88206)))
% 119.46/119.25 [8893]P1(f313(f313(f315(x88931),x88932),f313(f271(x88933,x88931,x88934),x88935)))+~P1(f313(f313(f315(x88933),x88936),x88935))+~P1(f313(f313(f315(f889(x88933,x88931)),f313(f313(f240(x88933,x88931),x88936),x88932)),x88934))
% 119.46/119.25 [8894]P1(f313(f313(f315(x88941),x88942),f313(f271(x88943,x88941,x88944),x88945)))+~P1(f313(f313(f315(x88943),x88946),x88945))+~P1(f313(f313(f315(f889(x88943,x88941)),f313(f313(f240(x88943,x88941),x88946),x88942)),x88944))
% 119.46/119.25 [9200]P1(f313(f313(f222(f890(x92001,a881)),f313(f271(x92002,x92001,x92003),x92004)),f313(f271(x92002,x92001,x92005),x92006)))+~P1(f313(f313(f222(f890(x92002,a881)),x92004),x92006))+~P1(f313(f313(f222(f890(f889(x92002,x92001),a881)),x92003),x92005))
% 119.46/119.25 [9385]~P1(f313(f313(f315(x93852),x93856),x93854))+~P1(f313(f313(f222(f890(x93851,a881)),x93853),x93855))+P1(f313(f313(f222(f890(f889(x93851,x93852),a881)),f313(f313(f242(x93851,x93852),x93853),f313(f18(f890(x93852,a881),x93851),x93854))),f313(f313(f242(x93851,x93852),x93855),f313(f18(f890(x93852,a881),x93851),x93854))))
% 119.46/119.25 [9397]~P33(x93971,x93972,x93973,x93975,x93976)+P1(f313(f313(f245(x93971,x93972,a881),x93973),x93974))+~P1(f313(f313(f315(f889(x93971,x93972)),x93974),f313(f160(f889(x93971,x93972)),f313(f313(f169(x93971,x93972),x93975),x93976))))
% 119.46/119.25 [9542]~E(x95423,x95425)+P1(f313(f313(f315(f889(f885(x95421),f885(x95421))),f313(f313(f240(f885(x95421),f885(x95421)),f313(f313(f139(x95421),x95422),x95423)),f313(f313(f139(x95421),x95424),x95425))),f145(x95421,x95426)))+~P1(f313(f313(f315(f889(x95421,x95421)),f313(f313(f240(x95421,x95421),x95422),x95424)),x95426))
% 119.46/119.25 [9547]~E(f313(f179(f885(x95471)),x95473),f313(f179(f885(x95471)),x95475))+P1(f313(f313(f315(f889(f885(x95471),f885(x95471))),f313(f313(f240(f885(x95471),f885(x95471)),f313(f313(f139(x95471),x95472),x95473)),f313(f313(f139(x95471),x95474),x95475))),f133(x95471,x95476)))+~P1(f313(f313(f315(f889(x95471,x95471)),f313(f313(f240(x95471,x95471),x95472),x95474)),x95476))
% 119.46/119.25 [9575]P1(f313(f313(f315(f889(x95751,x95751)),f313(f313(f240(x95751,x95751),x95752),x95753)),f313(f313(f171(f889(x95751,x95751),a881),f313(a103,x95754)),x95755)))+~P1(f313(f313(f315(f889(x95751,x95751)),f313(f313(f240(x95751,x95751),x95756),x95753)),x95755))+~P1(f313(f313(f315(f889(x95751,x95751)),f313(f313(f240(x95751,x95751),x95752),x95756)),f313(f313(f171(f889(x95751,x95751),a881),x95754),x95755)))
% 119.46/119.25 [9576]P1(f313(f313(f315(f889(x95761,x95761)),f313(f313(f240(x95761,x95761),x95762),x95763)),f313(f313(f171(f889(x95761,x95761),a881),f313(a103,x95764)),x95765)))+~P1(f313(f313(f315(f889(x95761,x95761)),f313(f313(f240(x95761,x95761),x95762),x95766)),x95765))+~P1(f313(f313(f315(f889(x95761,x95761)),f313(f313(f240(x95761,x95761),x95766),x95763)),f313(f313(f171(f889(x95761,x95761),a881),x95764),x95765)))
% 119.46/119.25 [9579]~P1(f313(f313(f315(x95794),x95795),x95796))+P1(f313(f313(f222(f890(x95791,a881)),x95792),x95793))+~P1(f313(f313(f222(f890(f889(x95791,x95794),a881)),f313(f313(f242(x95791,x95794),x95792),f313(f18(f890(x95794,a881),x95791),x95796))),f313(f313(f242(x95791,x95794),x95793),f313(f18(f890(x95794,a881),x95791),x95796))))
% 119.46/119.25 [9623]E(x96231,x96232)+~P1(f313(f313(f315(f889(f885(x96233),f885(x96233))),f313(f313(f240(f885(x96233),f885(x96233)),f313(f313(f139(x96233),x96231),x96235)),f313(f313(f139(x96233),x96232),x96236))),f133(x96233,x96234)))+P1(f313(f313(f315(f889(x96233,x96233)),f313(f313(f240(x96233,x96233),x96231),x96232)),x96234))
% 119.46/119.25 [9624]E(x96241,x96242)+~P1(f313(f313(f315(f889(f885(x96243),f885(x96243))),f313(f313(f240(f885(x96243),f885(x96243)),f313(f313(f139(x96243),x96241),x96245)),f313(f313(f139(x96243),x96242),x96246))),f135(x96243,x96244)))+P1(f313(f313(f315(f889(x96243,x96243)),f313(f313(f240(x96243,x96243),x96241),x96242)),x96244))
% 119.46/119.25 [9625]E(x96251,x96252)+~P1(f313(f313(f315(f889(f885(x96253),f885(x96253))),f313(f313(f240(f885(x96253),f885(x96253)),f313(f313(f139(x96253),x96251),x96255)),f313(f313(f139(x96253),x96252),x96256))),f145(x96253,x96254)))+P1(f313(f313(f315(f889(x96253,x96253)),f313(f313(f240(x96253,x96253),x96251),x96252)),x96254))
% 119.46/119.25 [9661]P1(f313(f313(f315(f889(f885(x96611),f885(x96611))),f313(f313(f240(f885(x96611),f885(x96611)),f313(f313(f139(x96611),x96612),x96613)),f313(f313(f139(x96611),x96614),x96615))),f146(x96611,x96616)))+~P1(f313(f313(f315(f889(f885(x96611),f885(x96611))),f313(f313(f240(f885(x96611),f885(x96611)),x96613),x96615)),f146(x96611,x96616)))+~P1(f313(f313(f315(f889(x96611,x96611)),f313(f313(f240(x96611,x96611),x96612),x96614)),x96616))
% 119.46/119.25 [9679]P1(f313(x96791,x96792))+~P1(f313(x96791,f355(x96791,x96793,x96794,x96795,x96796)))+~P1(f313(f313(f315(x96796),x96792),f313(f313(f33(x96795,f890(x96796,a881)),x96794),x96793)))
% 119.46/119.25 [9684]~P1(f313(f313(f315(f889(f885(x96841),f885(x96841))),f313(f313(f240(f885(x96841),f885(x96841)),f313(f313(f139(x96841),x96842),x96845)),f313(f313(f139(x96841),x96843),x96846))),f133(x96841,x96844)))+P1(f313(f313(f315(f889(f885(x96841),f885(x96841))),f313(f313(f240(f885(x96841),f885(x96841)),x96845),x96846)),f133(x96841,x96844)))+P1(f313(f313(f315(f889(x96841,x96841)),f313(f313(f240(x96841,x96841),x96842),x96843)),x96844))
% 119.46/119.25 [9685]~P1(f313(f313(f315(f889(f885(x96851),f885(x96851))),f313(f313(f240(f885(x96851),f885(x96851)),f313(f313(f139(x96851),x96852),x96855)),f313(f313(f139(x96851),x96853),x96856))),f135(x96851,x96854)))+P1(f313(f313(f315(f889(f885(x96851),f885(x96851))),f313(f313(f240(f885(x96851),f885(x96851)),x96855),x96856)),f135(x96851,x96854)))+P1(f313(f313(f315(f889(x96851,x96851)),f313(f313(f240(x96851,x96851),x96852),x96853)),x96854))
% 119.46/119.25 [9686]~P1(f313(f313(f315(f889(f885(x96861),f885(x96861))),f313(f313(f240(f885(x96861),f885(x96861)),f313(f313(f139(x96861),x96862),x96865)),f313(f313(f139(x96861),x96863),x96866))),f145(x96861,x96864)))+P1(f313(f313(f315(f889(f885(x96861),f885(x96861))),f313(f313(f240(f885(x96861),f885(x96861)),x96865),x96866)),f145(x96861,x96864)))+P1(f313(f313(f315(f889(x96861,x96861)),f313(f313(f240(x96861,x96861),x96862),x96863)),x96864))
% 119.46/119.25 [9773]P1(f313(x97731,x97732))+P1(f313(f313(f315(x97733),f356(x97731,x97734,x97735,x97733,x97736)),x97735))+~P1(f313(f313(f315(x97736),x97732),f313(f313(f33(x97733,f890(x97736,a881)),x97735),x97734)))
% 119.46/119.25 [9784]~E(x97842,x97844)+P1(f313(f313(f315(f889(f885(x97841),f885(x97841))),f313(f313(f240(f885(x97841),f885(x97841)),f313(f313(f122(x97841),x97842),f313(f313(f139(x97841),x97843),f104(x97841)))),f313(f313(f122(x97841),x97844),f313(f313(f139(x97841),x97845),f104(x97841))))),f145(x97841,x97846)))+~P1(f313(f313(f315(f889(x97841,x97841)),f313(f313(f240(x97841,x97841),x97843),x97845)),x97846))
% 119.46/119.25 [9872]E(x98721,x98722)+~P1(f313(f313(f315(f889(f885(x98723),f885(x98723))),f313(f313(f240(f885(x98723),f885(x98723)),f313(f313(f122(x98723),x98725),f313(f313(f139(x98723),x98721),f104(x98723)))),f313(f313(f122(x98723),x98726),f313(f313(f139(x98723),x98722),f104(x98723))))),f145(x98723,x98724)))+P1(f313(f313(f315(f889(x98723,x98723)),f313(f313(f240(x98723,x98723),x98721),x98722)),x98724))
% 119.46/119.25 [9901]~P1(f313(f313(f315(f889(f885(x99011),f885(x99011))),f313(f313(f240(f885(x99011),f885(x99011)),f313(f313(f122(x99011),x99015),f313(f313(f139(x99011),x99012),f104(x99011)))),f313(f313(f122(x99011),x99016),f313(f313(f139(x99011),x99013),f104(x99011))))),f145(x99011,x99014)))+P1(f313(f313(f315(f889(f885(x99011),f885(x99011))),f313(f313(f240(f885(x99011),f885(x99011)),x99015),x99016)),f145(x99011,x99014)))+P1(f313(f313(f315(f889(x99011,x99011)),f313(f313(f240(x99011,x99011),x99012),x99013)),x99014))
% 119.46/119.25 [9918]P1(f313(x99181,x99182))+P1(f313(f313(f315(x99183),f355(x99181,x99184,x99185,x99186,x99183)),f313(x99184,f356(x99181,x99184,x99185,x99186,x99183))))+~P1(f313(f313(f315(x99183),x99182),f313(f313(f33(x99186,f890(x99183,a881)),x99185),x99184)))
% 119.46/119.25 [8915]~P16(x89153,x89154,x89151)+~P1(f313(f54(x89153),x89156))+E(f313(f313(x89151,x89152),f313(f313(f57(x89153,x89154,x89151),x89155),f313(f313(f3(f890(x89153,a881)),x89156),f313(f313(f295(x89153),x89152),f178(f890(x89153,a881)))))),f313(f313(f57(x89153,x89154,x89151),x89155),f313(f313(f295(x89153),x89152),x89156)))
% 119.46/119.25 [9209]~P1(f313(f313(f315(x92095),x92093),x92096))+P1(f313(f313(f222(f890(x92091,a881)),f313(x92092,x92093)),x92094))+~P1(f313(f313(f222(f890(x92091,a881)),f313(f313(f33(x92095,f890(x92091,a881)),x92096),x92092)),x92094))
% 119.46/119.25 [9847]~P8(x98471,x98475,x98474)+P1(f313(f313(f315(f889(x98471,x98471)),f313(f313(f240(x98471,x98471),x98472),x98473)),x98474))+~P1(f313(f313(f315(x98471),x98476),f313(f313(f93(f890(x98471,a881)),f313(f271(x98471,x98471,x98474),f313(f313(f295(x98471),x98472),f178(f890(x98471,a881))))),f313(f271(x98471,x98471,x98474),f313(f313(f295(x98471),x98473),f178(f890(x98471,a881)))))))
% 119.46/119.25 [8660]~P145(x86602)+~E(f313(f313(f73(x86602),f313(f313(f74(x86602),x86604),x86605)),x86601),f313(f313(f73(x86602),f313(f313(f74(x86602),x86603),x86605)),x86606))+E(x86601,f313(f313(f73(x86602),f313(f313(f74(x86602),f313(f313(f3(x86602),x86603),x86604)),x86605)),x86606))
% 119.46/119.25 [8661]~P145(x86611)+~E(f313(f313(f73(x86611),f313(f313(f74(x86611),x86612),x86614)),x86615),f313(f313(f73(x86611),f313(f313(f74(x86611),x86613),x86614)),x86616))+E(f313(f313(f73(x86611),f313(f313(f74(x86611),f313(f313(f3(x86611),x86612),x86613)),x86614)),x86615),x86616)
% 119.46/119.25 [8823]~P145(x88231)+E(f313(f313(f73(x88231),f313(f313(f74(x88231),x88232),x88233)),x88234),f313(f313(f73(x88231),f313(f313(f74(x88231),x88235),x88233)),x88236))+~E(x88236,f313(f313(f73(x88231),f313(f313(f74(x88231),f313(f313(f3(x88231),x88232),x88235)),x88233)),x88234))
% 119.46/119.25 [8824]~P145(x88241)+E(f313(f313(f73(x88241),f313(f313(f74(x88241),x88242),x88243)),x88244),f313(f313(f73(x88241),f313(f313(f74(x88241),x88245),x88243)),x88246))+~E(f313(f313(f73(x88241),f313(f313(f74(x88241),f313(f313(f3(x88241),x88242),x88245)),x88243)),x88244),x88246)
% 119.46/119.25 [9146]~P1(f313(f313(x91464,x91465),x91466))+~P1(f313(f313(x91463,x91465),x91466))+P1(f313(f313(f313(f313(f93(f890(x91461,f890(x91462,a881))),x91463),x91464),x91465),x91466))
% 119.46/119.25 [9405]P1(f313(f313(x94051,x94052),x94053))+P1(f313(f313(x94054,x94052),x94053))+~P1(f313(f313(f313(f313(f92(f890(x94055,f890(x94056,a881))),x94054),x94051),x94052),x94053))
% 119.46/119.25 [9701]~P140(x97011)+~P1(f313(f313(f222(x97011),f313(f313(f73(x97011),f313(f313(f74(x97011),x97014),x97015)),x97012)),f313(f313(f73(x97011),f313(f313(f74(x97011),x97013),x97015)),x97016)))+P1(f313(f313(f222(x97011),x97012),f313(f313(f73(x97011),f313(f313(f74(x97011),f313(f313(f3(x97011),x97013),x97014)),x97015)),x97016)))
% 119.46/119.25 [9702]~P140(x97021)+~P1(f313(f313(f223(x97021),f313(f313(f73(x97021),f313(f313(f74(x97021),x97024),x97025)),x97022)),f313(f313(f73(x97021),f313(f313(f74(x97021),x97023),x97025)),x97026)))+P1(f313(f313(f223(x97021),x97022),f313(f313(f73(x97021),f313(f313(f74(x97021),f313(f313(f3(x97021),x97023),x97024)),x97025)),x97026)))
% 119.46/119.25 [9725]~P140(x97251)+P1(f313(f313(f222(x97251),f313(f313(f73(x97251),f313(f313(f74(x97251),x97252),x97253)),x97254)),f313(f313(f73(x97251),f313(f313(f74(x97251),x97255),x97253)),x97256)))+~P1(f313(f313(f222(x97251),x97254),f313(f313(f73(x97251),f313(f313(f74(x97251),f313(f313(f3(x97251),x97255),x97252)),x97253)),x97256)))
% 119.46/119.25 [9726]~P140(x97261)+P1(f313(f313(f223(x97261),f313(f313(f73(x97261),f313(f313(f74(x97261),x97262),x97263)),x97264)),f313(f313(f73(x97261),f313(f313(f74(x97261),x97265),x97263)),x97266)))+~P1(f313(f313(f223(x97261),x97264),f313(f313(f73(x97261),f313(f313(f74(x97261),f313(f313(f3(x97261),x97265),x97262)),x97263)),x97266)))
% 119.46/119.25 [9839]~P140(x98391)+~P1(f313(f313(f222(x98391),f313(f313(f73(x98391),f313(f313(f74(x98391),x98392),x98394)),x98395)),f313(f313(f73(x98391),f313(f313(f74(x98391),x98393),x98394)),x98396)))+P1(f313(f313(f222(x98391),f313(f313(f73(x98391),f313(f313(f74(x98391),f313(f313(f3(x98391),x98392),x98393)),x98394)),x98395)),x98396))
% 119.46/119.25 [9840]~P140(x98401)+~P1(f313(f313(f223(x98401),f313(f313(f73(x98401),f313(f313(f74(x98401),x98402),x98404)),x98405)),f313(f313(f73(x98401),f313(f313(f74(x98401),x98403),x98404)),x98406)))+P1(f313(f313(f223(x98401),f313(f313(f73(x98401),f313(f313(f74(x98401),f313(f313(f3(x98401),x98402),x98403)),x98404)),x98405)),x98406))
% 119.46/119.25 [9884]~P140(x98841)+P1(f313(f313(f222(x98841),f313(f313(f73(x98841),f313(f313(f74(x98841),x98842),x98843)),x98844)),f313(f313(f73(x98841),f313(f313(f74(x98841),x98845),x98843)),x98846)))+~P1(f313(f313(f222(x98841),f313(f313(f73(x98841),f313(f313(f74(x98841),f313(f313(f3(x98841),x98842),x98845)),x98843)),x98844)),x98846))
% 119.46/119.25 [9885]~P140(x98851)+P1(f313(f313(f223(x98851),f313(f313(f73(x98851),f313(f313(f74(x98851),x98852),x98853)),x98854)),f313(f313(f73(x98851),f313(f313(f74(x98851),x98855),x98853)),x98856)))+~P1(f313(f313(f223(x98851),f313(f313(f73(x98851),f313(f313(f74(x98851),f313(f313(f3(x98851),x98852),x98855)),x98853)),x98854)),x98856))
% 119.46/119.25 [10057]~P79(x100572)+~P1(f313(f54(x100571),x100576))+E(f313(f313(f8(x100571,x100572),f313(f313(f20(x100571,x100572,x100572),f313(f313(f20(x100571,x100572,f890(x100572,x100572)),f313(f313(f10(a881,f890(x100572,f890(x100572,x100572)),x100571),f84(x100572)),x100573)),x100574)),x100575)),x100576),f313(f313(f73(x100572),f313(f313(f8(x100571,x100572),x100574),f313(f313(f93(f890(x100571,a881)),x100576),f313(f250(x100571),x100573)))),f313(f313(f8(x100571,x100572),x100575),f313(f313(f93(f890(x100571,a881)),x100576),f313(f72(f890(x100571,a881)),f313(f250(x100571),x100573))))))
% 119.46/119.25 [10119]P1(f313(f313(f315(x101192),x101194),x101196))+P1(f313(f313(f315(x101192),x101195),x101196))+E(f313(f297(x101191,x101192,f313(f313(f9(x101191,x101192,x101192),f313(f313(f9(x101191,x101192,f890(x101192,x101192)),f313(f313(f10(a881,f890(x101192,f890(x101192,x101192)),x101191),f84(x101192)),f313(f313(f9(x101191,f890(x101191,a881),a881),f315(x101191)),x101193))),x101194)),x101195)),x101196),f178(f890(x101191,a881)))
% 119.46/119.25 [10120]P1(f313(f313(f315(x101202),x101205),x101206))+~P1(f313(f313(f315(x101202),x101204),x101206))+E(f313(f297(x101201,x101202,f313(f313(f9(x101201,x101202,x101202),f313(f313(f9(x101201,x101202,f890(x101202,x101202)),f313(f313(f10(a881,f890(x101202,f890(x101202,x101202)),x101201),f84(x101202)),f313(f313(f9(x101201,f890(x101201,a881),a881),f315(x101201)),x101203))),x101204)),x101205)),x101206),x101203)
% 119.46/119.25 [10121]P1(f313(f313(f315(x101212),x101214),x101216))+~P1(f313(f313(f315(x101212),x101215),x101216))+E(f313(f297(x101211,x101212,f313(f313(f9(x101211,x101212,x101212),f313(f313(f9(x101211,x101212,f890(x101212,x101212)),f313(f313(f10(a881,f890(x101212,f890(x101212,x101212)),x101211),f84(x101212)),f313(f313(f9(x101211,f890(x101211,a881),a881),f315(x101211)),x101213))),x101214)),x101215)),x101216),f313(f72(f890(x101211,a881)),x101213))
% 119.46/119.25 [10122]~P1(f313(f313(f315(x101222),x101224),x101226))+~P1(f313(f313(f315(x101222),x101225),x101226))+E(f313(f297(x101221,x101222,f313(f313(f9(x101221,x101222,x101222),f313(f313(f9(x101221,x101222,f890(x101222,x101222)),f313(f313(f10(a881,f890(x101222,f890(x101222,x101222)),x101221),f84(x101222)),f313(f313(f9(x101221,f890(x101221,a881),a881),f315(x101221)),x101223))),x101224)),x101225)),x101226),f230(f890(x101221,a881)))
% 119.46/119.25 [8690]E(x86901,x86902)+~P59(x86904,x86905,x86903,x86906,x86907)+~E(f313(x86903,x86901),f313(x86903,x86902))
% 119.46/119.25 [8716]~P10(x87166,x87165,x87167,x87164,x87161)+E(f313(f313(x87161,x87162),x87163),x87164)+P1(f313(f54(x87165),x87163))
% 119.46/119.25 [8717]~P10(x87176,x87175,x87177,x87174,x87171)+E(f313(f313(x87171,x87172),x87173),x87174)+P1(f313(f54(x87175),x87173))
% 119.46/119.25 [9567]P42(x95671,x95672,x95673,x95674,x95675,f313(f313(x95673,x95676),x95677))+~E(f313(f313(x95673,x95676),x95677),x95674)+~E(x95675,f178(f890(x95671,a881)))
% 119.46/119.25 [9748]~P1(f313(x97486,x97483))+~P1(f313(f313(f315(f889(x97482,x97482)),f313(f313(f240(x97482,x97482),x97484),x97485)),f313(x97487,x97483)))+P1(f313(f313(f315(f889(f889(x97481,x97482),f889(x97481,x97482))),f313(f313(f240(f889(x97481,x97482),f889(x97481,x97482)),f313(f313(f240(x97481,x97482),x97483),x97484)),f313(f313(f240(x97481,x97482),x97483),x97485))),f266(x97481,x97482,x97486,x97487)))
% 119.46/119.25 [10178]~P42(x101782,x101787,x101783,x101786,x101781,f313(f313(x101783,x101785),x101784))+E(f313(f313(x101783,f411(x101784,x101785,x101781,x101786,x101783,x101787,x101782)),f412(x101784,x101785,x101781,x101786,x101783,x101787,x101782)),f313(f313(x101783,x101785),x101784))+E(x101781,f178(f890(x101782,a881)))
% 119.46/119.25 [10179]~P42(x101797,x101796,x101791,x101794,x101795,f313(f313(x101791,x101792),x101793))+E(f313(f313(x101791,f411(x101793,x101792,x101795,x101794,x101791,x101796,x101797)),f412(x101793,x101792,x101795,x101794,x101791,x101796,x101797)),f313(f313(x101791,x101792),x101793))+E(f313(f313(x101791,x101792),x101793),x101794)
% 119.46/119.25 [9244]~P33(x92441,x92442,x92443,x92445,x92447)+P33(x92441,x92442,x92443,f313(f313(f139(x92441),x92444),x92445),f313(f313(f139(x92442),x92446),x92447))+~P1(f313(f313(x92443,x92444),x92446))
% 119.46/119.25 [9261]P33(x92611,x92612,x92613,x92614,x92615)+~P33(x92611,x92612,x92613,f313(f313(f122(x92611),x92616),x92614),f313(f313(f122(x92612),x92617),x92615))+~E(f313(f179(f885(x92611)),x92616),f313(f179(f885(x92612)),x92617))
% 119.46/119.25 [9262]P33(x92621,x92622,x92623,x92624,x92625)+~P33(x92621,x92622,x92623,f313(f313(f122(x92621),x92624),x92626),f313(f313(f122(x92622),x92625),x92627))+~E(f313(f179(f885(x92621)),x92624),f313(f179(f885(x92622)),x92625))
% 119.46/119.25 [9470]~P33(x94701,x94702,x94703,x94705,x94707)+~P33(x94701,x94702,x94703,x94704,x94706)+P33(x94701,x94702,x94703,f313(f313(f122(x94701),x94704),x94705),f313(f313(f122(x94702),x94706),x94707))
% 119.46/119.25 [9827]~P1(f313(f59(x98271,x98274,x98275,x98276,x98273),x98277))+P1(f313(f59(x98271,x98274,x98275,x98276,f313(f313(f295(x98271),x98272),x98273)),f313(f313(x98275,x98272),x98277)))+P1(f313(f313(f315(x98271),x98272),x98273))
% 119.46/119.25 [10207]~P42(x102072,x102077,x102076,x102075,x102071,f313(f313(x102076,x102074),x102073))+E(x102071,f178(f890(x102072,a881)))+P1(f313(f313(f315(x102072),f411(x102073,x102074,x102071,x102075,x102076,x102077,x102072)),x102071))
% 119.46/119.25 [10208]~P42(x102085,x102087,x102081,x102084,x102086,f313(f313(x102081,x102082),x102083))+E(f313(f313(x102081,x102082),x102083),x102084)+P1(f313(f313(f315(x102085),f411(x102083,x102082,x102086,x102084,x102081,x102087,x102085)),x102086))
% 119.46/119.25 [8942]~P21(x89424,x89425,x89426,x89427,x89421)+~P1(f313(f54(x89425),x89423))+E(f313(f313(x89421,x89422),x89423),f313(f313(f313(f58(x89424,x89425,x89426),x89422),x89427),x89423))
% 119.46/119.25 [8943]~P10(x89434,x89435,x89436,x89437,x89431)+~P1(f313(f54(x89435),x89433))+E(f313(f313(x89431,x89432),x89433),f313(f313(f313(f58(x89434,x89435,x89436),x89432),x89437),x89433))
% 119.46/119.25 [9720]~P23(x97203,x97204,x97205,x97207,x97206,x97201)+~P1(f313(f54(x97204),x97202))+E(f313(x97201,x97202),f313(f313(f313(f58(x97203,x97204,x97205),x97206),x97207),x97202))
% 119.46/119.25 [9879]P42(x98791,x98792,x98793,x98794,x98795,f313(f313(x98793,x98796),x98797))+~P42(x98791,x98792,x98793,x98794,f313(f313(f3(f890(x98791,a881)),x98795),f313(f313(f295(x98791),x98796),f178(f890(x98791,a881)))),x98797)+~P1(f313(f313(f315(x98791),x98796),x98795))
% 119.46/119.25 [10230]P1(f313(f313(x102307,f855(x102304,x102305,x102301,x102306,x102303,x102302,x102307)),f856(x102304,x102305,x102301,x102306,x102303,x102302,x102307)))+~P1(f313(f313(x102307,f313(f244(x102302,x102303),x102306)),f313(f239(x102302,x102303),x102306)))+P1(f313(x102301,f313(f313(f245(x102302,x102303,x102304),x102305),x102306)))
% 119.46/119.25 [10240]~P42(x102402,x102403,x102404,x102405,x102401,f313(f313(x102404,x102407),x102406))+P42(x102402,x102403,x102404,x102405,f313(f313(f3(f890(x102402,a881)),x102401),f313(f313(f295(x102402),f411(x102406,x102407,x102401,x102405,x102404,x102403,x102402)),f178(f890(x102402,a881)))),f412(x102406,x102407,x102401,x102405,x102404,x102403,x102402))+E(x102401,f178(f890(x102402,a881)))
% 119.46/119.25 [10241]~P42(x102415,x102416,x102411,x102414,x102417,f313(f313(x102411,x102412),x102413))+P42(x102415,x102416,x102411,x102414,f313(f313(f3(f890(x102415,a881)),x102417),f313(f313(f295(x102415),f411(x102413,x102412,x102417,x102414,x102411,x102416,x102415)),f178(f890(x102415,a881)))),f412(x102413,x102412,x102417,x102414,x102411,x102416,x102415))+E(f313(f313(x102411,x102412),x102413),x102414)
% 119.46/119.25 [10263]~P1(f313(x102631,f313(f313(x102635,f856(x102634,x102635,x102631,x102636,x102633,x102632,x102637)),f855(x102634,x102635,x102631,x102636,x102633,x102632,x102637))))+~P1(f313(f313(x102637,f313(f244(x102632,x102633),x102636)),f313(f239(x102632,x102633),x102636)))+P1(f313(x102631,f313(f313(f245(x102632,x102633,x102634),x102635),x102636)))
% 119.46/119.25 [9555]P1(f313(f313(f222(f890(f889(x95551,x95552),a881)),f313(f313(f275(x95551,x95553,x95552),x95554),x95555)),f313(f313(f275(x95551,x95553,x95552),x95556),x95557)))+~P1(f313(f313(f222(f890(f889(x95553,x95552),a881)),x95555),x95557))+~P1(f313(f313(f222(f890(f889(x95551,x95553),a881)),x95554),x95556))
% 119.46/119.25 [9890]~P1(f313(f313(f315(x98901),x98906),x98905))+P1(f313(f59(x98901,x98902,x98903,x98904,x98905),f313(f313(x98903,x98906),x98907)))+~P1(f313(f59(x98901,x98902,x98903,x98904,f313(f313(f3(f890(x98901,a881)),x98905),f313(f313(f295(x98901),x98906),f178(f890(x98901,a881))))),x98907))
% 119.46/119.25 [10297]~P146(x102971)+~P24(f889(x102972,x102973),x102971,f313(f245(x102972,x102973,x102971),f313(f313(f9(x102972,f890(x102973,x102971),f890(x102973,x102971)),f313(f313(f10(f890(x102971,x102971),f890(f890(x102973,x102971),f890(x102973,x102971)),x102972),f10(x102971,x102971,x102973)),f313(f313(f10(x102971,f890(x102971,x102971),x102972),f74(x102971)),x102974))),x102975)),f313(f313(f242(x102972,x102973),x102976),f313(f18(f890(x102973,a881),x102972),x102977)))+E(f313(f313(f8(x102971,x102971),f25(x102971)),f313(f250(x102971),f313(f313(f10(f890(x102972,a881),a881,x102971),f80(x102972)),f313(f313(f10(f890(x102972,f890(x102973,a881)),f890(x102972,a881),x102971),f313(f10(f890(x102973,a881),a881,x102972),f80(x102973))),f313(f313(f9(x102971,f890(x102972,f890(x102973,a881)),f890(x102972,f890(x102973,a881))),f313(f313(f10(f890(x102972,f890(f890(x102973,a881),f890(x102973,a881))),f890(f890(x102972,f890(x102973,a881)),f890(x102972,f890(x102973,a881))),x102971),f20(x102972,f890(x102973,a881),f890(x102973,a881))),f313(f313(f10(f890(x102972,f890(x102973,f890(a881,a881))),f890(x102972,f890(f890(x102973,a881),f890(x102973,a881))),x102971),f313(f10(f890(x102973,f890(a881,a881)),f890(f890(x102973,a881),f890(x102973,a881)),x102972),f20(x102973,a881,a881))),f313(f313(f10(f890(x102972,f890(x102973,a881)),f890(x102972,f890(x102973,f890(a881,a881))),x102971),f313(f10(f890(x102973,a881),f890(x102973,f890(a881,a881)),x102972),f313(f10(a881,f890(a881,a881),x102973),a311))),f313(f313(f9(x102971,f890(x102972,f890(x102973,x102971)),f890(x102972,f890(x102973,a881))),f313(f313(f10(f890(f890(x102973,x102971),f890(x102973,a881)),f890(f890(x102972,f890(x102973,x102971)),f890(x102972,f890(x102973,a881))),x102971),f10(f890(x102973,x102971),f890(x102973,a881),x102972)),f313(f313(f10(f890(x102971,a881),f890(f890(x102973,x102971),f890(x102973,a881)),x102971),f10(x102971,a881,x102973)),a310))),f313(f313(f9(x102972,f890(x102973,x102971),f890(x102973,x102971)),f313(f313(f10(f890(x102971,x102971),f890(f890(x102973,x102971),f890(x102973,x102971)),x102972),f10(x102971,x102971,x102973)),f313(f313(f10(x102971,f890(x102971,x102971),x102972),f74(x102971)),x102974))),x102975)))))),f313(f313(f9(x102972,f890(x102973,a881),f890(x102973,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x102973,a881),f890(x102973,a881)),x102972),f10(a881,a881,x102973)),f313(f313(f10(a881,f890(a881,a881),x102972),a311),f313(f313(f9(x102972,f890(x102972,a881),a881),f315(x102972)),x102976)))),f313(f313(f9(x102973,f890(x102973,a881),a881),f315(x102973)),x102977))))))),f313(f313(f74(x102971),f313(f313(f8(x102972,x102971),x102974),x102976)),f313(f313(f8(x102973,x102971),x102975),x102977)))
% 119.46/119.25 [9717]~P1(f313(f313(x97174,x97176),x97178))+~P1(f313(f313(x97175,x97178),x97177))+P1(f313(f313(f241(x97171,x97172,x97173,x97174,x97175),x97176),x97177))
% 119.46/119.25 [9718]~P1(f313(f313(x97184,x97186),x97188))+~P1(f313(f313(x97185,x97188),x97187))+P1(f313(f313(f241(x97181,x97182,x97183,x97184,x97185),x97186),x97187))
% 119.46/119.25 [9313]~P19(x93138,x93131,x93133,x93135)+~P1(f313(f54(x93138),x93136))+E(f313(f66(x93131,x93131,x93132,f313(x93133,x93134)),f313(f66(x93131,x93131,x93132,f313(x93135,x93136)),x93137)),f313(f66(x93131,x93131,x93132,f313(x93135,x93136)),f313(f66(x93131,x93131,x93132,f313(x93133,x93134)),x93137)))
% 119.46/119.25 [9708]~P22(x97087,x97082,x97085,x97088,x97086,x97081)+~P1(f313(f54(x97082),x97084))+E(f313(x97081,f313(f313(f295(x97082),x97083),x97084)),f313(f313(x97085,f313(x97086,x97083)),f313(x97081,x97084)))
% 119.46/119.25 [9836]~P24(x98362,x98364,x98366,x98368)+~P24(x98361,x98363,x98365,x98367)+P24(f889(x98361,x98362),f889(x98363,x98364),f246(x98361,x98363,x98362,x98364,x98365,x98366),f313(f313(f242(x98361,x98362),x98367),f313(f18(f890(x98362,a881),x98361),x98368)))
% 119.46/119.25 [9497]P1(f313(f313(f315(f889(x94971,x94972)),f313(f313(f240(x94971,x94972),x94973),x94974)),f313(f313(f275(x94971,x94975,x94972),x94976),x94977)))+~P1(f313(f313(f315(f889(x94971,x94975)),f313(f313(f240(x94971,x94975),x94973),x94978)),x94976))+~P1(f313(f313(f315(f889(x94975,x94972)),f313(f313(f240(x94975,x94972),x94978),x94974)),x94977))
% 119.46/119.25 [9689]~P1(f313(f313(f222(f890(f889(x96893,x96892),a881)),x96895),f313(f313(f242(x96893,x96892),x96898),f313(f18(f890(x96892,a881),x96893),x96897))))+~P1(f313(f313(f222(f890(f889(x96891,x96893),a881)),x96894),f313(f313(f242(x96891,x96893),x96896),f313(f18(f890(x96893,a881),x96891),x96898))))+P1(f313(f313(f222(f890(f889(x96891,x96892),a881)),f313(f313(f275(x96891,x96893,x96892),x96894),x96895)),f313(f313(f242(x96891,x96892),x96896),f313(f18(f890(x96892,a881),x96891),x96897))))
% 119.46/119.25 [9742]~E(x97423,x97425)+P1(f313(f313(f315(f889(f889(x97421,x97422),f889(x97421,x97422))),f313(f313(f240(f889(x97421,x97422),f889(x97421,x97422)),f313(f313(f240(x97421,x97422),x97423),x97424)),f313(f313(f240(x97421,x97422),x97425),x97426))),f305(x97421,x97422,x97427,x97428)))+~P1(f313(f313(f315(f889(x97422,x97422)),f313(f313(f240(x97422,x97422),x97424),x97426)),x97428))
% 119.46/119.25 [9856]E(x98561,x98562)+~P1(f313(f313(f315(f889(f889(x98563,x98565),f889(x98563,x98565))),f313(f313(f240(f889(x98563,x98565),f889(x98563,x98565)),f313(f313(f240(x98563,x98565),x98561),x98566)),f313(f313(f240(x98563,x98565),x98562),x98567))),f305(x98563,x98565,x98564,x98568)))+P1(f313(f313(f315(f889(x98563,x98563)),f313(f313(f240(x98563,x98563),x98561),x98562)),x98564))
% 119.46/119.25 [9871]~P1(f313(f313(f315(f889(f889(x98711,x98715),f889(x98711,x98715))),f313(f313(f240(f889(x98711,x98715),f889(x98711,x98715)),f313(f313(f240(x98711,x98715),x98712),x98716)),f313(f313(f240(x98711,x98715),x98713),x98717))),f305(x98711,x98715,x98714,x98718)))+P1(f313(f313(f315(f889(x98711,x98711)),f313(f313(f240(x98711,x98711),x98712),x98713)),x98714))+P1(f313(f313(f315(f889(x98715,x98715)),f313(f313(f240(x98715,x98715),x98716),x98717)),x98718))
% 119.46/119.25 [9774]~P23(x97747,x97745,x97741,x97748,x97742,x97744)+~P1(f313(f54(x97745),x97746))+E(f313(f313(x97741,f313(x97742,x97743)),f313(x97744,f313(f313(f3(f890(x97745,a881)),x97746),f313(f313(f295(x97745),x97743),f178(f890(x97745,a881)))))),f313(x97744,f313(f313(f295(x97745),x97743),x97746)))
% 119.46/119.25 [9267]~P1(f313(f313(f313(x92675,x92678),x92676),x92677))+~P1(f313(f313(f315(x92671),x92678),x92674))+P1(f313(f313(f313(f313(f33(x92671,f890(x92672,f890(x92673,a881))),x92674),x92675),x92676),x92677))
% 119.46/119.25 [9268]~P1(f313(f313(f313(x92685,x92688),x92686),x92687))+~P1(f313(f313(f315(x92681),x92688),x92684))+P1(f313(f313(f313(f313(f33(x92681,f890(x92682,f890(x92683,a881))),x92684),x92685),x92686),x92687))
% 119.46/119.25 [9479]P1(f313(f313(f313(x94791,x94792),x94793),x94794))+~P1(f313(f313(f315(x94795),x94792),x94796))+~P1(f313(f313(f313(f313(f32(x94795,f890(x94797,f890(x94798,a881))),x94796),x94791),x94793),x94794))
% 119.46/119.25 [9480]P1(f313(f313(f313(x94801,x94802),x94803),x94804))+~P1(f313(f313(f315(x94805),x94802),x94806))+~P1(f313(f313(f313(f313(f32(x94805,f890(x94807,f890(x94808,a881))),x94806),x94801),x94803),x94804))
% 119.46/119.25 [9481]P1(f313(f313(f313(x94811,x94812),x94813),x94814))+~P1(f313(f313(f315(x94815),x94812),x94816))+~P1(f313(f313(f313(f313(f32(x94815,f890(x94817,f890(x94818,a881))),x94816),x94811),x94813),x94814))
% 119.46/119.25 [9680]~P21(x96803,x96802,x96804,x96808,x96801)+~P1(f313(f54(x96802),x96807))+E(f313(f313(x96801,f313(f313(f20(x96802,x96803,x96803),f313(f313(f10(x96803,f890(x96803,x96803),x96802),x96804),x96805)),x96806)),x96807),f313(f313(x96804,f313(f313(x96801,x96805),x96807)),f313(f313(x96801,x96806),x96807)))
% 119.46/119.25 [9952]~E(f313(f296(x99522,x99524,x99526),x99528),x995210)+~E(f313(f296(x99521,x99523,x99525),x99527),x99529)+E(f313(f296(f889(x99521,x99522),f889(x99523,x99524),f246(x99521,x99523,x99522,x99524,x99525,x99526)),f313(f313(f242(x99521,x99522),x99527),f313(f18(f890(x99522,a881),x99521),x99528))),f313(f313(f242(x99523,x99524),x99529),f313(f18(f890(x99524,a881),x99523),x995210)))
% 119.46/119.25 [4837]~P50(x48371,x48372)+~P52(x48371,x48372)+~P53(x48371,x48372)+P7(x48371,x48372)
% 119.46/119.25 [4838]~P50(x48381,x48382)+~P52(x48381,x48382)+~P53(x48381,x48382)+P7(x48381,x48382)
% 119.46/119.25 [4794]~P4(x47942)+~P13(x47942,x47941)+P13(x47942,f105(x47942,x47941))+E(x47941,f104(x47942))
% 119.46/119.25 [4795]~P4(x47952)+~P13(x47952,x47951)+P13(x47952,f722(x47951,x47952))+E(x47951,f104(x47952))
% 119.46/119.25 [5043]~P5(x50432)+E(f12(x50432,x50431),f31(x50432,x50431))+E(x50431,f178(f890(x50432,a881)))+~P1(f313(f54(x50432),x50431))
% 119.46/119.25 [5044]~P5(x50442)+E(f15(x50442,x50441),f30(x50442,x50441))+E(x50441,f178(f890(x50442,a881)))+~P1(f313(f54(x50442),x50441))
% 119.46/119.25 [5210]~P4(x52102)+~P13(x52102,x52101)+E(x52101,f104(x52102))+E(f313(f313(f139(x52102),f741(x52101,x52102)),f722(x52101,x52102)),x52101)
% 119.46/119.25 [6036]~P103(x60362)+E(x60361,f178(f890(x60362,a881)))+P1(f313(f313(f222(x60362),f12(x60362,x60361)),f15(x60362,x60361)))+~P1(f313(f54(x60362),x60361))
% 119.46/119.25 [6047]~P40(x60472)+~P40(x60471)+E(x60471,x60472)+~E(f313(f296(a1,a883,a96),x60471),f313(f296(a1,a883,a96),x60472))
% 119.46/119.25 [9125]~P115(x91251)+~P1(f313(f313(f315(x91251),x91252),f101(x91251)))+P1(f313(f313(f223(x91251),f313(f313(f73(x91251),f313(f313(f73(x91251),f71(x91251)),x91252)),x91252)),f2(x91251)))+~P1(f313(f313(f223(x91251),x91252),f2(x91251)))
% 119.46/119.25 [9366]~P115(x93661)+~P1(f313(f313(f315(x93661),x93662),f101(x93661)))+~P1(f313(f313(f223(x93661),f313(f313(f73(x93661),f313(f313(f73(x93661),f71(x93661)),x93662)),x93662)),f2(x93661)))+P1(f313(f313(f223(x93661),x93662),f2(x93661)))
% 119.46/119.25 [4853]~P116(x48532)+~P146(x48532)+E(x48531,f2(a883))+E(f313(f313(f232(x48532),f2(x48532)),x48531),f2(x48532))
% 119.46/119.25 [4856]~P116(x48561)+~P146(x48561)+~E(x48562,f2(a883))+E(f313(f313(f232(x48561),f2(x48561)),x48562),f71(x48561))
% 119.46/119.25 [5029]~P138(x50292)+E(x50291,f71(x50292))+E(x50291,f313(f72(x50292),f71(x50292)))+~E(f313(f313(f74(x50292),x50291),x50291),f71(x50292))
% 119.46/119.25 [5288]~P92(x52882)+E(x52881,f2(x52882))+E(f75(x52882,x52881),f313(f72(x52882),f71(x52882)))+P1(f313(f313(f223(x52882),f2(x52882)),x52881))
% 119.46/119.25 [5483]~E(x54832,f71(a1))+~E(x54831,f71(a1))+E(f313(f313(f74(a1),x54831),x54832),f71(a1))+~P1(f313(f313(f223(a1),f2(a1)),x54831))
% 119.46/119.25 [5529]~P92(x55292)+E(f75(x55292,x55291),f71(x55292))+E(x55291,f2(x55292))+~P1(f313(f313(f223(x55292),f2(x55292)),x55291))
% 119.46/119.25 [5538]E(x55381,x55382)+~E(f313(f95(a883),x55381),f313(f95(a883),x55382))+P1(f313(a183,f313(f95(a1),x55382)))+P1(f313(a183,f313(f95(a1),x55381)))
% 119.46/119.25 [5589]~P97(x55891)+~E(x55892,f2(x55891))+E(f313(f313(f73(x55891),x55892),x55892),f2(x55891))+~P1(f313(f313(f315(x55891),x55892),f101(x55891)))
% 119.46/119.25 [5629]E(x56291,f2(a1))+~E(f313(f313(f29(a1),x56292),x56291),f2(a1))+P1(f313(f313(f223(a1),x56291),x56292))+P1(f313(f313(f223(a1),x56292),x56291))
% 119.46/119.25 [5660]E(x56601,f2(a1))+~E(f313(f313(f29(a1),x56602),x56601),f2(a1))+P1(f313(f313(f222(a1),x56602),f2(a1)))+P1(f313(f313(f223(a1),x56602),x56601))
% 119.46/119.25 [5694]E(x56941,f2(a1))+~E(f313(f313(f29(a1),x56942),x56941),f2(a1))+P1(f313(f313(f222(a1),f2(a1)),x56942))+P1(f313(f313(f223(a1),x56941),x56942))
% 119.46/119.25 [5728]E(x57281,f2(a1))+~E(f313(f313(f29(a1),x57282),x57281),f2(a1))+P1(f313(f313(f222(a1),x57282),f2(a1)))+P1(f313(f313(f222(a1),f2(a1)),x57282))
% 119.46/119.25 [5729]~P97(x57292)+E(x57291,f2(x57292))+~E(f313(f313(f73(x57292),x57291),x57291),f2(x57292))+~P1(f313(f313(f315(x57292),x57291),f101(x57292)))
% 119.46/119.25 [5800]E(f313(f95(a883),x58001),f313(f95(a883),x58002))+~E(f313(f95(a1),x58002),f2(a1))+P1(f313(a183,f313(f95(a1),x58002)))+~P1(f313(a183,f313(f95(a1),x58001)))
% 119.46/119.25 [5830]~E(f313(f95(a883),x58302),f313(f95(a883),x58301))+E(f313(f95(a1),x58301),f2(a1))+P1(f313(a183,f313(f95(a1),x58301)))+~P1(f313(a183,f313(f95(a1),x58302)))
% 119.46/119.25 [5839]~P4(x58392)+E(x58391,f178(f890(x58392,a881)))+~P1(f313(f54(x58392),x58391))+P1(f313(f313(f315(x58392),f16(x58392,x58391)),x58391))
% 119.46/119.25 [5840]~P4(x58402)+E(x58401,f178(f890(x58402,a881)))+~P1(f313(f54(x58402),x58401))+P1(f313(f313(f315(x58402),f17(x58402,x58401)),x58401))
% 119.46/119.25 [6013]~P115(x60131)+~P98(x60131)+P1(f313(f313(f222(x60131),f2(x60131)),f313(f95(x60131),x60132)))+~P1(f313(f313(f222(a1),a76),x60132))
% 119.46/119.25 [6014]~P115(x60141)+~P98(x60141)+P1(f313(f313(f223(x60141),f2(x60141)),f313(f95(x60141),x60142)))+~P1(f313(f313(f223(a1),a76),x60142))
% 119.46/119.25 [6035]~P115(x60351)+~P98(x60351)+E(f313(f69(x60351),f313(f95(x60351),x60352)),f313(f95(x60351),x60352))+P1(f313(f313(f223(x60351),f313(f95(x60351),x60352)),f2(x60351)))
% 119.46/119.25 [6071]E(x60711,x60712)+~E(f313(a96,x60711),f313(a96,x60712))+~P1(f313(f313(f222(a1),f2(a1)),x60712))+~P1(f313(f313(f222(a1),f2(a1)),x60711))
% 119.46/119.25 [6072]E(x60721,x60722)+~E(f313(a96,x60721),f313(a96,x60722))+~P1(f313(f313(f222(a1),f2(a1)),x60722))+~P1(f313(f313(f222(a1),f2(a1)),x60721))
% 119.46/119.25 [6102]~E(x61021,f2(a1))+E(f39(x61021,x61022),f313(f313(f240(a1,a1),f2(a1)),f2(a1)))+P1(f313(f313(f222(a1),f2(a1)),x61022))+~P1(f313(f313(f222(a1),f2(a1)),x61021))
% 119.46/119.25 [6275]~P98(x62752)+~P115(x62752)+~P1(f313(f313(f222(x62752),f2(x62752)),f313(f95(x62752),x62751)))+P1(f313(f313(f222(a1),a76),x62751))
% 119.46/119.25 [6276]~P98(x62762)+~P115(x62762)+~P1(f313(f313(f223(x62762),f2(x62762)),f313(f95(x62762),x62761)))+P1(f313(f313(f223(a1),a76),x62761))
% 119.46/119.25 [6281]~P115(x62811)+~P98(x62811)+P1(f313(f313(f222(x62811),f313(f95(x62811),x62812)),f2(x62811)))+~P1(f313(f313(f222(a1),x62812),a76))
% 119.46/119.25 [6282]~P115(x62821)+~P98(x62821)+P1(f313(f313(f223(x62821),f313(f95(x62821),x62822)),f2(x62821)))+~P1(f313(f313(f223(a1),x62822),a76))
% 119.46/119.25 [6624]~P98(x66242)+~P115(x66242)+~P1(f313(f313(f222(x66242),f313(f95(x66242),x66241)),f2(x66242)))+P1(f313(f313(f222(a1),x66241),a76))
% 119.46/119.25 [6625]~P98(x66252)+~P115(x66252)+~P1(f313(f313(f223(x66252),f313(f95(x66252),x66251)),f2(x66252)))+P1(f313(f313(f223(a1),x66251),a76))
% 119.46/119.25 [6723]~P115(x67231)+~P98(x67231)+E(f313(f69(x67231),f313(f95(x67231),x67232)),f313(f72(x67231),f313(f95(x67231),x67232)))+~P1(f313(f313(f223(x67231),f313(f95(x67231),x67232)),f2(x67231)))
% 119.46/119.25 [6743]E(f313(f95(a883),x67431),f313(f95(a883),x67432))+~E(f313(f95(a1),x67432),f2(a1))+~P1(f313(f313(f222(a1),f313(f95(a1),x67431)),f2(a1)))+~P1(f313(a183,f313(f95(a1),x67431)))
% 119.46/119.25 [6921]E(x69211,x69212)+~E(f313(a5,x69211),f313(a5,x69212))+~P1(f313(f313(f315(a883),x69212),f230(f890(a883,a881))))+~P1(f313(f313(f315(a883),x69211),f230(f890(a883,a881))))
% 119.46/119.25 [7155]P1(f313(f313(f222(a883),f313(a96,x71551)),f313(a96,x71552)))+~P1(f313(f313(f222(a1),f2(a1)),x71552))+~P1(f313(f313(f222(a1),f2(a1)),x71551))+~P1(f313(f313(f222(a1),x71551),x71552))
% 119.46/119.25 [7156]P1(f313(f313(f223(a883),f313(a96,x71561)),f313(a96,x71562)))+~P1(f313(f313(f222(a1),f2(a1)),x71562))+~P1(f313(f313(f222(a1),f2(a1)),x71561))+~P1(f313(f313(f223(a1),x71561),x71562))
% 119.46/119.25 [7157]P1(f313(f313(f273(a883),f313(a96,x71571)),f313(a96,x71572)))+~P1(f313(f313(f222(a1),f2(a1)),x71572))+~P1(f313(f313(f222(a1),f2(a1)),x71571))+~P1(f313(f313(f273(a1),x71571),x71572))
% 119.46/119.25 [7392]~P6(x73921)+~P40(x73922)+~P1(f313(f313(f315(a1),x73921),x73922))+P1(f313(f313(f315(a883),f313(a96,x73921)),f313(f296(a1,a883,a96),x73922)))
% 119.46/119.25 [7397]~P1(f313(f313(f222(a883),f313(a96,x73971)),f313(a96,x73972)))+~P1(f313(f313(f222(a1),f2(a1)),x73972))+~P1(f313(f313(f222(a1),f2(a1)),x73971))+P1(f313(f313(f222(a1),x73971),x73972))
% 119.46/119.25 [7398]~P1(f313(f313(f223(a883),f313(a96,x73981)),f313(a96,x73982)))+~P1(f313(f313(f222(a1),f2(a1)),x73982))+~P1(f313(f313(f222(a1),f2(a1)),x73981))+P1(f313(f313(f223(a1),x73981),x73982))
% 119.46/119.25 [7399]~P1(f313(f313(f273(a883),f313(a96,x73991)),f313(a96,x73992)))+~P1(f313(f313(f222(a1),f2(a1)),x73992))+~P1(f313(f313(f222(a1),f2(a1)),x73991))+P1(f313(f313(f273(a1),x73991),x73992))
% 119.46/119.25 [7650]~P4(x76502)+E(x76501,f178(f890(x76502,a881)))+~P1(f313(f54(x76502),x76501))+P1(f313(f313(f222(x76502),f14(x76502,f227(x76502),x76501)),f13(x76502,f177(x76502),x76501)))
% 119.46/119.25 [7972]~P6(x79721)+~P40(x79722)+P1(f313(f313(f315(a1),x79721),x79722))+~P1(f313(f313(f315(a883),f313(a96,x79721)),f313(f296(a1,a883,a96),x79722)))
% 119.46/119.25 [5836]~P144(x58362)+E(x58361,f2(a1))+E(f313(f72(x58362),f313(f94(x58362),f313(f72(a1),x58361))),f313(f94(x58362),x58361))+~P1(f313(f313(f223(a1),x58361),f2(a1)))
% 119.46/119.25 [5911]~P97(x59111)+~P98(x59111)+~P28(x59111,f313(f95(x59111),x59112))+P28(x59111,f313(f95(x59111),f313(f313(f73(a1),x59112),x59112)))
% 119.46/119.25 [6264]~P82(x62642)+E(x62641,f178(f890(x62642,a881)))+E(f17(x62642,f313(f296(x62642,x62642,f72(x62642)),x62641)),f313(f72(x62642),f16(x62642,x62641)))+~P1(f313(f54(x62642),x62641))
% 119.46/119.25 [6265]~P82(x62652)+E(x62651,f178(f890(x62652,a881)))+E(f16(x62652,f313(f296(x62652,x62652,f72(x62652)),x62651)),f313(f72(x62652),f17(x62652,x62651)))+~P1(f313(f54(x62652),x62651))
% 119.46/119.25 [6298]~P97(x62981)+~P98(x62981)+P28(x62981,f313(f95(x62981),x62982))+~P28(x62981,f313(f95(x62981),f313(f313(f73(a1),x62982),x62982)))
% 119.46/119.25 [6398]E(x63981,f2(a1))+E(f313(a44,f43(f313(f72(a1),x63981),f313(f72(a1),x63982))),f39(x63981,x63982))+P1(f313(f313(f222(a1),f2(a1)),x63982))+~P1(f313(f313(f222(a1),f2(a1)),x63981))
% 119.46/119.25 [7307]~P1(f313(f313(f222(a1),f2(a1)),x73071))+~P1(f313(f313(f223(a1),f2(a1)),x73072))+~P1(f313(f313(f222(a1),x73072),x73071))+P1(f313(f313(f223(a1),f2(a1)),f313(f313(f29(a1),x73071),x73072)))
% 119.46/119.25 [7725]~E(x77252,f2(a1))+E(f205(x77251,x77252),f313(f313(f240(a1,a1),f2(a1)),f71(a1)))+P1(f313(f313(f223(a1),x77252),f2(a1)))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x77251),x77252)))
% 119.46/119.25 [7726]~E(x77261,f2(a1))+E(f205(x77261,x77262),f313(f313(f240(a1,a1),f2(a1)),f71(a1)))+P1(f313(f313(f223(a1),x77262),f2(a1)))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x77261),x77262)))
% 119.46/119.25 [8738]~P40(x87382)+~P40(x87381)+P1(f313(f313(f222(f890(a883,a881)),f313(f296(a1,a883,a96),x87381)),f313(f296(a1,a883,a96),x87382)))+~P1(f313(f313(f222(f890(a1,a881)),x87381),x87382))
% 119.46/119.25 [8739]~P40(x87392)+~P40(x87391)+P1(f313(f313(f223(f890(a883,a881)),f313(f296(a1,a883,a96),x87391)),f313(f296(a1,a883,a96),x87392)))+~P1(f313(f313(f223(f890(a1,a881)),x87391),x87392))
% 119.46/119.25 [8960]~E(f744(x89602,x89601),f745(x89602,x89601))+~P1(f313(f125(x89601),f746(x89602,x89601)))+~P1(f313(f125(f885(x89601)),x89602))+P1(f313(f125(x89601),f313(f130(f885(x89601),f885(x89601),f122(x89601),f104(x89601)),x89602)))
% 119.46/119.25 [9044]~P40(x90442)+~P40(x90441)+~P1(f313(f313(f222(f890(a883,a881)),f313(f296(a1,a883,a96),x90441)),f313(f296(a1,a883,a96),x90442)))+P1(f313(f313(f222(f890(a1,a881)),x90441),x90442))
% 119.46/119.25 [9045]~P40(x90452)+~P40(x90451)+~P1(f313(f313(f223(f890(a883,a881)),f313(f296(a1,a883,a96),x90451)),f313(f296(a1,a883,a96),x90452)))+P1(f313(f313(f223(f890(a1,a881)),x90451),x90452))
% 119.46/119.25 [9052]~E(f744(x90522,x90521),f745(x90522,x90521))+~P1(f313(f125(f885(x90521)),x90522))+P1(f313(f125(x90521),f313(f130(f885(x90521),f885(x90521),f122(x90521),f104(x90521)),x90522)))+P1(f313(f313(f315(f885(x90521)),f746(x90522,x90521)),f313(f160(f885(x90521)),x90522)))
% 119.46/119.25 [9094]~P1(f313(f125(x90941),f746(x90942,x90941)))+~P1(f313(f125(f885(x90941)),x90942))+P1(f313(f125(x90941),f313(f130(f885(x90941),f885(x90941),f122(x90941),f104(x90941)),x90942)))+P1(f313(f313(f315(f885(x90941)),f745(x90942,x90941)),f313(f160(f885(x90941)),x90942)))
% 119.46/119.25 [9095]~P1(f313(f125(x90951),f746(x90952,x90951)))+~P1(f313(f125(f885(x90951)),x90952))+P1(f313(f125(x90951),f313(f130(f885(x90951),f885(x90951),f122(x90951),f104(x90951)),x90952)))+P1(f313(f313(f315(f885(x90951)),f744(x90952,x90951)),f313(f160(f885(x90951)),x90952)))
% 119.46/119.25 [9171]~P1(f313(f125(f885(x91711)),x91712))+P1(f313(f125(x91711),f313(f130(f885(x91711),f885(x91711),f122(x91711),f104(x91711)),x91712)))+P1(f313(f313(f315(f885(x91711)),f745(x91712,x91711)),f313(f160(f885(x91711)),x91712)))+P1(f313(f313(f315(f885(x91711)),f746(x91712,x91711)),f313(f160(f885(x91711)),x91712)))
% 119.46/119.25 [9172]~P1(f313(f125(f885(x91721)),x91722))+P1(f313(f125(x91721),f313(f130(f885(x91721),f885(x91721),f122(x91721),f104(x91721)),x91722)))+P1(f313(f313(f315(f885(x91721)),f744(x91722,x91721)),f313(f160(f885(x91721)),x91722)))+P1(f313(f313(f315(f885(x91721)),f746(x91722,x91721)),f313(f160(f885(x91721)),x91722)))
% 119.46/119.25 [9186]~E(f313(f313(f93(f890(x91861,a881)),f313(f160(x91861),f745(x91862,x91861))),f313(f160(x91861),f744(x91862,x91861))),f178(f890(x91861,a881)))+~P1(f313(f125(x91861),f746(x91862,x91861)))+~P1(f313(f125(f885(x91861)),x91862))+P1(f313(f125(x91861),f313(f130(f885(x91861),f885(x91861),f122(x91861),f104(x91861)),x91862)))
% 119.46/119.25 [9249]~E(f313(f313(f93(f890(x92491,a881)),f313(f160(x92491),f745(x92492,x92491))),f313(f160(x92491),f744(x92492,x92491))),f178(f890(x92491,a881)))+~P1(f313(f125(f885(x92491)),x92492))+P1(f313(f125(x92491),f313(f130(f885(x92491),f885(x92491),f122(x92491),f104(x92491)),x92492)))+P1(f313(f313(f315(f885(x92491)),f746(x92492,x92491)),f313(f160(f885(x92491)),x92492)))
% 119.46/119.25 [9529]E(x95291,f2(a1))+E(x95292,f2(a1))+E(f313(f313(f79(a1,f889(a1,a1)),f313(f313(a207,x95292),x95291)),f313(f313(f20(a1,a1,f889(a1,a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f313(f29(a1),x95292))),f313(f29(a1),x95291))),f205(x95292,x95291))+P1(f313(f313(f223(a1),x95291),f2(a1)))
% 119.46/119.25 [8297]~P98(x82972)+~P115(x82972)+~P1(f313(f313(f222(x82972),f313(f95(x82972),x82971)),f71(x82972)))+P1(f313(f313(f222(a1),x82971),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))
% 119.46/119.25 [8298]~P98(x82982)+~P115(x82982)+~P1(f313(f313(f223(x82982),f313(f95(x82982),x82981)),f71(x82982)))+P1(f313(f313(f223(a1),x82981),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))
% 119.46/119.25 [8569]~P115(x85691)+~P98(x85691)+P1(f313(f313(f222(x85691),f313(f95(x85691),x85692)),f71(x85691)))+~P1(f313(f313(f222(a1),x85692),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))
% 119.46/119.25 [8570]~P115(x85701)+~P98(x85701)+P1(f313(f313(f223(x85701),f313(f95(x85701),x85702)),f71(x85701)))+~P1(f313(f313(f223(a1),x85702),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))
% 119.46/119.25 [8764]~P98(x87642)+~P115(x87642)+~P1(f313(f313(f222(x87642),f71(x87642)),f313(f95(x87642),x87641)))+P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),x87641))
% 119.46/119.25 [8765]~P98(x87652)+~P115(x87652)+~P1(f313(f313(f223(x87652),f71(x87652)),f313(f95(x87652),x87651)))+P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),x87651))
% 119.46/119.25 [9131]~P115(x91311)+~P98(x91311)+P1(f313(f313(f222(x91311),f71(x91311)),f313(f95(x91311),x91312)))+~P1(f313(f313(f222(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),x91312))
% 119.46/119.25 [9132]~P115(x91321)+~P98(x91321)+P1(f313(f313(f223(x91321),f71(x91321)),f313(f95(x91321),x91322)))+~P1(f313(f313(f223(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),x91322))
% 119.46/119.25 [9652]~P138(x96522)+E(x96521,f71(x96522))+E(x96521,f313(f72(x96522),f71(x96522)))+~E(f313(f313(f232(x96522),x96521),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f71(x96522))
% 119.46/119.25 [9927]~P72(x99271)+~P98(x99271)+~P1(f313(f313(f223(x99271),f2(x99271)),x99272))+P1(f313(f313(f223(x99271),f2(x99271)),f313(f313(f277(x99271),x99272),f313(f95(x99271),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.25 [9928]~P72(x99281)+~P98(x99281)+~P1(f313(f313(f223(x99281),f2(x99281)),x99282))+P1(f313(f313(f223(x99281),f2(x99281)),f313(f313(f277(x99281),x99282),f313(f95(x99281),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.25 [9980]~P72(x99801)+~P98(x99801)+P1(f313(f313(f223(x99801),f2(x99801)),x99802))+~P1(f313(f313(f223(x99801),f2(x99801)),f313(f313(f277(x99801),x99802),f313(f95(x99801),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.25 [10270]~P144(x102702)+E(x102701,f2(a1))+P1(f313(f313(f223(a1),x102701),f2(a1)))+E(f313(f313(f245(a1,a1,x102702),f313(f313(f9(a1,f890(a1,f890(x102702,x102702)),f890(a1,x102702)),f313(f313(f10(f890(f890(x102702,x102702),x102702),f890(f890(a1,f890(x102702,x102702)),f890(a1,x102702)),a1),f10(f890(x102702,x102702),x102702,a1)),f313(f313(f10(x102702,f890(f890(x102702,x102702),x102702),a1),f79(x102702,x102702)),f94(x102702)))),f313(f313(f9(a1,f890(x102702,x102702),f890(x102702,x102702)),f313(f313(f10(f890(x102702,f890(x102702,x102702)),f890(f890(x102702,x102702),f890(x102702,x102702)),a1),f20(x102702,x102702,x102702)),f313(f313(f9(a1,f890(x102702,x102702),f890(x102702,f890(x102702,x102702))),f313(f313(f10(f890(x102702,f890(x102702,x102702)),f890(f890(x102702,x102702),f890(x102702,f890(x102702,x102702))),a1),f10(x102702,f890(x102702,x102702),x102702)),f313(f313(f10(a881,f890(x102702,f890(x102702,x102702)),a1),f84(x102702)),f313(f313(f9(a1,a1,a881),a310),f2(a1))))),f313(f313(f20(x102702,x102702,x102702),f73(x102702)),f7(x102702))))),f313(f313(f9(x102702,x102702,x102702),f313(f313(f10(x102702,f890(x102702,x102702),x102702),f73(x102702)),f313(f313(f20(x102702,x102702,x102702),f73(x102702)),f7(x102702)))),f71(x102702))))),f39(x102701,f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f94(x102702),x102701))
% 119.46/119.25 [10027]P1(f313(f313(f222(a1),x100271),f2(a1)))+P1(f313(f313(f223(a1),x100272),x100271))+~P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),x100272),x100271)))+E(f313(f36(x100271),f40(x100272,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100271))),f40(x100272,x100271))
% 119.46/119.25 [10031]P1(f313(f313(f222(a1),x100311),f2(a1)))+~P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),x100312),x100311)))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),x100312),x100311)))+E(f313(f36(x100311),f43(x100312,f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),x100311))),f43(x100312,x100311))
% 119.46/119.25 [5164]~P3(x51641)+~P3(x51642)+~P51(x51641,x51642,x51643)+P39(x51641,x51642,x51643)
% 119.46/119.25 [5296]~P37(x52961,x52963)+~P54(x52961,x52963)+~P55(x52961,x52962,x52963)+P8(x52961,x52962,x52963)
% 119.46/119.25 [5297]~P37(x52971,x52973)+~P54(x52971,x52973)+~P55(x52971,x52972,x52973)+P8(x52971,x52972,x52973)
% 119.46/119.25 [5055]~P5(x50553)+~P39(x50553,x50553,x50551)+E(f313(x50551,x50552),x50552)+~E(x50552,f87(x50553,x50551))
% 119.46/119.25 [5056]~P5(x50563)+~P39(x50563,x50563,x50561)+E(f313(x50561,x50562),x50562)+~E(x50562,f86(x50563,x50561))
% 119.46/119.25 [4822]~P97(x48223)+~P98(x48223)+E(x48221,x48222)+~E(f313(f95(x48223),x48221),f313(f95(x48223),x48222))
% 119.46/119.25 [5307]~P52(x53071,x53072)+~P53(x53071,x53072)+P15(x53071,x53072)+~P1(f313(f313(x53072,x53073),x53073))
% 119.46/119.25 [5308]~P52(x53081,x53082)+~P53(x53081,x53082)+P15(x53081,x53082)+~P1(f313(f313(x53082,x53083),x53083))
% 119.46/119.25 [5815]P15(x58152,x58151)+E(f313(x58151,f818(x58151)),f313(x58151,f819(x58151)))+P1(f313(f313(x58151,f818(x58151)),f819(x58151)))+~P1(f313(f313(x58151,x58153),x58153))
% 119.46/119.25 [6023]~P1(f313(x60231,x60232))+~P1(f313(x60231,x60233))+~P1(f313(f313(f222(a883),x60233),f585(x60232,x60231)))+P1(f313(x60231,f2(a883)))
% 119.46/119.25 [6091]P15(x60911,x60912)+P1(f313(f313(x60912,f818(x60912)),f818(x60912)))+P1(f313(f313(x60912,f818(x60912)),f819(x60912)))+~P1(f313(f313(x60912,x60913),x60913))
% 119.46/119.25 [6092]P15(x60921,x60922)+P1(f313(f313(x60922,f818(x60922)),f819(x60922)))+P1(f313(f313(x60922,f819(x60922)),f819(x60922)))+~P1(f313(f313(x60922,x60923),x60923))
% 119.46/119.25 [6469]P151(x64692,x64691,x64693)+E(x64691,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f827(x64693,x64691,x64692)))+P1(f313(f313(f223(a1),x64691),f2(a1)))
% 119.46/119.25 [6470]P150(x64702,x64701,x64703)+E(x64701,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f833(x64703,x64701,x64702)))+P1(f313(f313(f223(a1),x64701),f2(a1)))
% 119.46/119.25 [6600]P150(x66001,x66002,x66003)+~P1(f313(x66001,x66003))+P1(f313(f313(f222(a1),f2(a1)),f833(x66003,x66002,x66001)))+P1(f313(f313(f223(a1),x66002),f2(a1)))
% 119.46/119.25 [6630]P151(x66301,x66302,x66303)+P1(f313(f313(f222(a1),f2(a1)),f827(x66303,x66302,x66301)))+~P1(f313(x66301,f2(a1)))+P1(f313(f313(f223(a1),x66302),f2(a1)))
% 119.46/119.25 [6664]P151(x66642,x66641,x66643)+E(x66641,f2(a1))+~P1(f313(x66642,f828(x66643,x66641,x66642)))+P1(f313(f313(f223(a1),x66641),f2(a1)))
% 119.46/119.25 [6665]P150(x66652,x66651,x66653)+E(x66651,f2(a1))+~P1(f313(x66652,f833(x66653,x66651,x66652)))+P1(f313(f313(f223(a1),x66651),f2(a1)))
% 119.46/119.25 [6772]~P4(x67721)+~P5(x67721)+~P1(f313(f313(f223(x67721),x67722),f30(x67721,x67723)))+P1(f313(f313(f223(x67721),x67722),f606(x67723,x67722,x67721)))
% 119.46/119.25 [6782]P150(x67821,x67822,x67823)+~P1(f313(x67821,x67823))+~P1(f313(x67821,f833(x67823,x67822,x67821)))+P1(f313(f313(f223(a1),x67822),f2(a1)))
% 119.46/119.25 [6814]P151(x68141,x68142,x68143)+~P1(f313(x68141,f828(x68143,x68142,x68141)))+~P1(f313(x68141,f2(a1)))+P1(f313(f313(f223(a1),x68142),f2(a1)))
% 119.46/119.25 [7076]P151(x70762,x70761,x70763)+E(x70761,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f827(x70763,x70761,x70762)))+P1(f313(f313(f223(a1),x70761),f831(x70763,x70761,x70762)))
% 119.46/119.25 [7077]P150(x70772,x70771,x70773)+E(x70771,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f833(x70773,x70771,x70772)))+P1(f313(f313(f223(a1),x70771),f832(x70773,x70771,x70772)))
% 119.46/119.25 [7198]P150(x71981,x71982,x71983)+~P1(f313(x71981,x71983))+P1(f313(f313(f222(a1),f2(a1)),f833(x71983,x71982,x71981)))+P1(f313(f313(f223(a1),x71982),f832(x71983,x71982,x71981)))
% 119.46/119.25 [7220]P151(x72201,x72202,x72203)+P1(f313(f313(f222(a1),f2(a1)),f827(x72203,x72202,x72201)))+P1(f313(f313(f223(a1),x72202),f831(x72203,x72202,x72201)))+~P1(f313(x72201,f2(a1)))
% 119.46/119.25 [7251]P151(x72512,x72511,x72513)+E(x72511,f2(a1))+~P1(f313(x72512,f828(x72513,x72511,x72512)))+P1(f313(f313(f223(a1),x72511),f831(x72513,x72511,x72512)))
% 119.46/119.25 [7252]P150(x72522,x72521,x72523)+E(x72521,f2(a1))+~P1(f313(x72522,f833(x72523,x72521,x72522)))+P1(f313(f313(f223(a1),x72521),f832(x72523,x72521,x72522)))
% 119.46/119.25 [7296]P151(x72962,x72961,x72963)+E(x72961,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f827(x72963,x72961,x72962)))+~P1(f313(x72962,f829(x72963,x72961,x72962)))
% 119.46/119.25 [7297]P150(x72972,x72971,x72973)+E(x72971,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f833(x72973,x72971,x72972)))+~P1(f313(x72972,f832(x72973,x72971,x72972)))
% 119.46/119.25 [7396]P150(x73961,x73962,x73963)+~P1(f313(x73961,x73963))+~P1(f313(x73961,f833(x73963,x73962,x73961)))+P1(f313(f313(f223(a1),x73962),f832(x73963,x73962,x73961)))
% 119.46/119.25 [7412]P151(x74121,x74122,x74123)+~P1(f313(x74121,f828(x74123,x74122,x74121)))+P1(f313(f313(f223(a1),x74122),f831(x74123,x74122,x74121)))+~P1(f313(x74121,f2(a1)))
% 119.46/119.25 [7415]P150(x74151,x74152,x74153)+~P1(f313(x74151,x74153))+P1(f313(f313(f222(a1),f2(a1)),f833(x74153,x74152,x74151)))+~P1(f313(x74151,f832(x74153,x74152,x74151)))
% 119.46/119.25 [7433]P151(x74331,x74332,x74333)+P1(f313(f313(f222(a1),f2(a1)),f827(x74333,x74332,x74331)))+~P1(f313(x74331,f829(x74333,x74332,x74331)))+~P1(f313(x74331,f2(a1)))
% 119.46/119.25 [7434]~P3(x74342)+~P3(x74341)+P51(x74341,x74342,x74343)+P1(f313(f313(f223(x74341),f368(x74343,x74341,x74342)),f375(x74343,x74341,x74342)))
% 119.46/119.25 [7457]P151(x74572,x74571,x74573)+E(x74571,f2(a1))+~P1(f313(x74572,f828(x74573,x74571,x74572)))+~P1(f313(x74572,f829(x74573,x74571,x74572)))
% 119.46/119.25 [7458]P150(x74582,x74581,x74583)+E(x74581,f2(a1))+~P1(f313(x74582,f833(x74583,x74581,x74582)))+~P1(f313(x74582,f832(x74583,x74581,x74582)))
% 119.46/119.25 [7544]P150(x75441,x75442,x75443)+~P1(f313(x75441,x75443))+~P1(f313(x75441,f833(x75443,x75442,x75441)))+~P1(f313(x75441,f832(x75443,x75442,x75441)))
% 119.46/119.25 [7562]P151(x75621,x75622,x75623)+~P1(f313(x75621,f828(x75623,x75622,x75621)))+~P1(f313(x75621,f829(x75623,x75622,x75621)))+~P1(f313(x75621,f2(a1)))
% 119.46/119.25 [7609]P151(x76092,x76091,x76093)+E(x76091,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f827(x76093,x76091,x76092)))+P1(f313(f313(f222(a1),f831(x76093,x76091,x76092)),f2(a1)))
% 119.46/119.25 [7610]P150(x76102,x76101,x76103)+E(x76101,f2(a1))+P1(f313(f313(f222(a1),f2(a1)),f833(x76103,x76101,x76102)))+P1(f313(f313(f222(a1),f832(x76103,x76101,x76102)),f2(a1)))
% 119.46/119.25 [7611]~P2(x76111)+~P1(f313(f313(f315(x76111),x76113),f174(x76111)))+~P1(f313(f313(f315(x76111),x76112),f174(x76111)))+P1(f313(f313(f315(x76111),f313(f313(f74(x76111),x76112),x76113)),f174(x76111)))
% 119.46/119.25 [7612]~P144(x76121)+~P1(f313(f313(f315(x76121),x76123),f101(x76121)))+~P1(f313(f313(f315(x76121),x76122),f101(x76121)))+P1(f313(f313(f315(x76121),f313(f313(f74(x76121),x76122),x76123)),f101(x76121)))
% 119.46/119.25 [7613]~P2(x76131)+~P1(f313(f313(f315(x76131),x76133),f174(x76131)))+~P1(f313(f313(f315(x76131),x76132),f174(x76131)))+P1(f313(f313(f315(x76131),f313(f313(f73(x76131),x76132),x76133)),f174(x76131)))
% 119.46/119.25 [7614]~P144(x76141)+~P1(f313(f313(f315(x76141),x76143),f101(x76141)))+~P1(f313(f313(f315(x76141),x76142),f101(x76141)))+P1(f313(f313(f315(x76141),f313(f313(f73(x76141),x76142),x76143)),f101(x76141)))
% 119.46/119.25 [7615]~P144(x76151)+~P1(f313(f313(f315(x76151),x76153),f101(x76151)))+~P1(f313(f313(f315(x76151),x76152),f101(x76151)))+P1(f313(f313(f315(x76151),f313(f313(f3(x76151),x76152),x76153)),f101(x76151)))
% 119.46/119.25 [7616]~P93(x76161)+~P1(f313(f313(f222(x76161),x76163),f2(x76161)))+~P1(f313(f313(f222(x76161),x76162),f2(x76161)))+P1(f313(f313(f222(x76161),f313(f313(f73(x76161),x76162),x76163)),f2(x76161)))
% 119.46/119.25 [7617]~P93(x76171)+~P1(f313(f313(f222(x76171),x76173),f2(x76171)))+~P1(f313(f313(f223(x76171),x76172),f2(x76171)))+P1(f313(f313(f223(x76171),f313(f313(f73(x76171),x76172),x76173)),f2(x76171)))
% 119.46/119.25 [7618]~P93(x76181)+~P1(f313(f313(f222(x76181),x76182),f2(x76181)))+~P1(f313(f313(f223(x76181),x76183),f2(x76181)))+P1(f313(f313(f223(x76181),f313(f313(f73(x76181),x76182),x76183)),f2(x76181)))
% 119.46/119.25 [7619]~P93(x76191)+~P1(f313(f313(f223(x76191),x76193),f2(x76191)))+~P1(f313(f313(f223(x76191),x76192),f2(x76191)))+P1(f313(f313(f223(x76191),f313(f313(f73(x76191),x76192),x76193)),f2(x76191)))
% 119.46/119.25 [7646]P151(x76463,x76461,x76462)+E(x76461,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x76461),f828(x76462,x76461,x76463))),f827(x76462,x76461,x76463)),x76462)+P1(f313(f313(f223(a1),x76461),f2(a1)))
% 119.46/119.25 [7647]P150(x76473,x76471,x76472)+E(x76471,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x76471),f834(x76472,x76471,x76473))),f833(x76472,x76471,x76473)),x76472)+P1(f313(f313(f223(a1),x76471),f2(a1)))
% 119.46/119.25 [7730]P150(x77301,x77302,x77303)+~P1(f313(x77301,x77303))+P1(f313(f313(f222(a1),f2(a1)),f833(x77303,x77302,x77301)))+P1(f313(f313(f222(a1),f832(x77303,x77302,x77301)),f2(a1)))
% 119.46/119.25 [7762]P151(x77621,x77622,x77623)+P1(f313(f313(f222(a1),f2(a1)),f827(x77623,x77622,x77621)))+~P1(f313(x77621,f2(a1)))+P1(f313(f313(f222(a1),f831(x77623,x77622,x77621)),f2(a1)))
% 119.46/119.25 [7771]P150(x77713,x77711,x77712)+~P1(f313(x77713,x77712))+E(f313(f313(f73(a1),f313(f313(f74(a1),x77711),f834(x77712,x77711,x77713))),f833(x77712,x77711,x77713)),x77712)+P1(f313(f313(f223(a1),x77711),f2(a1)))
% 119.46/119.25 [7777]P151(x77772,x77771,x77773)+E(x77771,f2(a1))+~P1(f313(x77772,f828(x77773,x77771,x77772)))+P1(f313(f313(f222(a1),f831(x77773,x77771,x77772)),f2(a1)))
% 119.46/119.25 [7778]P150(x77782,x77781,x77783)+E(x77781,f2(a1))+~P1(f313(x77782,f833(x77783,x77781,x77782)))+P1(f313(f313(f222(a1),f832(x77783,x77781,x77782)),f2(a1)))
% 119.46/119.25 [7783]P151(x77833,x77831,x77832)+E(f313(f313(f73(a1),f313(f313(f74(a1),x77831),f828(x77832,x77831,x77833))),f827(x77832,x77831,x77833)),x77832)+~P1(f313(x77833,f2(a1)))+P1(f313(f313(f223(a1),x77831),f2(a1)))
% 119.46/119.25 [7839]P150(x78391,x78392,x78393)+~P1(f313(x78391,x78393))+~P1(f313(x78391,f833(x78393,x78392,x78391)))+P1(f313(f313(f222(a1),f832(x78393,x78392,x78391)),f2(a1)))
% 119.46/119.25 [7843]P151(x78431,x78432,x78433)+~P1(f313(x78431,f828(x78433,x78432,x78431)))+~P1(f313(x78431,f2(a1)))+P1(f313(f313(f222(a1),f831(x78433,x78432,x78431)),f2(a1)))
% 119.46/119.25 [7912]~P130(x79121)+~P1(f313(f313(f222(x79121),f313(f313(f74(x79121),x79123),x79122)),f2(x79121)))+P1(f313(f313(f222(x79121),x79122),f2(x79121)))+P1(f313(f313(f222(x79121),x79123),f2(x79121)))
% 119.46/119.25 [7913]~P72(x79131)+~P1(f313(f313(f222(x79131),f313(f313(f277(x79131),x79133),x79132)),f2(x79131)))+P1(f313(f313(f222(x79131),x79132),f2(x79131)))+P1(f313(f313(f222(x79131),x79133),f2(x79131)))
% 119.46/119.25 [7914]~P72(x79141)+~P1(f313(f313(f223(x79141),f313(f313(f277(x79141),x79143),x79142)),f2(x79141)))+P1(f313(f313(f223(x79141),x79142),f2(x79141)))+P1(f313(f313(f223(x79141),x79143),f2(x79141)))
% 119.46/119.25 [8027]P151(x80273,x80271,x80272)+E(x80271,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x80271),f828(x80272,x80271,x80273))),f827(x80272,x80271,x80273)),x80272)+P1(f313(f313(f223(a1),x80271),f831(x80272,x80271,x80273)))
% 119.46/119.25 [8028]P150(x80283,x80281,x80282)+E(x80281,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x80281),f834(x80282,x80281,x80283))),f833(x80282,x80281,x80283)),x80282)+P1(f313(f313(f223(a1),x80281),f832(x80282,x80281,x80283)))
% 119.46/119.25 [8040]P151(x80403,x80401,x80402)+E(x80401,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x80401),f829(x80402,x80401,x80403))),f831(x80402,x80401,x80403)),x80402)+P1(f313(f313(f222(a1),f2(a1)),f827(x80402,x80401,x80403)))
% 119.46/119.25 [8041]P150(x80413,x80411,x80412)+E(x80411,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x80411),f835(x80412,x80411,x80413))),f832(x80412,x80411,x80413)),x80412)+P1(f313(f313(f222(a1),f2(a1)),f833(x80412,x80411,x80413)))
% 119.46/119.25 [8084]P150(x80843,x80841,x80842)+~P1(f313(x80843,x80842))+E(f313(f313(f73(a1),f313(f313(f74(a1),x80841),f834(x80842,x80841,x80843))),f833(x80842,x80841,x80843)),x80842)+P1(f313(f313(f223(a1),x80841),f832(x80842,x80841,x80843)))
% 119.46/119.25 [8093]P151(x80933,x80931,x80932)+E(f313(f313(f73(a1),f313(f313(f74(a1),x80931),f828(x80932,x80931,x80933))),f827(x80932,x80931,x80933)),x80932)+P1(f313(f313(f223(a1),x80931),f831(x80932,x80931,x80933)))+~P1(f313(x80933,f2(a1)))
% 119.46/119.25 [8099]P150(x80993,x80991,x80992)+~P1(f313(x80993,x80992))+E(f313(f313(f73(a1),f313(f313(f74(a1),x80991),f835(x80992,x80991,x80993))),f832(x80992,x80991,x80993)),x80992)+P1(f313(f313(f222(a1),f2(a1)),f833(x80992,x80991,x80993)))
% 119.46/119.25 [8105]P151(x81053,x81051,x81052)+E(f313(f313(f73(a1),f313(f313(f74(a1),x81051),f829(x81052,x81051,x81053))),f831(x81052,x81051,x81053)),x81052)+P1(f313(f313(f222(a1),f2(a1)),f827(x81052,x81051,x81053)))+~P1(f313(x81053,f2(a1)))
% 119.46/119.25 [8116]P151(x81163,x81161,x81162)+E(x81161,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x81161),f828(x81162,x81161,x81163))),f827(x81162,x81161,x81163)),x81162)+~P1(f313(x81163,f829(x81162,x81161,x81163)))
% 119.46/119.25 [8117]P150(x81173,x81171,x81172)+E(x81171,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x81171),f834(x81172,x81171,x81173))),f833(x81172,x81171,x81173)),x81172)+~P1(f313(x81173,f832(x81172,x81171,x81173)))
% 119.46/119.25 [8118]P151(x81183,x81181,x81182)+E(x81181,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x81181),f829(x81182,x81181,x81183))),f831(x81182,x81181,x81183)),x81182)+~P1(f313(x81183,f828(x81182,x81181,x81183)))
% 119.46/119.25 [8119]P150(x81193,x81191,x81192)+E(x81191,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x81191),f835(x81192,x81191,x81193))),f832(x81192,x81191,x81193)),x81192)+~P1(f313(x81193,f833(x81192,x81191,x81193)))
% 119.46/119.25 [8177]P150(x81773,x81771,x81772)+~P1(f313(x81773,x81772))+E(f313(f313(f73(a1),f313(f313(f74(a1),x81771),f834(x81772,x81771,x81773))),f833(x81772,x81771,x81773)),x81772)+~P1(f313(x81773,f832(x81772,x81771,x81773)))
% 119.46/119.25 [8178]P150(x81783,x81781,x81782)+~P1(f313(x81783,x81782))+E(f313(f313(f73(a1),f313(f313(f74(a1),x81781),f835(x81782,x81781,x81783))),f832(x81782,x81781,x81783)),x81782)+~P1(f313(x81783,f833(x81782,x81781,x81783)))
% 119.46/119.25 [8191]P151(x81913,x81911,x81912)+E(f313(f313(f73(a1),f313(f313(f74(a1),x81911),f828(x81912,x81911,x81913))),f827(x81912,x81911,x81913)),x81912)+~P1(f313(x81913,f829(x81912,x81911,x81913)))+~P1(f313(x81913,f2(a1)))
% 119.46/119.25 [8192]P151(x81923,x81921,x81922)+E(f313(f313(f73(a1),f313(f313(f74(a1),x81921),f829(x81922,x81921,x81923))),f831(x81922,x81921,x81923)),x81922)+~P1(f313(x81923,f828(x81922,x81921,x81923)))+~P1(f313(x81923,f2(a1)))
% 119.46/119.25 [8290]P151(x82903,x82901,x82902)+E(x82901,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x82901),f828(x82902,x82901,x82903))),f827(x82902,x82901,x82903)),x82902)+P1(f313(f313(f222(a1),f831(x82902,x82901,x82903)),f2(a1)))
% 119.46/119.25 [8291]P150(x82913,x82911,x82912)+E(x82911,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x82911),f834(x82912,x82911,x82913))),f833(x82912,x82911,x82913)),x82912)+P1(f313(f313(f222(a1),f832(x82912,x82911,x82913)),f2(a1)))
% 119.46/119.25 [8330]P150(x83303,x83301,x83302)+~P1(f313(x83303,x83302))+E(f313(f313(f73(a1),f313(f313(f74(a1),x83301),f834(x83302,x83301,x83303))),f833(x83302,x83301,x83303)),x83302)+P1(f313(f313(f222(a1),f832(x83302,x83301,x83303)),f2(a1)))
% 119.46/119.25 [8335]P151(x83353,x83351,x83352)+E(f313(f313(f73(a1),f313(f313(f74(a1),x83351),f828(x83352,x83351,x83353))),f827(x83352,x83351,x83353)),x83352)+~P1(f313(x83353,f2(a1)))+P1(f313(f313(f222(a1),f831(x83352,x83351,x83353)),f2(a1)))
% 119.46/119.25 [8467]P151(x84673,x84671,x84672)+E(x84671,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x84671),f829(x84672,x84671,x84673))),f831(x84672,x84671,x84673)),x84672)+E(f313(f313(f73(a1),f313(f313(f74(a1),x84671),f828(x84672,x84671,x84673))),f827(x84672,x84671,x84673)),x84672)
% 119.46/119.25 [8468]P150(x84683,x84681,x84682)+E(x84681,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x84681),f835(x84682,x84681,x84683))),f832(x84682,x84681,x84683)),x84682)+E(f313(f313(f73(a1),f313(f313(f74(a1),x84681),f834(x84682,x84681,x84683))),f833(x84682,x84681,x84683)),x84682)
% 119.46/119.25 [8488]P150(x84883,x84881,x84882)+~P1(f313(x84883,x84882))+E(f313(f313(f73(a1),f313(f313(f74(a1),x84881),f835(x84882,x84881,x84883))),f832(x84882,x84881,x84883)),x84882)+E(f313(f313(f73(a1),f313(f313(f74(a1),x84881),f834(x84882,x84881,x84883))),f833(x84882,x84881,x84883)),x84882)
% 119.46/119.25 [8499]P151(x84993,x84991,x84992)+E(f313(f313(f73(a1),f313(f313(f74(a1),x84991),f829(x84992,x84991,x84993))),f831(x84992,x84991,x84993)),x84992)+E(f313(f313(f73(a1),f313(f313(f74(a1),x84991),f828(x84992,x84991,x84993))),f827(x84992,x84991,x84993)),x84992)+~P1(f313(x84993,f2(a1)))
% 119.46/119.25 [9138]~P130(x91381)+~E(x91383,f2(x91381))+~E(x91382,f2(x91381))+P1(f313(f313(f222(x91381),f313(f313(f73(x91381),f313(f313(f74(x91381),x91382),x91382)),f313(f313(f74(x91381),x91383),x91383))),f2(x91381)))
% 119.46/119.25 [10210]~P115(x102101)+~E(x102103,f2(x102101))+~E(x102102,f2(x102101))+P1(f313(f313(f222(x102101),f313(f313(f73(x102101),f313(f313(f232(x102101),x102102),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x102101),x102103),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))),f2(x102101)))
% 119.46/119.25 [4770]~E(x47703,x47701)+~P126(x47702)+E(x47701,f2(x47702))+E(f313(f313(f277(x47702),x47703),x47701),f71(x47702))
% 119.46/119.25 [4823]~P104(x48231)+~E(x48233,f178(x48231))+~E(x48232,f178(x48231))+E(f313(f313(f92(x48231),x48232),x48233),f178(x48231))
% 119.46/119.25 [4824]~P107(x48241)+~E(x48243,f230(x48241))+~E(x48242,f230(x48241))+E(f313(f313(f93(x48241),x48242),x48243),f230(x48241))
% 119.46/119.25 [4922]~P126(x49223)+E(x49221,x49222)+E(x49222,f2(x49223))+~E(f313(f313(f277(x49223),x49221),x49222),f71(x49223))
% 119.46/119.25 [4939]~P136(x49392)+E(x49391,f2(x49392))+E(x49393,f2(x49392))+~E(f313(f313(f74(x49392),x49393),x49391),f2(x49392))
% 119.46/119.25 [4940]~P137(x49402)+E(x49401,f2(x49402))+E(x49403,f2(x49402))+~E(f313(f313(f74(x49402),x49403),x49401),f2(x49402))
% 119.46/119.25 [4941]~P137(x49412)+E(x49411,f2(x49412))+E(x49413,f2(x49412))+~E(f313(f313(f74(x49412),x49413),x49411),f2(x49412))
% 119.46/119.25 [5327]~P124(x53273)+E(x53271,x53272)+E(x53271,f313(f72(x53273),x53272))+~E(f313(f313(f74(x53273),x53271),x53271),f313(f313(f74(x53273),x53272),x53272))
% 119.46/119.25 [5366]~P100(x53661)+E(f313(f72(x53661),x53662),x53663)+~E(f313(f313(f92(x53661),x53662),x53663),f230(x53661))+~E(f313(f313(f93(x53661),x53662),x53663),f178(x53661))
% 119.46/119.25 [5440]~P4(x54403)+E(x54401,x54402)+P1(f313(f313(f223(x54403),x54402),x54401))+P1(f313(f313(f223(x54403),x54401),x54402))
% 119.46/119.25 [5441]~P4(x54413)+E(x54411,x54412)+P1(f313(f313(f223(x54413),x54412),x54411))+P1(f313(f313(f223(x54413),x54411),x54412))
% 119.46/119.25 [5442]~P4(x54423)+E(x54421,x54422)+P1(f313(f313(f223(x54423),x54422),x54421))+P1(f313(f313(f223(x54423),x54421),x54422))
% 119.46/119.25 [5443]~P4(x54433)+E(x54431,x54432)+P1(f313(f313(f223(x54433),x54432),x54431))+P1(f313(f313(f223(x54433),x54431),x54432))
% 119.46/119.25 [5444]~P4(x54443)+E(x54441,x54442)+P1(f313(f313(f223(x54443),x54442),x54441))+P1(f313(f313(f223(x54443),x54441),x54442))
% 119.46/119.25 [5445]~P115(x54453)+E(x54451,x54452)+P1(f313(f313(f223(x54453),x54452),x54451))+P1(f313(f313(f223(x54453),x54451),x54452))
% 119.46/119.25 [5446]~P4(x54463)+E(x54461,x54462)+P1(f313(f313(f223(x54463),x54462),x54461))+P1(f313(f313(f223(x54463),x54461),x54462))
% 119.46/119.25 [5447]~E(x54472,x54473)+~P4(x54471)+P1(f313(f313(f223(x54471),x54472),x54473))+P1(f313(f313(f222(x54471),x54472),x54473))
% 119.46/119.25 [5621]P151(x56212,x56211,x56213)+E(x56211,f2(a1))+P1(f313(f313(f223(a1),x56211),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x56211))
% 119.46/119.25 [5622]P150(x56222,x56221,x56223)+E(x56221,f2(a1))+P1(f313(f313(f223(a1),x56221),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x56221))
% 119.46/119.25 [5647]E(x56471,x56472)+P1(f313(f313(x56473,x56471),x56472))+P1(f313(f313(f223(a883),x56472),x56471))+P1(f313(f313(f223(a883),x56471),x56472))
% 119.46/119.25 [5710]~P3(x57103)+E(x57101,x57102)+~P1(f313(f313(f222(x57103),x57102),x57101))+P1(f313(f313(f223(x57103),x57102),x57101))
% 119.46/119.25 [5711]~P3(x57113)+E(x57111,x57112)+~P1(f313(f313(f222(x57113),x57111),x57112))+P1(f313(f313(f223(x57113),x57111),x57112))
% 119.46/119.25 [5712]~P3(x57123)+E(x57121,x57122)+~P1(f313(f313(f222(x57123),x57121),x57122))+P1(f313(f313(f223(x57123),x57121),x57122))
% 119.46/119.25 [5713]~P3(x57133)+E(x57131,x57132)+~P1(f313(f313(f222(x57133),x57131),x57132))+P1(f313(f313(f223(x57133),x57131),x57132))
% 119.46/119.25 [5714]~P3(x57143)+E(x57141,x57142)+~P1(f313(f313(f222(x57143),x57141),x57142))+P1(f313(f313(f223(x57143),x57141),x57142))
% 119.46/119.25 [5715]~P3(x57153)+E(x57151,x57152)+~P1(f313(f313(f222(x57153),x57151),x57152))+P1(f313(f313(f223(x57153),x57151),x57152))
% 119.46/119.25 [5716]~P3(x57163)+E(x57161,x57162)+~P1(f313(f313(f222(x57163),x57161),x57162))+P1(f313(f313(f223(x57163),x57161),x57162))
% 119.46/119.25 [5717]~P4(x57173)+E(x57171,x57172)+~P1(f313(f313(f222(x57173),x57171),x57172))+P1(f313(f313(f223(x57173),x57171),x57172))
% 119.46/119.25 [5718]~P4(x57183)+E(x57181,x57182)+~P1(f313(f313(f222(x57183),x57181),x57182))+P1(f313(f313(f223(x57183),x57181),x57182))
% 119.46/119.25 [5833]P150(x58331,x58332,x58333)+~P1(f313(x58331,x58333))+P1(f313(f313(f223(a1),x58332),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x58332))
% 119.46/119.25 [5884]P151(x58841,x58842,x58843)+~P1(f313(x58841,f2(a1)))+P1(f313(f313(f223(a1),x58842),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x58842))
% 119.46/119.25 [5888]~P103(x58881)+E(f313(f313(f92(x58881),x58882),f12(x58881,x58883)),x58882)+~P1(f313(f54(x58881),x58883))+~P1(f313(f313(f315(x58881),x58882),x58883))
% 119.46/119.25 [5889]~P103(x58891)+E(f313(f313(f93(x58891),x58892),f15(x58891,x58893)),x58892)+~P1(f313(f54(x58891),x58893))+~P1(f313(f313(f315(x58891),x58892),x58893))
% 119.46/119.25 [5928]~P4(x59281)+E(f313(f313(f227(x59281),x59282),f17(x59281,x59283)),f17(x59281,x59283))+~P1(f313(f54(x59281),x59283))+~P1(f313(f313(f315(x59281),x59282),x59283))
% 119.46/119.25 [5929]~P4(x59291)+E(f313(f313(f177(x59291),x59292),f16(x59291,x59293)),f16(x59291,x59293))+~P1(f313(f54(x59291),x59293))+~P1(f313(f313(f315(x59291),x59292),x59293))
% 119.46/119.25 [5930]~P103(x59301)+E(f313(f313(f92(x59301),x59302),f15(x59301,x59303)),f15(x59301,x59303))+~P1(f313(f54(x59301),x59303))+~P1(f313(f313(f315(x59301),x59302),x59303))
% 119.46/119.25 [5931]~P103(x59311)+E(f313(f313(f93(x59311),x59312),f12(x59311,x59313)),f12(x59311,x59313))+~P1(f313(f54(x59311),x59313))+~P1(f313(f313(f315(x59311),x59312),x59313))
% 119.46/119.25 [5968]E(x59681,x59682)+~P3(x59683)+~P1(f313(f313(f222(x59683),x59682),x59681))+~P1(f313(f313(f222(x59683),x59681),x59682))
% 119.46/119.25 [5969]E(x59691,x59692)+~P3(x59693)+~P1(f313(f313(f222(x59693),x59692),x59691))+~P1(f313(f313(f222(x59693),x59691),x59692))
% 119.46/119.25 [5970]E(x59701,x59702)+~P3(x59703)+~P1(f313(f313(f222(x59703),x59702),x59701))+~P1(f313(f313(f222(x59703),x59701),x59702))
% 119.46/119.25 [5971]E(x59711,x59712)+~P3(x59713)+~P1(f313(f313(f222(x59713),x59712),x59711))+~P1(f313(f313(f222(x59713),x59711),x59712))
% 119.46/119.25 [5973]~E(x59731,x59732)+~P4(x59733)+~P1(f313(f313(f222(x59733),x59731),x59732))+~P1(f313(f313(f223(x59733),x59731),x59732))
% 119.46/119.25 [6120]~P113(x61201)+P1(f313(f313(f223(x61201),x61203),x61202))+~P1(f313(f313(f222(x61201),x61203),x61202))+P1(f313(f313(f222(x61201),x61202),x61203))
% 119.46/119.25 [6148]~P4(x61481)+~P1(f313(f54(x61481),x61483))+P1(f313(f313(f222(x61481),x61482),f16(x61481,x61483)))+~P1(f313(f313(f315(x61481),x61482),x61483))
% 119.46/119.25 [6198]~P4(x61981)+E(f313(f313(f227(x61981),x61982),f13(x61981,f177(x61981),x61983)),x61982)+~P1(f313(f54(x61981),x61983))+~P1(f313(f313(f315(x61981),x61982),x61983))
% 119.46/119.25 [6199]~P4(x61991)+E(f313(f313(f177(x61991),x61992),f14(x61991,f227(x61991),x61993)),x61992)+~P1(f313(f54(x61991),x61993))+~P1(f313(f313(f315(x61991),x61992),x61993))
% 119.46/119.25 [6349]E(x63491,x63492)+~E(f313(f313(f3(a883),x63491),x63493),f313(f313(f3(a883),x63492),x63493))+~P1(f313(f313(f222(a883),x63493),x63491))+~P1(f313(f313(f222(a883),x63493),x63492))
% 119.46/119.25 [6377]~P4(x63771)+~P1(f313(f54(x63771),x63772))+~P1(f313(f313(f315(x63771),x63773),x63772))+P1(f313(f313(f222(x63771),f17(x63771,x63772)),x63773))
% 119.46/119.25 [6422]E(x64221,f2(a883))+~P1(f313(f41(x64223,x64221),x64222))+P1(f313(f313(f223(a883),f2(a883)),x64221))+P1(f313(f313(f223(a883),x64221),f313(f244(a883,a883),x64222)))
% 119.46/119.25 [6446]P151(x64462,x64461,x64463)+E(x64461,f2(a1))+P1(f313(f313(f223(a1),x64461),f831(x64463,x64461,x64462)))+P1(f313(f313(f223(a1),f2(a1)),x64461))
% 119.46/119.25 [6447]P150(x64472,x64471,x64473)+E(x64471,f2(a1))+P1(f313(f313(f223(a1),x64471),f832(x64473,x64471,x64472)))+P1(f313(f313(f223(a1),f2(a1)),x64471))
% 119.46/119.25 [6448]~P4(x64481)+E(f313(f313(f227(x64481),x64482),f14(x64481,f227(x64481),x64483)),f14(x64481,f227(x64481),x64483))+~P1(f313(f54(x64481),x64483))+~P1(f313(f313(f315(x64481),x64482),x64483))
% 119.46/119.25 [6449]~P4(x64491)+E(f313(f313(f177(x64491),x64492),f13(x64491,f177(x64491),x64493)),f13(x64491,f177(x64491),x64493))+~P1(f313(f54(x64491),x64493))+~P1(f313(f313(f315(x64491),x64492),x64493))
% 119.46/119.25 [6456]~P1(f313(x64561,x64562))+P1(f313(x64561,f798(x64562,x64561,x64563)))+P1(f313(x64561,f2(a883)))+~P1(f313(f313(f223(a883),x64562),x64563))
% 119.46/119.25 [6497]~P1(f313(f313(f273(a883),x64972),x64971))+~P1(f313(f313(f273(a883),x64971),x64973))+P1(f313(f313(f273(a883),x64971),x64972))+P1(f313(f313(f273(a883),x64972),x64973))
% 119.46/119.25 [6498]~P1(f313(f313(f273(a883),x64983),x64982))+~P1(f313(f313(f273(a883),x64982),x64981))+P1(f313(f313(f273(a883),x64981),x64982))+P1(f313(f313(f273(a883),x64983),x64981))
% 119.46/119.25 [6517]~P1(f313(x65171,x65172))+~P1(f313(f54(x65173),x65172))+P1(f313(x65171,f441(x65171,x65172,x65173)))+P1(f313(x65171,f178(f890(x65173,a881))))
% 119.46/119.25 [6530]~P115(x65301)+~P98(x65301)+P1(f313(f313(f222(x65301),f313(f95(x65301),x65302)),f313(f95(x65301),x65303)))+~P1(f313(f313(f222(a1),x65302),x65303))
% 119.46/119.25 [6531]~P115(x65311)+~P98(x65311)+P1(f313(f313(f223(x65311),f313(f95(x65311),x65312)),f313(f95(x65311),x65313)))+~P1(f313(f313(f223(a1),x65312),x65313))
% 119.46/119.25 [6534]~P1(f313(x65341,x65343))+~P1(f313(f54(x65342),x65343))+P1(f313(f54(x65342),f441(x65341,x65343,x65342)))+P1(f313(x65341,f178(f890(x65342,a881))))
% 119.46/119.25 [6569]P150(x65691,x65692,x65693)+~P1(f313(x65691,x65693))+P1(f313(f313(f223(a1),x65692),f832(x65693,x65692,x65691)))+P1(f313(f313(f223(a1),f2(a1)),x65692))
% 119.46/119.25 [6607]P151(x66071,x66072,x66073)+P1(f313(f313(f223(a1),x66072),f831(x66073,x66072,x66071)))+~P1(f313(x66071,f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x66072))
% 119.46/119.25 [6642]~P112(x66421)+~P99(x66421)+E(f313(f313(f227(x66421),f313(f95(x66421),x66422)),f313(f95(x66421),x66423)),f313(f95(x66421),x66423))+P1(f313(f313(f222(x66421),f313(f95(x66421),x66422)),f313(f95(x66421),x66423)))
% 119.46/119.25 [6643]~P112(x66431)+~P99(x66431)+E(f313(f313(f177(x66431),f313(f95(x66431),x66432)),f313(f95(x66431),x66433)),f313(f95(x66431),x66432))+P1(f313(f313(f222(x66431),f313(f95(x66431),x66432)),f313(f95(x66431),x66433)))
% 119.46/119.25 [6650]E(x66501,f2(a883))+~P1(f313(f41(x66503,x66501),x66502))+~P1(f313(f313(f223(a883),f2(a883)),x66501))+P1(f313(f313(f222(a883),f2(a883)),f313(f244(a883,a883),x66502)))
% 119.46/119.25 [6657]~P1(f313(f313(f273(a883),x66571),x66573))+~P1(f313(f313(f273(a883),x66572),x66571))+~P1(f313(f313(f273(a883),x66573),x66572))+P1(f313(f313(f273(a883),x66571),x66572))
% 119.46/119.25 [6658]~P1(f313(f313(f273(a883),x66581),x66583))+~P1(f313(f313(f273(a883),x66582),x66581))+P1(f313(f313(f273(a883),x66581),x66582))+~P1(f313(f313(f273(a883),x66583),x66582))
% 119.46/119.25 [6707]P151(x67072,x67071,x67073)+E(x67071,f2(a1))+~P1(f313(x67072,f829(x67073,x67071,x67072)))+P1(f313(f313(f223(a1),f2(a1)),x67071))
% 119.46/119.25 [6708]P150(x67082,x67081,x67083)+E(x67081,f2(a1))+~P1(f313(x67082,f832(x67083,x67081,x67082)))+P1(f313(f313(f223(a1),f2(a1)),x67081))
% 119.46/119.25 [6712]P1(f313(x67121,x67122))+~P1(f313(f54(x67123),x67122))+P1(f313(x67121,f652(x67121,x67122,x67123)))+~P1(f313(x67121,f178(f890(x67123,a881))))
% 119.46/119.25 [6729]~P99(x67291)+~P66(x67291)+~E(f38(x67291,f313(f95(x67291),x67293),f313(f95(x67291),x67292)),f2(x67291))+P1(f313(f313(f273(x67291),f313(f95(x67291),x67292)),f313(f95(x67291),x67293)))
% 119.46/119.25 [6734]P1(f313(x67341,x67342))+P1(f313(f54(x67343),f652(x67341,x67342,x67343)))+~P1(f313(f54(x67343),x67342))+~P1(f313(x67341,f178(f890(x67343,a881))))
% 119.46/119.25 [6803]P150(x68031,x68032,x68033)+~P1(f313(x68031,x68033))+~P1(f313(x68031,f832(x68033,x68032,x68031)))+P1(f313(f313(f223(a1),f2(a1)),x68032))
% 119.46/119.25 [6834]P151(x68341,x68342,x68343)+~P1(f313(x68341,f829(x68343,x68342,x68341)))+~P1(f313(x68341,f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x68342))
% 119.46/119.25 [6845]E(x68451,f2(a883))+~P1(f313(f41(x68453,x68451),x68452))+P1(f313(f313(f222(a883),f313(f244(a883,a883),x68452)),f2(a883)))+P1(f313(f313(f223(a883),f2(a883)),x68451))
% 119.46/119.25 [6949]~P98(x69493)+~P115(x69493)+~P1(f313(f313(f222(x69493),f313(f95(x69493),x69491)),f313(f95(x69493),x69492)))+P1(f313(f313(f222(a1),x69491),x69492))
% 119.46/119.25 [6950]~P98(x69503)+~P115(x69503)+~P1(f313(f313(f223(x69503),f313(f95(x69503),x69501)),f313(f95(x69503),x69502)))+P1(f313(f313(f223(a1),x69501),x69502))
% 119.46/119.25 [6981]~P4(x69811)+~P13(x69811,x69813)+P13(x69811,f313(f313(f139(x69811),x69812),x69813))+~P1(f313(f313(f222(x69811),x69812),f725(x69813,x69812,x69811)))
% 119.46/119.25 [6982]~P4(x69821)+~P13(x69821,x69823)+P13(x69821,f313(f313(f139(x69821),x69822),x69823))+~P1(f313(f313(f222(x69821),x69822),f727(x69823,x69822,x69821)))
% 119.46/119.25 [6983]~P4(x69831)+~P13(x69831,x69833)+P13(x69831,f313(f313(f139(x69831),x69832),x69833))+~P1(f313(f313(f222(x69831),x69832),f770(x69832,x69833,x69831)))
% 119.46/119.25 [7056]~P99(x70561)+~P66(x70561)+E(f38(x70561,f313(f95(x70561),x70562),f313(f95(x70561),x70563)),f2(x70561))+~P1(f313(f313(f273(x70561),f313(f95(x70561),x70563)),f313(f95(x70561),x70562)))
% 119.46/119.25 [7070]P151(x70702,x70701,x70703)+E(x70701,f2(a1))+P1(f313(f313(f223(a1),x70701),f2(a1)))+P1(f313(f313(f223(a1),f827(x70703,x70701,x70702)),x70701))
% 119.46/119.25 [7071]P150(x70712,x70711,x70713)+E(x70711,f2(a1))+P1(f313(f313(f223(a1),x70711),f2(a1)))+P1(f313(f313(f223(a1),f833(x70713,x70711,x70712)),x70711))
% 119.46/119.25 [7075]~P4(x70751)+~P99(x70751)+P1(f313(f313(f222(x70751),f313(f95(x70751),x70752)),f313(f95(x70751),x70753)))+P1(f313(f313(f223(x70751),f313(f95(x70751),x70753)),f313(f95(x70751),x70752)))
% 119.46/119.25 [7107]P151(x71072,x71071,x71073)+E(x71071,f2(a1))+P1(f313(f313(f222(a1),f831(x71073,x71071,x71072)),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x71071))
% 119.46/119.25 [7108]P150(x71082,x71081,x71083)+E(x71081,f2(a1))+P1(f313(f313(f222(a1),f832(x71083,x71081,x71082)),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x71081))
% 119.46/119.25 [7133]~P4(x71331)+~P13(x71331,x71333)+E(f313(f313(f136(x71331,x71331,f7(x71331)),x71332),f158(x71331,x71332,x71333)),x71333)+~P1(f313(f313(f315(x71331),x71332),f313(f160(x71331),x71333)))
% 119.46/119.25 [7181]P150(x71811,x71812,x71813)+~P1(f313(x71811,x71813))+P1(f313(f313(f223(a1),x71812),f2(a1)))+P1(f313(f313(f223(a1),f833(x71813,x71812,x71811)),x71812))
% 119.46/119.25 [7187]~P112(x71871)+~P99(x71871)+E(f313(f313(f227(x71871),f313(f95(x71871),x71872)),f313(f95(x71871),x71873)),f313(f95(x71871),x71872))+~P1(f313(f313(f222(x71871),f313(f95(x71871),x71872)),f313(f95(x71871),x71873)))
% 119.46/119.25 [7188]~P112(x71881)+~P99(x71881)+E(f313(f313(f177(x71881),f313(f95(x71881),x71882)),f313(f95(x71881),x71883)),f313(f95(x71881),x71883))+~P1(f313(f313(f222(x71881),f313(f95(x71881),x71882)),f313(f95(x71881),x71883)))
% 119.46/119.25 [7202]P151(x72021,x72022,x72023)+~P1(f313(x72021,f2(a1)))+P1(f313(f313(f223(a1),x72022),f2(a1)))+P1(f313(f313(f223(a1),f827(x72023,x72022,x72021)),x72022))
% 119.46/119.25 [7212]P150(x72121,x72122,x72123)+~P1(f313(x72121,x72123))+P1(f313(f313(f222(a1),f832(x72123,x72122,x72121)),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x72122))
% 119.46/119.25 [7237]P151(x72371,x72372,x72373)+~P1(f313(x72371,f2(a1)))+P1(f313(f313(f222(a1),f831(x72373,x72372,x72371)),f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x72372))
% 119.46/119.25 [7263]~P1(f313(x72631,x72632))+P1(f313(x72631,f2(a883)))+~P1(f313(f313(f223(a883),x72632),x72633))+P1(f313(f313(f223(a883),f798(x72632,x72631,x72633)),x72633))
% 119.46/119.25 [7280]~P4(x72801)+~P13(x72801,x72803)+P13(x72801,f313(f313(f139(x72801),x72802),x72803))+P1(f313(f313(f315(x72801),f725(x72803,x72802,x72801)),f313(f160(x72801),x72803)))
% 119.46/119.25 [7281]~P4(x72811)+~P13(x72811,x72813)+P13(x72811,f313(f313(f139(x72811),x72812),x72813))+P1(f313(f313(f315(x72811),f727(x72813,x72812,x72811)),f313(f160(x72811),x72813)))
% 119.46/119.25 [7282]~P4(x72821)+~P13(x72821,x72823)+P13(x72821,f313(f313(f139(x72821),x72822),x72823))+P1(f313(f313(f315(x72821),f770(x72822,x72823,x72821)),f313(f160(x72821),x72823)))
% 119.46/119.25 [7401]~P4(x74011)+~P5(x74011)+~P1(f313(f313(f223(x74011),x74013),f30(x74011,x74012)))+P1(f313(f313(f315(x74011),f606(x74012,x74013,x74011)),x74012))
% 119.46/119.25 [7560]~P4(x75601)+~P5(x75601)+~P1(f313(f313(f223(x75601),f31(x75601,x75603)),x75602))+P1(f313(f313(f315(x75601),f628(x75602,x75603,x75601)),x75603))
% 119.46/119.25 [7561]~P4(x75611)+~P5(x75611)+~P1(f313(f313(f223(x75611),f31(x75611,x75613)),x75612))+P1(f313(f313(f223(x75611),f628(x75612,x75613,x75611)),x75612))
% 119.46/119.25 [7574]P151(x75742,x75741,x75743)+E(x75741,f2(a1))+P1(f313(f313(f223(a1),x75741),f831(x75743,x75741,x75742)))+P1(f313(f313(f223(a1),f827(x75743,x75741,x75742)),x75741))
% 119.46/119.25 [7575]P150(x75752,x75751,x75753)+E(x75751,f2(a1))+P1(f313(f313(f223(a1),x75751),f832(x75753,x75751,x75752)))+P1(f313(f313(f223(a1),f833(x75753,x75751,x75752)),x75751))
% 119.46/119.25 [7669]P151(x76693,x76691,x76692)+E(x76691,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x76691),f829(x76692,x76691,x76693))),f831(x76692,x76691,x76693)),x76692)+P1(f313(f313(f223(a1),f2(a1)),x76691))
% 119.46/119.25 [7670]P150(x76703,x76701,x76702)+E(x76701,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x76701),f835(x76702,x76701,x76703))),f832(x76702,x76701,x76703)),x76702)+P1(f313(f313(f223(a1),f2(a1)),x76701))
% 119.46/119.25 [7671]~P139(x76711)+~P1(f313(f313(f222(x76711),x76712),f2(x76711)))+P1(f313(f313(f222(x76711),f313(f313(f74(x76711),x76712),x76713)),f2(x76711)))+~P1(f313(f313(f222(x76711),f2(x76711)),x76713))
% 119.46/119.25 [7672]~P130(x76721)+~P1(f313(f313(f222(x76721),x76723),f2(x76721)))+P1(f313(f313(f222(x76721),f313(f313(f74(x76721),x76722),x76723)),f2(x76721)))+~P1(f313(f313(f222(x76721),f2(x76721)),x76722))
% 119.46/119.25 [7673]~P130(x76731)+~P1(f313(f313(f222(x76731),x76732),f2(x76731)))+P1(f313(f313(f222(x76731),f313(f313(f74(x76731),x76732),x76733)),f2(x76731)))+~P1(f313(f313(f222(x76731),f2(x76731)),x76733))
% 119.46/119.25 [7674]~P139(x76741)+~P1(f313(f313(f222(x76741),x76743),f2(x76741)))+P1(f313(f313(f222(x76741),f313(f313(f74(x76741),x76742),x76743)),f2(x76741)))+~P1(f313(f313(f222(x76741),f2(x76741)),x76742))
% 119.46/119.25 [7675]~P139(x76751)+~P1(f313(f313(f222(x76751),x76753),f2(x76751)))+P1(f313(f313(f222(x76751),f313(f313(f74(x76751),x76752),x76753)),f2(x76751)))+~P1(f313(f313(f222(x76751),f2(x76751)),x76752))
% 119.46/119.25 [7676]~P139(x76761)+~P1(f313(f313(f222(x76761),x76762),f2(x76761)))+P1(f313(f313(f222(x76761),f313(f313(f74(x76761),x76762),x76763)),f2(x76761)))+~P1(f313(f313(f222(x76761),f2(x76761)),x76763))
% 119.46/119.25 [7677]~P139(x76771)+~P1(f313(f313(f222(x76771),x76772),f2(x76771)))+P1(f313(f313(f222(x76771),f313(f313(f74(x76771),x76772),x76773)),f2(x76771)))+~P1(f313(f313(f222(x76771),f2(x76771)),x76773))
% 119.46/119.25 [7678]~P72(x76781)+~P1(f313(f313(f222(x76781),x76783),f2(x76781)))+P1(f313(f313(f222(x76781),f313(f313(f277(x76781),x76782),x76783)),f2(x76781)))+~P1(f313(f313(f222(x76781),f2(x76781)),x76782))
% 119.46/119.25 [7679]~P72(x76791)+~P1(f313(f313(f222(x76791),x76792),f2(x76791)))+P1(f313(f313(f222(x76791),f313(f313(f277(x76791),x76792),x76793)),f2(x76791)))+~P1(f313(f313(f222(x76791),f2(x76791)),x76793))
% 119.46/119.25 [7680]~P73(x76801)+~P1(f313(f313(f222(x76801),x76802),f2(x76801)))+P1(f313(f313(f222(x76801),f313(f313(f277(x76801),x76802),x76803)),f2(x76801)))+~P1(f313(f313(f223(x76801),f2(x76801)),x76803))
% 119.46/119.25 [7681]~P73(x76811)+~P1(f313(f313(f223(x76811),x76813),f2(x76811)))+P1(f313(f313(f222(x76811),f313(f313(f277(x76811),x76812),x76813)),f2(x76811)))+~P1(f313(f313(f222(x76811),f2(x76811)),x76812))
% 119.46/119.25 [7682]~P132(x76821)+~P1(f313(f313(f223(x76821),x76822),f2(x76821)))+P1(f313(f313(f223(x76821),f313(f313(f74(x76821),x76822),x76823)),f2(x76821)))+~P1(f313(f313(f223(x76821),f2(x76821)),x76823))
% 119.46/119.25 [7683]~P132(x76831)+~P1(f313(f313(f223(x76831),x76833),f2(x76831)))+P1(f313(f313(f223(x76831),f313(f313(f74(x76831),x76832),x76833)),f2(x76831)))+~P1(f313(f313(f223(x76831),f2(x76831)),x76832))
% 119.46/119.25 [7684]~P132(x76841)+~P1(f313(f313(f223(x76841),x76842),f2(x76841)))+P1(f313(f313(f223(x76841),f313(f313(f74(x76841),x76842),x76843)),f2(x76841)))+~P1(f313(f313(f223(x76841),f2(x76841)),x76843))
% 119.46/119.25 [7685]~P72(x76851)+~P1(f313(f313(f223(x76851),x76853),f2(x76851)))+P1(f313(f313(f223(x76851),f313(f313(f277(x76851),x76852),x76853)),f2(x76851)))+~P1(f313(f313(f223(x76851),f2(x76851)),x76852))
% 119.46/119.25 [7686]~P72(x76861)+~P1(f313(f313(f223(x76861),x76862),f2(x76861)))+P1(f313(f313(f223(x76861),f313(f313(f277(x76861),x76862),x76863)),f2(x76861)))+~P1(f313(f313(f223(x76861),f2(x76861)),x76863))
% 119.46/119.25 [7687]~P73(x76871)+~P1(f313(f313(f223(x76871),x76873),f2(x76871)))+P1(f313(f313(f223(x76871),f313(f313(f277(x76871),x76872),x76873)),f2(x76871)))+~P1(f313(f313(f223(x76871),f2(x76871)),x76872))
% 119.46/119.25 [7688]~P73(x76881)+~P1(f313(f313(f223(x76881),x76882),f2(x76881)))+P1(f313(f313(f223(x76881),f313(f313(f277(x76881),x76882),x76883)),f2(x76881)))+~P1(f313(f313(f223(x76881),f2(x76881)),x76883))
% 119.46/119.25 [7703]P150(x77031,x77032,x77033)+~P1(f313(x77031,x77033))+P1(f313(f313(f223(a1),x77032),f832(x77033,x77032,x77031)))+P1(f313(f313(f223(a1),f833(x77033,x77032,x77031)),x77032))
% 119.46/119.25 [7716]P151(x77161,x77162,x77163)+P1(f313(f313(f223(a1),x77162),f831(x77163,x77162,x77161)))+~P1(f313(x77161,f2(a1)))+P1(f313(f313(f223(a1),f827(x77163,x77162,x77161)),x77162))
% 119.46/119.25 [7769]P151(x77692,x77691,x77693)+E(x77691,f2(a1))+~P1(f313(x77692,f829(x77693,x77691,x77692)))+P1(f313(f313(f223(a1),f827(x77693,x77691,x77692)),x77691))
% 119.46/119.25 [7770]P150(x77702,x77701,x77703)+E(x77701,f2(a1))+~P1(f313(x77702,f832(x77703,x77701,x77702)))+P1(f313(f313(f223(a1),f833(x77703,x77701,x77702)),x77701))
% 119.46/119.25 [7780]P150(x77803,x77801,x77802)+~P1(f313(x77803,x77802))+E(f313(f313(f73(a1),f313(f313(f74(a1),x77801),f835(x77802,x77801,x77803))),f832(x77802,x77801,x77803)),x77802)+P1(f313(f313(f223(a1),f2(a1)),x77801))
% 119.46/119.25 [7795]P151(x77953,x77951,x77952)+E(f313(f313(f73(a1),f313(f313(f74(a1),x77951),f829(x77952,x77951,x77953))),f831(x77952,x77951,x77953)),x77952)+~P1(f313(x77953,f2(a1)))+P1(f313(f313(f223(a1),f2(a1)),x77951))
% 119.46/119.25 [7823]~P1(f313(x78231,x78233))+~P1(f313(f54(x78232),x78233))+P1(f313(f313(f315(x78232),f442(x78231,x78233,x78232)),f441(x78231,x78233,x78232)))+P1(f313(x78231,f178(f890(x78232,a881))))
% 119.46/119.25 [7834]P150(x78341,x78342,x78343)+~P1(f313(x78341,x78343))+~P1(f313(x78341,f832(x78343,x78342,x78341)))+P1(f313(f313(f223(a1),f833(x78343,x78342,x78341)),x78342))
% 119.46/119.25 [7840]P151(x78401,x78402,x78403)+~P1(f313(x78401,f829(x78403,x78402,x78401)))+~P1(f313(x78401,f2(a1)))+P1(f313(f313(f223(a1),f827(x78403,x78402,x78401)),x78402))
% 119.46/119.25 [7907]~P99(x79071)+~P4(x79071)+~P1(f313(f313(f222(x79071),f313(f95(x79071),x79072)),f313(f95(x79071),x79073)))+~P1(f313(f313(f223(x79071),f313(f95(x79071),x79073)),f313(f95(x79071),x79072)))
% 119.46/119.25 [7943]~P130(x79431)+~P1(f313(f313(f222(x79431),f313(f313(f74(x79431),x79433),x79432)),f2(x79431)))+P1(f313(f313(f222(x79431),x79432),f2(x79431)))+P1(f313(f313(f222(x79431),f2(x79431)),x79432))
% 119.46/119.25 [7944]~P130(x79441)+~P1(f313(f313(f222(x79441),f313(f313(f74(x79441),x79442),x79443)),f2(x79441)))+P1(f313(f313(f222(x79441),x79442),f2(x79441)))+P1(f313(f313(f222(x79441),f2(x79441)),x79442))
% 119.46/119.25 [7945]~P72(x79451)+~P1(f313(f313(f222(x79451),f313(f313(f277(x79451),x79453),x79452)),f2(x79451)))+P1(f313(f313(f222(x79451),x79452),f2(x79451)))+P1(f313(f313(f222(x79451),f2(x79451)),x79452))
% 119.46/119.25 [7946]~P72(x79461)+~P1(f313(f313(f222(x79461),f313(f313(f277(x79461),x79462),x79463)),f2(x79461)))+P1(f313(f313(f222(x79461),x79462),f2(x79461)))+P1(f313(f313(f222(x79461),f2(x79461)),x79462))
% 119.46/119.25 [7947]~P72(x79471)+~P1(f313(f313(f223(x79471),f313(f313(f277(x79471),x79473),x79472)),f2(x79471)))+P1(f313(f313(f223(x79471),x79472),f2(x79471)))+P1(f313(f313(f223(x79471),f2(x79471)),x79472))
% 119.46/119.25 [7948]~P72(x79481)+~P1(f313(f313(f223(x79481),f313(f313(f277(x79481),x79482),x79483)),f2(x79481)))+P1(f313(f313(f223(x79481),x79482),f2(x79481)))+P1(f313(f313(f223(x79481),f2(x79481)),x79482))
% 119.46/119.25 [7973]~P130(x79731)+~P1(f313(f313(f222(x79731),f313(f313(f74(x79731),x79732),x79733)),f2(x79731)))+P1(f313(f313(f222(x79731),f2(x79731)),x79732))+P1(f313(f313(f222(x79731),f2(x79731)),x79733))
% 119.46/119.25 [7974]~P72(x79741)+~P1(f313(f313(f222(x79741),f313(f313(f277(x79741),x79742),x79743)),f2(x79741)))+P1(f313(f313(f222(x79741),f2(x79741)),x79742))+P1(f313(f313(f222(x79741),f2(x79741)),x79743))
% 119.46/119.25 [7975]~P72(x79751)+~P1(f313(f313(f223(x79751),f313(f313(f277(x79751),x79752),x79753)),f2(x79751)))+P1(f313(f313(f223(x79751),f2(x79751)),x79752))+P1(f313(f313(f223(x79751),f2(x79751)),x79753))
% 119.46/119.25 [7996]P151(x79962,x79961,x79963)+E(x79961,f2(a1))+P1(f313(f313(f222(a1),f831(x79963,x79961,x79962)),f2(a1)))+P1(f313(f313(f223(a1),f827(x79963,x79961,x79962)),x79961))
% 119.46/119.25 [7997]P150(x79972,x79971,x79973)+E(x79971,f2(a1))+P1(f313(f313(f222(a1),f832(x79973,x79971,x79972)),f2(a1)))+P1(f313(f313(f223(a1),f833(x79973,x79971,x79972)),x79971))
% 119.46/119.25 [8003]~P114(x80031)+~P1(f313(f313(f223(x80031),x80032),f71(x80031)))+P1(f313(f313(f223(x80031),f313(f313(f232(x80031),x80032),f313(a103,x80033))),f71(x80031)))+~P1(f313(f313(f223(x80031),f2(x80031)),x80032))
% 119.46/119.25 [8057]~P4(x80571)+~E(x80573,f104(x80571))+~P13(x80571,f313(f156(x80571),x80573))+E(f313(f130(x80571,x80571,f313(f9(x80571,x80571,x80571),f177(x80571)),x80572),f313(f156(x80571),x80573)),x80572)
% 119.46/119.25 [8060]P150(x80601,x80602,x80603)+~P1(f313(x80601,x80603))+P1(f313(f313(f222(a1),f832(x80603,x80602,x80601)),f2(a1)))+P1(f313(f313(f223(a1),f833(x80603,x80602,x80601)),x80602))
% 119.46/119.25 [8068]P151(x80681,x80682,x80683)+~P1(f313(x80681,f2(a1)))+P1(f313(f313(f222(a1),f831(x80683,x80682,x80681)),f2(a1)))+P1(f313(f313(f223(a1),f827(x80683,x80682,x80681)),x80682))
% 119.46/119.25 [8285]P151(x82853,x82851,x82852)+E(x82851,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x82851),f829(x82852,x82851,x82853))),f831(x82852,x82851,x82853)),x82852)+P1(f313(f313(f223(a1),f827(x82852,x82851,x82853)),x82851))
% 119.46/119.25 [8286]P150(x82863,x82861,x82862)+E(x82861,f2(a1))+E(f313(f313(f73(a1),f313(f313(f74(a1),x82861),f835(x82862,x82861,x82863))),f832(x82862,x82861,x82863)),x82862)+P1(f313(f313(f223(a1),f833(x82862,x82861,x82863)),x82861))
% 119.46/119.25 [8321]P150(x83213,x83211,x83212)+~P1(f313(x83213,x83212))+E(f313(f313(f73(a1),f313(f313(f74(a1),x83211),f835(x83212,x83211,x83213))),f832(x83212,x83211,x83213)),x83212)+P1(f313(f313(f223(a1),f833(x83212,x83211,x83213)),x83211))
% 119.46/119.25 [8322]~P75(x83221)+~P79(x83221)+~P40(x83223)+E(f313(f313(f8(a883,x83221),f313(f313(f10(a1,x83221,a883),x83222),f91(a1))),f313(f296(a1,a883,a96),x83223)),f313(f313(f8(a1,x83221),x83222),x83223))
% 119.46/119.25 [8323]~P75(x83231)+~P79(x83231)+~P40(x83233)+E(f313(f313(f11(a883,x83231),f313(f313(f10(a1,x83231,a883),x83232),f91(a1))),f313(f296(a1,a883,a96),x83233)),f313(f313(f11(a1,x83231),x83232),x83233))
% 119.46/119.25 [8332]P151(x83323,x83321,x83322)+E(f313(f313(f73(a1),f313(f313(f74(a1),x83321),f829(x83322,x83321,x83323))),f831(x83322,x83321,x83323)),x83322)+~P1(f313(x83323,f2(a1)))+P1(f313(f313(f223(a1),f827(x83322,x83321,x83323)),x83321))
% 119.46/119.25 [8353]~E(x83532,f2(a883))+~E(f313(f239(a883,a883),x83533),f2(a883))+~E(x83531,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x83533)),x83532)),f313(f244(a883,a883),x83533)))+P1(f313(f41(x83531,x83532),x83533))
% 119.46/119.25 [8408]P1(f313(x84081,x84082))+~P1(f313(f313(f315(x84083),f664(x84081,x84082,x84083)),f652(x84081,x84082,x84083)))+~P1(f313(f54(x84083),x84082))+~P1(f313(x84081,f178(f890(x84083,a881))))
% 119.46/119.25 [8934]~P3(x89341)+~P3(x89342)+P51(x89341,x89342,x89343)+~P1(f313(f313(f223(x89342),f313(x89343,f368(x89343,x89341,x89342))),f313(x89343,f375(x89343,x89341,x89342))))
% 119.46/119.25 [9009]P1(f313(x90091,x90092))+~P1(f313(f54(x90093),x90092))+~P1(f313(x90091,f313(f313(f295(x90093),f664(x90091,x90092,x90093)),f652(x90091,x90092,x90093))))+~P1(f313(x90091,f178(f890(x90093,a881))))
% 119.46/119.25 [9243]P1(f313(f313(f222(a1),x92431),f2(a1)))+~P1(f313(f313(f223(a1),f313(f313(f73(a1),f313(f313(f74(a1),x92433),x92431)),x92432)),f2(a1)))+~P1(f313(f313(f222(a1),f2(a1)),x92432))+~P1(f313(f313(f223(a1),f2(a1)),x92433))
% 119.46/119.25 [5780]~P103(x57802)+E(x57801,f178(f890(x57802,a881)))+~P1(f313(f54(x57802),x57801))+E(f15(x57802,f313(f313(f295(x57802),x57803),x57801)),f313(f313(f92(x57802),x57803),f15(x57802,x57801)))
% 119.46/119.25 [5781]~P4(x57812)+E(x57811,f178(f890(x57812,a881)))+~P1(f313(f54(x57812),x57811))+E(f16(x57812,f313(f313(f295(x57812),x57813),x57811)),f313(f313(f177(x57812),x57813),f16(x57812,x57811)))
% 119.46/119.25 [5782]~P4(x57822)+E(x57821,f178(f890(x57822,a881)))+~P1(f313(f54(x57822),x57821))+E(f17(x57822,f313(f313(f295(x57822),x57823),x57821)),f313(f313(f227(x57822),x57823),f17(x57822,x57821)))
% 119.46/119.25 [5783]~P103(x57832)+E(x57831,f178(f890(x57832,a881)))+~P1(f313(f54(x57832),x57831))+E(f12(x57832,f313(f313(f295(x57832),x57833),x57831)),f313(f313(f93(x57832),x57833),f12(x57832,x57831)))
% 119.46/119.25 [6116]~P130(x61161)+~E(x61163,f2(x61161))+~E(x61162,f2(x61161))+E(f313(f313(f73(x61161),f313(f313(f74(x61161),x61162),x61162)),f313(f313(f74(x61161),x61163),x61163)),f2(x61161))
% 119.46/119.25 [6191]~P101(x61912)+E(x61911,f178(f890(x61912,a881)))+~P1(f313(f54(x61912),x61911))+E(f313(f56(x61912,f74(x61912)),f313(f313(f295(x61912),x61913),x61911)),f313(f313(f74(x61912),x61913),f313(f56(x61912,f74(x61912)),x61911)))
% 119.46/119.25 [6323]~P4(x63232)+E(x63231,f178(f890(x63232,a881)))+~P1(f313(f54(x63232),x63231))+E(f13(x63232,f177(x63232),f313(f313(f295(x63232),x63233),x63231)),f313(f313(f177(x63232),x63233),f13(x63232,f177(x63232),x63231)))
% 119.46/119.25 [6324]~P4(x63242)+E(x63241,f178(f890(x63242,a881)))+~P1(f313(f54(x63242),x63241))+E(f14(x63242,f227(x63242),f313(f313(f295(x63242),x63243),x63241)),f313(f313(f227(x63242),x63243),f14(x63242,f227(x63242),x63241)))
% 119.46/119.25 [6753]~P103(x67531)+~P1(f313(f54(x67531),x67533))+E(f313(f313(f57(x67531,x67531,f92(x67531)),x67532),x67533),f15(x67531,f313(f313(f295(x67531),x67532),x67533)))+P1(f313(f313(f315(x67531),x67532),x67533))
% 119.46/119.25 [6754]~P4(x67541)+~P1(f313(f54(x67541),x67543))+E(f313(f313(f57(x67541,x67541,f177(x67541)),x67542),x67543),f16(x67541,f313(f313(f295(x67541),x67542),x67543)))+P1(f313(f313(f315(x67541),x67542),x67543))
% 119.46/119.25 [6755]~P4(x67551)+~P1(f313(f54(x67551),x67553))+E(f313(f313(f57(x67551,x67551,f227(x67551)),x67552),x67553),f17(x67551,f313(f313(f295(x67551),x67552),x67553)))+P1(f313(f313(f315(x67551),x67552),x67553))
% 119.46/119.25 [6756]~P103(x67561)+~P1(f313(f54(x67561),x67563))+E(f313(f313(f57(x67561,x67561,f93(x67561)),x67562),x67563),f12(x67561,f313(f313(f295(x67561),x67562),x67563)))+P1(f313(f313(f315(x67561),x67562),x67563))
% 119.46/119.25 [6868]~P64(x68681)+~P1(f313(f54(x68681),x68683))+E(f313(f56(x68681,f74(x68681)),f313(f313(f295(x68681),x68682),x68683)),f313(f313(f57(x68681,x68681,f74(x68681)),x68682),x68683))+P1(f313(f313(f315(x68681),x68682),x68683))
% 119.46/119.25 [6887]~P4(x68871)+~P1(f313(f54(x68871),x68873))+E(f13(x68871,f177(x68871),f313(f313(f295(x68871),x68872),x68873)),f313(f313(f57(x68871,x68871,f177(x68871)),x68872),x68873))+P1(f313(f313(f315(x68871),x68872),x68873))
% 119.46/119.25 [6888]~P4(x68881)+~P1(f313(f54(x68881),x68883))+E(f14(x68881,f227(x68881),f313(f313(f295(x68881),x68882),x68883)),f313(f313(f57(x68881,x68881,f227(x68881)),x68882),x68883))+P1(f313(f313(f315(x68881),x68882),x68883))
% 119.46/119.25 [6957]~E(f313(f313(f73(a1),x69572),f313(f313(f74(a1),x69573),x69571)),x69573)+~P1(f313(f313(f223(a1),f2(a1)),x69573))+P1(f313(f313(f222(a1),f71(a1)),x69571))+~P1(f313(f313(f223(a1),x69572),x69573))
% 119.46/119.25 [6988]~E(f313(f313(f73(a1),x69882),f313(f313(f74(a1),x69883),x69881)),x69883)+P1(f313(f313(f222(a1),x69881),f71(a1)))+~P1(f313(f313(f222(a1),f2(a1)),x69882))+~P1(f313(f313(f223(a1),f2(a1)),x69883))
% 119.46/119.25 [7005]E(x70051,f2(a883))+~P1(f313(f41(x70053,x70051),x70052))+~P1(f313(f313(f223(a883),f2(a883)),x70051))+P1(f313(f313(f223(a883),f313(f244(a883,a883),x70052)),x70051))
% 119.46/119.25 [7036]~P143(x70361)+~P1(f313(f313(f222(x70361),x70362),f2(x70361)))+~P1(f313(f313(f222(x70361),x70363),f2(x70361)))+E(f313(f313(f74(x70361),f313(f69(x70361),x70362)),f313(f69(x70361),x70363)),f313(f69(x70361),f313(f313(f74(x70361),x70362),x70363)))
% 119.46/119.25 [7083]~P143(x70831)+~P1(f313(f313(f222(x70831),x70832),f2(x70831)))+E(f313(f313(f74(x70831),f313(f69(x70831),x70832)),f313(f69(x70831),x70833)),f313(f69(x70831),f313(f313(f74(x70831),x70832),x70833)))+~P1(f313(f313(f222(x70831),f2(x70831)),x70833))
% 119.46/119.25 [7084]~P143(x70841)+~P1(f313(f313(f222(x70841),x70843),f2(x70841)))+E(f313(f313(f74(x70841),f313(f69(x70841),x70842)),f313(f69(x70841),x70843)),f313(f69(x70841),f313(f313(f74(x70841),x70842),x70843)))+~P1(f313(f313(f222(x70841),f2(x70841)),x70842))
% 119.46/119.25 [7141]~P143(x71411)+E(f313(f313(f74(x71411),f313(f69(x71411),x71412)),f313(f69(x71411),x71413)),f313(f69(x71411),f313(f313(f74(x71411),x71412),x71413)))+~P1(f313(f313(f222(x71411),f2(x71411)),x71412))+~P1(f313(f313(f222(x71411),f2(x71411)),x71413))
% 119.46/119.25 [7158]~P130(x71581)+~P1(f313(f313(f222(x71581),x71583),f2(x71581)))+~P1(f313(f313(f222(x71581),x71582),f2(x71581)))+P1(f313(f313(f222(x71581),f2(x71581)),f313(f313(f74(x71581),x71582),x71583)))
% 119.46/119.25 [7159]~P140(x71591)+~P1(f313(f313(f222(x71591),x71593),f2(x71591)))+~P1(f313(f313(f222(x71591),x71592),f2(x71591)))+P1(f313(f313(f222(x71591),f2(x71591)),f313(f313(f74(x71591),x71592),x71593)))
% 119.46/119.25 [7160]~P140(x71601)+~P1(f313(f313(f222(x71601),x71603),f2(x71601)))+~P1(f313(f313(f222(x71601),x71602),f2(x71601)))+P1(f313(f313(f222(x71601),f2(x71601)),f313(f313(f74(x71601),x71602),x71603)))
% 119.46/119.25 [7161]~P72(x71611)+~P1(f313(f313(f222(x71611),x71613),f2(x71611)))+~P1(f313(f313(f222(x71611),x71612),f2(x71611)))+P1(f313(f313(f222(x71611),f2(x71611)),f313(f313(f277(x71611),x71612),x71613)))
% 119.46/119.25 [7162]~P73(x71621)+~P1(f313(f313(f223(x71621),x71623),f2(x71621)))+~P1(f313(f313(f222(x71621),x71622),f2(x71621)))+P1(f313(f313(f222(x71621),f2(x71621)),f313(f313(f277(x71621),x71622),x71623)))
% 119.46/119.25 [7163]~P130(x71631)+~P1(f313(f313(f223(x71631),x71633),f2(x71631)))+~P1(f313(f313(f223(x71631),x71632),f2(x71631)))+P1(f313(f313(f223(x71631),f2(x71631)),f313(f313(f74(x71631),x71632),x71633)))
% 119.46/119.25 [7164]~P72(x71641)+~P1(f313(f313(f223(x71641),x71643),f2(x71641)))+~P1(f313(f313(f223(x71641),x71642),f2(x71641)))+P1(f313(f313(f223(x71641),f2(x71641)),f313(f313(f277(x71641),x71642),x71643)))
% 119.46/119.25 [7165]~P73(x71651)+~P1(f313(f313(f223(x71651),x71653),f2(x71651)))+~P1(f313(f313(f223(x71651),x71652),f2(x71651)))+P1(f313(f313(f223(x71651),f2(x71651)),f313(f313(f277(x71651),x71652),x71653)))
% 119.46/119.25 [7166]~P114(x71661)+~P1(f313(f313(f223(a883),f2(a883)),x71663))+~P1(f313(f313(f223(x71661),f71(x71661)),x71662))+P1(f313(f313(f223(x71661),f71(x71661)),f313(f313(f232(x71661),x71662),x71663)))
% 119.46/119.25 [7264]~P130(x72641)+~P1(f313(f313(f222(x72641),f2(x72641)),x72643))+~P1(f313(f313(f222(x72641),f2(x72641)),x72642))+P1(f313(f313(f222(x72641),f2(x72641)),f313(f313(f74(x72641),x72642),x72643)))
% 119.46/119.25 [7265]~P139(x72651)+~P1(f313(f313(f222(x72651),f2(x72651)),x72653))+~P1(f313(f313(f222(x72651),f2(x72651)),x72652))+P1(f313(f313(f222(x72651),f2(x72651)),f313(f313(f74(x72651),x72652),x72653)))
% 119.46/119.25 [7266]~P140(x72661)+~P1(f313(f313(f222(x72661),f2(x72661)),x72663))+~P1(f313(f313(f222(x72661),f2(x72661)),x72662))+P1(f313(f313(f222(x72661),f2(x72661)),f313(f313(f74(x72661),x72662),x72663)))
% 119.46/119.25 [7267]~P93(x72671)+~P1(f313(f313(f222(x72671),f2(x72671)),x72673))+~P1(f313(f313(f222(x72671),f2(x72671)),x72672))+P1(f313(f313(f222(x72671),f2(x72671)),f313(f313(f73(x72671),x72672),x72673)))
% 119.46/119.25 [7268]~P72(x72681)+~P1(f313(f313(f222(x72681),f2(x72681)),x72683))+~P1(f313(f313(f222(x72681),f2(x72681)),x72682))+P1(f313(f313(f222(x72681),f2(x72681)),f313(f313(f277(x72681),x72682),x72683)))
% 119.46/119.25 [7269]~P73(x72691)+~P1(f313(f313(f223(x72691),f2(x72691)),x72693))+~P1(f313(f313(f222(x72691),f2(x72691)),x72692))+P1(f313(f313(f222(x72691),f2(x72691)),f313(f313(f277(x72691),x72692),x72693)))
% 119.46/119.25 [7270]~P132(x72701)+~P1(f313(f313(f223(x72701),f2(x72701)),x72703))+~P1(f313(f313(f223(x72701),f2(x72701)),x72702))+P1(f313(f313(f223(x72701),f2(x72701)),f313(f313(f74(x72701),x72702),x72703)))
% 119.46/119.25 [7271]~P93(x72711)+~P1(f313(f313(f222(x72711),f2(x72711)),x72713))+~P1(f313(f313(f223(x72711),f2(x72711)),x72712))+P1(f313(f313(f223(x72711),f2(x72711)),f313(f313(f73(x72711),x72712),x72713)))
% 119.46/119.25 [7272]~P93(x72721)+~P1(f313(f313(f222(x72721),f2(x72721)),x72722))+~P1(f313(f313(f223(x72721),f2(x72721)),x72723))+P1(f313(f313(f223(x72721),f2(x72721)),f313(f313(f73(x72721),x72722),x72723)))
% 119.46/119.25 [7273]~P93(x72731)+~P1(f313(f313(f223(x72731),f2(x72731)),x72733))+~P1(f313(f313(f223(x72731),f2(x72731)),x72732))+P1(f313(f313(f223(x72731),f2(x72731)),f313(f313(f73(x72731),x72732),x72733)))
% 119.46/119.25 [7274]~P72(x72741)+~P1(f313(f313(f223(x72741),f2(x72741)),x72743))+~P1(f313(f313(f223(x72741),f2(x72741)),x72742))+P1(f313(f313(f223(x72741),f2(x72741)),f313(f313(f277(x72741),x72742),x72743)))
% 119.46/119.25 [7275]~P73(x72751)+~P1(f313(f313(f223(x72751),f2(x72751)),x72753))+~P1(f313(f313(f223(x72751),f2(x72751)),x72752))+P1(f313(f313(f223(x72751),f2(x72751)),f313(f313(f277(x72751),x72752),x72753)))
% 119.46/119.25 [7276]~P114(x72761)+~P1(f313(f313(f223(x72761),f71(x72761)),x72763))+~P1(f313(f313(f223(x72761),f71(x72761)),x72762))+P1(f313(f313(f223(x72761),f71(x72761)),f313(f313(f74(x72761),x72762),x72763)))
% 119.46/119.25 [7356]~P103(x73561)+~P1(f313(f54(x73561),x73563))+E(f15(x73561,f313(f313(f295(x73561),x73562),x73563)),x73562)+~E(f313(f313(f3(f890(x73561,a881)),x73563),f313(f313(f295(x73561),x73562),f178(f890(x73561,a881)))),f178(f890(x73561,a881)))
% 119.46/119.25 [7357]~P4(x73571)+~P1(f313(f54(x73571),x73573))+E(f16(x73571,f313(f313(f295(x73571),x73572),x73573)),x73572)+~E(f313(f313(f3(f890(x73571,a881)),x73573),f313(f313(f295(x73571),x73572),f178(f890(x73571,a881)))),f178(f890(x73571,a881)))
% 119.46/119.25 [7358]~P4(x73581)+~P1(f313(f54(x73581),x73583))+E(f17(x73581,f313(f313(f295(x73581),x73582),x73583)),x73582)+~E(f313(f313(f3(f890(x73581,a881)),x73583),f313(f313(f295(x73581),x73582),f178(f890(x73581,a881)))),f178(f890(x73581,a881)))
% 119.46/119.25 [7359]~P103(x73591)+~P1(f313(f54(x73591),x73593))+E(f12(x73591,f313(f313(f295(x73591),x73592),x73593)),x73592)+~E(f313(f313(f3(f890(x73591,a881)),x73593),f313(f313(f295(x73591),x73592),f178(f890(x73591,a881)))),f178(f890(x73591,a881)))
% 119.46/119.25 [7361]~P130(x73611)+P1(f313(f313(f222(x73611),x73612),f2(x73611)))+P1(f313(f313(f222(x73611),f2(x73611)),x73613))+~P1(f313(f313(f222(x73611),f2(x73611)),f313(f313(f74(x73611),x73613),x73612)))
% 119.46/119.25 [7362]~P130(x73621)+P1(f313(f313(f222(x73621),x73622),f2(x73621)))+P1(f313(f313(f222(x73621),f2(x73621)),x73623))+~P1(f313(f313(f222(x73621),f2(x73621)),f313(f313(f74(x73621),x73622),x73623)))
% 119.46/119.25 [7363]~P72(x73631)+P1(f313(f313(f222(x73631),x73632),f2(x73631)))+P1(f313(f313(f222(x73631),f2(x73631)),x73633))+~P1(f313(f313(f222(x73631),f2(x73631)),f313(f313(f277(x73631),x73633),x73632)))
% 119.46/119.25 [7364]~P72(x73641)+P1(f313(f313(f222(x73641),x73642),f2(x73641)))+P1(f313(f313(f222(x73641),f2(x73641)),x73643))+~P1(f313(f313(f222(x73641),f2(x73641)),f313(f313(f277(x73641),x73642),x73643)))
% 119.46/119.25 [7365]~P130(x73651)+P1(f313(f313(f222(x73651),x73652),f2(x73651)))+P1(f313(f313(f222(x73651),f2(x73651)),x73652))+~P1(f313(f313(f222(x73651),f2(x73651)),f313(f313(f74(x73651),x73653),x73652)))
% 119.46/119.25 [7366]~P130(x73661)+P1(f313(f313(f222(x73661),x73662),f2(x73661)))+P1(f313(f313(f222(x73661),f2(x73661)),x73662))+~P1(f313(f313(f222(x73661),f2(x73661)),f313(f313(f74(x73661),x73662),x73663)))
% 119.46/119.25 [7367]~P72(x73671)+P1(f313(f313(f222(x73671),x73672),f2(x73671)))+P1(f313(f313(f222(x73671),f2(x73671)),x73672))+~P1(f313(f313(f222(x73671),f2(x73671)),f313(f313(f277(x73671),x73673),x73672)))
% 119.46/119.25 [7368]~P72(x73681)+P1(f313(f313(f222(x73681),x73682),f2(x73681)))+P1(f313(f313(f222(x73681),f2(x73681)),x73682))+~P1(f313(f313(f222(x73681),f2(x73681)),f313(f313(f277(x73681),x73682),x73683)))
% 119.46/119.25 [7369]~P72(x73691)+P1(f313(f313(f223(x73691),x73692),f2(x73691)))+P1(f313(f313(f223(x73691),f2(x73691)),x73693))+~P1(f313(f313(f223(x73691),f2(x73691)),f313(f313(f277(x73691),x73693),x73692)))
% 119.46/119.25 [7370]~P72(x73701)+P1(f313(f313(f223(x73701),x73702),f2(x73701)))+P1(f313(f313(f223(x73701),f2(x73701)),x73703))+~P1(f313(f313(f223(x73701),f2(x73701)),f313(f313(f277(x73701),x73702),x73703)))
% 119.46/119.25 [7371]~P72(x73711)+P1(f313(f313(f223(x73711),x73712),f2(x73711)))+P1(f313(f313(f223(x73711),f2(x73711)),x73712))+~P1(f313(f313(f223(x73711),f2(x73711)),f313(f313(f277(x73711),x73713),x73712)))
% 119.46/119.25 [7372]~P72(x73721)+P1(f313(f313(f223(x73721),x73722),f2(x73721)))+P1(f313(f313(f223(x73721),f2(x73721)),x73722))+~P1(f313(f313(f223(x73721),f2(x73721)),f313(f313(f277(x73721),x73722),x73723)))
% 119.46/119.25 [7449]~P1(f313(f313(f273(a883),x74491),x74493))+P1(f313(f313(f273(a883),x74491),x74492))+~P1(f313(f313(f222(a883),x74492),x74493))+~P1(f313(f313(f273(a883),x74491),f313(f313(f3(a883),x74493),x74492)))
% 119.46/119.25 [7450]~P1(f313(f313(f273(a883),x74501),x74503))+P1(f313(f313(f273(a883),x74501),x74502))+~P1(f313(f313(f222(a883),x74503),x74502))+~P1(f313(f313(f273(a883),x74501),f313(f313(f3(a883),x74502),x74503)))
% 119.46/119.25 [7465]~E(f313(f313(f93(f890(x74651,a881)),f313(f160(x74651),x74652)),f313(f160(x74651),x74653)),f178(f890(x74651,a881)))+~P1(f313(f125(x74651),x74653))+~P1(f313(f125(x74651),x74652))+P1(f313(f125(x74651),f313(f313(f122(x74651),x74652),x74653)))
% 119.46/119.25 [7466]~P4(x74661)+~P1(f313(f54(x74661),x74663))+E(f13(x74661,f177(x74661),f313(f313(f295(x74661),x74662),x74663)),x74662)+~E(f313(f313(f3(f890(x74661,a881)),x74663),f313(f313(f295(x74661),x74662),f178(f890(x74661,a881)))),f178(f890(x74661,a881)))
% 119.46/119.25 [7467]~P4(x74671)+~P1(f313(f54(x74671),x74673))+E(f14(x74671,f227(x74671),f313(f313(f295(x74671),x74672),x74673)),x74672)+~E(f313(f313(f3(f890(x74671,a881)),x74673),f313(f313(f295(x74671),x74672),f178(f890(x74671,a881)))),f178(f890(x74671,a881)))
% 119.46/119.25 [7479]~P90(x74791)+~P1(f313(f313(f222(x74791),x74792),x74793))+~P1(f313(f313(f222(x74791),f313(f72(x74791),x74792)),x74793))+P1(f313(f313(f222(x74791),f313(f69(x74791),x74792)),x74793))
% 119.46/119.25 [7480]~P90(x74801)+~P1(f313(f313(f222(x74801),x74802),x74803))+~P1(f313(f313(f222(x74801),f313(f72(x74801),x74802)),x74803))+P1(f313(f313(f222(x74801),f313(f69(x74801),x74802)),x74803))
% 119.46/119.25 [7481]~P115(x74811)+~P1(f313(f313(f223(x74811),x74812),x74813))+~P1(f313(f313(f223(x74811),f313(f72(x74811),x74812)),x74813))+P1(f313(f313(f223(x74811),f313(f69(x74811),x74812)),x74813))
% 119.46/119.25 [7549]~P132(x75491)+P1(f313(f313(f223(x75491),f2(x75491)),x75492))+~P1(f313(f313(f223(x75491),f2(x75491)),x75493))+~P1(f313(f313(f223(x75491),f2(x75491)),f313(f313(f74(x75491),x75493),x75492)))
% 119.46/119.25 [7550]~P132(x75501)+P1(f313(f313(f223(x75501),f2(x75501)),x75502))+~P1(f313(f313(f223(x75501),f2(x75501)),x75503))+~P1(f313(f313(f223(x75501),f2(x75501)),f313(f313(f74(x75501),x75502),x75503)))
% 119.46/119.25 [7854]E(x78541,x78542)+~P1(f313(f54(x78543),x78541))+~P1(f313(f313(f222(a883),f313(f28(x78543),x78541)),f313(f28(x78543),x78542)))+~P1(f313(f313(f222(f890(x78543,a881)),x78542),x78541))
% 119.46/119.25 [7923]~P1(f313(f313(f222(a883),x79232),x79231))+~P1(f313(f313(f222(a883),x79232),x79233))+~P1(f313(f313(f222(a883),x79231),x79233))+P1(f313(f313(f222(a883),f313(f313(f3(a883),x79231),x79232)),f313(f313(f3(a883),x79233),x79232)))
% 119.46/119.25 [7924]~P1(f313(f313(f222(a883),x79242),x79241))+~P1(f313(f313(f222(a883),x79242),x79243))+~P1(f313(f313(f223(a883),x79241),x79243))+P1(f313(f313(f223(a883),f313(f313(f3(a883),x79241),x79242)),f313(f313(f3(a883),x79243),x79242)))
% 119.46/119.25 [8000]~P1(f313(f313(f223(a1),x80001),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x80002))+~P1(f313(f313(f222(a1),x80002),x80003))+P1(f313(f313(f222(a1),f313(f313(f29(a1),x80001),x80002)),f313(f313(f29(a1),x80001),x80003)))
% 119.46/119.25 [8011]~P1(f313(f313(f222(a1),f2(a1)),x80111))+~P1(f313(f313(f223(a1),f2(a1)),x80113))+~P1(f313(f313(f222(a1),x80113),x80112))+P1(f313(f313(f222(a1),f313(f313(f29(a1),x80111),x80112)),f313(f313(f29(a1),x80111),x80113)))
% 119.46/119.25 [8144]E(f313(x81441,f749(x81442,x81441,x81443)),x81442)+~P1(f313(f313(f222(a1),x81442),f313(x81441,x81443)))+P1(f313(f313(f223(a883),f742(x81442,x81441,x81443)),x81443))+~P1(f313(f313(f222(a1),f313(x81441,f2(a883))),x81442))
% 119.46/119.25 [8145]E(f313(x81451,f780(x81452,x81451,x81453)),x81452)+~P1(f313(f313(f222(a1),x81452),f313(x81451,x81453)))+P1(f313(f313(f223(a883),f758(x81452,x81451,x81453)),x81453))+~P1(f313(f313(f222(a1),f313(x81451,f2(a883))),x81452))
% 119.46/119.25 [8248]~P1(f313(f54(x82481),x82483))+~P1(f313(f313(f223(a883),f313(f28(x82481),x82482)),f313(f28(x82481),x82483)))+~P1(f313(f313(f222(f890(x82481,a881)),x82482),x82483))+P1(f313(f313(f223(f890(x82481,a881)),x82482),x82483))
% 119.46/119.25 [8275]E(f313(f313(f3(a1),f399(x82753,x82751,x82752)),f400(x82753,x82751,x82752)),x82751)+E(f313(f313(f73(a1),x82751),x82752),x82751)+~P1(f313(f313(f223(a1),f2(a1)),x82752))+~P1(f313(f313(f315(a1),f313(f313(f73(a1),x82751),f71(a1))),x82753))
% 119.46/119.25 [8276]E(f313(f313(f73(a1),f388(x82763,x82761,x82762)),f389(x82763,x82761,x82762)),x82761)+E(f313(f313(f3(a1),x82761),x82762),x82761)+~P1(f313(f313(f223(a1),f2(a1)),x82762))+~P1(f313(f313(f315(a1),f313(f313(f3(a1),x82761),f71(a1))),x82763))
% 119.46/119.25 [8327]~P1(f313(f313(f222(a883),x83273),x83271))+P1(f313(f313(f222(a883),x83271),x83272))+~P1(f313(f313(f222(a883),x83273),x83272))+~P1(f313(f313(f222(a883),f313(f313(f3(a883),x83271),x83273)),f313(f313(f3(a883),x83272),x83273)))
% 119.46/119.25 [8328]~P1(f313(f313(f222(a883),x83283),x83281))+P1(f313(f313(f223(a883),x83281),x83282))+~P1(f313(f313(f222(a883),x83283),x83282))+~P1(f313(f313(f223(a883),f313(f313(f3(a883),x83281),x83283)),f313(f313(f3(a883),x83282),x83283)))
% 119.46/119.25 [8347]~P4(x83472)+E(x83471,f104(x83472))+~P13(x83472,f313(f156(x83472),x83471))+E(f313(f130(x83472,x83472,f313(f9(x83472,x83472,x83472),f177(x83472)),x83473),f313(f156(x83472),x83471)),f313(f313(f177(x83472),f313(f313(f152(x83472),x83471),f2(a883))),x83473))
% 119.46/119.25 [8391]~P5(x83911)+~P39(x83911,x83911,x83913)+P1(f313(f313(f222(x83911),x83912),f87(x83911,x83913)))+~P1(f313(f313(f222(x83911),x83912),f313(x83913,f313(f313(f92(x83911),x83912),f87(x83911,x83913)))))
% 119.46/119.25 [8413]E(f313(f313(f73(a1),x84131),x84132),x84131)+~P1(f313(f313(f223(a1),f2(a1)),x84132))+P1(f313(f313(f315(a1),f399(x84133,x84131,x84132)),x84133))+~P1(f313(f313(f315(a1),f313(f313(f73(a1),x84131),f71(a1))),x84133))
% 119.46/119.25 [8414]E(f313(f313(f3(a1),x84141),x84142),x84141)+~P1(f313(f313(f223(a1),f2(a1)),x84142))+P1(f313(f313(f315(a1),f388(x84143,x84141,x84142)),x84143))+~P1(f313(f313(f315(a1),f313(f313(f3(a1),x84141),f71(a1))),x84143))
% 119.46/119.25 [8486]~P1(f313(f313(f222(a1),x84861),f313(x84862,x84863)))+P1(f313(f313(f223(a883),f742(x84861,x84862,x84863)),x84863))+P1(f313(f313(f222(a883),f749(x84861,x84862,x84863)),x84863))+~P1(f313(f313(f222(a1),f313(x84862,f2(a883))),x84861))
% 119.46/119.25 [8487]~P1(f313(f313(f222(a1),x84871),f313(x84872,x84873)))+P1(f313(f313(f223(a883),f758(x84871,x84872,x84873)),x84873))+P1(f313(f313(f222(a883),f780(x84871,x84872,x84873)),x84873))+~P1(f313(f313(f222(a1),f313(x84872,f2(a883))),x84871))
% 119.46/119.25 [8563]E(f313(f313(f73(a1),x85631),x85632),x85631)+~P1(f313(f313(f223(a1),f2(a1)),x85632))+P1(f313(f313(f315(a1),f400(x85633,x85631,x85632)),f289(a1,f71(a1),x85632)))+~P1(f313(f313(f315(a1),f313(f313(f73(a1),x85631),f71(a1))),x85633))
% 119.46/119.25 [8564]E(f313(f313(f3(a1),x85641),x85642),x85641)+~P1(f313(f313(f223(a1),f2(a1)),x85642))+P1(f313(f313(f315(a1),f389(x85643,x85641,x85642)),f289(a1,f71(a1),x85642)))+~P1(f313(f313(f315(a1),f313(f313(f3(a1),x85641),f71(a1))),x85643))
% 119.46/119.25 [8691]~P114(x86911)+~P1(f313(f313(f223(x86911),x86912),f71(x86911)))+~P1(f313(f313(f223(x86911),f2(x86911)),x86912))+P1(f313(f313(f223(x86911),f313(f313(f74(x86911),x86912),f313(f313(f232(x86911),x86912),x86913))),f313(f313(f232(x86911),x86912),x86913)))
% 119.46/119.25 [8771]~P1(f313(x87711,x87712))+P1(f313(x87711,f2(a883)))+~P1(f313(f313(f223(a883),x87712),x87713))+~P1(f313(x87711,f38(a883,f313(a103,f798(x87712,x87711,x87713)),x87713)))
% 119.46/119.25 [8916]E(f854(x89161,x89162,x89163),f2(a883))+P1(f313(f313(x89161,x89163),x89162))+P1(f313(f313(x89161,f854(x89161,x89162,x89163)),f38(a883,f851(x89161,x89162,x89163),f854(x89161,x89162,x89163))))+~P1(f313(f301(f889(a883,a883),a209),f313(f313(f240(a883,a883),x89163),x89162)))
% 119.46/119.25 [8954]~P24(x89541,x89541,x89542,x89543)+E(f313(f296(x89541,x89541,x89542),x89543),x89543)+~P1(f313(f54(x89541),x89543))+~P1(f313(f313(f222(f890(x89541,a881)),f313(f296(x89541,x89541,x89542),x89543)),x89543))
% 119.46/119.25 [9022]~P5(x90221)+~P39(x90221,x90221,x90223)+P1(f313(f313(f222(x90221),f313(f313(f92(x90221),x90222),f87(x90221,x90223))),f313(x90223,f313(f313(f92(x90221),x90222),f87(x90221,x90223)))))+~P1(f313(f313(f222(x90221),x90222),f313(x90223,f313(f313(f92(x90221),x90222),f87(x90221,x90223)))))
% 119.46/119.25 [9168]P1(f313(f313(x91681,x91682),x91683))+P1(f313(f313(f223(a1),f752(x91681,x91683,x91682)),f753(x91681,x91683,x91682)))+P1(f313(f313(x91681,f752(x91681,x91683,x91682)),f313(f313(f73(a1),f753(x91681,x91683,x91682)),f71(a1))))+~P1(f313(f301(f889(a1,a1),a121),f313(f313(f240(a1,a1),x91682),x91683)))
% 119.46/119.25 [9185]P1(f313(f313(x91851,x91852),x91853))+~P1(f313(f313(f223(a1),f850(x91851,x91853,x91852)),f2(a1)))+P1(f313(f313(x91851,f313(f72(a1),f847(x91851,x91853,x91852))),f313(f72(a1),f850(x91851,x91853,x91852))))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x91852),x91853)))
% 119.46/119.26 [9372]P1(f313(f313(x93721,x93722),x93723))+P1(f313(f313(x93721,f313(f313(f73(a1),f344(x93721,x93723,x93722)),f71(a1))),f346(x93721,x93723,x93722)))+~P1(f313(f313(f222(a1),f344(x93721,x93723,x93722)),f346(x93721,x93723,x93722)))+~P1(f313(f301(f889(a1,a1),a170),f313(f313(f240(a1,a1),x93722),x93723)))
% 119.46/119.26 [9814]~P69(x98142)+~P69(x98141)+~P1(f313(f49(f889(x98141,x98142)),x98143))+P1(f313(f49(x98141),f313(f313(f10(f890(x98142,a881),a881,x98141),f49(x98142)),f313(f313(f10(f890(x98142,f889(x98141,x98142)),f890(x98142,a881),x98141),f313(f10(f889(x98141,x98142),a881,x98142),x98143)),f240(x98141,x98142)))))
% 119.46/119.26 [9815]~P69(x98152)+~P69(x98151)+~P1(f313(f50(f889(x98151,x98152)),x98153))+P1(f313(f50(x98151),f313(f313(f10(f890(x98152,a881),a881,x98151),f50(x98152)),f313(f313(f10(f890(x98152,f889(x98151,x98152)),f890(x98152,a881),x98151),f313(f10(f889(x98151,x98152),a881,x98152),x98153)),f240(x98151,x98152)))))
% 119.46/119.26 [9910]~P69(x99102)+~P69(x99101)+P1(f313(f49(f889(x99101,x99102)),x99103))+~P1(f313(f49(x99101),f313(f313(f10(f890(x99102,a881),a881,x99101),f49(x99102)),f313(f313(f10(f890(x99102,f889(x99101,x99102)),f890(x99102,a881),x99101),f313(f10(f889(x99101,x99102),a881,x99102),x99103)),f240(x99101,x99102)))))
% 119.46/119.26 [9911]~P69(x99112)+~P69(x99111)+P1(f313(f50(f889(x99111,x99112)),x99113))+~P1(f313(f50(x99111),f313(f313(f10(f890(x99112,a881),a881,x99111),f50(x99112)),f313(f313(f10(f890(x99112,f889(x99111,x99112)),f890(x99112,a881),x99111),f313(f10(f889(x99111,x99112),a881,x99112),x99113)),f240(x99111,x99112)))))
% 119.46/119.26 [10087]E(f313(x100871,f749(x100872,x100871,x100873)),x100872)+~P1(f313(f313(f222(a1),x100872),f313(x100871,x100873)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x100871,f313(f313(f73(a883),f742(x100872,x100871,x100873)),f71(a883)))),f313(x100871,f742(x100872,x100871,x100873))))),f71(a1)))+~P1(f313(f313(f222(a1),f313(x100871,f2(a883))),x100872))
% 119.46/119.26 [10088]E(f313(x100881,f780(x100882,x100881,x100883)),x100882)+~P1(f313(f313(f222(a1),x100882),f313(x100881,x100883)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x100881,f313(f313(f73(a883),f758(x100882,x100881,x100883)),f71(a883)))),f313(x100881,f758(x100882,x100881,x100883))))),f71(a1)))+~P1(f313(f313(f222(a1),f313(x100881,f2(a883))),x100882))
% 119.46/119.26 [10091]~P1(f313(f313(f222(a1),x100911),f313(x100912,x100913)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x100912,f313(f313(f73(a883),f742(x100911,x100912,x100913)),f71(a883)))),f313(x100912,f742(x100911,x100912,x100913))))),f71(a1)))+P1(f313(f313(f222(a883),f749(x100911,x100912,x100913)),x100913))+~P1(f313(f313(f222(a1),f313(x100912,f2(a883))),x100911))
% 119.46/119.26 [10092]~P1(f313(f313(f222(a1),x100921),f313(x100922,x100923)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x100922,f313(f313(f73(a883),f758(x100921,x100922,x100923)),f71(a883)))),f313(x100922,f758(x100921,x100922,x100923))))),f71(a1)))+P1(f313(f313(f222(a883),f780(x100921,x100922,x100923)),x100923))+~P1(f313(f313(f222(a1),f313(x100922,f2(a883))),x100921))
% 119.46/119.26 [10146]E(x101461,x101462)+~E(f313(f130(f885(x101463),f885(x101463),f122(x101463),f104(x101463)),x101461),f313(f130(f885(x101463),f885(x101463),f122(x101463),f104(x101463)),x101462))+~E(f313(f179(f885(f885(x101463))),x101461),f313(f179(f885(f885(x101463))),x101462))+~P1(f313(f313(f245(f885(x101463),f885(x101463),a881),f313(f313(f9(f885(x101463),f890(f885(x101463),a883),f890(f885(x101463),a881)),f313(f313(f10(f890(a883,a881),f890(f890(f885(x101463),a883),f890(f885(x101463),a881)),f885(x101463)),f10(a883,a881,f885(x101463))),f313(f313(f10(a883,f890(a883,a881),f885(x101463)),a310),f179(f885(x101463))))),f179(f885(x101463)))),f718(x101461,x101462,x101463)))
% 119.46/119.26 [10147]E(x101471,x101472)+~E(f313(f130(f885(x101473),f885(x101473),f122(x101473),f104(x101473)),x101471),f313(f130(f885(x101473),f885(x101473),f122(x101473),f104(x101473)),x101472))+~E(f313(f179(f885(f885(x101473))),x101471),f313(f179(f885(f885(x101473))),x101472))+~P1(f313(f313(f245(f885(x101473),f885(x101473),a881),f313(f313(f9(f885(x101473),f890(f885(x101473),a883),f890(f885(x101473),a881)),f313(f313(f10(f890(a883,a881),f890(f890(f885(x101473),a883),f890(f885(x101473),a881)),f885(x101473)),f10(a883,a881,f885(x101473))),f313(f313(f10(a883,f890(a883,a881),f885(x101473)),a310),f179(f885(x101473))))),f179(f885(x101473)))),f719(x101472,x101471,x101473)))
% 119.46/119.26 [6856]~E(f71(a883),f2(a883))+~P1(f313(f54(x68561),x68563))+~P1(f313(f54(x68561),x68562))+E(f313(f313(f73(a883),f313(f28(x68561),x68562)),f313(f28(x68561),x68563)),f313(f28(x68561),f313(f313(f92(f890(x68561,a881)),x68562),x68563)))
% 119.46/119.26 [7283]~P4(x72831)+~P1(f313(f54(x72831),x72832))+~P1(f313(f313(f315(x72831),x72833),x72832))+P1(f313(f313(f222(x72831),f313(f56(x72831,f227(x72831)),x72832)),x72833))
% 119.46/119.26 [7284]~P108(x72841)+~P1(f313(f54(x72841),x72842))+~P1(f313(f313(f315(x72841),x72843),x72842))+P1(f313(f313(f222(x72841),f313(f56(x72841,f93(x72841)),x72842)),x72843))
% 119.46/119.26 [7543]~P1(f313(f54(x75431),x75433))+~P1(f313(f54(x75431),x75432))+~E(f313(f313(f93(f890(x75431,a881)),x75432),x75433),f178(f890(x75431,a881)))+E(f313(f313(f73(a883),f313(f28(x75431),x75432)),f313(f28(x75431),x75433)),f313(f28(x75431),f313(f313(f92(f890(x75431,a881)),x75432),x75433)))
% 119.46/119.26 [8333]~P36(x83331,x83333)+~P36(x83331,x83332)+~E(f313(f313(f93(f890(x83331,a881)),f313(f252(x83331,x83331),x83332)),f313(f270(x83331,x83331),x83333)),f178(f890(x83331,a881)))+P36(x83331,f313(f313(f92(f890(f889(x83331,x83331),a881)),x83332),x83333))
% 119.46/119.26 [8425]E(x84251,f313(f313(f29(a883),x84252),x84253))+~P1(f313(f313(f223(a883),f2(a883)),x84253))+~P1(f313(f313(f223(a883),x84252),f313(f313(f74(a883),x84253),f313(a103,x84251))))+~P1(f313(f313(f222(a883),f313(f313(f74(a883),x84253),x84251)),x84252))
% 119.46/119.26 [8561]~P1(f313(f54(x85611),x85612))+~P1(f313(f54(x85611),x85613))+E(f313(f313(f73(a883),f313(f28(x85611),x85612)),f313(f28(x85611),x85613)),f313(f28(x85611),f313(f313(f92(f890(x85611,a881)),x85612),x85613)))+P1(f313(f313(f315(x85611),f467(x85613,x85612,x85611)),f313(f313(f93(f890(x85611,a881)),x85612),x85613)))
% 119.46/119.26 [8928]~P130(x89282)+~E(x89281,f2(x89282))+~E(x89283,f2(x89282))+~P1(f313(f313(f223(x89282),f2(x89282)),f313(f313(f73(x89282),f313(f313(f74(x89282),x89283),x89283)),f313(f313(f74(x89282),x89281),x89281))))
% 119.46/119.26 [9451]~P36(x94511,x94513)+~P36(x94511,x94512)+P36(x94511,f313(f313(f92(f890(f889(x94511,x94511),a881)),x94512),x94513))+~P1(f313(f313(f222(f890(f889(x94511,x94511),a881)),f313(f313(f275(x94511,x94511,x94511),x94512),x94513)),x94512))
% 119.46/119.26 [9582]~P1(f313(x95821,x95823))+~P1(f313(f54(x95822),x95823))+P1(f313(x95821,f178(f890(x95822,a881))))+~P1(f313(x95821,f313(f313(f3(f890(x95822,a881)),f441(x95821,x95823,x95822)),f313(f313(f295(x95822),f442(x95821,x95823,x95822)),f178(f890(x95822,a881))))))
% 119.46/119.26 [8724]~P1(f313(f313(f223(a1),f2(a1)),x87243))+P1(f313(f313(f222(a1),f2(a1)),x87241))+~P1(f313(f313(f223(a1),x87242),x87243))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f313(f313(f74(a1),x87243),x87241)),x87242)))
% 119.46/119.26 [8745]~P103(x87451)+~P1(f313(f54(x87451),x87452))+E(f313(f313(f3(f890(x87451,a881)),x87452),f313(f313(f295(x87451),x87453),f178(f890(x87451,a881)))),f178(f890(x87451,a881)))+E(f313(f313(f92(x87451),x87453),f15(x87451,f313(f313(f3(f890(x87451,a881)),x87452),f313(f313(f295(x87451),x87453),f178(f890(x87451,a881)))))),f15(x87451,f313(f313(f295(x87451),x87453),x87452)))
% 119.46/119.26 [8746]~P4(x87461)+~P1(f313(f54(x87461),x87462))+E(f313(f313(f3(f890(x87461,a881)),x87462),f313(f313(f295(x87461),x87463),f178(f890(x87461,a881)))),f178(f890(x87461,a881)))+E(f313(f313(f177(x87461),x87463),f16(x87461,f313(f313(f3(f890(x87461,a881)),x87462),f313(f313(f295(x87461),x87463),f178(f890(x87461,a881)))))),f16(x87461,f313(f313(f295(x87461),x87463),x87462)))
% 119.46/119.26 [8747]~P4(x87471)+~P1(f313(f54(x87471),x87472))+E(f313(f313(f3(f890(x87471,a881)),x87472),f313(f313(f295(x87471),x87473),f178(f890(x87471,a881)))),f178(f890(x87471,a881)))+E(f313(f313(f227(x87471),x87473),f17(x87471,f313(f313(f3(f890(x87471,a881)),x87472),f313(f313(f295(x87471),x87473),f178(f890(x87471,a881)))))),f17(x87471,f313(f313(f295(x87471),x87473),x87472)))
% 119.46/119.26 [8748]~P103(x87481)+~P1(f313(f54(x87481),x87482))+E(f313(f313(f3(f890(x87481,a881)),x87482),f313(f313(f295(x87481),x87483),f178(f890(x87481,a881)))),f178(f890(x87481,a881)))+E(f313(f313(f93(x87481),x87483),f12(x87481,f313(f313(f3(f890(x87481,a881)),x87482),f313(f313(f295(x87481),x87483),f178(f890(x87481,a881)))))),f12(x87481,f313(f313(f295(x87481),x87483),x87482)))
% 119.46/119.26 [8814]~P4(x88141)+~P1(f313(f54(x88141),x88142))+E(f313(f313(f3(f890(x88141,a881)),x88142),f313(f313(f295(x88141),x88143),f178(f890(x88141,a881)))),f178(f890(x88141,a881)))+E(f313(f313(f177(x88141),x88143),f13(x88141,f177(x88141),f313(f313(f3(f890(x88141,a881)),x88142),f313(f313(f295(x88141),x88143),f178(f890(x88141,a881)))))),f13(x88141,f177(x88141),f313(f313(f295(x88141),x88143),x88142)))
% 119.46/119.26 [8815]~P4(x88151)+~P1(f313(f54(x88151),x88152))+E(f313(f313(f3(f890(x88151,a881)),x88152),f313(f313(f295(x88151),x88153),f178(f890(x88151,a881)))),f178(f890(x88151,a881)))+E(f313(f313(f227(x88151),x88153),f14(x88151,f227(x88151),f313(f313(f3(f890(x88151,a881)),x88152),f313(f313(f295(x88151),x88153),f178(f890(x88151,a881)))))),f14(x88151,f227(x88151),f313(f313(f295(x88151),x88153),x88152)))
% 119.46/119.26 [9189]~P5(x91891)+~P39(x91891,x91891,x91892)+P1(f313(f313(f222(x91891),f86(x91891,x91892)),x91893))+~P1(f313(f313(f222(x91891),f313(x91892,f313(f313(f93(x91891),f86(x91891,x91892)),x91893))),x91893))
% 119.46/119.26 [9391]E(x93911,x93912)+~E(f313(f130(f885(x93913),f885(x93913),f122(x93913),f104(x93913)),x93911),f313(f130(f885(x93913),f885(x93913),f122(x93913),f104(x93913)),x93912))+~E(f313(f179(f885(f885(x93913))),x93911),f313(f179(f885(f885(x93913))),x93912))+P1(f313(f313(f315(f889(f885(x93913),f885(x93913))),f718(x93911,x93912,x93913)),f313(f160(f889(f885(x93913),f885(x93913))),f313(f313(f169(f885(x93913),f885(x93913)),x93912),x93911))))
% 119.46/119.26 [9392]E(x93921,x93922)+~E(f313(f130(f885(x93923),f885(x93923),f122(x93923),f104(x93923)),x93921),f313(f130(f885(x93923),f885(x93923),f122(x93923),f104(x93923)),x93922))+~E(f313(f179(f885(f885(x93923))),x93921),f313(f179(f885(f885(x93923))),x93922))+P1(f313(f313(f315(f889(f885(x93923),f885(x93923))),f719(x93922,x93921,x93923)),f313(f160(f889(f885(x93923),f885(x93923))),f313(f313(f169(f885(x93923),f885(x93923)),x93921),x93922))))
% 119.46/119.26 [10248]~P85(x102482)+E(x102481,f178(f890(x102482,a881)))+~P1(f313(f54(x102482),x102481))+E(f16(x102482,f313(f250(x102482),f313(f313(f10(f890(x102482,a881),a881,x102482),f80(x102482)),f313(f313(f9(x102482,f890(x102482,a881),f890(x102482,a881)),f313(f313(f10(f890(x102482,f890(a881,a881)),f890(f890(x102482,a881),f890(x102482,a881)),x102482),f20(x102482,a881,a881)),f313(f313(f10(f890(x102482,a881),f890(x102482,f890(a881,a881)),x102482),f313(f10(a881,f890(a881,a881),x102482),a311)),f313(f313(f9(x102482,f890(x102482,x102482),f890(x102482,a881)),f313(f313(f10(f890(x102482,a881),f890(f890(x102482,x102482),f890(x102482,a881)),x102482),f10(x102482,a881,x102482)),a310)),f313(f73(x102482),x102483))))),f313(f313(f9(x102482,f890(x102482,a881),a881),f315(x102482)),x102481))))),f313(f313(f73(x102482),x102483),f16(x102482,x102481)))
% 119.46/119.26 [10249]~P85(x102492)+E(x102491,f178(f890(x102492,a881)))+~P1(f313(f54(x102492),x102491))+E(f17(x102492,f313(f250(x102492),f313(f313(f10(f890(x102492,a881),a881,x102492),f80(x102492)),f313(f313(f9(x102492,f890(x102492,a881),f890(x102492,a881)),f313(f313(f10(f890(x102492,f890(a881,a881)),f890(f890(x102492,a881),f890(x102492,a881)),x102492),f20(x102492,a881,a881)),f313(f313(f10(f890(x102492,a881),f890(x102492,f890(a881,a881)),x102492),f313(f10(a881,f890(a881,a881),x102492),a311)),f313(f313(f9(x102492,f890(x102492,x102492),f890(x102492,a881)),f313(f313(f10(f890(x102492,a881),f890(f890(x102492,x102492),f890(x102492,a881)),x102492),f10(x102492,a881,x102492)),a310)),f313(f73(x102492),x102493))))),f313(f313(f9(x102492,f890(x102492,a881),a881),f315(x102492)),x102491))))),f313(f313(f73(x102492),x102493),f17(x102492,x102491)))
% 119.46/119.26 [10250]~P106(x102502)+E(x102501,f178(f890(x102502,a881)))+~P1(f313(f54(x102502),x102501))+E(f12(x102502,f313(f250(x102502),f313(f313(f10(f890(x102502,a881),a881,x102502),f80(x102502)),f313(f313(f9(x102502,f890(x102502,a881),f890(x102502,a881)),f313(f313(f10(f890(x102502,f890(a881,a881)),f890(f890(x102502,a881),f890(x102502,a881)),x102502),f20(x102502,a881,a881)),f313(f313(f10(f890(x102502,a881),f890(x102502,f890(a881,a881)),x102502),f313(f10(a881,f890(a881,a881),x102502),a311)),f313(f313(f9(x102502,f890(x102502,x102502),f890(x102502,a881)),f313(f313(f10(f890(x102502,a881),f890(f890(x102502,x102502),f890(x102502,a881)),x102502),f10(x102502,a881,x102502)),a310)),f313(f92(x102502),x102503))))),f313(f313(f9(x102502,f890(x102502,a881),a881),f315(x102502)),x102501))))),f313(f313(f92(x102502),x102503),f12(x102502,x102501)))
% 119.46/119.26 [10251]~P106(x102512)+E(x102511,f178(f890(x102512,a881)))+~P1(f313(f54(x102512),x102511))+E(f15(x102512,f313(f250(x102512),f313(f313(f10(f890(x102512,a881),a881,x102512),f80(x102512)),f313(f313(f9(x102512,f890(x102512,a881),f890(x102512,a881)),f313(f313(f10(f890(x102512,f890(a881,a881)),f890(f890(x102512,a881),f890(x102512,a881)),x102512),f20(x102512,a881,a881)),f313(f313(f10(f890(x102512,a881),f890(x102512,f890(a881,a881)),x102512),f313(f10(a881,f890(a881,a881),x102512),a311)),f313(f313(f9(x102512,f890(x102512,x102512),f890(x102512,a881)),f313(f313(f10(f890(x102512,a881),f890(f890(x102512,x102512),f890(x102512,a881)),x102512),f10(x102512,a881,x102512)),a310)),f313(f93(x102512),x102513))))),f313(f313(f9(x102512,f890(x102512,a881),a881),f315(x102512)),x102511))))),f313(f313(f93(x102512),x102513),f15(x102512,x102511)))
% 119.46/119.26 [10252]~P4(x102522)+E(x102521,f178(f890(x102522,a881)))+~P1(f313(f54(x102522),x102521))+E(f13(x102522,f177(x102522),f313(f250(x102522),f313(f313(f10(f890(x102522,a881),a881,x102522),f80(x102522)),f313(f313(f9(x102522,f890(x102522,a881),f890(x102522,a881)),f313(f313(f10(f890(x102522,f890(a881,a881)),f890(f890(x102522,a881),f890(x102522,a881)),x102522),f20(x102522,a881,a881)),f313(f313(f10(f890(x102522,a881),f890(x102522,f890(a881,a881)),x102522),f313(f10(a881,f890(a881,a881),x102522),a311)),f313(f313(f9(x102522,f890(x102522,x102522),f890(x102522,a881)),f313(f313(f10(f890(x102522,a881),f890(f890(x102522,x102522),f890(x102522,a881)),x102522),f10(x102522,a881,x102522)),a310)),f313(f227(x102522),x102523))))),f313(f313(f9(x102522,f890(x102522,a881),a881),f315(x102522)),x102521))))),f313(f313(f227(x102522),x102523),f13(x102522,f177(x102522),x102521)))
% 119.46/119.26 [10253]~P4(x102532)+E(x102531,f178(f890(x102532,a881)))+~P1(f313(f54(x102532),x102531))+E(f14(x102532,f227(x102532),f313(f250(x102532),f313(f313(f10(f890(x102532,a881),a881,x102532),f80(x102532)),f313(f313(f9(x102532,f890(x102532,a881),f890(x102532,a881)),f313(f313(f10(f890(x102532,f890(a881,a881)),f890(f890(x102532,a881),f890(x102532,a881)),x102532),f20(x102532,a881,a881)),f313(f313(f10(f890(x102532,a881),f890(x102532,f890(a881,a881)),x102532),f313(f10(a881,f890(a881,a881),x102532),a311)),f313(f313(f9(x102532,f890(x102532,x102532),f890(x102532,a881)),f313(f313(f10(f890(x102532,a881),f890(f890(x102532,x102532),f890(x102532,a881)),x102532),f10(x102532,a881,x102532)),a310)),f313(f177(x102532),x102533))))),f313(f313(f9(x102532,f890(x102532,a881),a881),f315(x102532)),x102531))))),f313(f313(f177(x102532),x102533),f14(x102532,f227(x102532),x102531)))
% 119.46/119.26 [9973]~P115(x99731)+~E(x99733,f2(x99731))+~E(x99732,f2(x99731))+E(f313(f313(f73(x99731),f313(f313(f232(x99731),x99732),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x99731),x99733),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f2(x99731))
% 119.46/119.26 [10130]~P114(x101301)+~P1(f313(f313(f222(x101301),f2(x101301)),x101303))+P1(f313(f313(f222(x101301),x101302),x101303))+~P1(f313(f313(f222(x101301),f313(f313(f232(x101301),x101302),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101301),x101303),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.26 [10131]~P114(x101311)+~P1(f313(f313(f222(x101311),f2(x101311)),x101313))+P1(f313(f313(f223(x101311),x101312),x101313))+~P1(f313(f313(f223(x101311),f313(f313(f232(x101311),x101312),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101311),x101313),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))))
% 119.46/119.26 [10180]~P115(x101802)+~E(x101801,f2(x101802))+~E(x101803,f2(x101802))+~P1(f313(f313(f223(x101802),f2(x101802)),f313(f313(f73(x101802),f313(f313(f232(x101802),x101803),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88))))),f313(f313(f232(x101802),x101801),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))))
% 119.46/119.26 [5987]~P3(x59872)+~P4(x59871)+~P51(x59871,x59872,x59873)+P24(x59871,x59872,x59873,x59874)
% 119.46/119.26 [9353]E(x93531,x93532)+~E(f673(x93531,x93532,x93534,x93533),f675(x93531,x93532,x93534,x93533))+P1(f313(f313(f315(f889(f885(x93533),f885(x93533))),f313(f313(f240(f885(x93533),f885(x93533)),x93532),x93531)),f135(x93533,x93534)))+P1(f313(f313(f315(f889(f885(x93533),f885(x93533))),f313(f313(f240(f885(x93533),f885(x93533)),x93531),x93532)),f135(x93533,x93534)))
% 119.46/119.26 [4808]~P70(x48082)+~E(x48084,f2(x48082))+~E(x48081,f2(x48082))+E(x48081,f313(f313(f277(x48082),x48083),x48084))
% 119.46/119.26 [4809]~P70(x48091)+~E(x48093,f2(x48091))+~E(x48094,f2(x48091))+E(f313(f313(f277(x48091),x48092),x48093),x48094)
% 119.46/119.26 [4930]~P70(x49302)+E(x49301,f2(x49302))+~E(x49303,f2(x49302))+~E(x49301,f313(f313(f277(x49302),x49304),x49303))
% 119.46/119.26 [4931]~P70(x49312)+E(x49311,f2(x49312))+~E(x49313,f2(x49312))+~E(f313(f313(f277(x49312),x49314),x49313),x49311)
% 119.46/119.26 [5122]~P126(x51222)+E(x51221,f2(x51222))+~E(f313(f313(f277(x51222),x51223),x51221),x51224)+E(x51223,f313(f313(f74(x51222),x51224),x51221))
% 119.46/119.26 [5123]~P126(x51232)+E(x51231,f2(x51232))+~E(f313(f313(f74(x51232),x51233),x51231),x51234)+E(x51233,f313(f313(f277(x51232),x51234),x51231))
% 119.46/119.26 [5124]~P126(x51242)+E(x51241,f2(x51242))+~E(f313(f313(f74(x51242),x51243),x51241),x51244)+E(x51243,f313(f313(f277(x51242),x51244),x51241))
% 119.46/119.26 [5125]~P70(x51252)+E(x51251,f2(x51252))+~E(f313(f313(f277(x51252),x51253),x51251),x51254)+E(x51253,f313(f313(f74(x51252),x51254),x51251))
% 119.46/119.26 [5126]~P70(x51262)+E(x51261,f2(x51262))+~E(f313(f313(f74(x51262),x51263),x51261),x51264)+E(x51263,f313(f313(f277(x51262),x51264),x51261))
% 119.46/119.26 [5127]~P126(x51272)+E(x51271,f2(x51272))+~E(x51273,f313(f313(f277(x51272),x51274),x51271))+E(f313(f313(f74(x51272),x51273),x51271),x51274)
% 119.46/119.26 [5128]~P126(x51282)+E(x51281,f2(x51282))+~E(x51283,f313(f313(f74(x51282),x51284),x51281))+E(f313(f313(f277(x51282),x51283),x51281),x51284)
% 119.46/119.26 [5129]~P126(x51292)+E(x51291,f2(x51292))+~E(x51293,f313(f313(f74(x51292),x51294),x51291))+E(f313(f313(f277(x51292),x51293),x51291),x51294)
% 119.46/119.26 [5130]~P70(x51302)+E(x51301,f2(x51302))+~E(x51303,f313(f313(f277(x51302),x51304),x51301))+E(f313(f313(f74(x51302),x51303),x51301),x51304)
% 119.46/119.26 [5131]~P70(x51312)+E(x51311,f2(x51312))+~E(x51313,f313(f313(f74(x51312),x51314),x51311))+E(f313(f313(f277(x51312),x51313),x51311),x51314)
% 119.46/119.26 [5155]~P70(x51552)+~E(x51551,f2(x51552))+~E(f313(f313(f74(x51552),x51551),x51554),x51553)+E(x51551,f313(f313(f277(x51552),x51553),x51554))
% 119.46/119.26 [5156]~P70(x51561)+~E(x51564,f2(x51561))+~E(x51562,f313(f313(f74(x51561),x51564),x51563))+E(f313(f313(f277(x51561),x51562),x51563),x51564)
% 119.46/119.26 [5231]~E(x52313,x52314)+~E(x52312,x52313)+~P3(x52311)+E(f289(x52311,x52312,x52313),f313(f313(f295(x52311),x52314),f178(f890(x52311,a881))))
% 119.46/119.26 [5435]~E(f132(x54352,x54351),x54354)+~E(f105(x54352,x54351),x54353)+E(x54351,f104(x54352))+E(f313(f313(f122(x54352),x54353),f313(f313(f139(x54352),x54354),f104(x54352))),x54351)
% 119.46/119.26 [6082]~P114(x60823)+E(x60821,x60822)+~E(f313(f313(f232(x60823),x60824),x60821),f313(f313(f232(x60823),x60824),x60822))+~P1(f313(f313(f223(x60823),f71(x60823)),x60824))
% 119.46/119.26 [6083]E(x60831,x60832)+~E(f313(f313(f295(x60833),x60834),x60831),f313(f313(f295(x60833),x60834),x60832))+P1(f313(f313(f315(x60833),x60834),x60832))+P1(f313(f313(f315(x60833),x60834),x60831))
% 119.46/119.26 [6126]E(f313(x61261,x61262),f2(a883))+~E(f313(f313(f8(x61263,a883),x61261),x61264),f2(a883))+~P1(f313(f54(x61263),x61264))+~P1(f313(f313(f315(x61263),x61262),x61264))
% 119.46/119.26 [6127]E(f313(x61271,x61272),f71(a883))+~E(f313(f313(f11(x61273,a883),x61271),x61274),f71(a883))+~P1(f313(f54(x61273),x61274))+~P1(f313(f313(f315(x61273),x61272),x61274))
% 119.46/119.26 [6361]~P3(x63611)+~P1(f313(f313(f222(x63611),x63614),x63613))+P1(f313(f313(f222(x63611),x63612),x63613))+~P1(f313(f313(f222(x63611),x63612),x63614))
% 119.46/119.26 [6362]~P113(x63621)+~P1(f313(f313(f222(x63621),x63622),x63624))+P1(f313(f313(f222(x63621),x63622),x63623))+~P1(f313(f313(f222(x63621),x63624),x63623))
% 119.46/119.26 [6363]~P3(x63631)+~P1(f313(f313(f223(x63631),x63634),x63633))+P1(f313(f313(f223(x63631),x63632),x63633))+~P1(f313(f313(f222(x63631),x63632),x63634))
% 119.46/119.26 [6364]~P3(x63641)+~P1(f313(f313(f223(x63641),x63642),x63644))+P1(f313(f313(f223(x63641),x63642),x63643))+~P1(f313(f313(f222(x63641),x63644),x63643))
% 119.46/119.26 [6365]~P3(x63651)+~P1(f313(f313(f223(x63651),x63654),x63653))+P1(f313(f313(f223(x63651),x63652),x63653))+~P1(f313(f313(f223(x63651),x63652),x63654))
% 119.46/119.26 [6366]~P113(x63661)+~P1(f313(f313(f223(x63661),x63662),x63664))+P1(f313(f313(f223(x63661),x63662),x63663))+~P1(f313(f313(f222(x63661),x63664),x63663))
% 119.46/119.26 [6367]~P113(x63671)+~P1(f313(f313(f223(x63671),x63674),x63673))+P1(f313(f313(f223(x63671),x63672),x63673))+~P1(f313(f313(f222(x63671),x63672),x63674))
% 119.46/119.26 [6368]~P113(x63681)+~P1(f313(f313(f223(x63681),x63682),x63684))+P1(f313(f313(f223(x63681),x63682),x63683))+~P1(f313(f313(f223(x63681),x63684),x63683))
% 119.46/119.26 [6369]~P120(x63691)+~P1(f313(f313(f273(x63691),x63692),x63694))+P1(f313(f313(f273(x63691),x63692),x63693))+~P1(f313(f313(f273(x63691),x63694),x63693))
% 119.46/119.26 [6457]~P34(x64574,x64573,x64572)+E(x64571,f772(x64572,x64573,x64574))+~P1(f313(x64573,x64571))+~P1(f313(f313(f315(x64574),x64571),f313(f160(x64574),x64572)))
% 119.46/119.26 [6458]~P34(x64584,x64583,x64582)+E(x64581,f784(x64582,x64583,x64584))+~P1(f313(x64583,x64581))+~P1(f313(f313(f315(x64584),x64581),f313(f160(x64584),x64582)))
% 119.46/119.26 [6617]~P5(x66171)+~P1(f313(f313(f222(x66171),x66172),f31(x66171,x66174)))+P1(f313(f313(f222(x66171),x66172),x66173))+~P1(f313(f313(f315(x66171),x66173),x66174))
% 119.46/119.26 [6774]~P4(x67741)+~P13(x67741,f313(f313(f139(x67741),x67742),x67744))+~P1(f313(f313(f315(x67741),x67743),f313(f160(x67741),x67744)))+P1(f313(f313(f222(x67741),x67742),x67743))
% 119.46/119.26 [6775]~P4(x67751)+~P13(x67751,f313(f313(f139(x67751),x67752),x67754))+~P1(f313(f313(f315(x67751),x67753),f313(f160(x67751),x67754)))+P1(f313(f313(f222(x67751),x67752),x67753))
% 119.46/119.26 [6866]~P5(x68661)+~P1(f313(f313(f222(x68661),f30(x68661,x68664)),x68663))+P1(f313(f313(f222(x68661),x68662),x68663))+~P1(f313(f313(f315(x68661),x68662),x68664))
% 119.46/119.26 [7018]~P66(x70181)+P1(f313(f313(f273(x70181),x70182),f38(x70181,x70183,x70184)))+~P1(f313(f313(f273(x70181),x70182),x70184))+~P1(f313(f313(f273(x70181),x70182),x70183))
% 119.46/119.26 [7019]~P66(x70191)+P1(f313(f313(f273(x70191),x70192),f38(x70191,x70193,x70194)))+~P1(f313(f313(f273(x70191),x70192),x70194))+~P1(f313(f313(f273(x70191),x70192),x70193))
% 119.46/119.26 [7286]~P4(x72861)+E(f313(f313(f92(f890(x72861,a881)),f313(f288(x72861,x72862),x72863)),f313(f288(x72861,x72863),x72864)),f313(f288(x72861,x72862),x72864))+~P1(f313(f313(f222(x72861),x72863),x72864))+~P1(f313(f313(f222(x72861),x72862),x72863))
% 119.46/119.26 [7330]P34(x73301,x73302,x73303)+~E(f786(x73303,x73302,x73301,x73304),x73304)+~P1(f313(x73302,x73304))+~P1(f313(f313(f315(x73301),x73304),f313(f160(x73301),x73303)))
% 119.46/119.26 [7331]P34(x73311,x73312,x73313)+~E(f791(x73313,x73312,x73311,x73314),x73314)+~P1(f313(x73312,x73314))+~P1(f313(f313(f315(x73311),x73314),f313(f160(x73311),x73313)))
% 119.46/119.26 [7374]~P66(x73741)+~P1(f313(f313(f273(x73741),x73742),f38(x73741,x73743,x73744)))+P1(f313(f313(f273(x73741),x73742),x73743))+~P1(f313(f313(f273(x73741),x73742),x73744))
% 119.46/119.26 [7375]~P66(x73751)+~P1(f313(f313(f273(x73751),x73752),f38(x73751,x73753,x73754)))+P1(f313(f313(f273(x73751),x73752),x73753))+~P1(f313(f313(f273(x73751),x73752),x73754))
% 119.46/119.26 [7411]~P4(x74111)+E(f313(f313(f92(f890(x74111,a881)),f313(f288(x74111,x74112),x74113)),f289(x74111,x74113,x74114)),f289(x74111,x74112,x74114))+~P1(f313(f313(f222(x74111),x74113),x74114))+~P1(f313(f313(f222(x74111),x74112),x74113))
% 119.46/119.26 [7422]~P3(x74221)+~P48(a883,x74221,f273(a883),x74222)+P1(f313(f313(f222(x74221),f313(x74222,x74223)),f313(x74222,x74224)))+~P1(f313(f313(f273(a883),x74223),x74224))
% 119.46/119.26 [7475]~P4(x74751)+E(f313(f313(f92(f890(x74751,a881)),f292(x74751,x74752,x74753)),f313(f288(x74751,x74753),x74754)),f292(x74751,x74752,x74754))+~P1(f313(f313(f222(x74751),x74753),x74754))+~P1(f313(f313(f223(x74751),x74752),x74753))
% 119.46/119.26 [7492]~P4(x74921)+E(f313(f313(f92(f890(x74921,a881)),f289(x74921,x74922,x74923)),f292(x74921,x74923,x74924)),f313(f288(x74921,x74922),x74924))+~P1(f313(f313(f222(x74921),x74922),x74923))+~P1(f313(f313(f223(x74921),x74923),x74924))
% 119.46/119.26 [7523]~P4(x75231)+E(f313(f313(f92(f890(x75231,a881)),f289(x75231,x75232,x75233)),f291(x75231,x75233,x75234)),f289(x75231,x75232,x75234))+~P1(f313(f313(f222(x75231),x75233),x75234))+~P1(f313(f313(f222(x75231),x75232),x75233))
% 119.46/119.26 [7524]~P4(x75241)+E(f313(f313(f92(f890(x75241,a881)),f291(x75241,x75242,x75243)),f291(x75241,x75243,x75244)),f291(x75241,x75242,x75244))+~P1(f313(f313(f222(x75241),x75243),x75244))+~P1(f313(f313(f222(x75241),x75242),x75243))
% 119.46/119.26 [7525]~P4(x75251)+E(f313(f313(f92(f890(x75251,a881)),f291(x75251,x75252,x75253)),f292(x75251,x75253,x75254)),f292(x75251,x75252,x75254))+~P1(f313(f313(f222(x75251),x75252),x75253))+~P1(f313(f313(f223(x75251),x75253),x75254))
% 119.46/119.26 [7526]~P4(x75261)+E(f313(f313(f92(f890(x75261,a881)),f292(x75261,x75262,x75263)),f289(x75261,x75263,x75264)),f291(x75261,x75262,x75264))+~P1(f313(f313(f222(x75261),x75263),x75264))+~P1(f313(f313(f223(x75261),x75262),x75263))
% 119.46/119.26 [8317]P24(x83171,x83172,f480(x83173,x83172,x83174,x83171),x83174)+~P1(f313(f54(x83172),x83173))+~P1(f313(f54(x83171),x83174))+~P1(f313(f313(f222(a883),f313(f28(x83171),x83174)),f313(f28(x83172),x83173)))
% 119.46/119.26 [8338]P34(x83381,x83382,x83383)+~P1(f313(x83382,x83384))+P1(f313(x83382,f786(x83383,x83382,x83381,x83384)))+~P1(f313(f313(f315(x83381),x83384),f313(f160(x83381),x83383)))
% 119.46/119.26 [8339]P34(x83391,x83392,x83393)+~P1(f313(x83392,x83394))+P1(f313(x83392,f791(x83393,x83392,x83391,x83394)))+~P1(f313(f313(f315(x83391),x83394),f313(f160(x83391),x83393)))
% 119.46/119.26 [8390]~P75(x83901)+~E(f313(x83903,f590(x83903,x83904,x83902,x83901)),f71(x83901))+E(f313(f313(f313(f58(x83901,x83902,f74(x83901)),x83903),f71(x83901)),x83904),f71(x83901))+~P1(f313(f54(x83902),x83904))
% 119.46/119.26 [8658]~P114(x86581)+~P1(f313(f313(f222(x86581),f2(x86581)),x86583))+P1(f313(f313(f222(x86581),x86582),x86583))+~P1(f313(f313(f222(x86581),f313(f313(f232(x86581),x86582),f313(a103,x86584))),f313(f313(f232(x86581),x86583),f313(a103,x86584))))
% 119.46/119.26 [8813]~P39(f890(x88134,a881),f890(x88134,a881),x88133)+P1(f313(x88131,x88132))+~P1(f313(x88131,f543(x88131,x88133,x88132,x88134)))+~P1(f313(f313(f315(x88134),x88132),f86(f890(x88134,a881),x88133)))
% 119.46/119.26 [8955]P34(x89551,x89552,x89553)+~P1(f313(x89552,x89554))+~P1(f313(f313(f315(x89551),x89554),f313(f160(x89551),x89553)))+P1(f313(f313(f315(x89551),f786(x89553,x89552,x89551,x89554)),f313(f160(x89551),x89553)))
% 119.46/119.26 [8956]P34(x89561,x89562,x89563)+~P1(f313(x89562,x89564))+~P1(f313(f313(f315(x89561),x89564),f313(f160(x89561),x89563)))+P1(f313(f313(f315(x89561),f791(x89563,x89562,x89561,x89564)),f313(f160(x89561),x89563)))
% 119.46/119.26 [9030]~P75(x90301)+E(f313(f313(f313(f58(x90301,x90302,f74(x90301)),x90303),f71(x90301)),x90304),f71(x90301))+~P1(f313(f54(x90302),x90304))+P1(f313(f313(f315(x90302),f590(x90303,x90304,x90302,x90301)),x90304))
% 119.46/119.26 [9290]~P8(x92902,x92903,x92904)+~P1(f313(f54(x92902),x92903))+~P1(f313(f313(f273(a883),x92901),f313(f28(x92902),f473(x92901,x92904,x92903,x92902))))+P1(f313(f313(f273(a883),x92901),f313(f28(x92902),x92903)))
% 119.46/119.26 [9511]~P1(f313(f313(f273(a883),x95112),x95113))+P1(f313(f313(f273(a883),x95111),x95112))+P1(f313(f313(f273(a883),x95113),x95114))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x95112,x95113)),f276(a883,f273(a883),x95111,x95114)))
% 119.46/119.26 [9516]P1(f313(f313(f273(a883),x95161),x95162))+~P1(f313(f313(f273(a883),x95162),x95163))+~P1(f313(f313(f273(a883),x95164),x95163))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x95162,x95163)),f276(a883,f273(a883),x95161,x95164)))
% 119.46/119.26 [9517]~P1(f313(f313(f273(a883),x95173),x95171))+P1(f313(f313(f273(a883),x95171),x95172))+~P1(f313(f313(f273(a883),x95173),x95174))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x95173,x95171)),f276(a883,f273(a883),x95174,x95172)))
% 119.46/119.26 [9525]~P1(f313(f313(f273(a883),x95251),x95253))+~P1(f313(f313(f273(a883),x95251),x95252))+~P1(f313(f313(f273(a883),x95254),x95253))+~P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x95251,x95253)),f276(a883,f273(a883),x95252,x95254)))
% 119.46/119.26 [9530]~P1(f313(f313(f222(a1),x95304),f2(a1)))+P1(f313(f313(f222(a1),f313(f313(f73(a1),f313(f313(f74(a1),x95301),f38(a1,x95302,x95303))),x95304)),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x95303))+~P1(f313(f313(f223(a1),x95301),x95304))
% 119.46/119.26 [9966]~P1(f313(f54(x99661),x99662))+~P1(f313(f313(f315(x99661),x99664),x99662))+~P1(f313(f313(f315(x99661),x99663),x99662))+P1(f313(f313(f223(a883),f313(f28(x99661),f313(f313(f3(f890(x99661,a881)),f313(f313(f3(f890(x99661,a881)),x99662),f313(f313(f295(x99661),x99663),f178(f890(x99661,a881))))),f313(f313(f295(x99661),x99664),f178(f890(x99661,a881)))))),f313(f28(x99661),x99662)))
% 119.46/119.26 [6928]~P146(x69283)+~P125(x69283)+P1(f313(x69281,f858(x69282,x69281,x69283)))+~P1(f313(x69281,f313(f313(f74(x69283),x69282),x69284)))
% 119.46/119.26 [6990]~P4(x69901)+~P1(f313(f313(f222(x69901),x69902),x69904))+~P1(f313(f313(f222(x69901),x69902),x69903))+P1(f313(f313(f222(x69901),x69902),f313(f313(f227(x69901),x69903),x69904)))
% 119.46/119.26 [6991]~P4(x69911)+~P1(f313(f313(f222(x69911),x69912),x69914))+~P1(f313(f313(f222(x69911),x69912),x69913))+P1(f313(f313(f222(x69911),x69912),f313(f313(f227(x69911),x69913),x69914)))
% 119.46/119.26 [6992]~P4(x69921)+~P1(f313(f313(f222(x69921),x69922),x69924))+~P1(f313(f313(f222(x69921),x69922),x69923))+P1(f313(f313(f222(x69921),x69922),f313(f313(f227(x69921),x69923),x69924)))
% 119.46/119.26 [6993]~P108(x69931)+~P1(f313(f313(f222(x69931),x69932),x69934))+~P1(f313(f313(f222(x69931),x69932),x69933))+P1(f313(f313(f222(x69931),x69932),f313(f313(f93(x69931),x69933),x69934)))
% 119.46/119.26 [6994]~P108(x69941)+~P1(f313(f313(f222(x69941),x69942),x69944))+~P1(f313(f313(f222(x69941),x69942),x69943))+P1(f313(f313(f222(x69941),x69942),f313(f313(f93(x69941),x69943),x69944)))
% 119.46/119.26 [6995]~P108(x69951)+~P1(f313(f313(f222(x69951),x69952),x69954))+~P1(f313(f313(f222(x69951),x69952),x69953))+P1(f313(f313(f222(x69951),x69952),f313(f313(f93(x69951),x69953),x69954)))
% 119.46/119.26 [6996]~P4(x69961)+~P1(f313(f313(f223(x69961),x69962),x69964))+~P1(f313(f313(f223(x69961),x69962),x69963))+P1(f313(f313(f223(x69961),x69962),f313(f313(f227(x69961),x69963),x69964)))
% 119.46/119.26 [6997]~P120(x69971)+~P1(f313(f313(f273(x69971),x69972),x69974))+~P1(f313(f313(f273(x69971),x69972),x69973))+P1(f313(f313(f273(x69971),x69972),f313(f313(f73(x69971),x69973),x69974)))
% 119.46/119.26 [6998]~P121(x69981)+~P1(f313(f313(f273(x69981),x69982),x69984))+~P1(f313(f313(f273(x69981),x69982),x69983))+P1(f313(f313(f273(x69981),x69982),f313(f313(f3(x69981),x69983),x69984)))
% 119.46/119.26 [7017]~P71(x70172)+E(x70171,f2(x70172))+E(f313(f313(f277(x70172),f313(f313(f232(x70172),x70171),x70173)),f313(f313(f232(x70172),x70171),x70174)),f313(f313(f232(x70172),x70171),f313(f313(f3(a883),x70173),x70174)))+~P1(f313(f313(f222(a883),x70174),x70173))
% 119.46/119.26 [7063]~P4(x70631)+~P13(x70631,f313(f313(f139(x70631),x70633),x70634))+P13(x70631,f313(f313(f139(x70631),x70632),f313(f313(f139(x70631),x70633),x70634)))+~P1(f313(f313(f222(x70631),x70632),x70633))
% 119.46/119.26 [7064]~P4(x70641)+~P13(x70641,f313(f313(f139(x70641),x70643),x70644))+P13(x70641,f313(f313(f139(x70641),x70642),f313(f313(f139(x70641),x70643),x70644)))+~P1(f313(f313(f222(x70641),x70642),x70643))
% 119.46/119.26 [7100]~P93(x71001)+~P1(f313(f313(f222(x71001),f2(x71001)),x71004))+~P1(f313(f313(f222(x71001),x71002),x71003))+P1(f313(f313(f222(x71001),x71002),f313(f313(f73(x71001),x71003),x71004)))
% 119.46/119.26 [7101]~P93(x71011)+~P1(f313(f313(f222(x71011),f2(x71011)),x71013))+~P1(f313(f313(f222(x71011),x71012),x71014))+P1(f313(f313(f222(x71011),x71012),f313(f313(f73(x71011),x71013),x71014)))
% 119.46/119.26 [7102]~P114(x71021)+~P1(f313(f313(f223(x71021),f2(x71021)),x71023))+~P1(f313(f313(f223(x71021),x71022),x71024))+P1(f313(f313(f223(x71021),x71022),f313(f313(f73(x71021),x71023),x71024)))
% 119.46/119.26 [7103]~P93(x71031)+~P1(f313(f313(f222(x71031),x71032),x71034))+~P1(f313(f313(f223(x71031),f2(x71031)),x71033))+P1(f313(f313(f223(x71031),x71032),f313(f313(f73(x71031),x71033),x71034)))
% 119.46/119.26 [7104]~P93(x71041)+~P1(f313(f313(f222(x71041),f2(x71041)),x71043))+~P1(f313(f313(f223(x71041),x71042),x71044))+P1(f313(f313(f223(x71041),x71042),f313(f313(f73(x71041),x71043),x71044)))
% 119.46/119.26 [7145]~P4(x71451)+P1(f313(f313(f222(x71451),x71452),x71453))+P1(f313(f313(f222(x71451),x71452),x71454))+~P1(f313(f313(f222(x71451),x71452),f313(f313(f177(x71451),x71454),x71453)))
% 119.46/119.26 [7146]~P4(x71461)+P1(f313(f313(f223(x71461),x71462),x71463))+P1(f313(f313(f223(x71461),x71462),x71464))+~P1(f313(f313(f223(x71461),x71462),f313(f313(f177(x71461),x71464),x71463)))
% 119.46/119.26 [7447]~P3(x74472)+~P69(x74471)+~P1(f313(f313(f223(f890(x74471,x74472)),x74473),x74474))+P1(f313(f313(f222(f890(x74471,x74472)),x74473),x74474))
% 119.46/119.26 [7816]~P73(x78161)+~P1(f313(f313(f223(x78161),x78164),f2(x78161)))+~P1(f313(f313(f222(x78161),x78163),f313(f313(f277(x78161),x78162),x78164)))+P1(f313(f313(f222(x78161),x78162),f313(f313(f74(x78161),x78163),x78164)))
% 119.46/119.26 [7817]~P73(x78171)+~P1(f313(f313(f223(x78171),x78174),f2(x78171)))+~P1(f313(f313(f222(x78171),x78173),f313(f313(f74(x78171),x78172),x78174)))+P1(f313(f313(f222(x78171),x78172),f313(f313(f277(x78171),x78173),x78174)))
% 119.46/119.26 [7818]~P73(x78181)+~P1(f313(f313(f223(x78181),x78184),f2(x78181)))+~P1(f313(f313(f223(x78181),x78183),f313(f313(f277(x78181),x78182),x78184)))+P1(f313(f313(f223(x78181),x78182),f313(f313(f74(x78181),x78183),x78184)))
% 119.46/119.26 [7819]~P73(x78191)+~P1(f313(f313(f223(x78191),x78194),f2(x78191)))+~P1(f313(f313(f223(x78191),x78193),f313(f313(f74(x78191),x78192),x78194)))+P1(f313(f313(f223(x78191),x78192),f313(f313(f277(x78191),x78193),x78194)))
% 119.46/119.26 [7926]~P130(x79261)+~P1(f313(f313(f223(x79261),x79262),f2(x79261)))+~P1(f313(f313(f222(x79261),x79264),x79263))+P1(f313(f313(f222(x79261),f313(f313(f74(x79261),x79262),x79263)),f313(f313(f74(x79261),x79262),x79264)))
% 119.46/119.26 [7927]~P140(x79271)+~P1(f313(f313(f222(x79271),x79272),f2(x79271)))+~P1(f313(f313(f222(x79271),x79274),x79273))+P1(f313(f313(f222(x79271),f313(f313(f74(x79271),x79272),x79273)),f313(f313(f74(x79271),x79272),x79274)))
% 119.46/119.26 [7928]~P140(x79281)+~P1(f313(f313(f222(x79281),x79283),f2(x79281)))+~P1(f313(f313(f222(x79281),x79284),x79282))+P1(f313(f313(f222(x79281),f313(f313(f74(x79281),x79282),x79283)),f313(f313(f74(x79281),x79284),x79283)))
% 119.46/119.26 [7929]~P72(x79291)+~P1(f313(f313(f222(x79291),x79293),f2(x79291)))+~P1(f313(f313(f222(x79291),x79294),x79292))+P1(f313(f313(f222(x79291),f313(f313(f277(x79291),x79292),x79293)),f313(f313(f277(x79291),x79294),x79293)))
% 119.46/119.26 [7930]~P130(x79301)+~P1(f313(f313(f223(x79301),x79302),f2(x79301)))+~P1(f313(f313(f223(x79301),x79304),x79303))+P1(f313(f313(f223(x79301),f313(f313(f74(x79301),x79302),x79303)),f313(f313(f74(x79301),x79302),x79304)))
% 119.46/119.26 [7931]~P130(x79311)+~P1(f313(f313(f223(x79311),x79312),f2(x79311)))+~P1(f313(f313(f223(x79311),x79314),x79313))+P1(f313(f313(f223(x79311),f313(f313(f74(x79311),x79312),x79313)),f313(f313(f74(x79311),x79312),x79314)))
% 119.46/119.26 [7932]~P130(x79321)+~P1(f313(f313(f223(x79321),x79323),f2(x79321)))+~P1(f313(f313(f223(x79321),x79324),x79322))+P1(f313(f313(f223(x79321),f313(f313(f74(x79321),x79322),x79323)),f313(f313(f74(x79321),x79324),x79323)))
% 119.46/119.26 [7933]~P130(x79331)+~P1(f313(f313(f223(x79331),x79333),f2(x79331)))+~P1(f313(f313(f223(x79331),x79334),x79332))+P1(f313(f313(f223(x79331),f313(f313(f74(x79331),x79332),x79333)),f313(f313(f74(x79331),x79334),x79333)))
% 119.46/119.26 [7934]~P130(x79341)+~P1(f313(f313(f223(x79341),x79342),f2(x79341)))+~P1(f313(f313(f223(x79341),x79344),x79343))+P1(f313(f313(f223(x79341),f313(f313(f74(x79341),x79342),x79343)),f313(f313(f74(x79341),x79342),x79344)))
% 119.46/119.26 [7935]~P73(x79351)+~P1(f313(f313(f223(x79351),x79353),f2(x79351)))+~P1(f313(f313(f223(x79351),x79354),x79352))+P1(f313(f313(f223(x79351),f313(f313(f277(x79351),x79352),x79353)),f313(f313(f277(x79351),x79354),x79353)))
% 119.46/119.26 [7936]~P114(x79361)+~P1(f313(f313(f223(x79361),f71(x79361)),x79362))+~P1(f313(f313(f222(a883),x79363),x79364))+P1(f313(f313(f222(x79361),f313(f313(f232(x79361),x79362),x79363)),f313(f313(f232(x79361),x79362),x79364)))
% 119.46/119.26 [7937]~P114(x79371)+~P1(f313(f313(f222(x79371),f71(x79371)),x79372))+~P1(f313(f313(f222(a883),x79373),x79374))+P1(f313(f313(f222(x79371),f313(f313(f232(x79371),x79372),x79373)),f313(f313(f232(x79371),x79372),x79374)))
% 119.46/119.26 [7938]~P114(x79381)+~P1(f313(f313(f223(x79381),f71(x79381)),x79382))+~P1(f313(f313(f223(a883),x79383),x79384))+P1(f313(f313(f223(x79381),f313(f313(f232(x79381),x79382),x79383)),f313(f313(f232(x79381),x79382),x79384)))
% 119.46/119.26 [7939]~P114(x79391)+~P1(f313(f313(f223(x79391),f71(x79391)),x79392))+~P1(f313(f313(f223(a883),x79393),x79394))+P1(f313(f313(f223(x79391),f313(f313(f232(x79391),x79392),x79393)),f313(f313(f232(x79391),x79392),x79394)))
% 119.46/119.26 [7965]P1(f313(f313(f223(a883),f2(a883)),f313(x79651,x79652)))+~P1(f313(f54(x79653),x79654))+~P1(f313(f313(f315(x79653),x79652),x79654))+~P1(f313(f313(f223(a883),f2(a883)),f313(f313(f11(x79653,a883),x79651),x79654)))
% 119.46/119.26 [7976]~P114(x79761)+~P1(f313(f313(f222(x79761),x79762),x79764))+~P1(f313(f313(f222(x79761),f2(x79761)),x79762))+P1(f313(f313(f222(x79761),f313(f313(f232(x79761),x79762),x79763)),f313(f313(f232(x79761),x79764),x79763)))
% 119.46/119.26 [7977]~P130(x79771)+~P1(f313(f313(f223(x79771),f2(x79771)),x79772))+~P1(f313(f313(f222(x79771),x79773),x79774))+P1(f313(f313(f222(x79771),f313(f313(f74(x79771),x79772),x79773)),f313(f313(f74(x79771),x79772),x79774)))
% 119.46/119.26 [7978]~P142(x79781)+~P1(f313(f313(f222(x79781),x79783),x79784))+~P1(f313(f313(f222(x79781),f2(x79781)),x79782))+P1(f313(f313(f222(x79781),f313(f313(f74(x79781),x79782),x79783)),f313(f313(f74(x79781),x79782),x79784)))
% 119.46/119.26 [7979]~P141(x79791)+~P1(f313(f313(f222(x79791),x79793),x79794))+~P1(f313(f313(f222(x79791),f2(x79791)),x79792))+P1(f313(f313(f222(x79791),f313(f313(f74(x79791),x79792),x79793)),f313(f313(f74(x79791),x79792),x79794)))
% 119.46/119.26 [7980]~P142(x79801)+~P1(f313(f313(f222(x79801),x79802),x79804))+~P1(f313(f313(f222(x79801),f2(x79801)),x79803))+P1(f313(f313(f222(x79801),f313(f313(f74(x79801),x79802),x79803)),f313(f313(f74(x79801),x79804),x79803)))
% 119.46/119.26 [7981]~P72(x79811)+~P1(f313(f313(f222(x79811),x79812),x79814))+~P1(f313(f313(f222(x79811),f2(x79811)),x79813))+P1(f313(f313(f222(x79811),f313(f313(f277(x79811),x79812),x79813)),f313(f313(f277(x79811),x79814),x79813)))
% 119.46/119.26 [7982]~P130(x79821)+~P1(f313(f313(f223(x79821),x79823),x79824))+~P1(f313(f313(f223(x79821),f2(x79821)),x79822))+P1(f313(f313(f223(x79821),f313(f313(f74(x79821),x79822),x79823)),f313(f313(f74(x79821),x79822),x79824)))
% 119.46/119.26 [7983]~P132(x79831)+~P1(f313(f313(f223(x79831),x79833),x79834))+~P1(f313(f313(f223(x79831),f2(x79831)),x79832))+P1(f313(f313(f223(x79831),f313(f313(f74(x79831),x79832),x79833)),f313(f313(f74(x79831),x79832),x79834)))
% 119.46/119.26 [7984]~P119(x79841)+~P1(f313(f313(f223(x79841),x79843),x79844))+~P1(f313(f313(f223(x79841),f2(x79841)),x79842))+P1(f313(f313(f223(x79841),f313(f313(f74(x79841),x79842),x79843)),f313(f313(f74(x79841),x79842),x79844)))
% 119.46/119.26 [7985]~P130(x79851)+~P1(f313(f313(f223(x79851),x79852),x79854))+~P1(f313(f313(f223(x79851),f2(x79851)),x79853))+P1(f313(f313(f223(x79851),f313(f313(f74(x79851),x79852),x79853)),f313(f313(f74(x79851),x79854),x79853)))
% 119.46/119.26 [7986]~P132(x79861)+~P1(f313(f313(f223(x79861),x79862),x79864))+~P1(f313(f313(f223(x79861),f2(x79861)),x79863))+P1(f313(f313(f223(x79861),f313(f313(f74(x79861),x79862),x79863)),f313(f313(f74(x79861),x79864),x79863)))
% 119.46/119.26 [7987]~P130(x79871)+~P1(f313(f313(f223(x79871),x79873),x79874))+~P1(f313(f313(f223(x79871),f2(x79871)),x79872))+P1(f313(f313(f223(x79871),f313(f313(f74(x79871),x79872),x79873)),f313(f313(f74(x79871),x79872),x79874)))
% 119.46/119.26 [7988]~P73(x79881)+~P1(f313(f313(f223(x79881),x79882),x79884))+~P1(f313(f313(f223(x79881),f2(x79881)),x79883))+P1(f313(f313(f223(x79881),f313(f313(f277(x79881),x79882),x79883)),f313(f313(f277(x79881),x79884),x79883)))
% 119.46/119.26 [8029]~P112(x80292)+P1(f313(f313(f223(f890(x80291,x80292)),x80294),x80293))+~P1(f313(f313(f222(f890(x80291,x80292)),x80294),x80293))+P1(f313(f313(f222(f890(x80291,x80292)),x80293),x80294))
% 119.46/119.26 [8070]P1(f313(f313(f315(x80701),x80702),x80703))+P1(f313(f313(f315(x80701),x80702),x80704))+~P1(f313(f313(f222(f890(x80701,a881)),x80704),x80703))+P1(f313(f313(f223(f890(x80701,a881)),x80704),f313(f313(f295(x80701),x80702),x80703)))
% 119.46/119.26 [8180]~P124(x81802)+E(x81801,f2(x81802))+P1(f313(f313(f273(x81802),x81803),x81804))+~P1(f313(f313(f273(x81802),f313(f313(f74(x81802),x81803),x81801)),f313(f313(f74(x81802),x81804),x81801)))
% 119.46/119.26 [8181]~P124(x81812)+E(x81811,f2(x81812))+P1(f313(f313(f273(x81812),x81813),x81814))+~P1(f313(f313(f273(x81812),f313(f313(f74(x81812),x81811),x81813)),f313(f313(f74(x81812),x81811),x81814)))
% 119.46/119.26 [8230]P1(f313(f313(f315(x82301),x82302),x82303))+P1(f313(f313(f315(x82301),x82302),x82304))+~P1(f313(f313(f223(f890(x82301,a881)),x82304),f313(f313(f295(x82301),x82302),x82303)))+P1(f313(f313(f222(f890(x82301,a881)),x82304),x82303))
% 119.46/119.26 [8295]~P130(x82951)+P1(f313(f313(f223(x82951),x82953),x82952))+P1(f313(f313(f223(x82951),x82952),x82953))+~P1(f313(f313(f223(x82951),f313(f313(f74(x82951),x82954),x82952)),f313(f313(f74(x82951),x82954),x82953)))
% 119.46/119.26 [8296]~P130(x82961)+P1(f313(f313(f223(x82961),x82963),x82962))+P1(f313(f313(f223(x82961),x82962),x82963))+~P1(f313(f313(f223(x82961),f313(f313(f74(x82961),x82962),x82964)),f313(f313(f74(x82961),x82963),x82964)))
% 119.46/119.26 [8307]~P130(x83071)+P1(f313(f313(f223(x83071),x83074),f2(x83071)))+P1(f313(f313(f223(x83071),x83072),x83073))+~P1(f313(f313(f223(x83071),f313(f313(f74(x83071),x83072),x83074)),f313(f313(f74(x83071),x83073),x83074)))
% 119.46/119.26 [8308]~P130(x83081)+P1(f313(f313(f223(x83081),x83084),f2(x83081)))+P1(f313(f313(f223(x83081),x83082),x83083))+~P1(f313(f313(f223(x83081),f313(f313(f74(x83081),x83084),x83082)),f313(f313(f74(x83081),x83084),x83083)))
% 119.46/119.26 [8311]~P130(x83111)+P1(f313(f313(f223(x83111),x83112),x83113))+P1(f313(f313(f223(x83111),f2(x83111)),x83114))+~P1(f313(f313(f223(x83111),f313(f313(f74(x83111),x83114),x83113)),f313(f313(f74(x83111),x83114),x83112)))
% 119.46/119.26 [8312]~P130(x83121)+P1(f313(f313(f223(x83121),x83122),x83123))+P1(f313(f313(f223(x83121),f2(x83121)),x83124))+~P1(f313(f313(f223(x83121),f313(f313(f74(x83121),x83123),x83124)),f313(f313(f74(x83121),x83122),x83124)))
% 119.46/119.26 [8325]~P130(x83251)+P1(f313(f313(f223(x83251),x83252),f2(x83251)))+P1(f313(f313(f223(x83251),f2(x83251)),x83252))+~P1(f313(f313(f223(x83251),f313(f313(f74(x83251),x83253),x83252)),f313(f313(f74(x83251),x83254),x83252)))
% 119.46/119.26 [8326]~P130(x83261)+P1(f313(f313(f223(x83261),x83262),f2(x83261)))+P1(f313(f313(f223(x83261),f2(x83261)),x83262))+~P1(f313(f313(f223(x83261),f313(f313(f74(x83261),x83262),x83263)),f313(f313(f74(x83261),x83262),x83264)))
% 119.46/119.26 [8354]~P130(x83541)+~P1(f313(f313(f223(x83541),x83544),f2(x83541)))+P1(f313(f313(f222(x83541),x83542),x83543))+~P1(f313(f313(f222(x83541),f313(f313(f74(x83541),x83544),x83543)),f313(f313(f74(x83541),x83544),x83542)))
% 119.46/119.26 [8355]~P130(x83551)+~P1(f313(f313(f223(x83551),x83554),f2(x83551)))+P1(f313(f313(f223(x83551),x83552),x83553))+~P1(f313(f313(f223(x83551),f313(f313(f74(x83551),x83554),x83553)),f313(f313(f74(x83551),x83554),x83552)))
% 119.46/119.26 [8365]~P114(x83653)+~P1(f313(f313(f223(x83653),f71(x83653)),x83654))+P1(f313(f313(f222(a883),x83651),x83652))+~P1(f313(f313(f222(x83653),f313(f313(f232(x83653),x83654),x83651)),f313(f313(f232(x83653),x83654),x83652)))
% 119.46/119.26 [8366]~P114(x83663)+~P1(f313(f313(f223(x83663),f71(x83663)),x83664))+P1(f313(f313(f222(a883),x83661),x83662))+~P1(f313(f313(f222(x83663),f313(f313(f232(x83663),x83664),x83661)),f313(f313(f232(x83663),x83664),x83662)))
% 119.46/119.26 [8367]~P114(x83673)+~P1(f313(f313(f223(x83673),f71(x83673)),x83674))+P1(f313(f313(f223(a883),x83671),x83672))+~P1(f313(f313(f223(x83673),f313(f313(f232(x83673),x83674),x83671)),f313(f313(f232(x83673),x83674),x83672)))
% 119.46/119.26 [8368]~P114(x83683)+~P1(f313(f313(f223(x83683),f71(x83683)),x83684))+P1(f313(f313(f223(a883),x83681),x83682))+~P1(f313(f313(f223(x83683),f313(f313(f232(x83683),x83684),x83681)),f313(f313(f232(x83683),x83684),x83682)))
% 119.46/119.26 [8378]~P130(x83781)+P1(f313(f313(f222(x83781),x83782),x83783))+~P1(f313(f313(f223(x83781),f2(x83781)),x83784))+~P1(f313(f313(f222(x83781),f313(f313(f74(x83781),x83784),x83782)),f313(f313(f74(x83781),x83784),x83783)))
% 119.46/119.26 [8379]~P132(x83791)+P1(f313(f313(f222(x83791),x83792),x83793))+~P1(f313(f313(f223(x83791),f2(x83791)),x83794))+~P1(f313(f313(f222(x83791),f313(f313(f74(x83791),x83794),x83792)),f313(f313(f74(x83791),x83794),x83793)))
% 119.46/119.26 [8380]~P132(x83801)+P1(f313(f313(f222(x83801),x83802),x83803))+~P1(f313(f313(f223(x83801),f2(x83801)),x83804))+~P1(f313(f313(f222(x83801),f313(f313(f74(x83801),x83802),x83804)),f313(f313(f74(x83801),x83803),x83804)))
% 119.46/119.26 [8381]~P130(x83811)+P1(f313(f313(f223(x83811),x83812),x83813))+~P1(f313(f313(f223(x83811),f2(x83811)),x83814))+~P1(f313(f313(f223(x83811),f313(f313(f74(x83811),x83814),x83812)),f313(f313(f74(x83811),x83814),x83813)))
% 119.46/119.26 [8382]~P132(x83821)+P1(f313(f313(f223(x83821),x83822),x83823))+~P1(f313(f313(f222(x83821),f2(x83821)),x83824))+~P1(f313(f313(f223(x83821),f313(f313(f74(x83821),x83824),x83822)),f313(f313(f74(x83821),x83824),x83823)))
% 119.46/119.26 [8383]~P133(x83831)+P1(f313(f313(f223(x83831),x83832),x83833))+~P1(f313(f313(f222(x83831),f2(x83831)),x83834))+~P1(f313(f313(f223(x83831),f313(f313(f74(x83831),x83834),x83832)),f313(f313(f74(x83831),x83834),x83833)))
% 119.46/119.26 [8384]~P114(x83841)+~P1(f313(f313(f222(x83841),f2(x83841)),x83843))+P1(f313(f313(f223(x83841),x83842),x83843))+~P1(f313(f313(f223(x83841),f313(f313(f232(x83841),x83842),x83844)),f313(f313(f232(x83841),x83843),x83844)))
% 119.46/119.26 [8385]~P132(x83851)+P1(f313(f313(f223(x83851),x83852),x83853))+~P1(f313(f313(f222(x83851),f2(x83851)),x83854))+~P1(f313(f313(f223(x83851),f313(f313(f74(x83851),x83852),x83854)),f313(f313(f74(x83851),x83853),x83854)))
% 119.46/119.26 [8386]~P133(x83861)+P1(f313(f313(f223(x83861),x83862),x83863))+~P1(f313(f313(f222(x83861),f2(x83861)),x83864))+~P1(f313(f313(f223(x83861),f313(f313(f74(x83861),x83862),x83864)),f313(f313(f74(x83861),x83863),x83864)))
% 119.46/119.26 [8428]P1(f313(f313(f315(x84281),x84282),x84283))+~P1(f313(f313(f222(f890(x84281,a881)),x84283),x84284))+~P1(f313(f313(f223(f890(x84281,a881)),x84283),x84284))+P1(f313(f313(f223(f890(x84281,a881)),x84283),f313(f313(f295(x84281),x84282),x84284)))
% 119.46/119.26 [8460]~P146(x84601)+~P125(x84601)+P1(f313(f313(f273(x84601),x84602),f313(f313(f73(x84601),f858(x84602,x84603,x84601)),f2(x84601))))+~P1(f313(x84603,f313(f313(f74(x84601),x84602),x84604)))
% 119.46/119.26 [8791]E(f313(f313(f3(a1),f874(x87911,x87912,x87913,x87914)),f875(x87911,x87912,x87913,x87914)),x87914)+~P1(f313(f313(f223(a1),f2(a1)),x87913))+~P1(f313(f313(f222(a1),x87911),x87914))+P1(f313(f313(f222(a1),x87911),f313(f313(f73(a1),x87914),x87913)))
% 119.46/119.26 [8792]E(f313(f313(f3(a1),f323(x87921,x87922,x87923,x87924)),f324(x87921,x87922,x87923,x87924)),x87924)+~P1(f313(f313(f223(a1),f2(a1)),x87923))+~P1(f313(f313(f223(a1),x87921),x87924))+P1(f313(f313(f223(a1),x87921),f313(f313(f73(a1),x87924),x87923)))
% 119.46/119.26 [8937]~E(f313(f313(f152(x89371),x89373),f709(x89374,x89373,x89371,x89372)),f313(f313(f152(x89371),x89374),f709(x89374,x89373,x89371,x89372)))+E(f313(f313(f163(x89371),x89372),x89373),f313(f313(f163(x89371),x89372),x89374))+~P1(f313(f313(f222(a883),x89372),f313(f179(f885(x89371)),x89373)))+~P1(f313(f313(f222(a883),x89372),f313(f179(f885(x89371)),x89374)))
% 119.46/119.26 [8998]~P1(f313(f313(f223(a1),f2(a1)),x89983))+~P1(f313(f313(f222(a1),x89981),x89984))+P1(f313(f313(f315(a1),f874(x89981,x89982,x89983,x89984)),x89982))+P1(f313(f313(f222(a1),x89981),f313(f313(f73(a1),x89984),x89983)))
% 119.46/119.26 [8999]~P1(f313(f313(f223(a1),f2(a1)),x89993))+~P1(f313(f313(f223(a1),x89991),x89994))+P1(f313(f313(f315(a1),f323(x89991,x89992,x89993,x89994)),x89992))+P1(f313(f313(f223(a1),x89991),f313(f313(f73(a1),x89994),x89993)))
% 119.46/119.26 [9039]~P4(x90391)+~P1(f313(f54(x90391),x90393))+~P1(f313(f313(f315(x90391),x90394),x90393))+P1(f313(f313(f222(x90391),f313(f313(f57(x90391,x90391,f227(x90391)),x90392),x90393)),f313(f313(f227(x90391),x90394),x90392)))
% 119.46/119.26 [9040]~P108(x90401)+~P1(f313(f54(x90401),x90403))+~P1(f313(f313(f315(x90401),x90404),x90403))+P1(f313(f313(f222(x90401),f313(f313(f57(x90401,x90401,f93(x90401)),x90402),x90403)),f313(f313(f93(x90401),x90404),x90402)))
% 119.46/119.26 [9047]~P8(x90472,x90473,x90474)+~P1(f313(f54(x90472),x90473))+P1(f313(f313(f273(a883),x90471),f313(f28(x90472),x90473)))+P1(f313(f313(f315(f890(x90472,a881)),f473(x90471,x90474,x90473,x90472)),f313(f313(f53(x90472),x90473),x90474)))
% 119.46/119.26 [9086]E(f313(f313(f163(x90861),x90862),x90863),f313(f313(f163(x90861),x90862),x90864))+P1(f313(f313(f223(a883),f709(x90863,x90864,x90861,x90862)),x90862))+~P1(f313(f313(f222(a883),x90862),f313(f179(f885(x90861)),x90863)))+~P1(f313(f313(f222(a883),x90862),f313(f179(f885(x90861)),x90864)))
% 119.46/119.26 [9091]~P1(f313(f313(f223(a1),f2(a1)),x90913))+~P1(f313(f313(f222(a1),x90911),x90912))+P1(f313(f313(f315(a1),f875(x90911,x90914,x90913,x90912)),f289(a1,f71(a1),x90913)))+P1(f313(f313(f222(a1),x90911),f313(f313(f73(a1),x90912),x90913)))
% 119.46/119.26 [9092]~P1(f313(f313(f223(a1),f2(a1)),x90923))+~P1(f313(f313(f223(a1),x90921),x90922))+P1(f313(f313(f315(a1),f324(x90921,x90924,x90923,x90922)),f289(a1,f71(a1),x90923)))+P1(f313(f313(f223(a1),x90921),f313(f313(f73(a1),x90922),x90923)))
% 119.46/119.26 [9411]~P4(x94111)+~P1(f313(f54(x94111),x94114))+P1(f313(f313(f315(x94111),f644(x94112,x94113,x94114,x94111)),x94114))+P1(f313(f313(f222(x94111),f313(f313(f57(x94111,x94111,f177(x94111)),x94112),x94114)),f313(f313(f177(x94111),x94113),x94112)))
% 119.46/119.26 [9412]~P102(x94121)+~P1(f313(f54(x94121),x94124))+P1(f313(f313(f315(x94121),f647(x94122,x94123,x94124,x94121)),x94124))+P1(f313(f313(f222(x94121),f313(f313(f57(x94121,x94121,f92(x94121)),x94122),x94124)),f313(f313(f92(x94121),x94123),x94122)))
% 119.46/119.26 [9545]~P4(x95451)+~P1(f313(f54(x95451),x95453))+~P1(f313(f313(f222(x95451),f644(x95452,x95454,x95453,x95451)),x95454))+P1(f313(f313(f222(x95451),f313(f313(f57(x95451,x95451,f177(x95451)),x95452),x95453)),f313(f313(f177(x95451),x95454),x95452)))
% 119.46/119.26 [9546]~P102(x95461)+~P1(f313(f54(x95461),x95463))+~P1(f313(f313(f222(x95461),f647(x95462,x95464,x95463,x95461)),x95464))+P1(f313(f313(f222(x95461),f313(f313(f57(x95461,x95461,f92(x95461)),x95462),x95463)),f313(f313(f92(x95461),x95464),x95462)))
% 119.46/119.26 [9548]~P1(f313(f313(f222(a1),f2(a1)),x95484))+~P1(f313(f313(f223(a1),f2(a1)),x95483))+~P1(f313(f313(f223(a1),x95484),x95481))+P1(f313(f313(f223(a1),f313(f313(f73(a1),f313(f313(f74(a1),x95481),f38(a1,x95482,x95483))),x95484)),f313(f313(f74(a1),x95481),x95483)))
% 119.46/119.26 [9832]~P3(x98321)+P1(f313(f313(f223(x98321),f313(x98322,x98323)),f313(x98322,x98324)))+~P1(f313(f313(f223(a883),x98323),x98324))+~P1(f313(f313(f223(x98321),f313(x98322,f347(x98324,x98323,x98322,x98321))),f313(x98322,f313(a103,f347(x98324,x98323,x98322,x98321)))))
% 119.46/119.26 [9833]~P3(x98331)+P1(f313(f313(f223(x98331),f313(x98332,x98333)),f313(x98332,x98334)))+~P1(f313(f313(f223(a883),x98333),x98334))+~P1(f313(f313(f223(x98331),f313(x98332,f357(x98334,x98333,x98332,x98331))),f313(x98332,f313(a103,f357(x98334,x98333,x98332,x98331)))))
% 119.46/119.26 [9834]~P3(x98343)+~P1(f313(f313(f223(x98343),f313(x98344,x98341)),f313(x98344,x98342)))+P1(f313(f313(f223(a883),x98341),x98342))+~P1(f313(f313(f223(x98343),f313(x98344,f347(x98342,x98341,x98344,x98343))),f313(x98344,f313(a103,f347(x98342,x98341,x98344,x98343)))))
% 119.46/119.26 [9938]E(x99381,x99382)+P1(f313(f313(f315(f889(f885(x99383),f885(x99383))),f313(f313(f240(f885(x99383),f885(x99383)),x99382),x99381)),f135(x99383,x99384)))+P1(f313(f313(f315(f889(f885(x99383),f885(x99383))),f313(f313(f240(f885(x99383),f885(x99383)),x99381),x99382)),f135(x99383,x99384)))+~P1(f313(f313(f315(f889(x99383,x99383)),f313(f313(f240(x99383,x99383),f673(x99381,x99382,x99384,x99383)),f675(x99381,x99382,x99384,x99383))),x99384))
% 119.46/119.26 [9939]E(x99391,x99392)+P1(f313(f313(f315(f889(f885(x99393),f885(x99393))),f313(f313(f240(f885(x99393),f885(x99393)),x99392),x99391)),f135(x99393,x99394)))+P1(f313(f313(f315(f889(f885(x99393),f885(x99393))),f313(f313(f240(f885(x99393),f885(x99393)),x99391),x99392)),f135(x99393,x99394)))+~P1(f313(f313(f315(f889(x99393,x99393)),f313(f313(f240(x99393,x99393),f675(x99391,x99392,x99394,x99393)),f673(x99391,x99392,x99394,x99393))),x99394))
% 119.46/119.26 [7512]~P4(x75121)+~P1(f313(f313(f222(x75121),x75123),x75124))+~P1(f313(f313(f222(x75121),x75122),x75124))+P1(f313(f313(f222(x75121),f313(f313(f177(x75121),x75122),x75123)),x75124))
% 119.46/119.26 [7513]~P4(x75131)+~P1(f313(f313(f222(x75131),x75133),x75134))+~P1(f313(f313(f222(x75131),x75132),x75134))+P1(f313(f313(f222(x75131),f313(f313(f177(x75131),x75132),x75133)),x75134))
% 119.46/119.26 [7514]~P4(x75141)+~P1(f313(f313(f222(x75141),x75143),x75144))+~P1(f313(f313(f222(x75141),x75142),x75144))+P1(f313(f313(f222(x75141),f313(f313(f177(x75141),x75142),x75143)),x75144))
% 119.46/119.26 [7515]~P102(x75151)+~P1(f313(f313(f222(x75151),x75153),x75154))+~P1(f313(f313(f222(x75151),x75152),x75154))+P1(f313(f313(f222(x75151),f313(f313(f92(x75151),x75152),x75153)),x75154))
% 119.46/119.26 [7516]~P102(x75161)+~P1(f313(f313(f222(x75161),x75163),x75164))+~P1(f313(f313(f222(x75161),x75162),x75164))+P1(f313(f313(f222(x75161),f313(f313(f92(x75161),x75162),x75163)),x75164))
% 119.46/119.26 [7517]~P102(x75171)+~P1(f313(f313(f222(x75171),x75173),x75174))+~P1(f313(f313(f222(x75171),x75172),x75174))+P1(f313(f313(f222(x75171),f313(f313(f92(x75171),x75172),x75173)),x75174))
% 119.46/119.26 [7518]~P4(x75181)+~P1(f313(f313(f223(x75181),x75183),x75184))+~P1(f313(f313(f223(x75181),x75182),x75184))+P1(f313(f313(f223(x75181),f313(f313(f177(x75181),x75182),x75183)),x75184))
% 119.46/119.26 [7759]~P66(x77591)+E(f313(f313(f73(x77591),f313(f313(f29(x77591),x77592),x77593)),f313(f313(f29(x77591),x77594),x77593)),f313(f313(f29(x77591),f313(f313(f73(x77591),x77592),x77594)),x77593))+~P1(f313(f313(f273(x77591),x77593),x77594))+~P1(f313(f313(f273(x77591),x77593),x77592))
% 119.46/119.26 [7841]~E(x78411,x78413)+E(f127(a883,f313(f288(a883,x78411),x78412)),f313(f313(f139(a883),x78413),x78414))+~E(f127(a883,f313(f288(a883,f313(f313(f73(a883),x78411),f71(a883))),x78412)),x78414)+~P1(f313(f313(f223(a883),x78411),x78412))
% 119.46/119.26 [7849]~P4(x78491)+P1(f313(f313(f222(x78491),x78492),x78493))+P1(f313(f313(f222(x78491),x78494),x78493))+~P1(f313(f313(f222(x78491),f313(f313(f227(x78491),x78494),x78492)),x78493))
% 119.46/119.26 [7850]~P4(x78501)+P1(f313(f313(f223(x78501),x78502),x78503))+P1(f313(f313(f223(x78501),x78504),x78503))+~P1(f313(f313(f223(x78501),f313(f313(f227(x78501),x78504),x78502)),x78503))
% 119.46/119.26 [8126]~P72(x81261)+~P1(f313(f313(f223(x81261),f2(x81261)),x81263))+~P1(f313(f313(f222(x81261),x81262),f313(f313(f277(x81261),x81264),x81263)))+P1(f313(f313(f222(x81261),f313(f313(f74(x81261),x81262),x81263)),x81264))
% 119.46/119.26 [8127]~P73(x81271)+~P1(f313(f313(f223(x81271),f2(x81271)),x81273))+~P1(f313(f313(f222(x81271),x81272),f313(f313(f277(x81271),x81274),x81273)))+P1(f313(f313(f222(x81271),f313(f313(f74(x81271),x81272),x81273)),x81274))
% 119.46/119.26 [8128]~P72(x81281)+~P1(f313(f313(f223(x81281),f2(x81281)),x81283))+~P1(f313(f313(f222(x81281),x81282),f313(f313(f74(x81281),x81284),x81283)))+P1(f313(f313(f222(x81281),f313(f313(f277(x81281),x81282),x81283)),x81284))
% 119.46/119.26 [8129]~P73(x81291)+~P1(f313(f313(f223(x81291),f2(x81291)),x81293))+~P1(f313(f313(f222(x81291),x81292),f313(f313(f74(x81291),x81294),x81293)))+P1(f313(f313(f222(x81291),f313(f313(f277(x81291),x81292),x81293)),x81294))
% 119.46/119.26 [8130]~P73(x81301)+~P1(f313(f313(f223(x81301),f2(x81301)),x81303))+~P1(f313(f313(f222(x81301),x81302),f313(f313(f74(x81301),x81304),x81303)))+P1(f313(f313(f222(x81301),f313(f313(f277(x81301),x81302),x81303)),x81304))
% 119.46/119.26 [8131]~P72(x81311)+~P1(f313(f313(f223(x81311),f2(x81311)),x81313))+~P1(f313(f313(f223(x81311),x81312),f313(f313(f277(x81311),x81314),x81313)))+P1(f313(f313(f223(x81311),f313(f313(f74(x81311),x81312),x81313)),x81314))
% 119.46/119.26 [8132]~P73(x81321)+~P1(f313(f313(f223(x81321),f2(x81321)),x81323))+~P1(f313(f313(f223(x81321),x81322),f313(f313(f277(x81321),x81324),x81323)))+P1(f313(f313(f223(x81321),f313(f313(f74(x81321),x81322),x81323)),x81324))
% 119.46/119.26 [8133]~P72(x81331)+~P1(f313(f313(f223(x81331),f2(x81331)),x81333))+~P1(f313(f313(f223(x81331),x81332),f313(f313(f74(x81331),x81334),x81333)))+P1(f313(f313(f223(x81331),f313(f313(f277(x81331),x81332),x81333)),x81334))
% 119.46/119.26 [8134]~P73(x81341)+~P1(f313(f313(f223(x81341),f2(x81341)),x81343))+~P1(f313(f313(f223(x81341),x81342),f313(f313(f74(x81341),x81344),x81343)))+P1(f313(f313(f223(x81341),f313(f313(f277(x81341),x81342),x81343)),x81344))
% 119.46/119.26 [8135]~P73(x81351)+~P1(f313(f313(f223(x81351),f2(x81351)),x81353))+~P1(f313(f313(f223(x81351),x81352),f313(f313(f74(x81351),x81354),x81353)))+P1(f313(f313(f223(x81351),f313(f313(f277(x81351),x81352),x81353)),x81354))
% 119.46/119.26 [8265]~P72(x82651)+~P1(f313(f313(f223(x82651),f2(x82651)),x82654))+P1(f313(f313(f222(x82651),x82652),f313(f313(f74(x82651),x82653),x82654)))+~P1(f313(f313(f222(x82651),f313(f313(f277(x82651),x82652),x82654)),x82653))
% 119.46/119.26 [8266]~P72(x82661)+~P1(f313(f313(f223(x82661),f2(x82661)),x82664))+P1(f313(f313(f222(x82661),x82662),f313(f313(f277(x82661),x82663),x82664)))+~P1(f313(f313(f222(x82661),f313(f313(f74(x82661),x82662),x82664)),x82663))
% 119.46/119.26 [8267]~P73(x82671)+~P1(f313(f313(f223(x82671),f2(x82671)),x82674))+P1(f313(f313(f222(x82671),x82672),f313(f313(f277(x82671),x82673),x82674)))+~P1(f313(f313(f222(x82671),f313(f313(f74(x82671),x82672),x82674)),x82673))
% 119.46/119.26 [8268]~P73(x82681)+~P1(f313(f313(f223(x82681),f2(x82681)),x82684))+P1(f313(f313(f222(x82681),x82682),f313(f313(f74(x82681),x82683),x82684)))+~P1(f313(f313(f222(x82681),f313(f313(f277(x82681),x82682),x82684)),x82683))
% 119.46/119.26 [8269]~P73(x82691)+~P1(f313(f313(f223(x82691),f2(x82691)),x82694))+P1(f313(f313(f222(x82691),x82692),f313(f313(f277(x82691),x82693),x82694)))+~P1(f313(f313(f222(x82691),f313(f313(f74(x82691),x82692),x82694)),x82693))
% 119.46/119.26 [8270]~P72(x82701)+~P1(f313(f313(f223(x82701),f2(x82701)),x82704))+P1(f313(f313(f223(x82701),x82702),f313(f313(f74(x82701),x82703),x82704)))+~P1(f313(f313(f223(x82701),f313(f313(f277(x82701),x82702),x82704)),x82703))
% 119.46/119.26 [8271]~P72(x82711)+~P1(f313(f313(f223(x82711),f2(x82711)),x82714))+P1(f313(f313(f223(x82711),x82712),f313(f313(f277(x82711),x82713),x82714)))+~P1(f313(f313(f223(x82711),f313(f313(f74(x82711),x82712),x82714)),x82713))
% 119.46/119.26 [8272]~P73(x82721)+~P1(f313(f313(f223(x82721),f2(x82721)),x82724))+P1(f313(f313(f223(x82721),x82722),f313(f313(f277(x82721),x82723),x82724)))+~P1(f313(f313(f223(x82721),f313(f313(f74(x82721),x82722),x82724)),x82723))
% 119.46/119.26 [8273]~P73(x82731)+~P1(f313(f313(f223(x82731),f2(x82731)),x82734))+P1(f313(f313(f223(x82731),x82732),f313(f313(f74(x82731),x82733),x82734)))+~P1(f313(f313(f223(x82731),f313(f313(f277(x82731),x82732),x82734)),x82733))
% 119.46/119.26 [8274]~P73(x82741)+~P1(f313(f313(f223(x82741),f2(x82741)),x82744))+P1(f313(f313(f223(x82741),x82742),f313(f313(f277(x82741),x82743),x82744)))+~P1(f313(f313(f223(x82741),f313(f313(f74(x82741),x82742),x82744)),x82743))
% 119.46/119.26 [8431]~P73(x84311)+~P1(f313(f313(f223(x84311),x84313),f2(x84311)))+~P1(f313(f313(f222(x84311),f313(f313(f277(x84311),x84314),x84313)),x84312))+P1(f313(f313(f222(x84311),f313(f313(f74(x84311),x84312),x84313)),x84314))
% 119.46/119.26 [8432]~P73(x84321)+~P1(f313(f313(f223(x84321),x84323),f2(x84321)))+~P1(f313(f313(f222(x84321),f313(f313(f74(x84321),x84324),x84323)),x84322))+P1(f313(f313(f222(x84321),f313(f313(f277(x84321),x84322),x84323)),x84324))
% 119.46/119.26 [8433]~P73(x84331)+~P1(f313(f313(f223(x84331),x84333),f2(x84331)))+~P1(f313(f313(f223(x84331),f313(f313(f277(x84331),x84334),x84333)),x84332))+P1(f313(f313(f223(x84331),f313(f313(f74(x84331),x84332),x84333)),x84334))
% 119.46/119.26 [8434]~P73(x84341)+~P1(f313(f313(f223(x84341),x84343),f2(x84341)))+~P1(f313(f313(f223(x84341),f313(f313(f74(x84341),x84344),x84343)),x84342))+P1(f313(f313(f223(x84341),f313(f313(f277(x84341),x84342),x84343)),x84344))
% 119.46/119.26 [8446]~P1(f313(x84461,x84464))+~P1(f313(f313(f223(a883),x84462),f313(f313(f74(a883),x84463),f313(a103,x84464))))+P1(f313(x84461,f313(f313(f29(a883),x84462),x84463)))+~P1(f313(f313(f222(a883),f313(f313(f74(a883),x84463),x84464)),x84462))
% 119.46/119.26 [8656]~P4(x86561)+~P1(f313(f54(x86561),x86564))+~P1(f313(f313(f315(x86561),x86562),x86564))+P1(f313(f313(f222(x86561),f313(f313(f177(x86561),x86562),x86563)),f313(f313(f57(x86561,x86561,f177(x86561)),x86563),x86564)))
% 119.46/119.26 [8657]~P102(x86571)+~P1(f313(f54(x86571),x86574))+~P1(f313(f313(f315(x86571),x86572),x86574))+P1(f313(f313(f222(x86571),f313(f313(f92(x86571),x86572),x86573)),f313(f313(f57(x86571,x86571,f92(x86571)),x86573),x86574)))
% 119.46/119.26 [8793]~P1(f313(f54(x87931),x87932))+E(f313(f28(x87931),f313(f313(f3(f890(x87931,a881)),x87932),f313(f313(f295(x87931),x87933),x87934))),f313(f313(f3(a883),f313(f28(x87931),f313(f313(f3(f890(x87931,a881)),x87932),x87934))),f71(a883)))+P1(f313(f313(f315(x87931),x87933),x87934))+~P1(f313(f313(f315(x87931),x87933),x87932))
% 119.46/119.26 [8865]E(f313(f313(f73(a1),f877(x88651,x88652,x88653,x88654)),f878(x88651,x88652,x88653,x88654)),x88654)+~P1(f313(f313(f223(a1),f2(a1)),x88653))+~P1(f313(f313(f222(a1),x88654),x88651))+P1(f313(f313(f222(a1),f313(f313(f3(a1),x88654),x88653)),x88651))
% 119.46/119.26 [8866]E(f313(f313(f73(a1),f325(x88661,x88662,x88663,x88664)),f326(x88661,x88662,x88663,x88664)),x88664)+~P1(f313(f313(f223(a1),f2(a1)),x88663))+~P1(f313(f313(f223(a1),x88664),x88661))+P1(f313(f313(f223(a1),f313(f313(f3(a1),x88664),x88663)),x88661))
% 119.46/119.26 [9071]~P1(f313(f313(f223(a1),f2(a1)),x90713))+~P1(f313(f313(f222(a1),x90714),x90711))+P1(f313(f313(f315(a1),f877(x90711,x90712,x90713,x90714)),x90712))+P1(f313(f313(f222(a1),f313(f313(f3(a1),x90714),x90713)),x90711))
% 119.46/119.26 [9072]~P1(f313(f313(f223(a1),f2(a1)),x90723))+~P1(f313(f313(f223(a1),x90724),x90721))+P1(f313(f313(f315(a1),f325(x90721,x90722,x90723,x90724)),x90722))+P1(f313(f313(f223(a1),f313(f313(f3(a1),x90724),x90723)),x90721))
% 119.46/119.26 [9157]~P1(f313(f313(f223(a1),f2(a1)),x91572))+~P1(f313(f313(f222(a1),x91571),x91573))+P1(f313(f313(f315(a1),f878(x91573,x91574,x91572,x91571)),f289(a1,f71(a1),x91572)))+P1(f313(f313(f222(a1),f313(f313(f3(a1),x91571),x91572)),x91573))
% 119.46/119.26 [9158]~P1(f313(f313(f223(a1),f2(a1)),x91582))+~P1(f313(f313(f223(a1),x91581),x91583))+P1(f313(f313(f315(a1),f326(x91583,x91584,x91582,x91581)),f289(a1,f71(a1),x91582)))+P1(f313(f313(f223(a1),f313(f313(f3(a1),x91581),x91582)),x91583))
% 119.46/119.26 [9176]~P1(f313(f313(f222(a1),f2(a1)),x91764))+~P1(f313(f313(f223(a1),f2(a1)),x91763))+~P1(f313(f313(f223(a1),x91764),x91761))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f313(f313(f74(a1),x91761),f38(a1,x91762,x91763))),x91764)))
% 119.46/119.26 [9204]E(x92041,x92042)+~P38(x92043,x92044)+~P1(f313(f313(f315(f889(x92043,x92043)),f313(f313(f240(x92043,x92043),x92042),x92041)),x92044))+~P1(f313(f313(f315(f889(x92043,x92043)),f313(f313(f240(x92043,x92043),x92041),x92042)),x92044))
% 119.46/119.26 [9205]E(x92051,x92052)+~P38(x92053,x92054)+~P1(f313(f313(f315(f889(x92053,x92053)),f313(f313(f240(x92053,x92053),x92052),x92051)),x92054))+~P1(f313(f313(f315(f889(x92053,x92053)),f313(f313(f240(x92053,x92053),x92051),x92052)),x92054))
% 119.46/119.26 [9239]~P4(x92391)+~P1(f313(f54(x92391),x92394))+~P1(f313(f313(f222(x92391),x92392),f643(x92393,x92392,x92394,x92391)))+P1(f313(f313(f222(x92391),f313(f313(f227(x92391),x92392),x92393)),f313(f313(f57(x92391,x92391,f227(x92391)),x92393),x92394)))
% 119.46/119.26 [9240]~P108(x92401)+~P1(f313(f54(x92401),x92404))+~P1(f313(f313(f222(x92401),x92402),f646(x92403,x92402,x92404,x92401)))+P1(f313(f313(f222(x92401),f313(f313(f93(x92401),x92402),x92403)),f313(f313(f57(x92401,x92401,f93(x92401)),x92403),x92404)))
% 119.46/119.26 [9256]~P1(f313(f313(f222(a1),x92564),f2(a1)))+~P1(f313(f313(f223(a1),f2(a1)),x92562))+~P1(f313(f313(f223(a1),x92561),x92564))+P1(f313(f313(f223(a1),f313(f313(f74(a1),x92561),x92562)),f313(f313(f73(a1),f313(f313(f74(a1),x92561),f38(a1,x92563,x92562))),x92564)))
% 119.46/119.26 [9278]P1(f313(f54(x92781),x92782))+~P1(f313(f54(x92781),x92783))+~P1(f313(f313(f315(f890(x92781,a881)),x92782),f313(f313(f53(x92781),x92783),x92784)))+~P1(f313(f313(f222(f890(f889(x92781,x92781),a881)),x92784),f313(f313(f242(x92781,x92781),x92783),f313(f18(f890(x92781,a881),x92781),x92783))))
% 119.46/119.26 [9303]~P4(x93031)+~P1(f313(f54(x93031),x93034))+P1(f313(f313(f315(x93031),f643(x93032,x93033,x93034,x93031)),x93034))+P1(f313(f313(f222(x93031),f313(f313(f227(x93031),x93033),x93032)),f313(f313(f57(x93031,x93031,f227(x93031)),x93032),x93034)))
% 119.46/119.26 [9304]~P108(x93041)+~P1(f313(f54(x93041),x93044))+P1(f313(f313(f315(x93041),f646(x93042,x93043,x93044,x93041)),x93044))+P1(f313(f313(f222(x93041),f313(f313(f93(x93041),x93043),x93042)),f313(f313(f57(x93041,x93041,f93(x93041)),x93042),x93044)))
% 119.46/119.26 [9317]~P39(f890(x93171,a881),f890(x93171,a881),x93173)+~P1(f313(f313(f315(x93171),x93172),x93174))+P1(f313(f313(f315(x93171),x93172),f87(f890(x93171,a881),x93173)))+~P1(f313(f313(f222(f890(x93171,a881)),x93174),f313(x93173,f313(f313(f92(f890(x93171,a881)),x93174),f87(f890(x93171,a881),x93173)))))
% 119.46/119.26 [9495]~P39(f890(x94953,a881),f890(x94953,a881),x94954)+P1(f313(x94951,x94952))+~P1(f313(f313(f315(x94953),x94952),f86(f890(x94953,a881),x94954)))+P1(f313(f313(f315(x94953),f543(x94951,x94954,x94952,x94953)),f313(x94954,f313(f313(f93(f890(x94953,a881)),f86(f890(x94953,a881),x94954)),f313(f250(x94953),x94951)))))
% 119.46/119.26 [9710]~P1(f313(f54(x97102),x97104))+~P1(f313(f54(x97101),x97103))+~P1(f313(f313(f222(a883),f313(f28(x97102),x97104)),f313(f28(x97101),x97103)))+P1(f313(f313(f222(f890(x97101,a881)),f313(f296(x97102,x97101,f480(x97103,x97101,x97104,x97102)),x97104)),x97103))
% 119.46/119.26 [9352]~P1(f313(f313(f315(x93521),x93522),x93524))+P1(f313(f313(f315(x93521),x93522),x93523))+~P1(f313(f313(f223(f890(x93521,a881)),x93524),f313(f313(f295(x93521),x93522),x93523)))+P1(f313(f313(f223(f890(x93521,a881)),f313(f313(f3(f890(x93521,a881)),x93524),f313(f313(f295(x93521),x93522),f178(f890(x93521,a881))))),x93523))
% 119.46/119.26 [9527]~P1(f313(f313(f315(x95271),x95272),x95274))+P1(f313(f313(f315(x95271),x95272),x95273))+P1(f313(f313(f223(f890(x95271,a881)),x95274),f313(f313(f295(x95271),x95272),x95273)))+~P1(f313(f313(f223(f890(x95271,a881)),f313(f313(f3(f890(x95271,a881)),x95274),f313(f313(f295(x95271),x95272),f178(f890(x95271,a881))))),x95273))
% 119.46/119.26 [9551]P1(f313(f313(f315(x95511),x95512),x95513))+~P1(f313(f313(f222(f890(x95511,a881)),x95514),x95513))+P1(f313(f313(f223(f890(x95511,a881)),x95514),f313(f313(f295(x95511),x95512),x95513)))+~P1(f313(f313(f223(f890(x95511,a881)),f313(f313(f3(f890(x95511,a881)),x95514),f313(f313(f295(x95511),x95512),f178(f890(x95511,a881))))),x95513))
% 119.46/119.26 [9556]~P1(f313(f313(f315(x95561),x95563),x95562))+~P1(f313(f313(f223(f890(x95561,a881)),x95562),x95564))+P1(f313(f313(f223(f890(x95561,a881)),x95562),f313(f313(f295(x95561),x95563),x95564)))+~P1(f313(f313(f223(f890(x95561,a881)),f313(f313(f3(f890(x95561,a881)),x95562),f313(f313(f295(x95561),x95563),f178(f890(x95561,a881))))),x95564))
% 119.46/119.26 [9569]~P1(f313(f313(f222(f890(x95691,a881)),x95692),x95694))+~P1(f313(f313(f223(f890(x95691,a881)),x95692),x95694))+P1(f313(f313(f223(f890(x95691,a881)),x95692),f313(f313(f295(x95691),x95693),x95694)))+~P1(f313(f313(f223(f890(x95691,a881)),f313(f313(f3(f890(x95691,a881)),x95692),f313(f313(f295(x95691),x95693),f178(f890(x95691,a881))))),x95694))
% 119.46/119.26 [9612]~P3(x96122)+~P69(x96121)+~P1(f313(f313(f222(f890(x96121,x96122)),x96123),x96124))+P1(f313(f50(x96121),f313(f313(f20(x96121,x96122,a881),f313(f313(f10(x96122,f890(x96122,a881),x96121),f222(x96122)),x96123)),x96124)))
% 119.46/119.26 [9758]~P3(x97582)+~P69(x97581)+P1(f313(f313(f222(f890(x97581,x97582)),x97583),x97584))+~P1(f313(f50(x97581),f313(f313(f20(x97581,x97582,a881),f313(f313(f10(x97582,f890(x97582,a881),x97581),f222(x97582)),x97583)),x97584)))
% 119.46/119.26 [10262]~P39(f890(x102621,a881),f890(x102621,a881),x102623)+~P1(f313(f313(f315(x102621),x102622),x102624))+P1(f313(f313(f315(x102621),x102622),f87(f890(x102621,a881),x102623)))+~P1(f313(f313(f222(f890(x102621,a881)),x102624),f313(x102623,f86(f890(x102621,a881),f313(f313(f9(f890(x102621,a881),f890(x102621,a881),f890(x102621,a881)),f313(f313(f10(f890(x102621,a881),f890(f890(x102621,a881),f890(x102621,a881)),f890(x102621,a881)),f92(f890(x102621,a881))),f313(f313(f9(f890(x102621,a881),f890(x102621,a881),f890(x102621,a881)),f313(f313(f10(f890(x102621,a881),f890(f890(x102621,a881),f890(x102621,a881)),f890(x102621,a881)),f92(f890(x102621,a881))),x102623)),x102624))),f87(f890(x102621,a881),x102623))))))
% 119.46/119.26 [9929]E(f313(f313(f152(x99291),f313(f313(f152(f885(x99291)),f167(x99291,x99292)),x99293)),x99294),f313(f313(f152(x99291),f313(f313(f152(f885(x99291)),x99292),x99294)),x99293))+~P1(f313(f313(f223(a883),x99293),f313(f179(f885(f885(x99291))),f167(x99291,x99292))))+~P13(a883,f313(f156(a883),f313(f313(f142(f885(x99291),a883),f179(f885(x99291))),x99292)))+~P1(f313(f313(f223(a883),x99294),f313(f179(f885(f885(x99291))),f313(f124(f885(x99291),f313(f313(f10(a883,a881,f885(x99291)),f313(f223(a883),x99293)),f179(f885(x99291)))),x99292))))
% 119.46/119.26 [9950]~P1(f313(f313(f315(f889(a883,a883)),x99504),x99501))+~P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),x99504),x99502)),a26))+~P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x99501),x99503)),a62))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x99501),f313(f313(f295(f889(a883,a883)),x99502),x99503))),a62))
% 119.46/119.26 [9951]~P1(f313(f313(f315(f889(a883,a883)),x99514),x99511))+~P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),x99514),x99512)),a64))+~P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x99511),x99513)),a65))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x99511),f313(f313(f295(f889(a883,a883)),x99512),x99513))),a65))
% 119.46/119.26 [9846]~P3(x98462)+~P69(x98461)+~P1(f313(f313(f223(f890(x98461,x98462)),x98463),x98464))+P1(f313(f49(x98461),f313(f313(f10(a881,a881,x98461),a308),f313(f313(f20(x98461,x98462,a881),f313(f313(f10(x98462,f890(x98462,a881),x98461),a310),x98463)),x98464))))
% 119.46/119.26 [9962]~P1(f313(f313(f315(f889(a883,a883)),x99624),x99623))+~P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),x99621),x99624)),a26))+~P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x99622),x99623)),a27))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),f313(f313(f295(f889(a883,a883)),x99621),x99622)),x99623)),a27))
% 119.46/119.26 [9963]~P1(f313(f313(f315(f889(a883,a883)),x99634),x99633))+~P1(f313(f313(f315(f889(f889(a883,a883),f889(a883,a883))),f313(f313(f240(f889(a883,a883),f889(a883,a883)),x99631),x99634)),a64))+~P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),x99632),x99633)),a63))+P1(f313(f313(f315(f889(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881))),f313(f313(f240(f890(f889(a883,a883),a881),f890(f889(a883,a883),a881)),f313(f313(f295(f889(a883,a883)),x99631),x99632)),x99633)),a63))
% 119.46/119.26 [6032]~P7(x60324,x60321)+~P1(f313(f313(x60321,x60322),x60325))+P1(f313(f313(x60321,x60322),x60323))+~P1(f313(f313(x60321,x60325),x60323))
% 119.46/119.26 [6033]~P52(x60334,x60331)+~P1(f313(f313(x60331,x60332),x60335))+P1(f313(f313(x60331,x60332),x60333))+~P1(f313(f313(x60331,x60335),x60333))
% 119.46/119.26 [6034]~P15(x60344,x60341)+~P1(f313(f313(x60341,x60342),x60345))+P1(f313(f313(x60341,x60342),x60343))+~P1(f313(f313(x60341,x60345),x60343))
% 119.46/119.26 [9601]~P37(x96011,x96014)+P1(f313(f313(f315(f889(f885(x96011),f885(x96011))),f313(f313(f240(f885(x96011),f885(x96011)),x96012),x96013)),f135(x96011,x96014)))+~P1(f313(f313(f315(f889(f885(x96011),f885(x96011))),f313(f313(f240(f885(x96011),f885(x96011)),x96012),x96015)),f135(x96011,x96014)))+~P1(f313(f313(f315(f889(f885(x96011),f885(x96011))),f313(f313(f240(f885(x96011),f885(x96011)),x96015),x96013)),f135(x96011,x96014)))
% 119.46/119.26 [5254]~P65(x52545)+E(x52541,x52542)+~E(x52543,x52544)+~E(f313(f313(f3(x52545),x52543),x52544),f313(f313(f3(x52545),x52541),x52542))
% 119.46/119.26 [5255]~P65(x52555)+E(x52551,x52552)+~E(x52553,x52554)+~E(f313(f313(f3(x52555),x52553),x52554),f313(f313(f3(x52555),x52551),x52552))
% 119.46/119.26 [6149]~P17(x61495,x61491,x61493)+E(f313(f313(x61491,x61492),f313(x61493,x61494)),f313(x61493,x61494))+~P1(f313(f54(x61495),x61494))+~P1(f313(f313(f315(x61495),x61492),x61494))
% 119.46/119.26 [6351]~P87(x63511)+~E(f313(f313(f3(x63511),x63514),x63515),f313(f313(f3(x63511),x63512),x63513))+~P1(f313(f313(f222(x63511),x63514),x63515))+P1(f313(f313(f222(x63511),x63512),x63513))
% 119.46/119.26 [6352]~P87(x63521)+~E(f313(f313(f3(x63521),x63524),x63525),f313(f313(f3(x63521),x63522),x63523))+~P1(f313(f313(f222(x63521),x63524),x63525))+P1(f313(f313(f222(x63521),x63522),x63523))
% 119.46/119.26 [6353]~P87(x63531)+~E(f313(f313(f3(x63531),x63534),x63535),f313(f313(f3(x63531),x63532),x63533))+~P1(f313(f313(f223(x63531),x63534),x63535))+P1(f313(f313(f223(x63531),x63532),x63533))
% 119.46/119.26 [6354]~P87(x63541)+~E(f313(f313(f3(x63541),x63544),x63545),f313(f313(f3(x63541),x63542),x63543))+~P1(f313(f313(f223(x63541),x63544),x63545))+P1(f313(f313(f223(x63541),x63542),x63543))
% 119.46/119.26 [7376]~E(x73762,f313(f313(f139(x73761),x73764),x73765))+P1(f313(f313(f315(f885(x73761)),x73762),f149(x73761,x73763)))+~P1(f313(f313(f315(f885(x73761)),x73765),f149(x73761,x73763)))+~P1(f313(f313(f315(x73761),x73764),x73763))
% 119.46/119.26 [7790]~E(f313(f179(f885(x77901)),x77903),f313(f179(f885(x77902)),x77904))+~E(f313(f313(f142(f889(x77901,x77902),x77902),f244(x77901,x77902)),x77905),x77904)+~E(f313(f313(f142(f889(x77901,x77902),x77901),f239(x77901,x77902)),x77905),x77903)+E(f313(f313(f169(x77901,x77902),x77903),x77904),x77905)
% 119.46/119.26 [8123]~P3(x81231)+P1(f313(f313(f223(f890(x81231,a881)),f289(x81231,x81232,x81233)),f289(x81231,x81234,x81235)))+~P1(f313(f313(f222(x81231),x81234),x81235))+P1(f313(f313(f222(x81231),x81232),x81233))
% 119.46/119.26 [8223]~P3(x82231)+P1(f313(f313(f222(f890(x82231,a881)),f289(x82231,x82232,x82233)),f289(x82231,x82234,x82235)))+~P1(f313(f313(f222(x82231),x82233),x82235))+~P1(f313(f313(f222(x82231),x82234),x82232))
% 119.46/119.26 [8341]~P4(x83411)+P1(f313(f313(f222(x83411),x83412),x83413))+P1(f313(f313(f222(x83411),x83414),x83413))+~P1(f313(f313(f222(f890(x83411,a881)),f313(f288(x83411,x83413),x83412)),f313(f288(x83411,x83414),x83415)))
% 119.46/119.26 [8342]~P4(x83421)+P1(f313(f313(f222(x83421),x83422),x83423))+P1(f313(f313(f222(x83421),x83422),x83424))+~P1(f313(f313(f222(f890(x83421,a881)),f313(f288(x83421,x83423),x83422)),f313(f288(x83421,x83425),x83424)))
% 119.46/119.26 [8508]~P4(x85083)+~P108(x85081)+~P39(x85083,x85081,x85082)+P1(f313(f313(f222(x85081),f313(x85082,f313(f313(f227(x85083),x85084),x85085))),f313(f313(f93(x85081),f313(x85082,x85084)),f313(x85082,x85085))))
% 119.46/119.26 [8509]~P108(x85093)+~P108(x85091)+~P39(x85093,x85091,x85092)+P1(f313(f313(f222(x85091),f313(x85092,f313(f313(f93(x85093),x85094),x85095))),f313(f313(f93(x85091),f313(x85092,x85094)),f313(x85092,x85095))))
% 119.46/119.26 [8576]~P3(x85761)+~P1(f313(f313(f222(f890(x85761,a881)),f289(x85761,x85764,x85762)),f289(x85761,x85765,x85763)))+P1(f313(f313(f222(x85761),x85762),x85763))+~P1(f313(f313(f222(x85761),x85764),x85762))
% 119.46/119.26 [8577]~P3(x85771)+~P1(f313(f313(f223(f890(x85771,a881)),f289(x85771,x85774,x85772)),f289(x85771,x85775,x85773)))+P1(f313(f313(f222(x85771),x85772),x85773))+~P1(f313(f313(f222(x85771),x85774),x85772))
% 119.46/119.26 [8578]~P3(x85781)+~P1(f313(f313(f222(f890(x85781,a881)),f289(x85781,x85783,x85784)),f289(x85781,x85782,x85785)))+P1(f313(f313(f222(x85781),x85782),x85783))+~P1(f313(f313(f222(x85781),x85783),x85784))
% 119.46/119.26 [8579]~P3(x85791)+~P1(f313(f313(f223(f890(x85791,a881)),f289(x85791,x85793,x85794)),f289(x85791,x85792,x85795)))+P1(f313(f313(f222(x85791),x85792),x85793))+~P1(f313(f313(f222(x85791),x85793),x85794))
% 119.46/119.26 [5977]~P4(x59775)+~P4(x59771)+~P39(x59775,x59771,x59772)+E(f313(f313(f227(x59771),f313(x59772,x59773)),f313(x59772,x59774)),f313(x59772,f313(f313(f227(x59775),x59773),x59774)))
% 119.46/119.26 [5978]~P4(x59785)+~P4(x59781)+~P39(x59785,x59781,x59782)+E(f313(f313(f177(x59781),f313(x59782,x59783)),f313(x59782,x59784)),f313(x59782,f313(f313(f177(x59785),x59783),x59784)))
% 119.46/119.26 [6031]~P17(x60312,x60315,x60313)+E(x60311,f178(f890(x60312,a881)))+~P1(f313(f54(x60312),x60311))+E(f313(x60313,f313(f313(f295(x60312),x60314),x60311)),f313(f313(x60315,x60314),f313(x60313,x60311)))
% 119.46/119.26 [6854]~E(x68541,x68542)+~E(f313(f313(f93(f890(x68543,a881)),x68544),x68545),f178(f890(x68543,a881)))+~P1(f313(f313(f315(x68543),x68542),x68545))+~P1(f313(f313(f315(x68543),x68541),x68544))
% 119.46/119.26 [6941]~P18(x69412,x69415,x69411)+~P1(f313(f54(x69412),x69414))+E(f313(x69411,f313(f313(f295(x69412),x69413),x69414)),f313(f313(f57(x69412,x69412,x69415),x69413),x69414))+P1(f313(f313(f315(x69412),x69413),x69414))
% 119.46/119.26 [7012]~P79(x70122)+~P1(f313(f54(x70121),x70125))+E(f313(f313(f8(x70121,x70122),x70123),f313(f313(f295(x70121),x70124),x70125)),f313(f313(f73(x70122),f313(x70123,x70124)),f313(f313(f8(x70121,x70122),x70123),x70125)))+P1(f313(f313(f315(x70121),x70124),x70125))
% 119.46/119.26 [7013]~P79(x70132)+~P1(f313(f54(x70131),x70135))+E(f313(f313(f8(x70131,x70132),x70133),f313(f313(f295(x70131),x70134),x70135)),f313(f313(f73(x70132),f313(x70133,x70134)),f313(f313(f8(x70131,x70132),x70133),x70135)))+P1(f313(f313(f315(x70131),x70134),x70135))
% 119.46/119.26 [7014]~P75(x70142)+~P1(f313(f54(x70141),x70145))+E(f313(f313(f11(x70141,x70142),x70143),f313(f313(f295(x70141),x70144),x70145)),f313(f313(f74(x70142),f313(x70143,x70144)),f313(f313(f11(x70141,x70142),x70143),x70145)))+P1(f313(f313(f315(x70141),x70144),x70145))
% 119.46/119.26 [7015]~P75(x70152)+~P1(f313(f54(x70151),x70155))+E(f313(f313(f11(x70151,x70152),x70153),f313(f313(f295(x70151),x70154),x70155)),f313(f313(f74(x70152),f313(x70153,x70154)),f313(f313(f11(x70151,x70152),x70153),x70155)))+P1(f313(f313(f315(x70151),x70154),x70155))
% 119.46/119.26 [7426]~P120(x74261)+~P1(f313(f54(x74264),x74265))+~P1(f313(f313(f315(x74264),x74263),x74265))+P1(f313(f313(f273(x74261),f313(x74262,x74263)),f313(f313(f11(x74264,x74261),x74262),x74265)))
% 119.46/119.26 [7527]~P18(x75272,x75275,x75271)+~P1(f313(f54(x75272),x75274))+E(f313(x75271,f313(f313(f295(x75272),x75273),x75274)),x75273)+~E(f313(f313(f3(f890(x75272,a881)),x75274),f313(f313(f295(x75272),x75273),f178(f890(x75272,a881)))),f178(f890(x75272,a881)))
% 119.46/119.26 [7862]~P120(x78621)+~P1(f313(f313(f273(x78621),x78622),x78624))+~P1(f313(f313(f222(a883),x78623),x78625))+P1(f313(f313(f273(x78621),f313(f313(f232(x78621),x78622),x78623)),f313(f313(f232(x78621),x78624),x78625)))
% 119.46/119.26 [7890]~P66(x78901)+E(f313(f313(f29(x78901),f313(f313(f74(x78901),x78902),x78903)),f313(f313(f74(x78901),x78904),x78905)),f313(f313(f74(x78901),f313(f313(f29(x78901),x78902),x78904)),f313(f313(f29(x78901),x78903),x78905)))+~P1(f313(f313(f273(x78901),x78905),x78903))+~P1(f313(f313(f273(x78901),x78904),x78902))
% 119.46/119.26 [7894]~P89(x78941)+~P1(f313(f313(f222(x78941),x78943),x78945))+~P1(f313(f313(f222(x78941),x78942),x78944))+P1(f313(f313(f222(x78941),f313(f313(f73(x78941),x78942),x78943)),f313(f313(f73(x78941),x78944),x78945)))
% 119.46/119.26 [7895]~P4(x78951)+~P1(f313(f313(f222(x78951),x78953),x78955))+~P1(f313(f313(f222(x78951),x78952),x78954))+P1(f313(f313(f222(x78951),f313(f313(f227(x78951),x78952),x78953)),f313(f313(f227(x78951),x78954),x78955)))
% 119.46/119.26 [7896]~P4(x78961)+~P1(f313(f313(f222(x78961),x78963),x78965))+~P1(f313(f313(f222(x78961),x78962),x78964))+P1(f313(f313(f222(x78961),f313(f313(f177(x78961),x78962),x78963)),f313(f313(f177(x78961),x78964),x78965)))
% 119.46/119.26 [7897]~P102(x78971)+~P1(f313(f313(f222(x78971),x78973),x78975))+~P1(f313(f313(f222(x78971),x78972),x78974))+P1(f313(f313(f222(x78971),f313(f313(f92(x78971),x78972),x78973)),f313(f313(f92(x78971),x78974),x78975)))
% 119.46/119.26 [7898]~P108(x78981)+~P1(f313(f313(f222(x78981),x78983),x78985))+~P1(f313(f313(f222(x78981),x78982),x78984))+P1(f313(f313(f222(x78981),f313(f313(f93(x78981),x78982),x78983)),f313(f313(f93(x78981),x78984),x78985)))
% 119.46/119.26 [7899]~P91(x78991)+~P1(f313(f313(f222(x78991),x78993),x78995))+~P1(f313(f313(f223(x78991),x78992),x78994))+P1(f313(f313(f223(x78991),f313(f313(f73(x78991),x78992),x78993)),f313(f313(f73(x78991),x78994),x78995)))
% 119.46/119.26 [7900]~P91(x79001)+~P1(f313(f313(f222(x79001),x79002),x79004))+~P1(f313(f313(f223(x79001),x79003),x79005))+P1(f313(f313(f223(x79001),f313(f313(f73(x79001),x79002),x79003)),f313(f313(f73(x79001),x79004),x79005)))
% 119.46/119.26 [7901]~P91(x79011)+~P1(f313(f313(f223(x79011),x79013),x79015))+~P1(f313(f313(f223(x79011),x79012),x79014))+P1(f313(f313(f223(x79011),f313(f313(f73(x79011),x79012),x79013)),f313(f313(f73(x79011),x79014),x79015)))
% 119.46/119.26 [7902]~P120(x79021)+~P1(f313(f313(f273(x79021),x79023),x79025))+~P1(f313(f313(f273(x79021),x79022),x79024))+P1(f313(f313(f273(x79021),f313(f313(f74(x79021),x79022),x79023)),f313(f313(f74(x79021),x79024),x79025)))
% 119.46/119.26 [8038]~P149(x80385)+E(x80381,x80382)+E(x80383,x80384)+~E(f313(f313(f73(x80385),f313(f313(f74(x80385),x80383),x80381)),f313(f313(f74(x80385),x80384),x80382)),f313(f313(f73(x80385),f313(f313(f74(x80385),x80383),x80382)),f313(f313(f74(x80385),x80384),x80381)))
% 119.46/119.26 [8039]~P149(x80395)+E(x80391,x80392)+E(x80393,x80394)+~E(f313(f313(f73(x80395),f313(f313(f74(x80395),x80393),x80391)),f313(f313(f74(x80395),x80394),x80392)),f313(f313(f73(x80395),f313(f313(f74(x80395),x80393),x80392)),f313(f313(f74(x80395),x80394),x80391)))
% 119.46/119.26 [8174]P26(x81741,x81742,x81743)+~P27(x81741,x81744,x81745)+~P26(x81741,x81742,f540(x81745,x81744,x81741,x81742))+~P1(f313(f313(f315(f882(x81741)),x81743),x81745))
% 119.46/119.26 [8243]~P4(x82434)+~P1(f313(f125(x82431),x82433))+P1(f313(f313(f315(x82431),x82432),f313(f160(x82431),x82433)))+P1(f313(f125(x82431),f313(f313(f136(x82431,x82434,x82435),x82432),x82433)))
% 119.46/119.26 [8387]~P79(x83871)+E(f313(f313(f73(x83871),f313(f313(f8(a883,x83871),x83872),f313(f288(a883,x83873),x83874))),f313(f313(f8(a883,x83871),x83872),f313(f288(a883,x83874),x83875))),f313(f313(f8(a883,x83871),x83872),f313(f288(a883,x83873),x83875)))+~P1(f313(f313(f222(a883),x83874),x83875))+~P1(f313(f313(f222(a883),x83873),x83874))
% 119.46/119.26 [8388]~P65(x83881)+E(f313(f313(f3(x83881),f313(f313(f8(a883,x83881),x83882),f313(f288(a883,x83883),x83884))),f313(f313(f8(a883,x83881),x83882),f313(f288(a883,x83883),x83885))),f313(f313(f8(a883,x83881),x83882),f313(f288(a883,x83885),x83884)))+~P1(f313(f313(f222(a883),x83885),x83884))+~P1(f313(f313(f222(a883),x83883),x83885))
% 119.46/119.26 [8711]~P71(x87112)+E(x87111,f2(x87112))+E(x87113,f2(x87112))+E(f313(f313(f277(x87112),f313(f313(f73(x87112),f313(f313(f74(x87112),x87114),x87111)),f313(f313(f74(x87112),x87115),x87113))),f313(f313(f74(x87112),x87113),x87111)),f313(f313(f73(x87112),f313(f313(f277(x87112),x87114),x87113)),f313(f313(f277(x87112),x87115),x87111)))
% 119.46/119.26 [8712]~P71(x87122)+E(x87121,f2(x87122))+E(x87123,f2(x87122))+E(f313(f313(f277(x87122),f313(f313(f3(x87122),f313(f313(f74(x87122),x87124),x87121)),f313(f313(f74(x87122),x87125),x87123))),f313(f313(f74(x87122),x87123),x87121)),f313(f313(f3(x87122),f313(f313(f277(x87122),x87124),x87123)),f313(f313(f277(x87122),x87125),x87121)))
% 119.46/119.26 [8720]~E(x87202,f313(x87203,x87201))+E(x87201,f491(x87202,x87203,x87204,x87205))+~P24(x87205,x87204,x87203,f230(f890(x87205,a881)))+~P1(f313(f313(f315(x87204),x87202),f313(f296(x87205,x87204,x87203),f230(f890(x87205,a881)))))
% 119.46/119.26 [8920]~P115(x89201)+~P1(f313(f313(f223(x89201),f313(f69(x89201),x89202)),x89204))+P1(f313(f313(f223(x89201),f313(f313(f74(x89201),f313(f69(x89201),x89202)),f313(f69(x89201),x89203))),f313(f313(f74(x89201),x89204),x89205)))+~P1(f313(f313(f223(x89201),f313(f69(x89201),x89203)),x89205))
% 119.46/119.26 [8939]~P27(x89391,x89395,x89394)+P26(x89391,x89392,x89393)+P1(f313(f313(f315(f882(x89391)),f540(x89394,x89395,x89391,x89392)),x89395))+~P1(f313(f313(f315(f882(x89391)),x89393),x89394))
% 119.46/119.26 [9031]~P24(x90311,x90313,x90315,x90312)+~P1(f313(f54(x90313),x90314))+P1(f313(f313(f222(a883),f313(f28(x90311),x90312)),f313(f28(x90313),x90314)))+~P1(f313(f313(f222(f890(x90313,a881)),f313(f296(x90311,x90313,x90315),x90312)),x90314))
% 119.46/119.26 [9100]~P79(x91002)+~P24(x91001,x91001,x91004,x91005)+~P1(f313(f54(x91001),x91005))+E(f313(f313(f8(x91001,x91002),f313(f66(x91001,x91002,x91001,x91003),x91004)),x91005),f313(f313(f8(x91001,x91002),x91003),f313(f296(x91001,x91001,x91004),x91005)))
% 119.46/119.26 [9101]~P75(x91012)+~P24(x91011,x91011,x91014,x91015)+~P1(f313(f54(x91011),x91015))+E(f313(f313(f11(x91011,x91012),f313(f66(x91011,x91012,x91011,x91013),x91014)),x91015),f313(f313(f11(x91011,x91012),x91013),f313(f296(x91011,x91011,x91014),x91015)))
% 119.46/119.26 [9180]~E(f492(x91802,x91804,x91801,x91803,x91805),x91805)+~E(x91802,f313(x91804,x91805))+~P24(x91803,x91801,x91804,f230(f890(x91803,a881)))+P1(f313(f313(f315(x91801),x91802),f313(f296(x91803,x91801,x91804),f230(f890(x91803,a881)))))
% 119.46/119.26 [9218]~P36(x92181,x92182)+~P1(f313(f313(f315(x92181),x92183),x92184))+~P1(f313(f313(f315(x92181),x92185),x92184))+~P1(f313(f313(f315(f889(x92181,x92181)),f313(f313(f240(x92181,x92181),x92185),f641(x92182,x92181,x92184))),x92182))
% 119.46/119.26 [9255]~P24(x92552,x92553,x92555,x92551)+E(x92551,f178(f890(x92552,a881)))+E(f313(f296(x92553,x92552,f481(x92554,x92553,x92552,x92551)),x92554),x92551)+~P1(f313(f313(f222(f890(x92553,a881)),f313(f296(x92552,x92553,x92555),x92551)),x92554))
% 119.46/119.26 [9293]~E(x92932,f313(x92931,x92935))+~P24(x92934,x92933,x92931,f230(f890(x92934,a881)))+E(f313(x92931,f492(x92932,x92931,x92933,x92934,x92935)),x92932)+P1(f313(f313(f315(x92933),x92932),f313(f296(x92934,x92933,x92931),f230(f890(x92934,a881)))))
% 119.46/119.26 [9739]~P4(x97395)+~P5(x97395)+P1(f313(f313(f315(x97391),f358(x97392,x97393,x97391,x97394,x97395)),x97393))+~P1(f313(f313(f223(x97395),x97394),f313(f313(f33(x97391,x97395),x97393),x97392)))
% 119.46/119.26 [9744]~P4(x97441)+~P5(x97441)+P1(f313(f313(f223(x97441),x97442),f313(x97443,f358(x97443,x97444,x97445,x97442,x97441))))+~P1(f313(f313(f223(x97441),x97442),f313(f313(f33(x97445,x97441),x97444),x97443)))
% 119.46/119.26 [9828]~P64(x98281)+~P1(f313(f59(x98281,x98281,f74(x98281),x98282,x98283),x98285))+P1(f313(f313(f315(x98281),x98282),x98283))+P1(f313(f59(x98281,x98281,f74(x98281),x98284,f313(f313(f295(x98281),x98282),x98283)),f313(f313(f74(x98281),x98284),x98285)))
% 119.46/119.26 [10043]~P79(x100432)+~P1(f313(f54(x100431),x100435))+E(f313(f313(f8(x100431,x100432),f313(f313(f9(x100431,x100432,x100432),f313(f313(f20(x100431,x100432,f890(x100432,x100432)),f313(f313(f10(a881,f890(x100432,f890(x100432,x100432)),x100431),f84(x100432)),f313(a310,x100433))),x100434)),f2(x100432))),x100435),f2(x100432))+P1(f313(f313(f315(x100431),x100433),x100435))
% 119.46/119.26 [10044]~P75(x100442)+~P1(f313(f54(x100441),x100445))+E(f313(f313(f11(x100441,x100442),f313(f313(f9(x100441,x100442,x100442),f313(f313(f20(x100441,x100442,f890(x100442,x100442)),f313(f313(f10(a881,f890(x100442,f890(x100442,x100442)),x100441),f84(x100442)),f313(a310,x100443))),x100444)),f71(x100442))),x100445),f71(x100442))+P1(f313(f313(f315(x100441),x100443),x100445))
% 119.46/119.26 [10045]~P79(x100452)+~P1(f313(f54(x100451),x100455))+E(f313(f313(f8(x100451,x100452),f313(f313(f9(x100451,x100452,x100452),f313(f313(f20(x100451,x100452,f890(x100452,x100452)),f313(f313(f10(a881,f890(x100452,f890(x100452,x100452)),x100451),f84(x100452)),f313(a310,x100453))),x100454)),f2(x100452))),x100455),f313(x100454,x100453))+~P1(f313(f313(f315(x100451),x100453),x100455))
% 119.46/119.26 [10046]~P75(x100462)+~P1(f313(f54(x100461),x100465))+E(f313(f313(f11(x100461,x100462),f313(f313(f9(x100461,x100462,x100462),f313(f313(f20(x100461,x100462,f890(x100462,x100462)),f313(f313(f10(a881,f890(x100462,f890(x100462,x100462)),x100461),f84(x100462)),f313(a310,x100463))),x100464)),f71(x100462))),x100465),f313(x100464,x100463))+~P1(f313(f313(f315(x100461),x100463),x100465))
% 119.46/119.26 [10106]~P79(x101062)+~P1(f313(f54(x101061),x101065))+E(f313(f313(f8(x101061,x101062),f313(f313(f9(x101061,x101062,x101062),f313(f313(f20(x101061,x101062,f890(x101062,x101062)),f313(f313(f10(a881,f890(x101062,f890(x101062,x101062)),x101061),f84(x101062)),f313(f313(f9(x101061,x101061,a881),a310),x101063))),x101064)),f2(x101062))),x101065),f2(x101062))+P1(f313(f313(f315(x101061),x101063),x101065))
% 119.46/119.26 [10107]~P75(x101072)+~P1(f313(f54(x101071),x101075))+E(f313(f313(f11(x101071,x101072),f313(f313(f9(x101071,x101072,x101072),f313(f313(f20(x101071,x101072,f890(x101072,x101072)),f313(f313(f10(a881,f890(x101072,f890(x101072,x101072)),x101071),f84(x101072)),f313(f313(f9(x101071,x101071,a881),a310),x101073))),x101074)),f71(x101072))),x101075),f71(x101072))+P1(f313(f313(f315(x101071),x101073),x101075))
% 119.46/119.26 [10109]~P79(x101092)+~P1(f313(f54(x101091),x101095))+E(f313(f313(f8(x101091,x101092),f313(f313(f9(x101091,x101092,x101092),f313(f313(f20(x101091,x101092,f890(x101092,x101092)),f313(f313(f10(a881,f890(x101092,f890(x101092,x101092)),x101091),f84(x101092)),f313(f313(f9(x101091,x101091,a881),a310),x101093))),x101094)),f2(x101092))),x101095),f313(x101094,x101093))+~P1(f313(f313(f315(x101091),x101093),x101095))
% 119.46/119.26 [10110]~P75(x101102)+~P1(f313(f54(x101101),x101105))+E(f313(f313(f11(x101101,x101102),f313(f313(f9(x101101,x101102,x101102),f313(f313(f20(x101101,x101102,f890(x101102,x101102)),f313(f313(f10(a881,f890(x101102,f890(x101102,x101102)),x101101),f84(x101102)),f313(f313(f9(x101101,x101101,a881),a310),x101103))),x101104)),f71(x101102))),x101105),f313(x101104,x101103))+~P1(f313(f313(f315(x101101),x101103),x101105))
% 119.46/119.26 [7893]~P65(x78932)+~P1(f313(f54(x78931),x78934))+E(f313(f313(f8(x78931,x78932),x78933),f313(f313(f3(f890(x78931,a881)),x78934),f313(f313(f295(x78931),x78935),f178(f890(x78931,a881))))),f313(f313(f8(x78931,x78932),x78933),x78934))+P1(f313(f313(f315(x78931),x78935),x78934))
% 119.46/119.26 [8394]~P145(x83942)+~P1(f313(f54(x83941),x83944))+E(f313(f313(f8(x83941,x83942),x83943),f313(f313(f3(f890(x83941,a881)),x83944),f313(f313(f295(x83941),x83945),f178(f890(x83941,a881))))),f313(f313(f3(x83942),f313(f313(f8(x83941,x83942),x83943),x83944)),f313(x83943,x83945)))+~P1(f313(f313(f315(x83941),x83945),x83944))
% 119.46/119.26 [8395]~P65(x83952)+~P1(f313(f54(x83951),x83954))+E(f313(f313(f8(x83951,x83952),x83953),f313(f313(f3(f890(x83951,a881)),x83954),f313(f313(f295(x83951),x83955),f178(f890(x83951,a881))))),f313(f313(f3(x83952),f313(f313(f8(x83951,x83952),x83953),x83954)),f313(x83953,x83955)))+~P1(f313(f313(f315(x83951),x83955),x83954))
% 119.46/119.26 [8406]~P120(x84061)+~P1(f313(f313(f222(a883),x84063),x84065))+~P1(f313(f313(f273(x84061),f313(f313(f232(x84061),x84062),x84065)),x84064))+P1(f313(f313(f273(x84061),f313(f313(f232(x84061),x84062),x84063)),x84064))
% 119.46/119.26 [8424]~P65(x84241)+~P1(f313(f54(x84242),x84244))+E(f313(f313(f3(x84241),f313(f313(f8(x84242,x84241),x84243),x84244)),f313(f313(f8(x84242,x84241),x84243),x84245)),f313(f313(f8(x84242,x84241),x84243),f313(f313(f3(f890(x84242,a881)),x84244),x84245)))+~P1(f313(f313(f222(f890(x84242,a881)),x84245),x84244))
% 119.46/119.26 [8443]P1(f313(f54(x84431),f313(x84432,x84433)))+~P1(f313(f54(x84434),x84435))+~P1(f313(f313(f315(x84434),x84433),x84435))+~P1(f313(f54(x84431),f313(f313(f33(x84434,f890(x84431,a881)),x84435),x84432)))
% 119.46/119.26 [8557]~P4(x85575)+~P102(x85571)+~P39(x85575,x85571,x85572)+P1(f313(f313(f222(x85571),f313(f313(f92(x85571),f313(x85572,x85573)),f313(x85572,x85574))),f313(x85572,f313(f313(f177(x85575),x85573),x85574))))
% 119.46/119.26 [8558]~P102(x85585)+~P102(x85581)+~P39(x85585,x85581,x85582)+P1(f313(f313(f222(x85581),f313(f313(f92(x85581),f313(x85582,x85583)),f313(x85582,x85584))),f313(x85582,f313(f313(f92(x85585),x85583),x85584))))
% 119.46/119.26 [8877]~P8(x88771,x88775,x88774)+~E(f313(f271(x88771,x88771,x88774),f313(f313(f295(x88771),x88772),f178(f890(x88771,a881)))),f313(f271(x88771,x88771,x88774),f313(f313(f295(x88771),x88773),f178(f890(x88771,a881)))))+~P1(f313(f313(f315(x88771),x88773),x88775))+P1(f313(f313(f315(f889(x88771,x88771)),f313(f313(f240(x88771,x88771),x88772),x88773)),x88774))
% 119.46/119.26 [9174]~P1(f313(x91741,x91745))+P1(f313(x91741,f349(x91741,x91742,x91743,x91744)))+P1(f313(x91741,f348(x91741,x91742,x91743,x91744)))+~P1(f313(f313(f315(x91744),x91745),f313(f313(f92(f890(x91744,a881)),x91743),x91742)))
% 119.46/119.26 [9357]~P1(f313(x93571,x93575))+P1(f313(x93571,f348(x93571,x93572,x93573,x93574)))+P1(f313(f313(f315(x93574),f349(x93571,x93572,x93573,x93574)),x93572))+~P1(f313(f313(f315(x93574),x93575),f313(f313(f92(f890(x93574,a881)),x93573),x93572)))
% 119.46/119.26 [9358]~P1(f313(x93581,x93585))+P1(f313(x93581,f349(x93581,x93582,x93583,x93584)))+P1(f313(f313(f315(x93584),f348(x93581,x93582,x93583,x93584)),x93583))+~P1(f313(f313(f315(x93584),x93585),f313(f313(f92(f890(x93584,a881)),x93583),x93582)))
% 119.46/119.26 [9363]P1(f313(x93631,x93632))+~P1(f313(x93631,f352(x93631,x93633,x93634,x93635)))+~P1(f313(x93631,f351(x93631,x93633,x93634,x93635)))+~P1(f313(f313(f315(x93635),x93632),f313(f313(f92(f890(x93635,a881)),x93634),x93633)))
% 119.46/119.26 [9367]~P37(x93671,x93674)+~P1(f313(f313(f315(f889(x93671,x93671)),f313(f313(f240(x93671,x93671),x93672),x93675)),x93674))+P1(f313(f313(f315(f889(x93671,x93671)),f313(f313(f240(x93671,x93671),x93672),x93673)),x93674))+~P1(f313(f313(f315(f889(x93671,x93671)),f313(f313(f240(x93671,x93671),x93675),x93673)),x93674))
% 119.46/119.26 [9368]~P37(x93681,x93684)+~P1(f313(f313(f315(f889(x93681,x93681)),f313(f313(f240(x93681,x93681),x93682),x93685)),x93684))+P1(f313(f313(f315(f889(x93681,x93681)),f313(f313(f240(x93681,x93681),x93682),x93683)),x93684))+~P1(f313(f313(f315(f889(x93681,x93681)),f313(f313(f240(x93681,x93681),x93685),x93683)),x93684))
% 119.46/119.26 [9406]E(x94061,x94062)+~P1(f313(f313(f315(f889(x94063,x94063)),f313(f313(f240(x94063,x94063),x94061),x94062)),f293(x94063,x94065)))+P1(f313(f313(f315(x94063),x94061),x94064))+~P1(f313(f313(f222(f890(f889(x94063,x94063),a881)),x94065),f313(f313(f242(x94063,x94063),x94064),f313(f18(f890(x94063,a881),x94063),x94064))))
% 119.46/119.26 [9424]P1(f313(x94241,x94242))+~P1(f313(x94241,f351(x94241,x94244,x94245,x94243)))+P1(f313(f313(f315(x94243),f352(x94241,x94244,x94245,x94243)),x94244))+~P1(f313(f313(f315(x94243),x94242),f313(f313(f92(f890(x94243,a881)),x94245),x94244)))
% 119.46/119.26 [9425]P1(f313(x94251,x94252))+~P1(f313(x94251,f352(x94251,x94254,x94255,x94253)))+P1(f313(f313(f315(x94253),f351(x94251,x94254,x94255,x94253)),x94255))+~P1(f313(f313(f315(x94253),x94252),f313(f313(f92(f890(x94253,a881)),x94255),x94254)))
% 119.46/119.26 [9491]P1(f313(x94911,x94912))+P1(f313(f313(f315(x94913),f352(x94911,x94914,x94915,x94913)),x94914))+P1(f313(f313(f315(x94913),f351(x94911,x94914,x94915,x94913)),x94915))+~P1(f313(f313(f315(x94913),x94912),f313(f313(f92(f890(x94913,a881)),x94915),x94914)))
% 119.46/119.26 [9493]~P1(f313(x94932,x94935))+P1(f313(f313(f315(x94931),f349(x94932,x94933,x94934,x94931)),x94933))+P1(f313(f313(f315(x94931),f348(x94932,x94933,x94934,x94931)),x94934))+~P1(f313(f313(f315(x94931),x94935),f313(f313(f92(f890(x94931,a881)),x94934),x94933)))
% 119.46/119.26 [9643]~P8(x96431,x96435,x96434)+~P1(f313(f313(f315(x96431),x96433),x96435))+P1(f313(f313(f315(f889(x96431,x96431)),f313(f313(f240(x96431,x96431),x96432),x96433)),x96434))+~P1(f313(f313(f222(f890(x96431,a881)),f313(f271(x96431,x96431,x96434),f313(f313(f295(x96431),x96433),f178(f890(x96431,a881))))),f313(f271(x96431,x96431,x96434),f313(f313(f295(x96431),x96432),f178(f890(x96431,a881))))))
% 119.46/119.26 [9771]~P4(x97715)+~P5(x97715)+P1(f313(f313(f315(x97711),f839(x97712,x97713,x97714,x97711,x97715)),x97714))+~P1(f313(f313(f223(x97715),f313(f313(f32(x97711,x97715),x97714),x97713)),x97712))
% 119.46/119.26 [9811]~P89(x98115)+~P83(x98115)+P1(f313(f313(f315(x98111),f704(x98112,x98113,x98114,x98111,x98115)),f313(f160(x98111),x98114)))+P1(f313(f313(f222(x98115),f313(f153(x98115),f313(f313(f142(x98111,x98115),x98113),x98114))),f313(f153(x98115),f313(f313(f142(x98111,x98115),x98112),x98114))))
% 119.46/119.26 [9919]~P4(x99191)+~P5(x99191)+P1(f313(f313(f223(x99191),f313(x99192,f839(x99193,x99192,x99194,x99195,x99191))),x99193))+~P1(f313(f313(f223(x99191),f313(f313(f32(x99195,x99191),x99194),x99192)),x99193))
% 119.46/119.26 [10061]~P89(x100611)+~P83(x100611)+~P1(f313(f313(f222(x100611),f313(x100613,f704(x100615,x100613,x100614,x100612,x100611))),f313(x100615,f704(x100615,x100613,x100614,x100612,x100611))))+P1(f313(f313(f222(x100611),f313(f153(x100611),f313(f313(f142(x100612,x100611),x100613),x100614))),f313(f153(x100611),f313(f313(f142(x100612,x100611),x100615),x100614))))
% 119.46/119.26 [8727]~P79(x87271)+~P1(f313(f54(x87274),x87275))+~P1(f313(f313(f315(x87274),x87273),x87275))+E(f313(f313(f73(x87271),f313(x87272,x87273)),f313(f313(f8(x87274,x87271),x87272),f313(f313(f3(f890(x87274,a881)),x87275),f313(f313(f295(x87274),x87273),f178(f890(x87274,a881)))))),f313(f313(f8(x87274,x87271),x87272),x87275))
% 119.46/119.26 [8728]~P79(x87281)+~P1(f313(f54(x87284),x87285))+~P1(f313(f313(f315(x87284),x87283),x87285))+E(f313(f313(f73(x87281),f313(x87282,x87283)),f313(f313(f8(x87284,x87281),x87282),f313(f313(f3(f890(x87284,a881)),x87285),f313(f313(f295(x87284),x87283),f178(f890(x87284,a881)))))),f313(f313(f8(x87284,x87281),x87282),x87285))
% 119.46/119.26 [8729]~P75(x87291)+~P1(f313(f54(x87294),x87295))+~P1(f313(f313(f315(x87294),x87293),x87295))+E(f313(f313(f74(x87291),f313(x87292,x87293)),f313(f313(f11(x87294,x87291),x87292),f313(f313(f3(f890(x87294,a881)),x87295),f313(f313(f295(x87294),x87293),f178(f890(x87294,a881)))))),f313(f313(f11(x87294,x87291),x87292),x87295))
% 119.46/119.26 [8783]~P18(x87831,x87834,x87835)+~P1(f313(f54(x87831),x87832))+E(f313(f313(f3(f890(x87831,a881)),x87832),f313(f313(f295(x87831),x87833),f178(f890(x87831,a881)))),f178(f890(x87831,a881)))+E(f313(f313(x87834,x87833),f313(x87835,f313(f313(f3(f890(x87831,a881)),x87832),f313(f313(f295(x87831),x87833),f178(f890(x87831,a881)))))),f313(x87835,f313(f313(f295(x87831),x87833),x87832)))
% 119.46/119.26 [9152]~P75(x91521)+~P1(f313(f54(x91522),x91525))+~P1(f313(f54(x91522),x91524))+E(f313(f313(f74(x91521),f313(f313(f11(x91522,x91521),x91523),f313(f313(f92(f890(x91522,a881)),x91524),x91525))),f313(f313(f11(x91522,x91521),x91523),f313(f313(f93(f890(x91522,a881)),x91524),x91525))),f313(f313(f74(x91521),f313(f313(f11(x91522,x91521),x91523),x91524)),f313(f313(f11(x91522,x91521),x91523),x91525)))
% 119.46/119.26 [9153]~P75(x91531)+~P1(f313(f54(x91532),x91535))+~P1(f313(f54(x91532),x91534))+E(f313(f313(f74(x91531),f313(f313(f11(x91532,x91531),x91533),f313(f313(f92(f890(x91532,a881)),x91534),x91535))),f313(f313(f11(x91532,x91531),x91533),f313(f313(f93(f890(x91532,a881)),x91534),x91535))),f313(f313(f74(x91531),f313(f313(f11(x91532,x91531),x91533),x91534)),f313(f313(f11(x91532,x91531),x91533),x91535)))
% 119.46/119.26 [9154]~P79(x91541)+~P1(f313(f54(x91542),x91545))+~P1(f313(f54(x91542),x91544))+E(f313(f313(f73(x91541),f313(f313(f8(x91542,x91541),x91543),f313(f313(f92(f890(x91542,a881)),x91544),x91545))),f313(f313(f8(x91542,x91541),x91543),f313(f313(f93(f890(x91542,a881)),x91544),x91545))),f313(f313(f73(x91541),f313(f313(f8(x91542,x91541),x91543),x91544)),f313(f313(f8(x91542,x91541),x91543),x91545)))
% 119.46/119.26 [9292]~P65(x92921)+~P1(f313(f54(x92922),x92925))+~P1(f313(f54(x92922),x92924))+E(f313(f313(f3(x92921),f313(f313(f73(x92921),f313(f313(f8(x92922,x92921),x92923),x92924)),f313(f313(f8(x92922,x92921),x92923),x92925))),f313(f313(f8(x92922,x92921),x92923),f313(f313(f93(f890(x92922,a881)),x92924),x92925))),f313(f313(f8(x92922,x92921),x92923),f313(f313(f92(f890(x92922,a881)),x92924),x92925)))
% 119.46/119.26 [9507]~P24(x95071,x95072,x95073,x95075)+~P24(x95071,x95072,x95073,x95074)+P24(x95071,x95072,x95073,f313(f313(f92(f890(x95071,a881)),x95074),x95075))+~E(f313(f313(f93(f890(x95072,a881)),f313(f296(x95071,x95072,x95073),f313(f313(f3(f890(x95071,a881)),x95074),x95075))),f313(f296(x95071,x95072,x95073),f313(f313(f3(f890(x95071,a881)),x95075),x95074))),f178(f890(x95072,a881)))
% 119.46/119.26 [9618]E(x96181,f2(a1))+~P1(f313(f313(f223(a1),f2(a1)),x96183))+~P1(f313(f42(x96182,x96181),f313(f313(f240(a1,a1),x96184),x96185)))+P1(f313(f42(x96182,f313(f313(f74(a1),x96181),x96183)),f313(f313(f240(a1,a1),f313(f313(f29(a1),x96184),x96183)),f313(f313(f73(a1),f313(f313(f74(a1),x96181),f38(a1,x96184,x96183))),x96185))))
% 119.46/119.26 [9626]~P1(f313(f313(f223(a883),f2(a883)),x96263))+~P1(f313(f313(f223(a883),f2(a883)),x96262))+~P1(f313(f41(x96261,x96262),f313(f313(f240(a883,a883),x96264),x96265)))+P1(f313(f41(x96261,f313(f313(f74(a883),x96262),x96263)),f313(f313(f240(a883,a883),f313(f313(f29(a883),x96264),x96263)),f313(f313(f73(a883),f313(f313(f74(a883),x96262),f38(a883,x96264,x96263))),x96265))))
% 119.46/119.26 [9674]E(f313(f313(f73(a1),f327(x96741,x96742,x96743,x96744,x96745)),f328(x96741,x96742,x96743,x96744,x96745)),x96745)+~P1(f313(f313(f273(a1),x96744),x96743))+~P1(f313(f313(f273(a1),x96744),f313(f313(f73(a1),x96745),x96741)))+P1(f313(f313(f273(a1),x96744),f313(f313(f73(a1),f313(f313(f3(a1),x96745),x96743)),x96741)))
% 119.46/119.26 [9675]E(f313(f313(f3(a1),f329(x96751,x96752,x96753,x96754,x96755)),f330(x96751,x96752,x96753,x96754,x96755)),x96755)+~P1(f313(f313(f273(a1),x96754),x96753))+~P1(f313(f313(f273(a1),x96754),f313(f313(f73(a1),x96755),x96751)))+P1(f313(f313(f273(a1),x96754),f313(f313(f73(a1),f313(f313(f73(a1),x96755),x96753)),x96751)))
% 119.46/119.26 [9676]~P75(x96761)+~P1(f313(f54(x96762),x96765))+~P1(f313(f54(x96762),x96764))+E(f313(f313(f74(x96761),f313(f313(f313(f58(x96761,x96762,f74(x96761)),x96763),f71(x96761)),f313(f313(f92(f890(x96762,a881)),x96764),x96765))),f313(f313(f313(f58(x96761,x96762,f74(x96761)),x96763),f71(x96761)),f313(f313(f93(f890(x96762,a881)),x96764),x96765))),f313(f313(f74(x96761),f313(f313(f313(f58(x96761,x96762,f74(x96761)),x96763),f71(x96761)),x96764)),f313(f313(f313(f58(x96761,x96762,f74(x96761)),x96763),f71(x96761)),x96765)))
% 119.46/119.26 [9678]~E(f313(f313(f163(x96781),x96785),x96782),f313(f313(f163(x96781),x96785),x96783))+P1(f313(f313(f315(f889(f885(x96781),f885(x96781))),f313(f313(f240(f885(x96781),f885(x96781)),x96782),x96783)),f135(x96781,x96784)))+~P1(f313(f313(f223(a883),x96785),f313(f313(f227(a883),f313(f179(f885(x96781)),x96782)),f313(f179(f885(x96781)),x96783))))+~P1(f313(f313(f315(f889(x96781,x96781)),f313(f313(f240(x96781,x96781),f313(f313(f152(x96781),x96782),x96785)),f313(f313(f152(x96781),x96783),x96785))),x96784))
% 119.46/119.26 [9687]E(f313(f313(f73(a1),f333(x96871,x96872,x96873,x96874,x96875)),f334(x96871,x96872,x96873,x96874,x96875)),x96875)+~P1(f313(f313(f273(a1),x96874),x96873))+P1(f313(f313(f273(a1),x96874),f313(f313(f73(a1),x96875),x96871)))+~P1(f313(f313(f273(a1),x96874),f313(f313(f73(a1),f313(f313(f3(a1),x96875),x96873)),x96871)))
% 119.46/119.26 [9688]E(f313(f313(f3(a1),f335(x96881,x96882,x96883,x96884,x96885)),f336(x96881,x96882,x96883,x96884,x96885)),x96885)+~P1(f313(f313(f273(a1),x96884),x96883))+P1(f313(f313(f273(a1),x96884),f313(f313(f73(a1),x96885),x96881)))+~P1(f313(f313(f273(a1),x96884),f313(f313(f73(a1),f313(f313(f73(a1),x96885),x96883)),x96881)))
% 119.46/119.26 [9785]~P1(f313(f313(f273(a1),x97854),x97853))+P1(f313(f313(f315(a1),f327(x97851,x97852,x97853,x97854,x97855)),x97852))+~P1(f313(f313(f273(a1),x97854),f313(f313(f73(a1),x97855),x97851)))+P1(f313(f313(f273(a1),x97854),f313(f313(f73(a1),f313(f313(f3(a1),x97855),x97853)),x97851)))
% 119.46/119.26 [9786]~P1(f313(f313(f273(a1),x97864),x97863))+P1(f313(f313(f315(a1),f329(x97861,x97862,x97863,x97864,x97865)),x97862))+~P1(f313(f313(f273(a1),x97864),f313(f313(f73(a1),x97865),x97861)))+P1(f313(f313(f273(a1),x97864),f313(f313(f73(a1),f313(f313(f73(a1),x97865),x97863)),x97861)))
% 119.46/119.26 [9793]~P1(f313(f313(f273(a1),x97934),x97933))+P1(f313(f313(f315(a1),f328(x97931,x97932,x97933,x97934,x97935)),f289(a1,f71(a1),x97933)))+~P1(f313(f313(f273(a1),x97934),f313(f313(f73(a1),x97935),x97931)))+P1(f313(f313(f273(a1),x97934),f313(f313(f73(a1),f313(f313(f3(a1),x97935),x97933)),x97931)))
% 119.46/119.26 [9794]~P1(f313(f313(f273(a1),x97944),x97943))+P1(f313(f313(f315(a1),f330(x97941,x97942,x97943,x97944,x97945)),f289(a1,f71(a1),x97943)))+~P1(f313(f313(f273(a1),x97944),f313(f313(f73(a1),x97945),x97941)))+P1(f313(f313(f273(a1),x97944),f313(f313(f73(a1),f313(f313(f73(a1),x97945),x97943)),x97941)))
% 119.46/119.26 [9796]~P2(x97965)+~P89(x97965)+P1(f313(f313(f315(x97961),f403(x97962,x97963,x97964,x97961,x97965)),x97964))+P1(f313(f313(f222(x97965),f313(f313(f8(x97961,x97965),x97963),x97964)),f313(f313(f74(x97965),f313(f91(x97965),f313(f28(x97961),x97964))),x97962)))
% 119.46/119.26 [9797]~P1(f313(f313(f273(a1),x97974),x97973))+P1(f313(f313(f315(a1),f333(x97971,x97972,x97973,x97974,x97975)),x97972))+P1(f313(f313(f273(a1),x97974),f313(f313(f73(a1),x97975),x97971)))+~P1(f313(f313(f273(a1),x97974),f313(f313(f73(a1),f313(f313(f3(a1),x97975),x97973)),x97971)))
% 119.46/119.26 [9798]~P1(f313(f313(f273(a1),x97984),x97983))+P1(f313(f313(f315(a1),f335(x97981,x97982,x97983,x97984,x97985)),x97982))+P1(f313(f313(f273(a1),x97984),f313(f313(f73(a1),x97985),x97981)))+~P1(f313(f313(f273(a1),x97984),f313(f313(f73(a1),f313(f313(f73(a1),x97985),x97983)),x97981)))
% 119.46/119.26 [9799]~P1(f313(f313(f273(a1),x97991),x97995))+P1(f313(f313(f315(a1),f334(x97993,x97994,x97995,x97991,x97992)),f289(a1,f71(a1),x97995)))+P1(f313(f313(f273(a1),x97991),f313(f313(f73(a1),x97992),x97993)))+~P1(f313(f313(f273(a1),x97991),f313(f313(f73(a1),f313(f313(f3(a1),x97992),x97995)),x97993)))
% 119.46/119.26 [9800]~P1(f313(f313(f273(a1),x98001),x98005))+P1(f313(f313(f315(a1),f336(x98003,x98004,x98005,x98001,x98002)),f289(a1,f71(a1),x98005)))+P1(f313(f313(f273(a1),x98001),f313(f313(f73(a1),x98002),x98003)))+~P1(f313(f313(f273(a1),x98001),f313(f313(f73(a1),f313(f313(f73(a1),x98002),x98005)),x98003)))
% 119.46/119.26 [9976]~P2(x99761)+~P89(x99761)+~P1(f313(f313(f222(x99761),f313(x99763,f403(x99765,x99763,x99764,x99762,x99761))),x99765))+P1(f313(f313(f222(x99761),f313(f313(f8(x99762,x99761),x99763),x99764)),f313(f313(f74(x99761),f313(f91(x99761),f313(f28(x99762),x99764))),x99765)))
% 119.46/119.26 [8755]E(f313(f313(f122(x87551),x87552),x87553),f313(f313(f122(x87551),x87554),x87555))+~E(f313(f313(f163(x87551),f313(f179(f885(x87551)),x87552)),x87554),x87552)+~E(f313(f313(f122(x87551),f313(f313(f126(x87551),f313(f179(f885(x87551)),x87552)),x87554)),x87555),x87553)+P1(f313(f313(f222(a883),f313(f179(f885(x87551)),x87554)),f313(f179(f885(x87551)),x87552)))
% 119.46/119.26 [8876]E(f313(f313(f122(x88761),x88762),x88763),f313(f313(f122(x88761),x88764),x88765))+~E(f313(f313(f163(x88761),f313(f179(f885(x88761)),x88762)),x88764),x88762)+~E(x88763,f313(f313(f122(x88761),f313(f313(f126(x88761),f313(f179(f885(x88761)),x88762)),x88764)),x88765))+~P1(f313(f313(f222(a883),f313(f179(f885(x88761)),x88762)),f313(f179(f885(x88761)),x88764)))
% 119.46/119.26 [10126]~P1(f313(x101265,x101264))+~P1(f313(f54(x101262),f313(f250(x101262),x101265)))+P1(f313(f54(x101261),f313(f250(x101261),f313(f313(f9(x101261,x101262,a881),x101263),x101264))))+~P1(f313(f54(x101261),f313(f250(x101261),f313(f313(f10(f890(x101262,a881),a881,x101261),f80(x101262)),f313(f313(f10(f890(x101262,a881),f890(x101262,a881),x101261),f313(f20(x101262,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101262),a311),x101265))),x101263)))))
% 119.46/119.26 [10194]~P1(f313(f54(x101942),x101945))+~P1(f313(f313(f315(x101942),x101944),x101945))+P1(f313(f54(x101941),f313(f250(x101941),f313(f313(f9(x101941,x101942,a881),x101943),x101944))))+~P1(f313(f54(x101941),f313(f250(x101941),f313(f313(f10(f890(x101942,a881),a881,x101941),f80(x101942)),f313(f313(f10(f890(x101942,a881),f890(x101942,a881),x101941),f313(f20(x101942,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101942),a311),f313(f313(f9(x101942,f890(x101942,a881),a881),f315(x101942)),x101945)))),x101943)))))
% 119.46/119.26 [8555]~P19(x85555,x85551,x85556,x85552)+E(f313(f66(x85551,x85551,x85551,f313(x85552,x85553)),f313(x85552,x85554)),f313(f66(x85551,x85551,x85551,f313(x85552,x85554)),f313(x85552,x85553)))+~P1(f313(f54(x85555),x85554))+~P1(f313(f54(x85555),x85553))
% 119.46/119.26 [7950]~P24(x79501,x79502,x79504,x79503)+~E(f313(x79504,x79506),x79505)+E(f313(f70(x79501,x79502,x79503,x79504),x79505),x79506)+~P1(f313(f313(f315(x79501),x79506),x79503))
% 119.46/119.26 [8143]~P20(x81436,x81431,x81434,x81432)+E(f313(f66(x81431,x81431,x81431,f313(x81432,x81433)),f313(x81434,x81435)),f313(x81432,x81433))+~P1(f313(f54(x81436),x81433))+~P1(f313(f313(f315(x81436),x81435),x81433))
% 119.46/119.26 [9341]~P19(x93413,x93411,x93416,x93412)+E(f313(f66(x93411,x93411,x93411,f313(x93412,f313(f313(f3(f890(x93413,a881)),x93414),f313(f313(f295(x93413),x93415),f178(f890(x93413,a881)))))),f313(x93416,x93415)),f313(x93412,x93414))+~P1(f313(f54(x93413),x93414))+~P1(f313(f313(f315(x93413),x93415),x93414))
% 119.46/119.26 [7020]~P66(x70201)+~E(f38(x70201,x70203,x70204),f38(x70201,x70206,x70204))+~E(f38(x70201,x70202,x70204),f38(x70201,x70205,x70204))+E(f38(x70201,f313(f313(f74(x70201),x70202),x70203),x70204),f38(x70201,f313(f313(f74(x70201),x70205),x70206),x70204))
% 119.46/119.26 [7021]~P66(x70211)+~E(f38(x70211,x70213,x70214),f38(x70211,x70216,x70214))+~E(f38(x70211,x70212,x70214),f38(x70211,x70215,x70214))+E(f38(x70211,f313(f313(f73(x70211),x70212),x70213),x70214),f38(x70211,f313(f313(f73(x70211),x70215),x70216),x70214))
% 119.46/119.26 [7022]~P67(x70221)+~E(f38(x70221,x70223,x70224),f38(x70221,x70226,x70224))+~E(f38(x70221,x70222,x70224),f38(x70221,x70225,x70224))+E(f38(x70221,f313(f313(f3(x70221),x70222),x70223),x70224),f38(x70221,f313(f313(f3(x70221),x70225),x70226),x70224))
% 119.46/119.26 [7844]~P16(x78441,x78442,x78443)+~P1(f313(f54(x78441),x78446))+E(f313(f313(f57(x78441,x78442,x78443),x78444),f313(f313(f295(x78441),x78445),x78446)),f313(f313(f57(x78441,x78442,x78443),f313(f313(x78443,x78445),x78444)),x78446))+P1(f313(f313(f315(x78441),x78445),x78446))
% 119.46/119.26 [7909]~P5(x79091)+P1(f313(f313(f222(x79091),x79092),f313(x79093,x79094)))+~P1(f313(f313(f315(x79095),x79094),x79096))+~P1(f313(f313(f222(x79091),x79092),f313(f313(f32(x79095,x79091),x79096),x79093)))
% 119.46/119.26 [8067]~P16(x80671,x80672,x80673)+~P1(f313(f54(x80671),x80676))+E(f313(f313(f57(x80671,x80672,x80673),x80674),f313(f313(f295(x80671),x80675),x80676)),f313(f313(x80673,x80675),f313(f313(f57(x80671,x80672,x80673),x80674),x80676)))+P1(f313(f313(f315(x80671),x80675),x80676))
% 119.46/119.26 [8161]~P4(x81613)+~P1(f313(x81612,x81615))+~P13(x81613,f313(f313(f142(x81611,x81613),x81614),x81616))+E(f313(f124(x81611,x81612),f313(f313(f136(x81611,x81613,x81614),x81615),x81616)),f313(f313(f136(x81611,x81613,x81614),x81615),f313(f124(x81611,x81612),x81616)))
% 119.46/119.26 [8185]E(x81851,x81852)+E(x81853,f2(a1))+~P1(f313(f42(x81854,x81853),f313(f313(f240(a1,a1),x81855),x81852)))+~P1(f313(f42(x81854,x81853),f313(f313(f240(a1,a1),x81856),x81851)))
% 119.46/119.26 [8186]E(x81861,x81862)+E(x81863,f2(a1))+~P1(f313(f42(x81864,x81863),f313(f313(f240(a1,a1),x81862),x81865)))+~P1(f313(f42(x81864,x81863),f313(f313(f240(a1,a1),x81861),x81866)))
% 119.46/119.26 [8208]~P19(x82082,x82085,x82086,x82081)+~P1(f313(f54(x82082),x82084))+E(f313(x82081,f313(f313(f295(x82082),x82083),x82084)),f313(f66(x82085,x82085,x82085,f313(x82081,x82084)),f313(x82086,x82083)))+P1(f313(f313(f315(x82082),x82083),x82084))
% 119.46/119.26 [8427]~P20(x84275,x84271,x84276,x84272)+E(f313(f66(x84271,x84271,x84271,f313(x84272,x84273)),f313(x84272,x84274)),f313(x84272,x84273))+~P1(f313(f54(x84275),x84273))+~P1(f313(f313(f222(f890(x84275,a881)),x84274),x84273))
% 119.46/119.26 [9553]~P24(x95531,x95532,x95534,x95533)+~P1(f313(f313(f315(x95532),x95535),f313(f296(x95531,x95532,x95534),x95533)))+P1(f313(f313(f315(x95531),f313(f70(x95531,x95532,x95533,x95534),x95535)),x95536))+~P1(f313(f313(f222(f890(x95531,a881)),x95533),x95536))
% 119.46/119.26 [9930]~P79(x99302)+~E(f575(x99301,x99303,x99305,x99306,x99304,x99302),f576(x99301,x99303,x99305,x99306,x99304,x99302))+~P1(f313(f54(x99304),x99306))+E(f313(f313(f8(x99301,x99302),x99303),f313(f296(x99304,x99301,x99305),x99306)),f313(f313(f8(x99304,x99302),f313(f66(x99301,x99302,x99304,x99303),x99305)),x99306))
% 119.46/119.26 [9958]~P79(x99586)+E(f313(x99581,f575(x99582,x99583,x99581,x99584,x99585,x99586)),f313(x99581,f576(x99582,x99583,x99581,x99584,x99585,x99586)))+E(f313(f313(f8(x99582,x99586),x99583),f313(f296(x99585,x99582,x99581),x99584)),f313(f313(f8(x99585,x99586),f313(f66(x99582,x99586,x99585,x99583),x99581)),x99584))+~P1(f313(f54(x99585),x99584))
% 119.46/119.26 [10011]~P79(x100112)+~E(f313(x100113,f313(x100115,f576(x100111,x100113,x100115,x100116,x100114,x100112))),f2(x100112))+~P1(f313(f54(x100114),x100116))+E(f313(f313(f8(x100111,x100112),x100113),f313(f296(x100114,x100111,x100115),x100116)),f313(f313(f8(x100114,x100112),f313(f66(x100111,x100112,x100114,x100113),x100115)),x100116))
% 119.46/119.26 [10070]~P79(x100702)+~P1(f313(f54(x100704),x100706))+E(f313(f313(f8(x100701,x100702),x100703),f313(f296(x100704,x100701,x100705),x100706)),f313(f313(f8(x100704,x100702),f313(f66(x100701,x100702,x100704,x100703),x100705)),x100706))+P1(f313(f313(f315(x100704),f576(x100701,x100703,x100705,x100706,x100704,x100702)),x100706))
% 119.46/119.26 [10071]~P79(x100712)+~P1(f313(f54(x100714),x100716))+E(f313(f313(f8(x100711,x100712),x100713),f313(f296(x100714,x100711,x100715),x100716)),f313(f313(f8(x100714,x100712),f313(f66(x100711,x100712,x100714,x100713),x100715)),x100716))+P1(f313(f313(f315(x100714),f575(x100711,x100713,x100715,x100716,x100714,x100712)),x100716))
% 119.46/119.26 [10148]~P39(f890(f889(x101484,x101485),a881),f890(f889(x101484,x101485),a881),x101486)+~P1(f313(f313(x101481,f547(x101481,x101486,x101483,x101482,x101485,x101484)),f548(x101481,x101486,x101483,x101482,x101485,x101484)))+P1(f313(f313(x101481,x101482),x101483))+~P1(f313(f313(f315(f889(x101484,x101485)),f313(f313(f240(x101484,x101485),x101482),x101483)),f86(f890(f889(x101484,x101485),a881),x101486)))
% 119.46/119.26 [10193]~P75(x101931)+~P1(f313(f54(x101932),x101936))+E(f313(f313(f313(f58(x101931,x101932,f74(x101931)),f313(f313(f20(x101932,f890(x101933,a881),x101931),f313(f313(f9(x101932,x101931,f890(f890(x101933,a881),x101931)),f313(f313(f10(f890(x101933,x101931),f890(x101931,f890(f890(x101933,a881),x101931)),x101932),f58(x101931,x101933,f74(x101931))),x101934)),f71(x101931))),x101935)),f71(x101931)),x101936),f313(f313(f313(f58(x101931,f889(x101932,x101933),f74(x101931)),f313(f245(x101932,x101933,x101931),x101934)),f71(x101931)),f313(f313(f242(x101932,x101933),x101936),x101935)))+P1(f313(f313(f315(x101932),f518(x101934,x101935,x101933,x101936,x101932,x101931)),x101936))
% 119.46/119.26 [10214]~P75(x102141)+~P1(f313(f54(x102142),x102146))+E(f313(f313(f313(f58(x102141,x102142,f74(x102141)),f313(f313(f20(x102142,f890(x102143,a881),x102141),f313(f313(f9(x102142,x102141,f890(f890(x102143,a881),x102141)),f313(f313(f10(f890(x102143,x102141),f890(x102141,f890(f890(x102143,a881),x102141)),x102142),f58(x102141,x102143,f74(x102141))),x102144)),f71(x102141))),x102145)),f71(x102141)),x102146),f313(f313(f313(f58(x102141,f889(x102142,x102143),f74(x102141)),f313(f245(x102142,x102143,x102141),x102144)),f71(x102141)),f313(f313(f242(x102142,x102143),x102146),x102145)))+~P1(f313(f54(x102143),f313(x102145,f518(x102144,x102145,x102143,x102146,x102142,x102141))))
% 119.46/119.26 [8340]~P20(x83402,x83405,x83406,x83401)+~P1(f313(f54(x83402),x83404))+~P1(f313(f54(x83402),x83403))+E(f313(x83401,f313(f313(f92(f890(x83402,a881)),x83403),x83404)),f313(f66(x83405,x83405,x83405,f313(x83401,x83403)),f313(x83401,x83404)))
% 119.46/119.26 [8556]~P5(x85561)+P1(f313(f313(f222(x85561),f313(x85562,x85563)),x85564))+~P1(f313(f313(f315(x85565),x85563),x85566))+~P1(f313(f313(f222(x85561),f313(f313(f33(x85565,x85561),x85566),x85562)),x85564))
% 119.46/119.26 [8963]~P24(x89632,x89631,x89633,x89636)+E(f313(f313(f3(f890(x89631,a881)),f313(f296(x89632,x89631,x89633),x89634)),f313(f296(x89632,x89631,x89633),x89635)),f313(f296(x89632,x89631,x89633),f313(f313(f3(f890(x89632,a881)),x89634),x89635)))+~P1(f313(f313(f222(f890(x89632,a881)),x89635),x89636))+~P1(f313(f313(f222(f890(x89632,a881)),x89634),x89636))
% 119.46/119.26 [8964]~P24(x89642,x89641,x89643,x89646)+E(f313(f313(f93(f890(x89641,a881)),f313(f296(x89642,x89641,x89643),x89644)),f313(f296(x89642,x89641,x89643),x89645)),f313(f296(x89642,x89641,x89643),f313(f313(f93(f890(x89642,a881)),x89644),x89645)))+~P1(f313(f313(f222(f890(x89642,a881)),x89645),x89646))+~P1(f313(f313(f222(f890(x89642,a881)),x89644),x89646))
% 119.46/119.26 [9219]E(x92191,x92192)+~P57(x92193,x92194,x92195)+~P1(f313(f313(f315(f889(x92193,x92194)),f313(f313(f240(x92193,x92194),x92196),x92192)),x92195))+~P1(f313(f313(f315(f889(x92193,x92194)),f313(f313(f240(x92193,x92194),x92196),x92191)),x92195))
% 119.46/119.26 [9220]E(x92201,x92202)+~P57(x92203,x92204,x92205)+~P1(f313(f313(f315(f889(x92203,x92204)),f313(f313(f240(x92203,x92204),x92206),x92202)),x92205))+~P1(f313(f313(f315(f889(x92203,x92204)),f313(f313(f240(x92203,x92204),x92206),x92201)),x92205))
% 119.46/119.26 [10007]~P64(x100071)+~E(f313(x100073,f595(x100074,x100076,x100073,x100075,x100072,x100071)),f313(x100076,f595(x100074,x100076,x100073,x100075,x100072,x100071)))+~P1(f313(f54(x100072),x100075))+E(f313(f313(f313(f58(x100071,x100072,f74(x100071)),x100073),x100074),x100075),f313(f313(f313(f58(x100071,x100072,f74(x100071)),x100076),x100074),x100075))
% 119.46/119.26 [10067]~P64(x100671)+~P1(f313(f54(x100672),x100675))+E(f313(f313(f313(f58(x100671,x100672,f74(x100671)),x100673),x100674),x100675),f313(f313(f313(f58(x100671,x100672,f74(x100671)),x100676),x100674),x100675))+P1(f313(f313(f315(x100672),f595(x100674,x100673,x100676,x100675,x100672,x100671)),x100675))
% 119.46/119.26 [8768]~P64(x87681)+~P1(f313(f54(x87682),x87686))+P1(f313(f313(f315(x87682),x87685),x87686))+E(f313(f313(f313(f58(x87681,x87682,f74(x87681)),x87683),x87684),f313(f313(f295(x87682),x87685),x87686)),f313(f313(f74(x87681),f313(x87683,x87685)),f313(f313(f313(f58(x87681,x87682,f74(x87681)),x87683),x87684),x87686)))
% 119.46/119.26 [8816]~P8(x88161,x88166,x88163)+~P11(x88161,f890(x88162,a881),x88163,x88165)+~P1(f313(f313(f315(x88161),x88164),x88166))+E(f313(f313(f33(x88161,f890(x88162,a881)),f313(f271(x88161,x88161,x88163),f313(f313(f295(x88161),x88164),f178(f890(x88161,a881))))),x88165),f313(x88165,x88164))
% 119.46/119.26 [8940]~P16(x89403,x89404,x89401)+~P1(f313(f54(x89403),x89406))+~P1(f313(f313(f315(x89403),x89402),x89406))+E(f313(f313(x89401,x89402),f313(f313(f57(x89403,x89404,x89401),x89405),f313(f313(f3(f890(x89403,a881)),x89406),f313(f313(f295(x89403),x89402),f178(f890(x89403,a881)))))),f313(f313(f57(x89403,x89404,x89401),x89405),x89406))
% 119.46/119.26 [9231]~P19(x92313,x92311,x92316,x92312)+~P1(f313(f54(x92313),x92315))+~P1(f313(f54(x92313),x92314))+E(f313(f66(x92311,x92311,x92311,f313(x92312,f313(f313(f92(f890(x92313,a881)),x92314),x92315))),f313(x92312,f313(f313(f93(f890(x92313,a881)),x92314),x92315))),f313(f66(x92311,x92311,x92311,f313(x92312,x92314)),f313(x92312,x92315)))
% 119.46/119.26 [10222]~P39(f890(f889(x102224,x102225),a881),f890(f889(x102224,x102225),a881),x102226)+P1(f313(f313(x102221,x102222),x102223))+~P1(f313(f313(f315(f889(x102224,x102225)),f313(f313(f240(x102224,x102225),x102222),x102223)),f86(f890(f889(x102224,x102225),a881),x102226)))+P1(f313(f313(f315(f889(x102224,x102225)),f313(f313(f240(x102224,x102225),f547(x102221,x102226,x102223,x102222,x102225,x102224)),f548(x102221,x102226,x102223,x102222,x102225,x102224))),f313(x102226,f313(f313(f93(f890(f889(x102224,x102225),a881)),f86(f890(f889(x102224,x102225),a881),x102226)),f313(f250(f889(x102224,x102225)),f313(f245(x102224,x102225,a881),x102221))))))
% 119.46/119.26 [9573]~E(x95733,f313(f313(f147(x95731,x95732),x95735),x95736))+P1(f313(f313(f315(f889(f885(x95731),f885(x95731))),f313(f313(f240(f885(x95731),f885(x95731)),x95732),x95733)),f145(x95731,x95734)))+~P1(f313(f313(f223(a883),x95735),f313(f179(f885(x95731)),x95732)))+~P1(f313(f313(f315(f889(x95731,x95731)),f313(f313(f240(x95731,x95731),f313(f313(f152(x95731),x95732),x95735)),x95736)),x95734))
% 119.46/119.26 [10085]~P79(x100852)+~P1(f313(f54(x100851),x100856))+P1(f313(f313(f315(x100851),f516(x100854,x100855,x100853,x100856,x100851,x100852)),x100856))+E(f313(f313(f8(x100851,x100852),f313(f313(f20(x100851,f890(x100853,a881),x100852),f313(f313(f10(f890(x100853,x100852),f890(f890(x100853,a881),x100852),x100851),f8(x100853,x100852)),x100854)),x100855)),x100856),f313(f313(f8(f889(x100851,x100853),x100852),f313(f245(x100851,x100853,x100852),x100854)),f313(f313(f242(x100851,x100853),x100856),x100855)))
% 119.46/119.26 [10086]~P75(x100862)+~P1(f313(f54(x100861),x100866))+P1(f313(f313(f315(x100861),f517(x100864,x100865,x100863,x100866,x100861,x100862)),x100866))+E(f313(f313(f11(x100861,x100862),f313(f313(f20(x100861,f890(x100863,a881),x100862),f313(f313(f10(f890(x100863,x100862),f890(f890(x100863,a881),x100862),x100861),f11(x100863,x100862)),x100864)),x100865)),x100866),f313(f313(f11(f889(x100861,x100863),x100862),f313(f245(x100861,x100863,x100862),x100864)),f313(f313(f242(x100861,x100863),x100866),x100865)))
% 119.46/119.26 [10124]~P79(x101242)+~P1(f313(f54(x101241),x101246))+~P1(f313(f54(x101243),f313(x101245,f516(x101244,x101245,x101243,x101246,x101241,x101242))))+E(f313(f313(f8(x101241,x101242),f313(f313(f20(x101241,f890(x101243,a881),x101242),f313(f313(f10(f890(x101243,x101242),f890(f890(x101243,a881),x101242),x101241),f8(x101243,x101242)),x101244)),x101245)),x101246),f313(f313(f8(f889(x101241,x101243),x101242),f313(f245(x101241,x101243,x101242),x101244)),f313(f313(f242(x101241,x101243),x101246),x101245)))
% 119.46/119.26 [10125]~P75(x101252)+~P1(f313(f54(x101251),x101256))+~P1(f313(f54(x101253),f313(x101255,f517(x101254,x101255,x101253,x101256,x101251,x101252))))+E(f313(f313(f11(x101251,x101252),f313(f313(f20(x101251,f890(x101253,a881),x101252),f313(f313(f10(f890(x101253,x101252),f890(f890(x101253,a881),x101252),x101251),f11(x101253,x101252)),x101254)),x101255)),x101256),f313(f313(f11(f889(x101251,x101253),x101252),f313(f245(x101251,x101253,x101252),x101254)),f313(f313(f242(x101251,x101253),x101256),x101255)))
% 119.46/119.26 [10108]~P75(x101082)+~P1(f313(f54(x101081),x101086))+P1(f313(f313(f315(x101081),x101083),x101086))+E(f313(f313(f11(x101081,x101082),f313(f313(f9(x101081,x101082,x101082),f313(f313(f20(x101081,x101082,f890(x101082,x101082)),f313(f313(f10(a881,f890(x101082,f890(x101082,x101082)),x101081),f84(x101082)),f313(f313(f9(x101081,x101081,a881),a310),x101083))),x101084)),x101085)),x101086),f313(f313(f232(x101082),x101085),f313(f28(x101081),x101086)))
% 119.46/119.26 [10111]~P75(x101112)+~P1(f313(f54(x101111),x101116))+~P1(f313(f313(f315(x101111),x101113),x101116))+E(f313(f313(f11(x101111,x101112),f313(f313(f9(x101111,x101112,x101112),f313(f313(f20(x101111,x101112,f890(x101112,x101112)),f313(f313(f10(a881,f890(x101112,f890(x101112,x101112)),x101111),f84(x101112)),f313(f313(f9(x101111,x101111,a881),a310),x101113))),x101114)),x101115)),x101116),f313(f313(f74(x101112),f313(x101114,x101113)),f313(f313(f232(x101112),x101115),f313(f313(f3(a883),f313(f28(x101111),x101116)),f71(a883)))))
% 119.46/119.26 [10181]~P1(f313(f54(x101811),x101815))+~P1(f313(f54(x101812),x101813))+P1(f313(f313(f315(x101812),f539(x101816,x101814,x101813,x101812,x101815,x101811)),x101813))+E(f313(f313(f8(x101811,a883),f313(f313(f10(f890(x101812,a881),a883,x101811),f28(x101812)),f313(f313(f10(f890(x101812,a881),f890(x101812,a881),x101811),f250(x101812)),f313(f313(f10(f890(x101812,a881),f890(x101812,a881),x101811),f313(f20(x101812,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101812),a311),f313(f313(f9(x101812,f890(x101812,a881),a881),f315(x101812)),x101813)))),x101814)))),x101815),f313(f313(f74(a883),x101816),f313(f28(x101812),x101813)))
% 119.46/119.26 [10182]~P1(f313(f54(x101821),x101825))+~P1(f313(f54(x101822),x101823))+P1(f313(f313(f315(x101822),f549(x101826,x101824,x101823,x101822,x101825,x101821)),x101823))+E(f313(f313(f8(x101821,a883),f313(f313(f10(f890(x101822,a881),a883,x101821),f28(x101822)),f313(f313(f10(f890(x101822,a881),f890(x101822,a881),x101821),f250(x101822)),f313(f313(f10(f890(x101822,a881),f890(x101822,a881),x101821),f313(f20(x101822,a881,a881),f313(f313(f10(a881,f890(a881,a881),x101822),a311),f313(f313(f9(x101822,f890(x101822,a881),a881),f315(x101822)),x101823)))),x101824)))),x101825),f313(f313(f8(x101822,a883),x101826),x101823))
% 119.46/119.26 [10226]~P1(f313(f54(x102262),x102263))+~P1(f313(f54(x102261),x102265))+~E(f313(f28(x102261),f313(f250(x102261),f313(f313(f20(x102261,a881,a881),f313(f313(f10(a881,f890(a881,a881),x102261),a311),f313(f313(f9(x102261,f890(x102261,a881),a881),f315(x102261)),x102265))),f313(f313(f9(x102261,x102262,a881),x102264),f539(x102266,x102264,x102263,x102262,x102265,x102261))))),x102266)+E(f313(f313(f8(x102261,a883),f313(f313(f10(f890(x102262,a881),a883,x102261),f28(x102262)),f313(f313(f10(f890(x102262,a881),f890(x102262,a881),x102261),f250(x102262)),f313(f313(f10(f890(x102262,a881),f890(x102262,a881),x102261),f313(f20(x102262,a881,a881),f313(f313(f10(a881,f890(a881,a881),x102262),a311),f313(f313(f9(x102262,f890(x102262,a881),a881),f315(x102262)),x102263)))),x102264)))),x102265),f313(f313(f74(a883),x102266),f313(f28(x102262),x102263)))
% 119.46/119.26 [10228]~P1(f313(f54(x102282),x102283))+~P1(f313(f54(x102281),x102285))+~E(f313(f28(x102281),f313(f250(x102281),f313(f313(f20(x102281,a881,a881),f313(f313(f10(a881,f890(a881,a881),x102281),a311),f313(f313(f9(x102281,f890(x102281,a881),a881),f315(x102281)),x102285))),f313(f313(f9(x102281,x102282,a881),x102284),f549(x102286,x102284,x102283,x102282,x102285,x102281))))),f313(x102286,f549(x102286,x102284,x102283,x102282,x102285,x102281)))+E(f313(f313(f8(x102281,a883),f313(f313(f10(f890(x102282,a881),a883,x102281),f28(x102282)),f313(f313(f10(f890(x102282,a881),f890(x102282,a881),x102281),f250(x102282)),f313(f313(f10(f890(x102282,a881),f890(x102282,a881),x102281),f313(f20(x102282,a881,a881),f313(f313(f10(a881,f890(a881,a881),x102282),a311),f313(f313(f9(x102282,f890(x102282,a881),a881),f315(x102282)),x102283)))),x102284)))),x102285),f313(f313(f8(x102282,a883),x102286),x102283))
% 119.46/119.26 [9861]E(x98611,x98612)+~P16(x98613,x98614,x98615)+~P1(f313(f59(x98613,x98614,x98615,x98616,x98617),x98612))+~P1(f313(f59(x98613,x98614,x98615,x98616,x98617),x98611))
% 119.46/119.26 [9494]~P33(x94941,x94942,x94943,x94945,x94947)+~P33(x94941,x94942,x94943,x94944,x94946)+P33(x94941,x94942,x94943,f313(f313(f122(x94941),x94944),x94945),f313(f313(f122(x94942),x94946),x94947))+~E(f313(f179(f885(x94941)),x94944),f313(f179(f885(x94942)),x94946))
% 119.46/119.26 [9647]P1(f313(x96471,x96472))+~P1(f313(f313(f315(x96477),x96472),f313(x96476,x96474)))+~P1(f313(x96471,f353(x96471,x96476,x96475,x96473,x96477)))+~P1(f313(f313(f315(x96473),x96474),x96475))
% 119.46/119.26 [10099]~P16(x100997,x100996,x100991)+E(f313(f313(x100991,x100992),f627(x100992,x100993,x100994,x100995,x100991,x100996,x100997)),x100993)+~P1(f313(f59(x100997,x100996,x100991,x100995,x100994),x100993))+~P1(f313(f313(f315(x100997),x100992),x100994))
% 119.46/119.26 [10163]~P16(x101631,x101632,x101633)+~P1(f313(f59(x101631,x101632,x101633,x101634,x101635),x101637))+P1(f313(f59(x101631,x101632,x101633,x101634,f313(f313(f3(f890(x101631,a881)),x101635),f313(f313(f295(x101631),x101636),f178(f890(x101631,a881))))),f627(x101636,x101637,x101635,x101634,x101633,x101632,x101631)))+~P1(f313(f313(f315(x101631),x101636),x101635))
% 119.46/119.26 [9549]~P64(x95491)+~P24(x95495,x95492,x95496,x95497)+~P1(f313(f54(x95495),x95497))+E(f313(f313(f313(f58(x95491,x95492,f74(x95491)),x95493),x95494),f313(f296(x95495,x95492,x95496),x95497)),f313(f313(f313(f58(x95491,x95495,f74(x95491)),f313(f66(x95492,x95491,x95495,x95493),x95496)),x95494),x95497))
% 119.46/119.26 [9670]~E(f313(f313(f295(x96701),x96705),x96706),f313(f313(f295(x96701),x96702),x96703))+~P1(f313(f59(x96701,x96701,x96704,x96702,x96703),x96707))+P1(f313(f313(f315(x96701),x96702),x96703))+P1(f313(f55(x96701,x96704,f313(f313(f295(x96701),x96705),x96706)),x96707))
% 119.46/119.26 [9757]P1(f313(x97571,x97572))+~P1(f313(f313(f315(x97573),x97572),f313(x97574,x97577)))+~P1(f313(f313(f315(x97576),x97577),x97575))+P1(f313(f313(f315(x97573),f353(x97571,x97574,x97575,x97576,x97573)),f313(f313(f33(x97576,f890(x97573,a881)),x97575),x97574)))
% 119.46/119.26 [9772]~P24(x97722,x97721,x97725,x97724)+~P24(x97721,x97723,x97726,f313(f296(x97722,x97721,x97725),x97724))+E(f313(f313(f66(x97721,x97722,x97723,f70(x97722,x97721,x97724,x97725)),f70(x97721,x97723,f313(f296(x97722,x97721,x97725),x97724),x97726)),x97727),f313(f70(x97722,x97723,x97724,f313(f66(x97721,x97723,x97722,x97726),x97725)),x97727))+~P1(f313(f313(f315(x97723),x97727),f313(f296(x97721,x97723,x97726),f313(f296(x97722,x97721,x97725),x97724))))
% 119.46/119.26 [10100]~P16(x101007,x101006,x101001)+E(f313(f313(x101001,x101002),f645(x101003,x101004,x101002,x101005,x101001,x101006,x101007)),x101003)+P1(f313(f313(f315(x101007),x101002),x101004))+~P1(f313(f59(x101007,x101006,x101001,x101005,f313(f313(f295(x101007),x101002),x101004)),x101003))
% 119.46/119.26 [10162]~P16(x101621,x101624,x101625)+P1(f313(f59(x101621,x101624,x101625,x101626,x101623),f645(x101627,x101623,x101622,x101626,x101625,x101624,x101621)))+P1(f313(f313(f315(x101621),x101622),x101623))+~P1(f313(f59(x101621,x101624,x101625,x101626,f313(f313(f295(x101621),x101622),x101623)),x101627))
% 119.46/119.26 [9843]E(x98431,f2(a1))+~P1(f313(f42(x98433,x98431),f313(f313(f240(a1,a1),x98435),x98437)))+~P1(f313(f42(x98432,x98431),f313(f313(f240(a1,a1),x98434),x98436)))+P1(f313(f42(f313(f313(f73(a1),x98432),x98433),x98431),f313(f313(f240(a1,a1),f313(f313(f73(a1),f313(f313(f73(a1),x98434),x98435)),f313(f313(f29(a1),f313(f313(f73(a1),x98436),x98437)),x98431))),f38(a1,f313(f313(f73(a1),x98436),x98437),x98431))))
% 119.46/119.26 [9845]~P1(f313(f313(f223(a883),f2(a883)),x98453))+~P1(f313(f41(x98452,x98453),f313(f313(f240(a883,a883),x98455),x98457)))+~P1(f313(f41(x98451,x98453),f313(f313(f240(a883,a883),x98454),x98456)))+P1(f313(f41(f313(f313(f73(a883),x98451),x98452),x98453),f313(f313(f240(a883,a883),f313(f313(f73(a883),f313(f313(f73(a883),x98454),x98455)),f313(f313(f29(a883),f313(f313(f73(a883),x98456),x98457)),x98453))),f38(a883,f313(f313(f73(a883),x98456),x98457),x98453))))
% 119.46/119.26 [10225]~P79(x102252)+~P1(f313(f54(x102253),x102255))+~P1(f313(f54(x102251),x102257))+E(f313(f313(f8(x102251,x102252),f313(f313(f20(x102251,f890(x102253,a881),x102252),f313(f313(f10(f890(x102253,x102252),f890(f890(x102253,a881),x102252),x102251),f8(x102253,x102252)),x102254)),f313(f313(f10(f890(x102253,a881),f890(x102253,a881),x102251),f250(x102253)),f313(f313(f10(f890(x102253,a881),f890(x102253,a881),x102251),f313(f20(x102253,a881,a881),f313(f313(f10(a881,f890(a881,a881),x102253),a311),f313(f313(f9(x102253,f890(x102253,a881),a881),f315(x102253)),x102255)))),x102256)))),x102257),f313(f313(f8(x102253,x102252),f313(f313(f20(x102253,f890(x102251,a881),x102252),f313(f313(f10(f890(x102251,x102252),f890(f890(x102251,a881),x102252),x102253),f8(x102251,x102252)),f313(f9(x102251,x102253,x102252),x102254))),f313(f313(f10(f890(x102251,a881),f890(x102251,a881),x102253),f250(x102251)),f313(f313(f10(f890(x102251,a881),f890(x102251,a881),x102253),f313(f20(x102251,a881,a881),f313(f313(f10(a881,f890(a881,a881),x102251),a311),f313(f313(f9(x102251,f890(x102251,a881),a881),f315(x102251)),x102257)))),f313(f9(x102251,x102253,a881),x102256))))),x102255))
% 119.46/119.26 [9709]~P22(x97097,x97096,x97091,x97098,x97092,x97094)+E(f313(f313(x97091,f313(x97092,x97093)),f313(x97094,x97095)),f313(x97094,x97095))+~P1(f313(f54(x97096),x97095))+~P1(f313(f313(f315(x97096),x97093),x97095))
% 119.46/119.26 [9713]~P12(x97136,x97131,x97132,x97138,x97133,x97134)+~P8(x97136,x97137,x97138)+P11(x97131,x97132,x97133,f313(x97134,x97135))+~P1(f313(f313(f315(x97136),x97135),x97137))
% 119.46/119.26 [9326]~P19(x93267,x93261,x93268,x93263)+~P1(f313(f54(x93267),x93265))+~P1(f313(f54(x93267),x93264))+E(f313(f66(x93261,x93261,x93262,f313(x93263,x93264)),f313(f66(x93261,x93261,x93262,f313(x93263,x93265)),x93266)),f313(f66(x93261,x93261,x93262,f313(x93263,x93265)),f313(f66(x93261,x93261,x93262,f313(x93263,x93264)),x93266)))
% 119.46/119.26 [9334]~P33(x93341,x93342,x93343,x93344,x93347)+P33(x93341,x93342,x93343,f313(f313(f147(x93341,x93344),x93345),x93346),f313(f313(f147(x93342,x93347),x93345),x93348))+~P1(f313(f313(x93343,x93346),x93348))+~P1(f313(f313(f223(a883),x93345),f313(f179(f885(x93341)),x93344)))
% 119.46/119.26 [9335]~P33(x93351,x93352,x93353,x93354,x93357)+P33(x93351,x93352,x93353,f313(f313(f147(x93351,x93354),x93355),x93356),f313(f313(f147(x93352,x93357),x93355),x93358))+~P1(f313(f313(x93353,x93356),x93358))+~P1(f313(f313(f223(a883),x93355),f313(f179(f885(x93352)),x93357)))
% 119.46/119.26 [9413]~P24(x94132,x94132,x94135,x94136)+~P21(x94133,x94132,x94137,x94138,x94131)+~P1(f313(f54(x94132),x94136))+E(f313(f313(x94131,f313(f66(x94132,x94133,x94132,x94134),x94135)),x94136),f313(f313(x94131,x94134),f313(f296(x94132,x94132,x94135),x94136)))
% 119.46/119.26 [9711]~P23(x97117,x97112,x97115,x97118,x97116,x97111)+~P1(f313(f54(x97112),x97114))+E(f313(x97111,f313(f313(f295(x97112),x97113),x97114)),f313(f313(x97115,f313(x97116,x97113)),f313(x97111,x97114)))+P1(f313(f313(f315(x97112),x97113),x97114))
% 119.46/119.26 [9722]~P22(x97226,x97225,x97221,x97227,x97228,x97222)+E(f313(f313(x97221,f313(x97222,x97223)),f313(x97222,x97224)),f313(x97222,x97224))+~P1(f313(f54(x97225),x97224))+~P1(f313(f313(f222(f890(x97225,a881)),x97223),x97224))
% 119.46/119.26 [9312]P1(f313(f313(f315(f889(f885(x93121),f885(x93121))),f313(f313(f240(f885(x93121),f885(x93121)),x93122),x93123)),f145(x93121,x93124)))+~E(x93123,f313(f313(f122(x93121),x93125),f313(f313(f139(x93121),x93126),x93127)))+~E(x93122,f313(f313(f122(x93121),x93125),f313(f313(f139(x93121),x93128),x93127)))+~P1(f313(f313(f315(f889(x93121,x93121)),f313(f313(f240(x93121,x93121),x93128),x93126)),x93124))
% 119.46/119.26 [9716]~P22(x97166,x97162,x97165,x97167,x97168,x97161)+~P1(f313(f54(x97162),x97164))+~P1(f313(f54(x97162),x97163))+E(f313(x97161,f313(f313(f92(f890(x97162,a881)),x97163),x97164)),f313(f313(x97165,f313(x97161,x97163)),f313(x97161,x97164)))
% 119.46/119.26 [10267]~P24(x102674,x102672,x102675,x102678)+E(f313(f313(f32(x102671,f890(x102672,a881)),x102673),f313(f313(f10(f890(x102674,a881),f890(x102672,a881),x102671),f296(x102674,x102672,x102675)),x102676)),f313(f296(x102674,x102672,x102675),f313(f313(f32(x102671,f890(x102674,a881)),x102673),x102676)))+~P1(f313(f313(f315(x102671),x102677),x102673))+P1(f313(f313(f315(x102671),f483(x102677,x102676,x102673,x102671,x102678,x102675,x102672,x102674)),x102673))
% 119.46/119.26 [10289]~P24(x102894,x102892,x102895,x102897)+E(f313(f313(f32(x102891,f890(x102892,a881)),x102893),f313(f313(f10(f890(x102894,a881),f890(x102892,a881),x102891),f296(x102894,x102892,x102895)),x102896)),f313(f296(x102894,x102892,x102895),f313(f313(f32(x102891,f890(x102894,a881)),x102893),x102896)))+~P1(f313(f313(f315(x102891),x102898),x102893))+~P1(f313(f313(f222(f890(x102894,a881)),f313(x102896,f483(x102898,x102896,x102893,x102891,x102897,x102895,x102892,x102894))),x102897))
% 119.46/119.26 [9781]~P23(x97817,x97815,x97811,x97818,x97812,x97814)+~P1(f313(f54(x97815),x97816))+~P1(f313(f313(f315(x97815),x97813),x97816))+E(f313(f313(x97811,f313(x97812,x97813)),f313(x97814,f313(f313(f3(f890(x97815,a881)),x97816),f313(f313(f295(x97815),x97813),f178(f890(x97815,a881)))))),f313(x97814,x97816))
% 119.46/119.26 [9791]~P23(x97916,x97913,x97911,x97917,x97918,x97912)+~P1(f313(f54(x97913),x97915))+~P1(f313(f54(x97913),x97914))+E(f313(f313(x97911,f313(x97912,f313(f313(f92(f890(x97913,a881)),x97914),x97915))),f313(x97912,f313(f313(f93(f890(x97913,a881)),x97914),x97915))),f313(f313(x97911,f313(x97912,x97914)),f313(x97912,x97915)))
% 119.46/119.26 [9883]P42(x98831,x98832,x98833,x98834,x98835,f313(f313(x98833,x98836),x98837))+~P42(x98831,x98832,x98833,x98834,f313(f313(f3(f890(x98831,a881)),x98835),f313(f313(f295(x98831),x98838),f178(f890(x98831,a881)))),x98839)+~E(f313(f313(x98833,x98836),x98837),f313(f313(x98833,x98838),x98839))+~P1(f313(f313(f315(x98831),x98838),x98835))
% 119.46/119.26 [9823]~P12(x98236,x98237,x98238,x98239,x982310,x98231)+E(f313(f313(x98231,x98232),x98233),f313(f313(x98231,x98234),x98235))+~P1(f313(f313(f315(f889(x98237,x98237)),f313(f313(f240(x98237,x98237),x98233),x98235)),x982310))+~P1(f313(f313(f315(f889(x98236,x98236)),f313(f313(f240(x98236,x98236),x98232),x98234)),x98239))
% 119.46/119.26 [6948]E(x69481,x69482)+~P1(f313(f313(f222(a1),f2(a1)),x69482))+~P1(f313(f313(f222(a1),f2(a1)),x69481))+~P1(f313(f313(f273(a1),x69482),x69481))+~P1(f313(f313(f273(a1),x69481),x69482))
% 119.46/119.26 [9572]E(x95721,f2(a1))+E(x95722,f2(a1))+E(f313(f313(f79(a1,f889(a1,a1)),f313(f313(a207,x95722),x95721)),f313(f313(f20(a1,a1,f889(a1,a1)),f313(f313(f10(a1,f890(a1,f889(a1,a1)),a1),f240(a1,a1)),f313(f29(a1),x95722))),f313(f29(a1),x95721))),f205(x95722,x95721))+P1(f313(f313(f223(a1),x95721),f2(a1)))+~P1(f313(f301(f889(a1,a1),a211),f313(f313(f240(a1,a1),x95722),x95721)))
% 119.46/119.26 [9415]~P103(x94152)+E(x94151,f178(f890(x94152,a881)))+~P1(f313(f54(x94152),x94151))+P1(f313(f313(f315(x94152),f15(x94152,x94151)),x94151))+~P1(f313(f313(f315(x94152),f313(f313(f92(x94152),f406(x94151,x94152)),f409(x94151,x94152))),f313(f313(f295(x94152),f406(x94151,x94152)),f313(f313(f295(x94152),f409(x94151,x94152)),f178(f890(x94152,a881))))))
% 119.46/119.26 [9416]~P4(x94162)+E(x94161,f178(f890(x94162,a881)))+~P1(f313(f54(x94162),x94161))+P1(f313(f313(f315(x94162),f16(x94162,x94161)),x94161))+~P1(f313(f313(f315(x94162),f313(f313(f177(x94162),f407(x94161,x94162)),f408(x94161,x94162))),f313(f313(f295(x94162),f407(x94161,x94162)),f313(f313(f295(x94162),f408(x94161,x94162)),f178(f890(x94162,a881))))))
% 119.46/119.26 [9417]~P4(x94172)+E(x94171,f178(f890(x94172,a881)))+~P1(f313(f54(x94172),x94171))+P1(f313(f313(f315(x94172),f17(x94172,x94171)),x94171))+~P1(f313(f313(f315(x94172),f313(f313(f227(x94172),f410(x94171,x94172)),f413(x94171,x94172))),f313(f313(f295(x94172),f410(x94171,x94172)),f313(f313(f295(x94172),f413(x94171,x94172)),f178(f890(x94172,a881))))))
% 119.46/119.26 [9418]~P103(x94182)+E(x94181,f178(f890(x94182,a881)))+~P1(f313(f54(x94182),x94181))+P1(f313(f313(f315(x94182),f12(x94182,x94181)),x94181))+~P1(f313(f313(f315(x94182),f313(f313(f93(x94182),f474(x94181,x94182)),f477(x94181,x94182))),f313(f313(f295(x94182),f474(x94181,x94182)),f313(f313(f295(x94182),f477(x94181,x94182)),f178(f890(x94182,a881))))))
% 119.46/119.26 [9448]~P64(x94482)+E(x94481,f178(f890(x94482,a881)))+~P1(f313(f54(x94482),x94481))+P1(f313(f313(f315(x94482),f313(f56(x94482,f74(x94482)),x94481)),x94481))+~P1(f313(f313(f315(x94482),f313(f313(f74(x94482),f521(x94481,x94482)),f522(x94481,x94482))),f313(f313(f295(x94482),f521(x94481,x94482)),f313(f313(f295(x94482),f522(x94481,x94482)),f178(f890(x94482,a881))))))
% 119.46/119.26 [9453]~P4(x94532)+E(x94531,f178(f890(x94532,a881)))+~P1(f313(f54(x94532),x94531))+P1(f313(f313(f315(x94532),f13(x94532,f177(x94532),x94531)),x94531))+~P1(f313(f313(f315(x94532),f313(f313(f177(x94532),f414(x94531,x94532)),f415(x94531,x94532))),f313(f313(f295(x94532),f414(x94531,x94532)),f313(f313(f295(x94532),f415(x94531,x94532)),f178(f890(x94532,a881))))))
% 119.46/119.26 [9454]~P4(x94542)+E(x94541,f178(f890(x94542,a881)))+~P1(f313(f54(x94542),x94541))+P1(f313(f313(f315(x94542),f14(x94542,f227(x94542),x94541)),x94541))+~P1(f313(f313(f315(x94542),f313(f313(f227(x94542),f416(x94541,x94542)),f417(x94541,x94542))),f313(f313(f295(x94542),f416(x94541,x94542)),f313(f313(f295(x94542),f417(x94541,x94542)),f178(f890(x94542,a881))))))
% 119.46/119.26 [6554]~P93(x65542)+E(x65541,f2(x65542))+~E(f313(f313(f73(x65542),x65543),x65541),f2(x65542))+~P1(f313(f313(f222(x65542),f2(x65542)),x65543))+~P1(f313(f313(f222(x65542),f2(x65542)),x65541))
% 119.46/119.26 [6555]~P93(x65552)+E(x65551,f2(x65552))+~E(f313(f313(f73(x65552),x65551),x65553),f2(x65552))+~P1(f313(f313(f222(x65552),f2(x65552)),x65553))+~P1(f313(f313(f222(x65552),f2(x65552)),x65551))
% 119.46/119.26 [6767]~P1(f313(f313(f273(a883),x67672),x67671))+~P1(f313(f313(f273(a883),x67671),x67673))+P1(f313(f313(f273(a883),x67672),x67673))+P1(f313(f313(f273(a883),x67671),x67672))+P1(f313(f313(f273(a883),x67673),x67671))
% 119.46/119.26 [6947]~P1(f313(f313(f273(a883),x69471),x69473))+~P1(f313(f313(f273(a883),x69473),x69472))+~P1(f313(f313(f273(a883),x69472),x69471))+P1(f313(f313(f273(a883),x69471),x69472))+P1(f313(f313(f273(a883),x69473),x69471))
% 119.46/119.26 [7120]~P4(x71202)+~P13(x71202,x71201)+E(x71201,f104(x71202))+~P1(f313(f313(f315(x71202),x71203),f313(f160(x71202),f722(x71201,x71202))))+P1(f313(f313(f222(x71202),f741(x71201,x71202)),x71203))
% 119.46/119.26 [7291]~P4(x72911)+E(f17(x72911,x72912),x72913)+~P1(f313(f54(x72911),x72912))+~P1(f313(f313(f222(x72911),x72913),f591(x72913,x72912,x72911)))+~P1(f313(f313(f315(x72911),x72913),x72912))
% 119.46/119.26 [7324]~P4(x73241)+~P13(x73241,x73242)+~P13(x73241,x73243)+P13(x73241,f313(f313(f122(x73241),x73242),x73243))+P1(f313(f313(f315(x73241),f728(x73243,x73242,x73241)),f313(f160(x73241),x73242)))
% 119.46/119.26 [7325]~P4(x73251)+~P13(x73251,x73252)+~P13(x73251,x73253)+P13(x73251,f313(f313(f122(x73251),x73252),x73253))+P1(f313(f313(f315(x73251),f729(x73253,x73252,x73251)),f313(f160(x73251),x73253)))
% 119.46/119.26 [7390]~P4(x73901)+E(f16(x73901,x73902),x73903)+~P1(f313(f54(x73901),x73902))+P1(f313(f313(f315(x73901),f592(x73903,x73902,x73901)),x73902))+~P1(f313(f313(f315(x73901),x73903),x73902))
% 119.46/119.26 [7391]~P4(x73911)+E(f17(x73911,x73912),x73913)+~P1(f313(f54(x73911),x73912))+P1(f313(f313(f315(x73911),f591(x73913,x73912,x73911)),x73912))+~P1(f313(f313(f315(x73911),x73913),x73912))
% 119.46/119.26 [7971]~P4(x79711)+E(f16(x79711,x79712),x79713)+~P1(f313(f54(x79711),x79712))+~P1(f313(f313(f315(x79711),x79713),x79712))+~P1(f313(f313(f222(x79711),f592(x79713,x79712,x79711)),x79713))
% 119.46/119.26 [8288]~P4(x82881)+~P13(x82881,x82882)+~P13(x82881,x82883)+P13(x82881,f313(f313(f122(x82881),x82882),x82883))+~P1(f313(f313(f222(x82881),f728(x82883,x82882,x82881)),f729(x82883,x82882,x82881)))
% 119.46/119.26 [9055]~P103(x90552)+E(x90551,f178(f890(x90552,a881)))+~E(f313(f313(f92(x90552),f313(x90553,f432(x90551,x90553,x90552))),f313(x90553,f438(x90551,x90553,x90552))),f313(x90553,f313(f313(f92(x90552),f432(x90551,x90553,x90552)),f438(x90551,x90553,x90552))))+E(f15(x90552,f313(f296(x90552,x90552,x90553),x90551)),f313(x90553,f15(x90552,x90551)))+~P1(f313(f54(x90552),x90551))
% 119.46/119.26 [9056]~P4(x90562)+E(x90561,f178(f890(x90562,a881)))+~E(f313(f313(f177(x90562),f313(x90563,f433(x90561,x90563,x90562))),f313(x90563,f435(x90561,x90563,x90562))),f313(x90563,f313(f313(f177(x90562),f433(x90561,x90563,x90562)),f435(x90561,x90563,x90562))))+E(f16(x90562,f313(f296(x90562,x90562,x90563),x90561)),f313(x90563,f16(x90562,x90561)))+~P1(f313(f54(x90562),x90561))
% 119.46/119.26 [9057]~P4(x90572)+E(x90571,f178(f890(x90572,a881)))+~E(f313(f313(f227(x90572),f313(x90573,f436(x90571,x90573,x90572))),f313(x90573,f437(x90571,x90573,x90572))),f313(x90573,f313(f313(f227(x90572),f436(x90571,x90573,x90572)),f437(x90571,x90573,x90572))))+E(f17(x90572,f313(f296(x90572,x90572,x90573),x90571)),f313(x90573,f17(x90572,x90571)))+~P1(f313(f54(x90572),x90571))
% 119.46/119.26 [9058]~P103(x90582)+E(x90581,f178(f890(x90582,a881)))+~E(f313(f313(f93(x90582),f313(x90583,f482(x90581,x90583,x90582))),f313(x90583,f484(x90581,x90583,x90582))),f313(x90583,f313(f313(f93(x90582),f482(x90581,x90583,x90582)),f484(x90581,x90583,x90582))))+E(f12(x90582,f313(f296(x90582,x90582,x90583),x90581)),f313(x90583,f12(x90582,x90581)))+~P1(f313(f54(x90582),x90581))
% 119.46/119.26 [9126]~P4(x91262)+E(x91261,f178(f890(x91262,a881)))+~E(f313(f313(f177(x91262),f313(x91263,f425(x91261,x91263,x91262))),f313(x91263,f428(x91261,x91263,x91262))),f313(x91263,f313(f313(f177(x91262),f425(x91261,x91263,x91262)),f428(x91261,x91263,x91262))))+E(f13(x91262,f177(x91262),f313(f296(x91262,x91262,x91263),x91261)),f313(x91263,f13(x91262,f177(x91262),x91261)))+~P1(f313(f54(x91262),x91261))
% 119.46/119.26 [9127]~P4(x91272)+E(x91271,f178(f890(x91272,a881)))+~E(f313(f313(f227(x91272),f313(x91273,f429(x91271,x91273,x91272))),f313(x91273,f434(x91271,x91273,x91272))),f313(x91273,f313(f313(f227(x91272),f429(x91271,x91273,x91272)),f434(x91271,x91273,x91272))))+E(f14(x91272,f227(x91272),f313(f296(x91272,x91272,x91273),x91271)),f313(x91273,f14(x91272,f227(x91272),x91271)))+~P1(f313(f54(x91272),x91271))
% 119.46/119.26 [6163]~P103(x61632)+E(x61631,f178(f890(x61632,a881)))+~P1(f313(f54(x61632),x61631))+E(f15(x61632,f313(f313(f295(x61632),x61633),x61631)),f313(f313(f92(x61632),x61633),f15(x61632,x61631)))+P1(f313(f313(f315(x61632),x61633),x61631))
% 119.46/119.26 [6164]~P4(x61642)+E(x61641,f178(f890(x61642,a881)))+~P1(f313(f54(x61642),x61641))+E(f16(x61642,f313(f313(f295(x61642),x61643),x61641)),f313(f313(f177(x61642),x61643),f16(x61642,x61641)))+P1(f313(f313(f315(x61642),x61643),x61641))
% 119.46/119.26 [6165]~P4(x61652)+E(x61651,f178(f890(x61652,a881)))+~P1(f313(f54(x61652),x61651))+E(f17(x61652,f313(f313(f295(x61652),x61653),x61651)),f313(f313(f227(x61652),x61653),f17(x61652,x61651)))+P1(f313(f313(f315(x61652),x61653),x61651))
% 119.46/119.26 [6166]~P103(x61662)+E(x61661,f178(f890(x61662,a881)))+~P1(f313(f54(x61662),x61661))+E(f12(x61662,f313(f313(f295(x61662),x61663),x61661)),f313(f313(f93(x61662),x61663),f12(x61662,x61661)))+P1(f313(f313(f315(x61662),x61663),x61661))
% 119.46/119.26 [6571]~P64(x65712)+E(x65711,f178(f890(x65712,a881)))+~P1(f313(f54(x65712),x65711))+E(f313(f56(x65712,f74(x65712)),f313(f313(f295(x65712),x65713),x65711)),f313(f313(f74(x65712),x65713),f313(f56(x65712,f74(x65712)),x65711)))+P1(f313(f313(f315(x65712),x65713),x65711))
% 119.46/119.26 [6666]~P4(x66662)+E(x66661,f178(f890(x66662,a881)))+~P1(f313(f54(x66662),x66661))+E(f13(x66662,f177(x66662),f313(f313(f295(x66662),x66663),x66661)),f313(f313(f177(x66662),x66663),f13(x66662,f177(x66662),x66661)))+P1(f313(f313(f315(x66662),x66663),x66661))
% 119.46/119.26 [6667]~P4(x66672)+E(x66671,f178(f890(x66672,a881)))+~P1(f313(f54(x66672),x66671))+E(f14(x66672,f227(x66672),f313(f313(f295(x66672),x66673),x66671)),f313(f313(f227(x66672),x66673),f14(x66672,f227(x66672),x66671)))+P1(f313(f313(f315(x66672),x66673),x66671))
% 119.46/119.26 [7126]~P4(x71262)+E(f313(f313(f227(x71262),f17(x71262,x71261)),f17(x71262,x71263)),f17(x71262,x71263))+E(x71261,f178(f890(x71262,a881)))+~P1(f313(f54(x71262),x71263))+~P1(f313(f313(f222(f890(x71262,a881)),x71261),x71263))
% 119.46/119.26 [7127]~P4(x71272)+E(f313(f313(f177(x71272),f16(x71272,x71271)),f16(x71272,x71273)),f16(x71272,x71273))+E(x71271,f178(f890(x71272,a881)))+~P1(f313(f54(x71272),x71273))+~P1(f313(f313(f222(f890(x71272,a881)),x71271),x71273))
% 119.46/119.26 [7128]~P103(x71282)+E(f313(f313(f92(x71282),f15(x71282,x71281)),f15(x71282,x71283)),f15(x71282,x71283))+E(x71281,f178(f890(x71282,a881)))+~P1(f313(f54(x71282),x71283))+~P1(f313(f313(f222(f890(x71282,a881)),x71281),x71283))
% 119.46/119.26 [7129]~P103(x71292)+E(f313(f313(f93(x71292),f12(x71292,x71291)),f12(x71292,x71293)),f12(x71292,x71293))+E(x71291,f178(f890(x71292,a881)))+~P1(f313(f54(x71292),x71293))+~P1(f313(f313(f222(f890(x71292,a881)),x71291),x71293))
% 119.46/119.26 [7441]~P4(x74412)+E(x74411,f178(f890(x74412,a881)))+~P1(f313(f54(x74412),x74413))+P1(f313(f313(f222(x74412),f16(x74412,x74411)),f16(x74412,x74413)))+~P1(f313(f313(f222(f890(x74412,a881)),x74411),x74413))
% 119.46/119.26 [7442]~P4(x74422)+E(x74421,f178(f890(x74422,a881)))+~P1(f313(f54(x74422),x74423))+P1(f313(f313(f222(x74422),f17(x74422,x74423)),f17(x74422,x74421)))+~P1(f313(f313(f222(f890(x74422,a881)),x74421),x74423))
% 119.46/119.26 [7496]~P103(x74961)+E(f15(x74961,x74962),x74963)+~P1(f313(f54(x74961),x74962))+~E(f313(f313(f3(f890(x74961,a881)),x74962),f313(f313(f295(x74961),x74963),f178(f890(x74961,a881)))),f178(f890(x74961,a881)))+~P1(f313(f313(f315(x74961),x74963),x74962))
% 119.46/119.26 [7497]~P4(x74971)+E(f16(x74971,x74972),x74973)+~P1(f313(f54(x74971),x74972))+~E(f313(f313(f3(f890(x74971,a881)),x74972),f313(f313(f295(x74971),x74973),f178(f890(x74971,a881)))),f178(f890(x74971,a881)))+~P1(f313(f313(f315(x74971),x74973),x74972))
% 119.46/119.26 [7498]~P4(x74981)+E(f17(x74981,x74982),x74983)+~P1(f313(f54(x74981),x74982))+~E(f313(f313(f3(f890(x74981,a881)),x74982),f313(f313(f295(x74981),x74983),f178(f890(x74981,a881)))),f178(f890(x74981,a881)))+~P1(f313(f313(f315(x74981),x74983),x74982))
% 119.46/119.26 [7499]~P103(x74991)+E(f12(x74991,x74992),x74993)+~P1(f313(f54(x74991),x74992))+~E(f313(f313(f3(f890(x74991,a881)),x74992),f313(f313(f295(x74991),x74993),f178(f890(x74991,a881)))),f178(f890(x74991,a881)))+~P1(f313(f313(f315(x74991),x74993),x74992))
% 119.46/119.26 [7597]~P4(x75971)+E(f13(x75971,f177(x75971),x75972),x75973)+~P1(f313(f54(x75971),x75972))+~E(f313(f313(f3(f890(x75971,a881)),x75972),f313(f313(f295(x75971),x75973),f178(f890(x75971,a881)))),f178(f890(x75971,a881)))+~P1(f313(f313(f315(x75971),x75973),x75972))
% 119.46/119.26 [7598]~P4(x75981)+E(f14(x75981,f227(x75981),x75982),x75983)+~P1(f313(f54(x75981),x75982))+~E(f313(f313(f3(f890(x75981,a881)),x75982),f313(f313(f295(x75981),x75983),f178(f890(x75981,a881)))),f178(f890(x75981,a881)))+~P1(f313(f313(f315(x75981),x75983),x75982))
% 119.46/119.26 [7633]~P4(x76332)+E(x76331,f178(f890(x76332,a881)))+~P1(f313(f54(x76332),x76331))+~P1(f313(f313(f222(x76332),x76333),f506(x76333,x76331,x76332)))+P1(f313(f313(f222(x76332),x76333),f313(f56(x76332,f227(x76332)),x76331)))
% 119.46/119.26 [7634]~P108(x76342)+E(x76341,f178(f890(x76342,a881)))+~P1(f313(f54(x76342),x76341))+~P1(f313(f313(f222(x76342),x76343),f507(x76343,x76341,x76342)))+P1(f313(f313(f222(x76342),x76343),f313(f56(x76342,f93(x76342)),x76341)))
% 119.46/119.26 [7635]~P4(x76352)+E(x76351,f178(f890(x76352,a881)))+~P1(f313(f54(x76352),x76351))+~P1(f313(f313(f223(x76352),x76353),f509(x76353,x76351,x76352)))+P1(f313(f313(f223(x76352),x76353),f313(f56(x76352,f227(x76352)),x76351)))
% 119.46/119.26 [7722]~P108(x77222)+E(x77221,f178(f890(x77222,a881)))+~P1(f313(f54(x77222),x77221))+P1(f313(f313(f315(x77222),f507(x77223,x77221,x77222)),x77221))+P1(f313(f313(f222(x77222),x77223),f313(f56(x77222,f93(x77222)),x77221)))
% 119.46/119.26 [7723]~P4(x77232)+E(x77231,f178(f890(x77232,a881)))+~P1(f313(f54(x77232),x77231))+P1(f313(f313(f315(x77232),f506(x77233,x77231,x77232)),x77231))+P1(f313(f313(f222(x77232),x77233),f313(f56(x77232,f227(x77232)),x77231)))
% 119.46/119.26 [7724]~P4(x77242)+E(x77241,f178(f890(x77242,a881)))+~P1(f313(f54(x77242),x77241))+P1(f313(f313(f315(x77242),f509(x77243,x77241,x77242)),x77241))+P1(f313(f313(f223(x77242),x77243),f313(f56(x77242,f227(x77242)),x77241)))
% 119.46/119.26 [7846]~P4(x78462)+E(x78461,f178(f890(x78462,a881)))+E(f313(f313(f227(x78462),f14(x78462,f227(x78462),x78461)),f14(x78462,f227(x78462),x78463)),f14(x78462,f227(x78462),x78463))+~P1(f313(f54(x78462),x78463))+~P1(f313(f313(f222(f890(x78462,a881)),x78461),x78463))
% 119.46/119.26 [7847]~P4(x78472)+E(x78471,f178(f890(x78472,a881)))+E(f313(f313(f177(x78472),f13(x78472,f177(x78472),x78471)),f13(x78472,f177(x78472),x78473)),f13(x78472,f177(x78472),x78473))+~P1(f313(f54(x78472),x78473))+~P1(f313(f313(f222(f890(x78472,a881)),x78471),x78473))
% 119.46/119.26 [8047]~E(f636(x80471,x80473,x80472),f637(x80471,x80473,x80472))+~E(f313(f28(x80472),f638(x80471,x80473,x80472)),x80471)+E(f313(f313(f74(a883),x80471),f313(f28(f890(x80472,a881)),x80473)),f313(f28(x80472),f30(f890(x80472,a881),x80473)))+~P1(f313(f54(x80472),f30(f890(x80472,a881),x80473)))+~P1(f313(f54(f890(x80472,a881)),x80473))
% 119.46/119.26 [8228]~P4(x82282)+E(x82281,f178(f890(x82282,a881)))+~P1(f313(f54(x82282),x82283))+P1(f313(f313(f222(x82282),f313(f56(x82282,f227(x82282)),x82283)),f313(f56(x82282,f227(x82282)),x82281)))+~P1(f313(f313(f222(f890(x82282,a881)),x82281),x82283))
% 119.46/119.26 [8526]~E(f636(x85261,x85263,x85262),f637(x85261,x85263,x85262))+E(f313(f313(f74(a883),x85261),f313(f28(f890(x85262,a881)),x85263)),f313(f28(x85262),f30(f890(x85262,a881),x85263)))+P1(f313(f313(f315(f890(x85262,a881)),f638(x85261,x85263,x85262)),x85263))+~P1(f313(f54(x85262),f30(f890(x85262,a881),x85263)))+~P1(f313(f54(f890(x85262,a881)),x85263))
% 119.46/119.26 [8552]~E(f313(f28(x85522),f638(x85521,x85523,x85522)),x85521)+E(f313(f313(f74(a883),x85521),f313(f28(f890(x85522,a881)),x85523)),f313(f28(x85522),f30(f890(x85522,a881),x85523)))+P1(f313(f313(f315(f890(x85522,a881)),f637(x85521,x85523,x85522)),x85523))+~P1(f313(f54(x85522),f30(f890(x85522,a881),x85523)))+~P1(f313(f54(f890(x85522,a881)),x85523))
% 119.46/119.26 [8553]~E(f313(f28(x85532),f638(x85531,x85533,x85532)),x85531)+E(f313(f313(f74(a883),x85531),f313(f28(f890(x85532,a881)),x85533)),f313(f28(x85532),f30(f890(x85532,a881),x85533)))+P1(f313(f313(f315(f890(x85532,a881)),f636(x85531,x85533,x85532)),x85533))+~P1(f313(f54(x85532),f30(f890(x85532,a881),x85533)))+~P1(f313(f54(f890(x85532,a881)),x85533))
% 119.46/119.26 [8580]~E(f313(f28(x85802),f638(x85801,x85803,x85802)),x85801)+~E(f313(f313(f93(f890(x85802,a881)),f637(x85801,x85803,x85802)),f636(x85801,x85803,x85802)),f178(f890(x85802,a881)))+E(f313(f313(f74(a883),x85801),f313(f28(f890(x85802,a881)),x85803)),f313(f28(x85802),f30(f890(x85802,a881),x85803)))+~P1(f313(f54(f890(x85802,a881)),x85803))+~P1(f313(f54(x85802),f30(f890(x85802,a881),x85803)))
% 119.46/119.26 [8821]E(f313(f313(f74(a883),x88211),f313(f28(f890(x88212,a881)),x88213)),f313(f28(x88212),f30(f890(x88212,a881),x88213)))+P1(f313(f313(f315(f890(x88212,a881)),f638(x88211,x88213,x88212)),x88213))+P1(f313(f313(f315(f890(x88212,a881)),f637(x88211,x88213,x88212)),x88213))+~P1(f313(f54(f890(x88212,a881)),x88213))+~P1(f313(f54(x88212),f30(f890(x88212,a881),x88213)))
% 119.46/119.26 [8822]E(f313(f313(f74(a883),x88221),f313(f28(f890(x88222,a881)),x88223)),f313(f28(x88222),f30(f890(x88222,a881),x88223)))+P1(f313(f313(f315(f890(x88222,a881)),f638(x88221,x88223,x88222)),x88223))+P1(f313(f313(f315(f890(x88222,a881)),f636(x88221,x88223,x88222)),x88223))+~P1(f313(f54(f890(x88222,a881)),x88223))+~P1(f313(f54(x88222),f30(f890(x88222,a881),x88223)))
% 119.46/119.26 [8846]~E(f313(f313(f93(f890(x88462,a881)),f637(x88461,x88463,x88462)),f636(x88461,x88463,x88462)),f178(f890(x88462,a881)))+E(f313(f313(f74(a883),x88461),f313(f28(f890(x88462,a881)),x88463)),f313(f28(x88462),f30(f890(x88462,a881),x88463)))+~P1(f313(f54(f890(x88462,a881)),x88463))+P1(f313(f313(f315(f890(x88462,a881)),f638(x88461,x88463,x88462)),x88463))+~P1(f313(f54(x88462),f30(f890(x88462,a881),x88463)))
% 119.46/119.26 [9102]~P101(x91022)+E(x91021,f178(f890(x91022,a881)))+~E(f313(f313(f74(x91022),f313(x91023,f523(x91021,x91023,x91022))),f313(x91023,f524(x91021,x91023,x91022))),f313(x91023,f313(f313(f74(x91022),f523(x91021,x91023,x91022)),f524(x91021,x91023,x91022))))+~P1(f313(f54(x91022),x91021))+E(f313(f56(x91022,f74(x91022)),f313(f296(x91022,x91022,x91023),x91021)),f313(x91023,f313(f56(x91022,f74(x91022)),x91021)))
% 119.46/119.26 [10041]P1(f313(f313(x100411,x100412),x100413))+P1(f313(f313(f223(a1),f845(x100411,x100413,x100412)),f846(x100411,x100413,x100412)))+P1(f313(f313(f222(a1),f846(x100411,x100413,x100412)),f2(a1)))+P1(f313(f313(x100411,f845(x100411,x100413,x100412)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f846(x100411,x100413,x100412))))+~P1(f313(f301(f889(a1,a1),a51),f313(f313(f240(a1,a1),x100412),x100413)))
% 119.46/119.26 [10047]P1(f313(f313(x100471,x100472),x100473))+P1(f313(f313(f222(a1),f844(x100471,x100473,x100472)),f2(a1)))+P1(f313(f313(x100471,f843(x100471,x100473,x100472)),f313(f313(f74(a1),f313(f95(a1),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f844(x100471,x100473,x100472))))+P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f843(x100471,x100473,x100472)),f844(x100471,x100473,x100472))))+~P1(f313(f301(f889(a1,a1),a45),f313(f313(f240(a1,a1),x100472),x100473)))
% 119.46/119.26 [8019]~P115(x80191)+~P1(f313(f313(f222(x80191),x80192),f71(x80191)))+~P1(f313(f313(f222(x80191),f2(x80191)),x80192))+~P1(f313(f313(f222(x80191),f2(x80191)),x80193))+P1(f313(f313(f222(x80191),f313(f313(f74(x80191),x80192),x80193)),x80193))
% 119.46/119.26 [8020]~P115(x80201)+~P1(f313(f313(f222(x80201),x80203),f71(x80201)))+~P1(f313(f313(f222(x80201),f2(x80201)),x80203))+~P1(f313(f313(f222(x80201),f2(x80201)),x80202))+P1(f313(f313(f222(x80201),f313(f313(f74(x80201),x80202),x80203)),x80202))
% 119.46/119.26 [8372]~P4(x83722)+E(x83721,f178(f890(x83722,a881)))+~P1(f313(f54(x83722),x83721))+P1(f313(f313(f315(x83722),f508(x83723,x83721,x83722)),x83721))+~P1(f313(f313(f222(x83722),f313(f56(x83722,f227(x83722)),x83721)),x83723))
% 119.46/119.26 [8373]~P4(x83732)+E(x83731,f178(f890(x83732,a881)))+~P1(f313(f54(x83732),x83731))+P1(f313(f313(f315(x83732),f510(x83733,x83731,x83732)),x83731))+~P1(f313(f313(f223(x83732),f313(f56(x83732,f227(x83732)),x83731)),x83733))
% 119.46/119.26 [8374]~P4(x83742)+E(x83741,f178(f890(x83742,a881)))+~P1(f313(f54(x83742),x83741))+P1(f313(f313(f222(x83742),f508(x83743,x83741,x83742)),x83743))+~P1(f313(f313(f222(x83742),f313(f56(x83742,f227(x83742)),x83741)),x83743))
% 119.46/119.26 [8375]~P4(x83752)+E(x83751,f178(f890(x83752,a881)))+~P1(f313(f54(x83752),x83751))+P1(f313(f313(f223(x83752),f510(x83753,x83751,x83752)),x83753))+~P1(f313(f313(f223(x83752),f313(f56(x83752,f227(x83752)),x83751)),x83753))
% 119.46/119.26 [8459]~P1(f313(x84591,x84593))+P1(f313(x84591,f321(x84591,x84592)))+P1(f313(x84591,f873(x84591,x84592)))+~P1(f313(f313(f223(a1),f2(a1)),x84592))+P1(f313(x84591,f313(f313(f3(a1),f873(x84591,x84592)),f313(f313(f74(a1),f879(x84591,x84592)),x84592))))
% 119.46/119.26 [8676]~P1(f313(x86761,x86763))+P1(f313(x86761,f873(x86761,x86762)))+~P1(f313(f313(f223(a1),f2(a1)),x86762))+P1(f313(f313(f315(a1),f321(x86761,x86762)),f289(a1,f71(a1),x86762)))+P1(f313(x86761,f313(f313(f3(a1),f873(x86761,x86762)),f313(f313(f74(a1),f879(x86761,x86762)),x86762))))
% 119.46/119.26 [8868]~P1(f313(x88681,x88683))+~P1(f313(x88681,f873(x88681,x88682)))+P1(f313(x88681,f321(x88681,x88682)))+~P1(f313(f313(f223(a1),f2(a1)),x88682))+~P1(f313(x88681,f313(f313(f3(a1),f873(x88681,x88682)),f313(f313(f74(a1),f879(x88681,x88682)),x88682))))
% 119.46/119.26 [8992]~P1(f313(x89921,x89923))+~P1(f313(x89921,f873(x89921,x89922)))+~P1(f313(f313(f223(a1),f2(a1)),x89922))+P1(f313(f313(f315(a1),f321(x89921,x89922)),f289(a1,f71(a1),x89922)))+~P1(f313(x89921,f313(f313(f3(a1),f873(x89921,x89922)),f313(f313(f74(a1),f879(x89921,x89922)),x89922))))
% 119.46/119.26 [8779]~P103(x87791)+~P1(f313(f54(x87791),x87792))+E(f313(f313(f3(f890(x87791,a881)),x87792),f313(f313(f295(x87791),x87793),f178(f890(x87791,a881)))),f178(f890(x87791,a881)))+~P1(f313(f313(f315(x87791),x87793),x87792))+E(f313(f313(f92(x87791),x87793),f15(x87791,f313(f313(f3(f890(x87791,a881)),x87792),f313(f313(f295(x87791),x87793),f178(f890(x87791,a881)))))),f15(x87791,x87792))
% 119.46/119.26 [8780]~P4(x87801)+~P1(f313(f54(x87801),x87802))+E(f313(f313(f3(f890(x87801,a881)),x87802),f313(f313(f295(x87801),x87803),f178(f890(x87801,a881)))),f178(f890(x87801,a881)))+~P1(f313(f313(f315(x87801),x87803),x87802))+E(f313(f313(f177(x87801),x87803),f16(x87801,f313(f313(f3(f890(x87801,a881)),x87802),f313(f313(f295(x87801),x87803),f178(f890(x87801,a881)))))),f16(x87801,x87802))
% 119.46/119.26 [8781]~P4(x87811)+~P1(f313(f54(x87811),x87812))+E(f313(f313(f3(f890(x87811,a881)),x87812),f313(f313(f295(x87811),x87813),f178(f890(x87811,a881)))),f178(f890(x87811,a881)))+~P1(f313(f313(f315(x87811),x87813),x87812))+E(f313(f313(f227(x87811),x87813),f17(x87811,f313(f313(f3(f890(x87811,a881)),x87812),f313(f313(f295(x87811),x87813),f178(f890(x87811,a881)))))),f17(x87811,x87812))
% 119.46/119.26 [8782]~P103(x87821)+~P1(f313(f54(x87821),x87822))+E(f313(f313(f3(f890(x87821,a881)),x87822),f313(f313(f295(x87821),x87823),f178(f890(x87821,a881)))),f178(f890(x87821,a881)))+~P1(f313(f313(f315(x87821),x87823),x87822))+E(f313(f313(f93(x87821),x87823),f12(x87821,f313(f313(f3(f890(x87821,a881)),x87822),f313(f313(f295(x87821),x87823),f178(f890(x87821,a881)))))),f12(x87821,x87822))
% 119.46/119.26 [8841]~P4(x88411)+~P1(f313(f54(x88411),x88412))+E(f313(f313(f3(f890(x88411,a881)),x88412),f313(f313(f295(x88411),x88413),f178(f890(x88411,a881)))),f178(f890(x88411,a881)))+~P1(f313(f313(f315(x88411),x88413),x88412))+E(f313(f313(f177(x88411),x88413),f13(x88411,f177(x88411),f313(f313(f3(f890(x88411,a881)),x88412),f313(f313(f295(x88411),x88413),f178(f890(x88411,a881)))))),f13(x88411,f177(x88411),x88412))
% 119.46/119.26 [8842]~P4(x88421)+~P1(f313(f54(x88421),x88422))+E(f313(f313(f3(f890(x88421,a881)),x88422),f313(f313(f295(x88421),x88423),f178(f890(x88421,a881)))),f178(f890(x88421,a881)))+~P1(f313(f313(f315(x88421),x88423),x88422))+E(f313(f313(f227(x88421),x88423),f14(x88421,f227(x88421),f313(f313(f3(f890(x88421,a881)),x88422),f313(f313(f295(x88421),x88423),f178(f890(x88421,a881)))))),f14(x88421,f227(x88421),x88422))
% 119.46/119.26 [8855]~P4(x88551)+~P1(f313(f54(x88551),x88553))+~P1(f313(f54(x88551),x88552))+E(f313(f313(f93(f890(x88551,a881)),x88552),x88553),f178(f890(x88551,a881)))+E(f313(f313(f227(x88551),f17(x88551,f313(f313(f92(f890(x88551,a881)),x88552),x88553))),f17(x88551,f313(f313(f93(f890(x88551,a881)),x88552),x88553))),f313(f313(f227(x88551),f17(x88551,x88552)),f17(x88551,x88553)))
% 119.46/119.26 [8856]~P4(x88561)+~P1(f313(f54(x88561),x88563))+~P1(f313(f54(x88561),x88562))+E(f313(f313(f93(f890(x88561,a881)),x88562),x88563),f178(f890(x88561,a881)))+E(f313(f313(f177(x88561),f16(x88561,f313(f313(f92(f890(x88561,a881)),x88562),x88563))),f16(x88561,f313(f313(f93(f890(x88561,a881)),x88562),x88563))),f313(f313(f177(x88561),f16(x88561,x88562)),f16(x88561,x88563)))
% 119.46/119.26 [8857]~P103(x88571)+~P1(f313(f54(x88571),x88573))+~P1(f313(f54(x88571),x88572))+E(f313(f313(f93(f890(x88571,a881)),x88572),x88573),f178(f890(x88571,a881)))+E(f313(f313(f92(x88571),f15(x88571,f313(f313(f92(f890(x88571,a881)),x88572),x88573))),f15(x88571,f313(f313(f93(f890(x88571,a881)),x88572),x88573))),f313(f313(f92(x88571),f15(x88571,x88572)),f15(x88571,x88573)))
% 119.46/119.26 [8858]~P103(x88581)+~P1(f313(f54(x88581),x88583))+~P1(f313(f54(x88581),x88582))+E(f313(f313(f93(f890(x88581,a881)),x88582),x88583),f178(f890(x88581,a881)))+E(f313(f313(f93(x88581),f12(x88581,f313(f313(f92(f890(x88581,a881)),x88582),x88583))),f12(x88581,f313(f313(f93(f890(x88581,a881)),x88582),x88583))),f313(f313(f93(x88581),f12(x88581,x88582)),f12(x88581,x88583)))
% 119.46/119.26 [9074]~P4(x90741)+~P1(f313(f54(x90741),x90743))+~P1(f313(f54(x90741),x90742))+E(f313(f313(f93(f890(x90741,a881)),x90742),x90743),f178(f890(x90741,a881)))+E(f313(f313(f227(x90741),f14(x90741,f227(x90741),f313(f313(f92(f890(x90741,a881)),x90742),x90743))),f14(x90741,f227(x90741),f313(f313(f93(f890(x90741,a881)),x90742),x90743))),f313(f313(f227(x90741),f14(x90741,f227(x90741),x90742)),f14(x90741,f227(x90741),x90743)))
% 119.46/119.26 [9075]~P4(x90751)+~P1(f313(f54(x90751),x90753))+~P1(f313(f54(x90751),x90752))+E(f313(f313(f93(f890(x90751,a881)),x90752),x90753),f178(f890(x90751,a881)))+E(f313(f313(f177(x90751),f13(x90751,f177(x90751),f313(f313(f92(f890(x90751,a881)),x90752),x90753))),f13(x90751,f177(x90751),f313(f313(f93(f890(x90751,a881)),x90752),x90753))),f313(f313(f177(x90751),f13(x90751,f177(x90751),x90752)),f13(x90751,f177(x90751),x90753)))
% 119.46/119.26 [9880]~P114(x98803)+E(x98801,x98802)+~P1(f313(f313(f222(x98803),f2(x98803)),x98802))+~P1(f313(f313(f222(x98803),f2(x98803)),x98801))+~E(f313(f313(f232(x98803),x98801),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))),f313(f313(f232(x98803),x98802),f313(f95(a883),f313(f313(f73(a1),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)),f313(f313(f3(a1),f313(f313(f73(a1),a76),a76)),a88)))))
% 119.46/119.26 [5057]~P99(x50571)+~P70(x50571)+~E(x50574,f2(x50571))+~E(f313(f95(x50571),x50572),f2(x50571))+E(f313(f95(x50571),x50572),f313(f313(f277(x50571),x50573),x50574))
% 119.46/119.26 [5058]~P99(x50581)+~P70(x50581)+~E(x50583,f2(x50581))+~E(f313(f95(x50581),x50584),f2(x50581))+E(f313(f313(f277(x50581),x50582),x50583),f313(f95(x50581),x50584))
% 119.46/119.26 [5152]~P99(x51522)+~P70(x51522)+~E(x51521,f2(x51522))+~E(f313(f95(x51522),x51524),f2(x51522))+E(x51521,f313(f313(f277(x51522),x51523),f313(f95(x51522),x51524)))
% 119.46/119.26 [5153]~P99(x51531)+~P70(x51531)+~E(x51534,f2(x51531))+~E(f313(f95(x51531),x51533),f2(x51531))+E(f313(f313(f277(x51531),x51532),f313(f95(x51531),x51533)),x51534)
% 119.46/119.26 [5185]~P99(x51851)+~P70(x51851)+~E(x51853,f2(x51851))+E(f313(f95(x51851),x51852),f2(x51851))+~E(f313(f95(x51851),x51852),f313(f313(f277(x51851),x51854),x51853))
% 119.46/119.26 [5186]~P99(x51861)+~P70(x51861)+~E(x51863,f2(x51861))+E(f313(f95(x51861),x51862),f2(x51861))+~E(f313(f313(f277(x51861),x51864),x51863),f313(f95(x51861),x51862))
% 119.46/119.26 [5354]~P99(x53542)+~P70(x53542)+E(x53541,f2(x53542))+~E(f313(f95(x53542),x53543),f2(x53542))+~E(x53541,f313(f313(f277(x53542),x53544),f313(f95(x53542),x53543)))
% 119.46/119.26 [5355]~P99(x53552)+~P70(x53552)+E(x53551,f2(x53552))+~E(f313(f95(x53552),x53553),f2(x53552))+~E(f313(f313(f277(x53552),x53554),f313(f95(x53552),x53553)),x53551)
% 119.46/119.26 [5584]~P99(x55842)+~P70(x55842)+~E(x55841,f2(x55842))+E(x55841,f313(f313(f277(x55842),x55843),f313(f95(x55842),x55844)))+~E(f313(f313(f74(x55842),x55841),f313(f95(x55842),x55844)),x55843)
% 119.46/119.26 [5585]~P99(x55851)+~P70(x55851)+~E(x55854,f2(x55851))+~E(x55852,f313(f313(f74(x55851),x55854),f313(f95(x55851),x55853)))+E(f313(f313(f277(x55851),x55852),f313(f95(x55851),x55853)),x55854)
% 119.46/119.26 [5651]~P99(x56511)+~P70(x56511)+E(f313(f95(x56511),x56512),f2(x56511))+~E(f313(f313(f277(x56511),x56513),f313(f95(x56511),x56512)),x56514)+E(x56513,f313(f313(f74(x56511),x56514),f313(f95(x56511),x56512)))
% 119.46/119.26 [5652]~P99(x56521)+~P70(x56521)+E(f313(f95(x56521),x56522),f2(x56521))+~E(f313(f313(f74(x56521),x56523),f313(f95(x56521),x56522)),x56524)+E(x56523,f313(f313(f277(x56521),x56524),f313(f95(x56521),x56522)))
% 119.46/119.26 [5653]~P99(x56531)+~P70(x56531)+E(f313(f95(x56531),x56532),f2(x56531))+~E(x56533,f313(f313(f277(x56531),x56534),f313(f95(x56531),x56532)))+E(f313(f313(f74(x56531),x56533),f313(f95(x56531),x56532)),x56534)
% 119.46/119.26 [5654]~P99(x56541)+~P70(x56541)+E(f313(f95(x56541),x56542),f2(x56541))+~E(x56543,f313(f313(f74(x56541),x56544),f313(f95(x56541),x56542)))+E(f313(f313(f277(x56541),x56543),f313(f95(x56541),x56542)),x56544)
% 119.46/119.26 [5868]~P66(x58682)+E(x58681,f2(x58682))+~E(f313(f313(f29(x58682),x58683),x58681),x58684)+E(x58683,f313(f313(f74(x58682),x58684),x58681))+~P1(f313(f313(f273(x58682),x58681),x58683))
% 119.46/119.26 [5869]~P66(x58692)+E(x58691,f2(x58692))+~E(x58693,f313(f313(f74(x58692),x58694),x58691))+E(f313(f313(f29(x58692),x58693),x58691),x58694)+~P1(f313(f313(f273(x58692),x58691),x58693))
% 119.46/119.26 [6356]E(f364(x63561,x63562,x63563),x63564)+E(f313(x63561,x63564),f2(a883))+~E(f313(f313(f8(x63563,a883),x63561),x63562),f71(a883))+~P1(f313(f54(x63563),x63562))+~P1(f313(f313(f315(x63563),x63564),x63562))
% 119.46/119.26 [6425]E(f366(x64251,x64252,x64253),x64254)+E(f313(x64251,x64254),f2(a883))+~E(f313(f313(f8(x64253,a883),x64251),x64252),f313(a103,f2(a883)))+~P1(f313(f54(x64253),x64252))+~P1(f313(f313(f315(x64253),x64254),x64252))
% 119.46/119.26 [6540]~P4(x65401)+~P5(x65401)+P1(f313(f313(f223(x65401),x65402),f30(x65401,x65403)))+~P1(f313(f313(f223(x65401),x65402),x65404))+~P1(f313(f313(f315(x65401),x65404),x65403))
% 119.46/119.26 [6726]~P4(x67261)+~P5(x67261)+~P1(f313(f313(f223(x67261),x67264),x67263))+P1(f313(f313(f223(x67261),f31(x67261,x67262)),x67263))+~P1(f313(f313(f315(x67261),x67264),x67262))
% 119.46/119.26 [7004]~P114(x70043)+E(x70041,x70042)+~E(f313(f313(f232(x70043),x70041),f313(a103,x70044)),f313(f313(f232(x70043),x70042),f313(a103,x70044)))+~P1(f313(f313(f222(x70043),f2(x70043)),x70042))+~P1(f313(f313(f222(x70043),f2(x70043)),x70041))
% 119.46/119.26 [7219]~E(f369(x72192,x72193,x72191,x72194),x72194)+~E(f313(x72192,x72194),f71(a883))+E(f313(f313(f8(x72191,a883),x72192),x72193),f71(a883))+~P1(f313(f54(x72191),x72193))+~P1(f313(f313(f315(x72191),x72194),x72193))
% 119.46/119.26 [7226]~P137(x72264)+~P120(x72264)+E(f313(x72261,f421(x72261,x72262,x72263,x72264)),f2(x72264))+~E(f313(f313(f11(x72263,x72264),x72261),x72262),f2(x72264))+~P1(f313(f54(x72263),x72262))
% 119.46/119.26 [7314]~E(f367(x73142,x73143,x73141,x73144),x73144)+~E(f313(x73142,x73144),f313(a103,f2(a883)))+E(f313(f313(f8(x73141,a883),x73142),x73143),f313(a103,f2(a883)))+~P1(f313(f54(x73141),x73143))+~P1(f313(f313(f315(x73141),x73144),x73143))
% 119.46/119.26 [8059]~E(f313(x80592,x80594),f71(a883))+~E(f313(x80592,f369(x80592,x80593,x80591,x80594)),f2(a883))+E(f313(f313(f8(x80591,a883),x80592),x80593),f71(a883))+~P1(f313(f54(x80591),x80593))+~P1(f313(f313(f315(x80591),x80594),x80593))
% 119.46/119.26 [8098]~E(f313(x80982,x80984),f313(a103,f2(a883)))+~E(f313(x80982,f367(x80982,x80983,x80981,x80984)),f2(a883))+E(f313(f313(f8(x80981,a883),x80982),x80983),f313(a103,f2(a883)))+~P1(f313(f54(x80981),x80983))+~P1(f313(f313(f315(x80981),x80984),x80983))
% 119.46/119.26 [8183]~P146(x81832)+~P125(x81832)+~P1(f313(x81831,x81834))+~P1(f313(f313(f273(x81832),x81833),f313(f313(f73(x81832),x81834),f2(x81832))))+P1(f313(x81831,f313(f313(f74(x81832),x81833),f859(x81833,x81831,x81832))))
% 119.46/119.26 [8646]~P4(x86461)+~P13(x86461,x86464)+P13(x86461,x86462)+~E(x86462,f313(f313(f139(x86461),x86463),x86464))+~P1(f313(f313(f222(x86461),x86463),f743(x86462,x86461,x86464,x86463)))
% 119.46/119.26 [8680]E(x86801,x86802)+E(f313(f313(f73(a1),f390(x86803,x86802,x86804,x86801)),f391(x86803,x86802,x86804,x86801)),x86801)+~E(f313(f313(f3(a1),x86801),x86804),x86802)+~P1(f313(f313(f223(a1),f2(a1)),x86804))+~P1(f313(f313(f315(a1),x86802),x86803))
% 119.46/119.26 [8681]E(x86811,x86812)+E(f313(f313(f3(a1),f392(x86813,x86812,x86814,x86811)),f393(x86813,x86812,x86814,x86811)),x86811)+~E(f313(f313(f73(a1),x86811),x86814),x86812)+~P1(f313(f313(f223(a1),f2(a1)),x86814))+~P1(f313(f313(f315(a1),x86812),x86813))
% 119.46/119.26 [8853]E(f313(x88531,f816(x88532,x88531,x88533,x88534)),x88532)+P1(f313(f313(f222(a883),x88534),f807(x88532,x88531,x88533,x88534)))+~P1(f313(f313(f222(a1),x88532),f313(x88531,x88533)))+~P1(f313(f313(f223(a883),x88534),x88533))+~P1(f313(f313(f222(a1),f313(x88531,x88534)),x88532))
% 119.46/119.26 [8854]~P4(x88541)+~P13(x88541,x88543)+P13(x88541,x88542)+~E(x88542,f313(f313(f139(x88541),x88544),x88543))+P1(f313(f313(f315(x88541),f743(x88542,x88541,x88543,x88544)),f313(f160(x88541),x88543)))
% 119.46/119.26 [8872]~P137(x88724)+~P120(x88724)+~E(f313(f313(f11(x88721,x88724),x88722),x88723),f2(x88724))+~P1(f313(f54(x88721),x88723))+P1(f313(f313(f315(x88721),f421(x88722,x88723,x88721,x88724)),x88723))
% 119.46/119.26 [8909]~E(f313(x89092,x89094),f71(a883))+E(f313(f313(f8(x89091,a883),x89092),x89093),f71(a883))+~P1(f313(f54(x89091),x89093))+~P1(f313(f313(f315(x89091),x89094),x89093))+P1(f313(f313(f315(x89091),f369(x89092,x89093,x89091,x89094)),x89093))
% 119.46/119.26 [8921]E(x89211,x89212)+~E(f313(f313(f73(a1),x89212),x89214),x89211)+~P1(f313(f313(f223(a1),f2(a1)),x89214))+~P1(f313(f313(f315(a1),x89211),x89213))+P1(f313(f313(f315(a1),f392(x89213,x89211,x89214,x89212)),x89213))
% 119.46/119.26 [8922]E(x89221,x89222)+~E(f313(f313(f3(a1),x89222),x89224),x89221)+~P1(f313(f313(f223(a1),f2(a1)),x89224))+~P1(f313(f313(f315(a1),x89221),x89223))+P1(f313(f313(f315(a1),f390(x89223,x89221,x89224,x89222)),x89223))
% 119.46/119.26 [8924]~E(f313(x89242,x89244),f313(a103,f2(a883)))+E(f313(f313(f8(x89241,a883),x89242),x89243),f313(a103,f2(a883)))+~P1(f313(f54(x89241),x89243))+~P1(f313(f313(f315(x89241),x89244),x89243))+P1(f313(f313(f315(x89241),f367(x89242,x89243,x89241,x89244)),x89243))
% 119.46/119.26 [8929]P61(x89292,x89293,x89294,x89291)+E(x89291,f178(f890(x89292,a881)))+~P1(f313(f54(x89292),x89294))+~P1(f313(f54(x89292),x89291))+P1(f313(f313(f315(x89292),f809(x89293,x89291,x89294,x89292)),x89294))
% 119.46/119.26 [8930]P61(x89302,x89303,x89304,x89301)+E(x89301,f178(f890(x89302,a881)))+~P1(f313(f54(x89302),x89304))+~P1(f313(f54(x89302),x89301))+P1(f313(f313(f315(x89302),f498(x89301,x89304,x89303,x89302)),x89304))
% 119.46/119.26 [8931]P61(x89312,x89313,x89314,x89311)+E(x89311,f178(f890(x89312,a881)))+~P1(f313(f54(x89312),x89314))+~P1(f313(f54(x89312),x89311))+P1(f313(f313(f315(x89312),f810(x89311,x89314,x89313,x89312)),x89314))
% 119.46/119.26 [9004]E(x90041,x90042)+~E(f313(f313(f73(a1),x90042),x90044),x90041)+~P1(f313(f313(f223(a1),f2(a1)),x90044))+~P1(f313(f313(f315(a1),x90041),x90043))+P1(f313(f313(f315(a1),f393(x90043,x90041,x90044,x90042)),f289(a1,f71(a1),x90044)))
% 119.46/119.26 [9005]E(x90051,x90052)+~E(f313(f313(f3(a1),x90052),x90054),x90051)+~P1(f313(f313(f223(a1),f2(a1)),x90054))+~P1(f313(f313(f315(a1),x90051),x90053))+P1(f313(f313(f315(a1),f391(x90053,x90051,x90054,x90052)),f289(a1,f71(a1),x90054)))
% 119.46/119.26 [9080]P1(f313(f313(f222(a883),x90801),f816(x90802,x90803,x90804,x90801)))+~P1(f313(f313(f222(a1),x90802),f313(x90803,x90804)))+P1(f313(f313(f222(a883),x90801),f807(x90802,x90803,x90804,x90801)))+~P1(f313(f313(f223(a883),x90801),x90804))+~P1(f313(f313(f222(a1),f313(x90803,x90801)),x90802))
% 119.46/119.26 [9193]E(f313(x91931,f816(x91932,x91931,x91933,x91934)),x91932)+~P1(f313(f313(f222(a1),x91932),f313(x91931,x91933)))+P1(f313(f313(f223(a883),f807(x91932,x91931,x91933,x91934)),x91933))+~P1(f313(f313(f223(a883),x91934),x91933))+~P1(f313(f313(f222(a1),f313(x91931,x91934)),x91932))
% 119.46/119.26 [9305]~P1(f313(f313(f273(a883),x93054),x93051))+~P1(f313(f313(f273(a883),x93054),x93053))+~P1(f313(f313(f273(a883),x93052),x93051))+P1(f313(f313(f273(a883),x93051),x93052))+P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x93053,x93052)),f276(a883,f273(a883),x93054,x93051)))
% 119.46/119.26 [9306]~P1(f313(f313(f273(a883),x93062),x93061))+~P1(f313(f313(f273(a883),x93063),x93064))+~P1(f313(f313(f273(a883),x93062),x93064))+P1(f313(f313(f273(a883),x93061),x93062))+P1(f313(f313(f223(f890(a883,a881)),f276(a883,f273(a883),x93061,x93063)),f276(a883,f273(a883),x93062,x93064)))
% 119.46/119.26 [9323]~P1(f313(f313(f222(a1),x93232),f313(x93233,x93234)))+P1(f313(f313(f222(a883),x93231),f807(x93232,x93233,x93234,x93231)))+P1(f313(f313(f222(a883),f816(x93232,x93233,x93234,x93231)),x93234))+~P1(f313(f313(f223(a883),x93231),x93234))+~P1(f313(f313(f222(a1),f313(x93233,x93231)),x93232))
% 119.46/119.26 [9324]~P1(f313(f313(f222(a1),x93242),f313(x93243,x93244)))+P1(f313(f313(f222(a883),x93241),f816(x93242,x93243,x93244,x93241)))+P1(f313(f313(f223(a883),f807(x93242,x93243,x93244,x93241)),x93244))+~P1(f313(f313(f223(a883),x93241),x93244))+~P1(f313(f313(f222(a1),f313(x93243,x93241)),x93242))
% 119.46/119.26 [9429]~P1(f313(f313(f222(a1),x94291),f313(x94292,x94293)))+P1(f313(f313(f223(a883),f807(x94291,x94292,x94293,x94294)),x94293))+~P1(f313(f313(f223(a883),x94294),x94293))+~P1(f313(f313(f222(a1),f313(x94292,x94294)),x94291))+P1(f313(f313(f222(a883),f816(x94291,x94292,x94293,x94294)),x94293))
% 119.46/119.26 [9522]E(x95221,f178(f890(x95222,a881)))+~P1(f313(f54(x95222),x95224))+~P1(f313(f54(x95222),x95221))+P1(f313(f313(f315(f889(f890(x95222,a881),f890(x95222,a881))),f313(f313(f240(f890(x95222,a881),f890(x95222,a881)),x95224),x95221)),f304(x95222,x95223)))+P1(f313(f313(f315(x95222),f501(x95223,x95221,x95224,x95222)),x95224))
% 119.46/119.26 [9523]E(x95231,f178(f890(x95232,a881)))+~P1(f313(f54(x95232),x95234))+~P1(f313(f54(x95232),x95231))+P1(f313(f313(f315(f889(f890(x95232,a881),f890(x95232,a881))),f313(f313(f240(f890(x95232,a881),f890(x95232,a881)),x95234),x95231)),f304(x95232,x95233)))+P1(f313(f313(f315(x95232),f593(x95233,x95231,x95234,x95232)),x95234))
% 119.46/119.26 [10195]E(f313(x101951,f816(x101952,x101951,x101953,x101954)),x101952)+~P1(f313(f313(f222(a1),x101952),f313(x101951,x101953)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x101951,f313(f313(f73(a883),f807(x101952,x101951,x101953,x101954)),f71(a883)))),f313(x101951,f807(x101952,x101951,x101953,x101954))))),f71(a1)))+~P1(f313(f313(f223(a883),x101954),x101953))+~P1(f313(f313(f222(a1),f313(x101951,x101954)),x101952))
% 119.46/119.26 [10196]~P1(f313(f313(f222(a1),x101962),f313(x101963,x101964)))+P1(f313(f313(f222(a883),x101961),f816(x101962,x101963,x101964,x101961)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x101963,f313(f313(f73(a883),f807(x101962,x101963,x101964,x101961)),f71(a883)))),f313(x101963,f807(x101962,x101963,x101964,x101961))))),f71(a1)))+~P1(f313(f313(f223(a883),x101961),x101964))+~P1(f313(f313(f222(a1),f313(x101963,x101961)),x101962))
% 119.46/119.26 [10197]~P1(f313(f313(f222(a1),x101971),f313(x101972,x101973)))+~P1(f313(f313(f222(a1),f313(f69(a1),f313(f313(f3(a1),f313(x101972,f313(f313(f73(a883),f807(x101971,x101972,x101973,x101974)),f71(a883)))),f313(x101972,f807(x101971,x101972,x101973,x101974))))),f71(a1)))+~P1(f313(f313(f223(a883),x101974),x101973))+~P1(f313(f313(f222(a1),f313(x101972,x101974)),x101971))+P1(f313(f313(f222(a883),f816(x101971,x101972,x101973,x101974)),x101973))
% 119.46/119.26 [5608]~P99(x56082)+~P70(x56082)+E(x56081,f2(x56082))+~E(f313(f313(f277(x56082),x56083),x56081),f313(f95(x56082),x56084))+E(x56083,f313(f313(f74(x56082),f313(f95(x56082),x56084)),x56081))
% 119.46/119.26 [5609]~P99(x56092)+~P70(x56092)+E(x56091,f2(x56092))+~E(f313(f95(x56092),x56093),f313(f313(f277(x56092),x56094),x56091))+E(f313(f313(f74(x56092),f313(f95(x56092),x56093)),x56091),x56094)
% 119.46/119.26 [5766]~P99(x57662)+~P70(x57662)+E(x57661,f2(x57662))+E(f313(f95(x57662),x57663),f313(f313(f277(x57662),x57664),x57661))+~E(f313(f313(f74(x57662),f313(f95(x57662),x57663)),x57661),x57664)
% 119.46/119.26 [5767]~P99(x57672)+~P70(x57672)+E(x57671,f2(x57672))+E(f313(f313(f277(x57672),x57673),x57671),f313(f95(x57672),x57674))+~E(x57673,f313(f313(f74(x57672),f313(f95(x57672),x57674)),x57671))
% 119.46/119.26 [5904]~P99(x59041)+~P70(x59041)+~E(f313(f95(x59041),x59042),f2(x59041))+E(f313(f95(x59041),x59042),f313(f313(f277(x59041),x59043),x59044))+~E(f313(f313(f74(x59041),f313(f95(x59041),x59042)),x59044),x59043)
% 119.46/119.26 [5905]~P99(x59051)+~P70(x59051)+~E(f313(f95(x59051),x59054),f2(x59051))+E(f313(f313(f277(x59051),x59052),x59053),f313(f95(x59051),x59054))+~E(x59052,f313(f313(f74(x59051),f313(f95(x59051),x59054)),x59053))
% 119.46/119.26 [7277]~P72(x72771)+P1(f313(f313(f223(x72771),x72772),f2(x72771)))+~P1(f313(f313(f222(x72771),x72773),f2(x72771)))+P1(f313(f313(f223(x72771),f2(x72771)),x72772))+P1(f313(f313(f222(x72771),x72773),f313(f313(f277(x72771),x72774),x72772)))
% 119.46/119.26 [7278]~P72(x72781)+P1(f313(f313(f223(x72781),x72782),f2(x72781)))+~P1(f313(f313(f223(x72781),x72783),f2(x72781)))+P1(f313(f313(f223(x72781),f2(x72781)),x72782))+P1(f313(f313(f223(x72781),x72783),f313(f313(f277(x72781),x72784),x72782)))
% 119.46/119.26 [7533]~P72(x75331)+P1(f313(f313(f222(x75331),x75332),f2(x75331)))+P1(f313(f313(f223(x75331),x75333),f2(x75331)))+P1(f313(f313(f223(x75331),f2(x75331)),x75333))+~P1(f313(f313(f222(x75331),x75332),f313(f313(f277(x75331),x75334),x75333)))
% 119.46/119.26 [7534]~P72(x75341)+P1(f313(f313(f223(x75341),x75342),f2(x75341)))+P1(f313(f313(f223(x75341),x75343),f2(x75341)))+P1(f313(f313(f223(x75341),f2(x75341)),x75343))+~P1(f313(f313(f223(x75341),x75342),f313(f313(f277(x75341),x75344),x75343)))
% 119.46/119.26 [7653]E(x76531,x76532)+~E(f313(f313(f152(x76533),x76534),x76531),f313(f313(f152(x76533),x76534),x76532))+~P1(f313(f125(x76533),x76534))+~P1(f313(f313(f223(a883),x76532),f313(f179(f885(x76533)),x76534)))+~P1(f313(f313(f223(a883),x76531),f313(f179(f885(x76533)),x76534)))
% 119.46/119.26 [7654]E(x76541,x76542)+~E(f313(f313(f152(x76543),x76544),x76541),f313(f313(f152(x76543),x76544),x76542))+~P1(f313(f125(x76543),x76544))+~P1(f313(f313(f223(a883),x76542),f313(f179(f885(x76543)),x76544)))+~P1(f313(f313(f223(a883),x76541),f313(f179(f885(x76543)),x76544)))
% 119.46/119.26 [8021]~P72(x80211)+~P1(f313(f313(f222(x80211),x80213),f2(x80211)))+P1(f313(f313(f223(x80211),f2(x80211)),x80212))+~P1(f313(f313(f222(x80211),x80214),f313(f313(f74(x80211),x80213),x80212)))+P1(f313(f313(f222(x80211),x80213),f313(f313(f277(x80211),x80214),x80212)))
% 119.46/119.26 [8022]~P72(x80221)+~P1(f313(f313(f223(x80221),x80223),f2(x80221)))+P1(f313(f313(f223(x80221),f2(x80221)),x80222))+~P1(f313(f313(f223(x80221),x80224),f313(f313(f74(x80221),x80223),x80222)))+P1(f313(f313(f223(x80221),x80223),f313(f313(f277(x80221),x80224),x80222)))
% 119.46/119.26 [8023]~P72(x80231)+~P1(f313(f313(f223(x80231),x80232),f2(x80231)))+P1(f313(f313(f223(x80231),f2(x80231)),x80232))+~P1(f313(f313(f222(x80231),x80234),f313(f313(f74(x80231),x80233),x80232)))+P1(f313(f313(f222(x80231),x80233),f313(f313(f277(x80231),x80234),x80232)))
% 119.46/119.26 [8024]~P72(x80241)+~P1(f313(f313(f223(x80241),x80242),f2(x80241)))+P1(f313(f313(f223(x80241),f2(x80241)),x80242))+~P1(f313(f313(f222(x80241),x80244),f313(f313(f277(x80241),x80243),x80242)))+P1(f313(f313(f222(x80241),x80243),f313(f313(f74(x80241),x80244),x80242)))
% 119.46/119.26 [8025]~P72(x80251)+~P1(f313(f313(f223(x80251),x80252),f2(x80251)))+P1(f313(f313(f223(x80251),f2(x80251)),x80252))+~P1(f313(f313(f223(x80251),x80254),f313(f313(f74(x80251),x80253),x80252)))+P1(f313(f313(f223(x80251),x80253),f313(f313(f277(x80251),x80254),x80252)))
% 119.46/119.26 [8026]~P72(x80261)+~P1(f313(f313(f223(x80261),x80262),f2(x80261)))+P1(f313(f313(f223(x80261),f2(x80261)),x80262))+~P1(f313(f313(f223(x80261),x80264),f313(f313(f277(x80261),x80263),x80262)))+P1(f313(f313(f223(x80261),x80263),f313(f313(f74(x80261),x80264),x80262)))
% 119.46/119.26 [8150]~P66(x81501)+~P1(f313(f313(f273(x81501),x81503),x81504))+~P1(f313(f313(f273(x81501),x81503),x81502))+~P1(f313(f313(f273(x81501),x81502),x81504))+P1(f313(f313(f273(x81501),f313(f313(f29(x81501),x81502),x81503)),f313(f313(f29(x81501),x81504),x81503)))
% 119.46/119.26 [8164]~P4(x81641)+~P13(x81641,x81642)+~P1(f313(f313(f222(a883),x81643),x81644))+P1(f313(f313(f222(x81641),f313(f313(f152(x81641),x81642),x81643)),f313(f313(f152(x81641),x81642),x81644)))+~P1(f313(f313(f223(a883),x81644),f313(f179(f885(x81641)),x81642)))
% 119.46/119.26 [8165]~P4(x81651)+~P13(x81651,x81652)+~P1(f313(f313(f222(a883),x81653),x81654))+P1(f313(f313(f222(x81651),f313(f313(f152(x81651),x81652),x81653)),f313(f313(f152(x81651),x81652),x81654)))+~P1(f313(f313(f223(a883),x81654),f313(f179(f885(x81651)),x81652)))
% 119.46/119.26 [8219]~P114(x82191)+~P1(f313(f313(f222(x82191),x82192),f71(x82191)))+~P1(f313(f313(f222(x82191),f2(x82191)),x82192))+~P1(f313(f313(f222(a883),x82194),x82193))+P1(f313(f313(f222(x82191),f313(f313(f232(x82191),x82192),x82193)),f313(f313(f232(x82191),x82192),x82194)))
% 119.46/119.26 [8220]~P114(x82201)+~P1(f313(f313(f223(x82201),x82202),f71(x82201)))+~P1(f313(f313(f223(x82201),f2(x82201)),x82202))+~P1(f313(f313(f223(a883),x82204),x82203))+P1(f313(f313(f223(x82201),f313(f313(f232(x82201),x82202),x82203)),f313(f313(f232(x82201),x82202),x82204)))
% 119.46/119.26 [8221]~P114(x82211)+~P1(f313(f313(f222(x82211),f2(x82211)),x82212))+~P1(f313(f313(f223(a883),f2(a883)),x82213))+~P1(f313(f313(f223(x82211),x82212),x82214))+P1(f313(f313(f223(x82211),f313(f313(f232(x82211),x82212),x82213)),f313(f313(f232(x82211),x82214),x82213)))
% 119.46/119.26 [8239]~P4(x82391)+~P13(x82391,f313(f156(x82391),x82392))+~P1(f313(f313(f222(a883),x82394),x82393))+P1(f313(f313(f222(x82391),f313(f313(f152(x82391),x82392),x82393)),f313(f313(f152(x82391),x82392),x82394)))+~P1(f313(f313(f223(a883),x82393),f313(f179(f885(x82391)),x82392)))
% 119.46/119.26 [8466]~P66(x84661)+P1(f313(f313(f273(x84661),x84662),x84663))+~P1(f313(f313(f273(x84661),x84664),x84663))+~P1(f313(f313(f273(x84661),x84664),x84662))+~P1(f313(f313(f273(x84661),f313(f313(f29(x84661),x84662),x84664)),f313(f313(f29(x84661),x84663),x84664)))
% 119.46/119.26 [8481]~P72(x84811)+~P1(f313(f313(f222(x84811),x84812),f2(x84811)))+~P1(f313(f313(f222(x84811),x84813),x84814))+~P1(f313(f313(f223(x84811),f2(x84811)),f313(f313(f74(x84811),x84813),x84814)))+P1(f313(f313(f222(x84811),f313(f313(f277(x84811),x84812),x84813)),f313(f313(f277(x84811),x84812),x84814)))
% 119.46/119.26 [8482]~P73(x84821)+~P1(f313(f313(f223(x84821),x84822),f2(x84821)))+~P1(f313(f313(f223(x84821),x84823),x84824))+~P1(f313(f313(f223(x84821),f2(x84821)),f313(f313(f74(x84821),x84823),x84824)))+P1(f313(f313(f223(x84821),f313(f313(f277(x84821),x84822),x84823)),f313(f313(f277(x84821),x84822),x84824)))
% 119.46/119.26 [8491]~P73(x84911)+~P1(f313(f313(f222(x84911),x84914),x84913))+~P1(f313(f313(f222(x84911),f2(x84911)),x84912))+~P1(f313(f313(f223(x84911),f2(x84911)),f313(f313(f74(x84911),x84913),x84914)))+P1(f313(f313(f222(x84911),f313(f313(f277(x84911),x84912),x84913)),f313(f313(f277(x84911),x84912),x84914)))
% 119.46/119.26 [8492]~P73(x84921)+~P1(f313(f313(f223(x84921),x84924),x84923))+~P1(f313(f313(f223(x84921),f2(x84921)),x84922))+~P1(f313(f313(f223(x84921),f2(x84921)),f313(f313(f74(x84921),x84923),x84924)))+P1(f313(f313(f223(x84921),f313(f313(f277(x84921),x84922),x84923)),f313(f313(f277(x84921),x84922),x84924)))
% 119.46/119.26 [8596]P1(f313(x85961,x85962))+~P1(f313(f54(x85964),x85962))+P1(f313(x85961,f445(x85961,x85963,x85962,x85964)))+~P1(f313(x85961,f178(f890(x85964,a881))))+~P1(f313(f313(f222(f890(x85964,a881)),x85962),x85963))
% 119.46/119.26 [8604]P1(f313(x86041,x86042))+P1(f313(f54(x86043),f445(x86041,x86044,x86042,x86043)))+~P1(f313(f54(x86043),x86042))+~P1(f313(x86041,f178(f890(x86043,a881))))+~P1(f313(f313(f222(f890(x86043,a881)),x86042),x86044))
% 119.46/119.26 [8848]E(f313(f313(f73(a1),f394(x88481,x88482,x88483,x88484)),f395(x88481,x88482,x88483,x88484)),x88484)+~P1(f313(f313(f223(a1),f2(a1)),x88483))+~P1(f313(f313(f223(a1),x88482),x88484))+~P1(f313(f313(f315(a1),x88482),x88481))+P1(f313(f313(f223(a1),x88482),f313(f313(f3(a1),x88484),x88483)))
% 119.46/119.26 [9061]~P1(f313(f313(f223(a1),f2(a1)),x90613))+~P1(f313(f313(f223(a1),x90612),x90614))+~P1(f313(f313(f315(a1),x90612),x90611))+P1(f313(f313(f315(a1),f394(x90611,x90612,x90613,x90614)),x90611))+P1(f313(f313(f223(a1),x90612),f313(f313(f3(a1),x90614),x90613)))
% 119.46/119.26 [9073]P1(f313(x90731,x90732))+~P1(f313(f54(x90733),x90732))+P1(f313(f313(f315(x90733),f446(x90731,x90734,x90732,x90733)),x90734))+~P1(f313(x90731,f178(f890(x90733,a881))))+~P1(f313(f313(f222(f890(x90733,a881)),x90732),x90734))
% 119.46/119.26 [9090]E(f313(f313(f73(a1),f381(x90901,x90902,x90903,x90904)),f382(x90901,x90902,x90903,x90904)),x90904)+~P1(f313(f313(f223(a1),f2(a1)),x90903))+~P1(f313(f313(f222(a1),x90902),x90904))+P1(f313(f313(f222(a1),x90902),f313(f313(f3(a1),x90904),x90903)))+~P1(f313(f313(f315(a1),f313(f313(f3(a1),x90902),f71(a1))),x90901))
% 119.46/119.26 [9143]~P1(f313(f313(f223(a1),f2(a1)),x91433))+~P1(f313(f313(f223(a1),x91431),x91432))+~P1(f313(f313(f315(a1),x91431),x91434))+P1(f313(f313(f315(a1),f395(x91434,x91431,x91433,x91432)),f289(a1,f71(a1),x91433)))+P1(f313(f313(f223(a1),x91431),f313(f313(f3(a1),x91432),x91433)))
% 119.46/119.26 [9169]~P79(x91692)+~E(f792(x91693,x91694,x91691,x91692),f793(x91693,x91694,x91691,x91692))+~P1(f313(f54(x91691),f794(x91693,x91694,x91691,x91692)))+E(f313(f313(f8(f890(x91691,a881),x91692),f313(f8(x91691,x91692),x91693)),x91694),f313(f313(f8(x91691,x91692),x91693),f30(f890(x91691,a881),x91694)))+~P1(f313(f54(f890(x91691,a881)),x91694))
% 119.46/119.26 [9173]~P79(x91732)+~E(f313(x91733,f795(x91733,x91734,x91731,x91732)),f2(x91732))+~P1(f313(f54(x91731),f794(x91733,x91734,x91731,x91732)))+E(f313(f313(f8(f890(x91731,a881),x91732),f313(f8(x91731,x91732),x91733)),x91734),f313(f313(f8(x91731,x91732),x91733),f30(f890(x91731,a881),x91734)))+~P1(f313(f54(f890(x91731,a881)),x91734))
% 119.46/119.26 [9238]~P1(f313(f313(f223(a1),f2(a1)),x92383))+~P1(f313(f313(f222(a1),x92382),x92384))+P1(f313(f313(f315(a1),f381(x92381,x92382,x92383,x92384)),x92381))+P1(f313(f313(f222(a1),x92382),f313(f313(f3(a1),x92384),x92383)))+~P1(f313(f313(f315(a1),f313(f313(f3(a1),x92382),f71(a1))),x92381))
% 119.46/119.26 [9279]~P1(f313(f313(f223(a1),f2(a1)),x92793))+~P1(f313(f313(f222(a1),x92791),x92792))+P1(f313(f313(f315(a1),f382(x92794,x92791,x92793,x92792)),f289(a1,f71(a1),x92793)))+P1(f313(f313(f222(a1),x92791),f313(f313(f3(a1),x92792),x92793)))+~P1(f313(f313(f315(a1),f313(f313(f3(a1),x92791),f71(a1))),x92794))
% 119.46/119.26 [9301]~P79(x93012)+~E(f792(x93013,x93014,x93011,x93012),f793(x93013,x93014,x93011,x93012))+E(f313(f313(f8(f890(x93011,a881),x93012),f313(f8(x93011,x93012),x93013)),x93014),f313(f313(f8(x93011,x93012),x93013),f30(f890(x93011,a881),x93014)))+P1(f313(f313(f315(f890(x93011,a881)),f794(x93013,x93014,x93011,x93012)),x93014))+~P1(f313(f54(f890(x93011,a881)),x93014))
% 119.46/119.26 [9308]~P79(x93082)+~E(f313(x93083,f795(x93083,x93084,x93081,x93082)),f2(x93082))+E(f313(f313(f8(f890(x93081,a881),x93082),f313(f8(x93081,x93082),x93083)),x93084),f313(f313(f8(x93081,x93082),x93083),f30(f890(x93081,a881),x93084)))+P1(f313(f313(f315(f890(x93081,a881)),f794(x93083,x93084,x93081,x93082)),x93084))+~P1(f313(f54(f890(x93081,a881)),x93084))
% 119.46/119.26 [9407]~P79(x94072)+~P1(f313(f54(x94071),f794(x94073,x94074,x94071,x94072)))+E(f313(f313(f8(f890(x94071,a881),x94072),f313(f8(x94071,x94072),x94073)),x94074),f313(f313(f8(x94071,x94072),x94073),f30(f890(x94071,a881),x94074)))+P1(f313(f313(f315(f890(x94071,a881)),f793(x94073,x94074,x94071,x94072)),x94074))+~P1(f313(f54(f890(x94071,a881)),x94074))
% 119.46/119.26 [9408]~P79(x94082)+~P1(f313(f54(x94081),f794(x94083,x94084,x94081,x94082)))+E(f313(f313(f8(f890(x94081,a881),x94082),f313(f8(x94081,x94082),x94083)),x94084),f313(f313(f8(x94081,x94082),x94083),f30(f890(x94081,a881),x94084)))+P1(f313(f313(f315(f890(x94081,a881)),f792(x94083,x94084,x94081,x94082)),x94084))+~P1(f313(f54(f890(x94081,a881)),x94084))
% 119.46/119.26 [9486]~P79(x94862)+E(f313(f313(f8(f890(x94861,a881),x94862),f313(f8(x94861,x94862),x94863)),x94864),f313(f313(f8(x94861,x94862),x94863),f30(f890(x94861,a881),x94864)))+P1(f313(f313(f315(f890(x94861,a881)),f794(x94863,x94864,x94861,x94862)),x94864))+P1(f313(f313(f315(f890(x94861,a881)),f793(x94863,x94864,x94861,x94862)),x94864))+~P1(f313(f54(f890(x94861,a881)),x94864))
% 119.46/119.26 [9487]~P79(x94872)+E(f313(f313(f8(f890(x94871,a881),x94872),f313(f8(x94871,x94872),x94873)),x94874),f313(f313(f8(x94871,x94872),x94873),f30(f890(x94871,a881),x94874)))+P1(f313(f313(f315(f890(x94871,a881)),f794(x94873,x94874,x94871,x94872)),x94874))+P1(f313(f313(f315(f890(x94871,a881)),f792(x94873,x94874,x94871,x94872)),x94874))+~P1(f313(f54(f890(x94871,a881)),x94874))
% 119.46/119.26 [9508]~P79(x95082)+P1(f313(f313(f315(x95081),f795(x95083,x95084,x95081,x95082)),f793(x95083,x95084,x95081,x95082)))+~P1(f313(f54(x95081),f794(x95083,x95084,x95081,x95082)))+E(f313(f313(f8(f890(x95081,a881),x95082),f313(f8(x95081,x95082),x95083)),x95084),f313(f313(f8(x95081,x95082),x95083),f30(f890(x95081,a881),x95084)))+~P1(f313(f54(f890(x95081,a881)),x95084))
% 119.46/119.26 [9509]~P79(x95092)+P1(f313(f313(f315(x95091),f795(x95093,x95094,x95091,x95092)),f792(x95093,x95094,x95091,x95092)))+~P1(f313(f54(x95091),f794(x95093,x95094,x95091,x95092)))+E(f313(f313(f8(f890(x95091,a881),x95092),f313(f8(x95091,x95092),x95093)),x95094),f313(f313(f8(x95091,x95092),x95093),f30(f890(x95091,a881),x95094)))+~P1(f313(f54(f890(x95091,a881)),x95094))
% 119.46/119.26 [9526]P1(f313(x95261,x95262))+~P1(f313(f313(f315(x95263),f446(x95261,x95264,x95262,x95263)),f445(x95261,x95264,x95262,x95263)))+~P1(f313(f54(x95263),x95262))+~P1(f313(x95261,f178(f890(x95263,a881))))+~P1(f313(f313(f222(f890(x95263,a881)),x95262),x95264))
% 119.46/119.26 [9560]~P79(x95602)+P1(f313(f313(f315(x95601),f795(x95603,x95604,x95601,x95602)),f793(x95603,x95604,x95601,x95602)))+E(f313(f313(f8(f890(x95601,a881),x95602),f313(f8(x95601,x95602),x95603)),x95604),f313(f313(f8(x95601,x95602),x95603),f30(f890(x95601,a881),x95604)))+P1(f313(f313(f315(f890(x95601,a881)),f794(x95603,x95604,x95601,x95602)),x95604))+~P1(f313(f54(f890(x95601,a881)),x95604))
% 119.46/119.26 [9561]~P79(x95612)+P1(f313(f313(f315(x95611),f795(x95613,x95614,x95611,x95612)),f792(x95613,x95614,x95611,x95612)))+E(f313(f313(f8(f890(x95611,a881),x95612),f313(f8(x95611,x95612),x95613)),x95614),f313(f313(f8(x95611,x95612),x95613),f30(f890(x95611,a881),x95614)))+P1(f313(f313(f315(f890(x95611,a881)),f794(x95613,x95614,x95611,x95612)),x95614))+~P1(f313(f54(f890(x95611,a881)),x95614))
% 119.46/119.26 [9736]P1(f313(x97361,x97362))+~P1(f313(f54(x97363),x97362))+~P1(f313(x97361,f313(f313(f295(x97363),f446(x97361,x97364,x97362,x97363)),f445(x97361,x97364,x97362,x97363))))+~P1(f313(x97361,f178(f890(x97363,a881))))+~P1(f313(f313(f222(f890(x97363,a881)),x97362),x97364))
% 119.46/119.26 [10077]~P3(x100773)+~P49(a883,x100773,f313(f313(f20(a883,f890(a883,a881),f890(a883,a881)),f313(f313(f10(f890(a883,f890(a881,a881)),f890(f890(a883,a881),f890(a883,a881)),a883),f20(a883,a881,a881)),f313(f313(f10(f890(a883,a881),f890(a883,f890(a881,a881)),a883),f313(f10(a881,f890(a881,a881),a883),a311)),f273(a883)))),f313(f313(f10(f890(a883,a881),f890(a883,a881),a883),f313(f10(a881,a881,a883),a308)),f313(f9(a883,a883,a881),f273(a883)))),x100774)+P1(f313(f313(f223(x100773),f313(x100774,x100772)),f313(x100774,x100771)))+~P1(f313(f313(f273(a883),x100772),x100771))+P1(f313(f313(f273(a883),x100771),x100772))
% 119.46/119.26 [7791]~P72(x77911)+P1(f313(f313(f223(x77911),x77912),f2(x77911)))+~P1(f313(f313(f222(x77911),f2(x77911)),x77914))+P1(f313(f313(f223(x77911),f2(x77911)),x77912))+P1(f313(f313(f222(x77911),f313(f313(f277(x77911),x77913),x77912)),x77914))
% 119.46/119.26 [7792]~P72(x77921)+P1(f313(f313(f223(x77921),x77922),f2(x77921)))+P1(f313(f313(f223(x77921),f2(x77921)),x77922))+~P1(f313(f313(f223(x77921),f2(x77921)),x77924))+P1(f313(f313(f223(x77921),f313(f313(f277(x77921),x77923),x77922)),x77924))
% 119.46/119.26 [8008]~P5(x80081)+~P39(x80081,x80081,x80084)+~E(x80083,f87(x80081,x80084))+P1(f313(f313(f222(x80081),x80082),x80083))+~P1(f313(f313(f222(x80081),x80082),f313(x80084,f313(f313(f92(x80081),x80082),x80083))))
% 119.46/119.26 [8073]~P1(f313(f313(f222(a1),x80734),f2(a1)))+~E(x80732,f313(f313(f73(a1),f313(f313(f74(a1),x80731),x80733)),x80734))+P1(f313(f313(f223(a1),f2(a1)),x80731))+~P1(f313(f313(f223(a1),x80731),x80734))+P1(f313(f42(x80732,x80731),f313(f313(f240(a1,a1),x80733),x80734)))
% 119.46/119.26 [8107]~P1(f313(x81071,x81074))+P1(f313(x81071,f597(x81072,x81071,x81073)))+~P1(f313(f313(f222(a1),f2(a1)),x81072))+~P1(f313(f313(f223(a1),f2(a1)),x81073))+P1(f313(x81071,f313(f313(f3(a1),x81074),f313(f313(f74(a1),x81072),x81073))))
% 119.46/119.26 [8108]~P1(f313(x81081,x81084))+P1(f313(x81081,f608(x81082,x81081,x81083)))+~P1(f313(f313(f222(a1),f2(a1)),x81082))+~P1(f313(f313(f223(a1),f2(a1)),x81083))+P1(f313(x81081,f313(f313(f73(a1),x81084),f313(f313(f74(a1),x81082),x81083))))
% 119.46/119.26 [8109]~P72(x81091)+P1(f313(f313(f223(x81091),x81092),f2(x81091)))+P1(f313(f313(f223(x81091),f2(x81091)),x81092))+P1(f313(f313(f222(x81091),f2(x81091)),x81093))+~P1(f313(f313(f222(x81091),f313(f313(f277(x81091),x81094),x81092)),x81093))
% 119.46/119.26 [8110]~P72(x81101)+P1(f313(f313(f223(x81101),x81102),f2(x81101)))+P1(f313(f313(f223(x81101),f2(x81101)),x81102))+P1(f313(f313(f223(x81101),f2(x81101)),x81103))+~P1(f313(f313(f223(x81101),f313(f313(f277(x81101),x81104),x81102)),x81103))
% 119.46/119.26 [8160]~E(x81601,f313(f313(f73(a1),f313(f313(f74(a1),x81602),x81603)),x81604))+~P1(f313(f313(f222(a1),f2(a1)),x81604))+~P1(f313(f313(f223(a1),f2(a1)),x81602))+~P1(f313(f313(f223(a1),x81604),x81602))+P1(f313(f42(x81601,x81602),f313(f313(f240(a1,a1),x81603),x81604)))
% 119.46/119.26 [8278]~P72(x82781)+P1(f313(f313(f223(x82781),x82782),f2(x82781)))+~P1(f313(f313(f222(x82781),f2(x82781)),x82784))+~P1(f313(f313(f222(x82781),x82783),f313(f313(f74(x82781),x82784),x82782)))+P1(f313(f313(f222(x82781),f313(f313(f277(x82781),x82783),x82782)),x82784))
% 119.46/119.26 [8279]~P72(x82791)+P1(f313(f313(f223(x82791),x82792),f2(x82791)))+~P1(f313(f313(f223(x82791),f2(x82791)),x82794))+~P1(f313(f313(f223(x82791),x82793),f313(f313(f74(x82791),x82794),x82792)))+P1(f313(f313(f223(x82791),f313(f313(f277(x82791),x82793),x82792)),x82794))
% 119.46/119.26 [8362]~P72(x83621)+P1(f313(f313(f223(x83621),x83622),f2(x83621)))+~P1(f313(f313(f222(x83621),x83623),f2(x83621)))+P1(f313(f313(f222(x83621),x83623),f313(f313(f277(x83621),x83624),x83622)))+~P1(f313(f313(f222(x83621),f313(f313(f74(x83621),x83623),x83622)),x83624))
% 119.46/119.26 [8363]~P72(x83631)+P1(f313(f313(f223(x83631),x83632),f2(x83631)))+~P1(f313(f313(f223(x83631),x83633),f2(x83631)))+P1(f313(f313(f223(x83631),x83633),f313(f313(f277(x83631),x83634),x83632)))+~P1(f313(f313(f223(x83631),f313(f313(f74(x83631),x83633),x83632)),x83634))
% 119.46/119.26 [8515]~P72(x85151)+~P1(f313(f313(f223(x85151),x85152),f2(x85151)))+P1(f313(f313(f223(x85151),f2(x85151)),x85152))+~P1(f313(f313(f222(x85151),f313(f313(f277(x85151),x85154),x85152)),x85153))+P1(f313(f313(f222(x85151),f313(f313(f74(x85151),x85153),x85152)),x85154))
% 119.46/119.26 [8516]~P72(x85161)+~P1(f313(f313(f223(x85161),x85162),f2(x85161)))+P1(f313(f313(f223(x85161),f2(x85161)),x85162))+~P1(f313(f313(f222(x85161),f313(f313(f74(x85161),x85164),x85162)),x85163))+P1(f313(f313(f222(x85161),f313(f313(f277(x85161),x85163),x85162)),x85164))
% 119.46/119.26 [8517]~P72(x85171)+~P1(f313(f313(f223(x85171),x85172),f2(x85171)))+P1(f313(f313(f223(x85171),f2(x85171)),x85172))+~P1(f313(f313(f223(x85171),f313(f313(f277(x85171),x85174),x85172)),x85173))+P1(f313(f313(f223(x85171),f313(f313(f74(x85171),x85173),x85172)),x85174))
% 119.46/119.26 [8518]~P72(x85181)+~P1(f313(f313(f223(x85181),x85182),f2(x85181)))+P1(f313(f313(f223(x85181),f2(x85181)),x85182))+~P1(f313(f313(f223(x85181),f313(f313(f74(x85181),x85184),x85182)),x85183))+P1(f313(f313(f223(x85181),f313(f313(f277(x85181),x85183),x85182)),x85184))
% 119.46/119.26 [8534]~P72(x85341)+~P1(f313(f313(f222(x85341),f2(x85341)),x85344))+P1(f313(f313(f223(x85341),f2(x85341)),x85342))+~P1(f313(f313(f222(x85341),f313(f313(f74(x85341),x85344),x85342)),x85343))+P1(f313(f313(f222(x85341),f313(f313(f277(x85341),x85343),x85342)),x85344))
% 119.46/119.26 [8535]~P72(x85351)+~P1(f313(f313(f223(x85351),f2(x85351)),x85354))+P1(f313(f313(f223(x85351),f2(x85351)),x85352))+~P1(f313(f313(f223(x85351),f313(f313(f74(x85351),x85354),x85352)),x85353))+P1(f313(f313(f223(x85351),f313(f313(f277(x85351),x85353),x85352)),x85354))
% 119.46/119.26 [8590]~P72(x85901)+~P99(x85901)+~P1(f313(f313(f223(x85901),f2(x85901)),x85904))+~P1(f313(f313(f222(x85901),f313(f313(f277(x85901),x85902),x85904)),f313(f95(x85901),x85903)))+P1(f313(f313(f222(x85901),x85902),f313(f313(f74(x85901),f313(f95(x85901),x85903)),x85904)))
% 119.46/119.26 [8591]~P72(x85911)+~P99(x85911)+~P1(f313(f313(f223(x85911),f2(x85911)),x85914))+~P1(f313(f313(f223(x85911),f313(f313(f277(x85911),x85912),x85914)),f313(f95(x85911),x85913)))+P1(f313(f313(f223(x85911),x85912),f313(f313(f74(x85911),f313(f95(x85911),x85913)),x85914)))
% 119.46/119.26 [8597]~P72(x85971)+~P99(x85971)+~P1(f313(f313(f223(x85971),f2(x85971)),x85973))+P1(f313(f313(f222(x85971),f313(f313(f277(x85971),x85972),x85973)),f313(f95(x85971),x85974)))+~P1(f313(f313(f222(x85971),x85972),f313(f313(f74(x85971),f313(f95(x85971),x85974)),x85973)))
% 119.46/119.26 [8598]~P72(x85981)+~P99(x85981)+~P1(f313(f313(f223(x85981),f2(x85981)),x85983))+P1(f313(f313(f223(x85981),f313(f313(f277(x85981),x85982),x85983)),f313(f95(x85981),x85984)))+~P1(f313(f313(f223(x85981),x85982),f313(f313(f74(x85981),f313(f95(x85981),x85984)),x85983)))
% 119.46/119.26 [8612]~P72(x86121)+~P1(f313(f313(f223(x86121),x86124),f2(x86121)))+~P1(f313(f313(f222(x86121),x86123),f313(f313(f74(x86121),x86122),x86124)))+P1(f313(f313(f222(x86121),x86122),f313(f313(f277(x86121),x86123),x86124)))+~P1(f313(f313(f222(x86121),f313(f313(f74(x86121),x86122),x86124)),x86123))
% 119.46/119.26 [8613]~P72(x86131)+~P1(f313(f313(f222(x86131),x86132),f2(x86131)))+~P1(f313(f313(f222(x86131),x86133),f313(f313(f74(x86131),x86132),x86134)))+P1(f313(f313(f222(x86131),x86132),f313(f313(f277(x86131),x86133),x86134)))+~P1(f313(f313(f222(x86131),f313(f313(f74(x86131),x86132),x86134)),x86133))
% 119.46/119.26 [8614]~P72(x86141)+~P1(f313(f313(f223(x86141),x86144),f2(x86141)))+~P1(f313(f313(f223(x86141),x86143),f313(f313(f74(x86141),x86142),x86144)))+P1(f313(f313(f223(x86141),x86142),f313(f313(f277(x86141),x86143),x86144)))+~P1(f313(f313(f223(x86141),f313(f313(f74(x86141),x86142),x86144)),x86143))
% 119.46/119.26 [8615]~P72(x86151)+~P1(f313(f313(f223(x86151),x86152),f2(x86151)))+~P1(f313(f313(f223(x86151),x86153),f313(f313(f74(x86151),x86152),x86154)))+P1(f313(f313(f223(x86151),x86152),f313(f313(f277(x86151),x86153),x86154)))+~P1(f313(f313(f223(x86151),f313(f313(f74(x86151),x86152),x86154)),x86153))
% 119.46/119.26 [8662]~P72(x86621)+~P99(x86621)+~P1(f313(f313(f223(x86621),f2(x86621)),f313(f95(x86621),x86623)))+~P1(f313(f313(f222(x86621),x86622),f313(f313(f277(x86621),x86624),f313(f95(x86621),x86623))))+P1(f313(f313(f222(x86621),f313(f313(f74(x86621),x86622),f313(f95(x86621),x86623))),x86624))
% 119.46/119.26 [8663]~P72(x86631)+~P99(x86631)+~P1(f313(f313(f223(x86631),f2(x86631)),f313(f95(x86631),x86633)))+~P1(f313(f313(f222(x86631),x86632),f313(f313(f74(x86631),x86634),f313(f95(x86631),x86633))))+P1(f313(f313(f222(x86631),f313(f313(f277(x86631),x86632),f313(f95(x86631),x86633))),x86634))
% 119.46/119.26 [8664]~P72(x86641)+~P99(x86641)+~P1(f313(f313(f223(x86641),f2(x86641)),f313(f95(x86641),x86643)))+~P1(f313(f313(f223(x86641),x86642),f313(f313(f277(x86641),x86644),f313(f95(x86641),x86643))))+P1(f313(f313(f223(x86641),f313(f313(f74(x86641),x86642),f313(f95(x86641),x86643))),x86644))
% 119.46/119.26 [8665]~P72(x86651)+~P99(x86651)+~P1(f313(f313(f223(x86651),f2(x86651)),f313(f95(x86651),x86653)))+~P1(f313(f313(f223(x86651),x86652),f313(f313(f74(x86651),x86654),f313(f95(x86651),x86653))))+P1(f313(f313(f223(x86651),f313(f313(f277(x86651),x86652),f313(f95(x86651),x86653))),x86654))
% 119.46/119.26 [8725]~P72(x87251)+~P1(f313(f313(f223(x87251),x87253),f2(x87251)))+~P1(f313(f313(f222(x87251),x87252),f313(f313(f74(x87251),x87254),x87253)))+~P1(f313(f313(f222(x87251),f313(f313(f74(x87251),x87254),x87253)),x87252))+P1(f313(f313(f222(x87251),f313(f313(f277(x87251),x87252),x87253)),x87254))
% 119.46/119.26 [8726]~P72(x87261)+~P1(f313(f313(f223(x87261),x87263),f2(x87261)))+~P1(f313(f313(f223(x87261),x87262),f313(f313(f74(x87261),x87264),x87263)))+~P1(f313(f313(f223(x87261),f313(f313(f74(x87261),x87264),x87263)),x87262))+P1(f313(f313(f223(x87261),f313(f313(f277(x87261),x87262),x87263)),x87264))
% 119.46/119.26 [8740]~P72(x87401)+~P1(f313(f313(f222(x87401),f2(x87401)),x87404))+~P1(f313(f313(f222(x87401),x87402),f313(f313(f74(x87401),x87404),x87403)))+~P1(f313(f313(f222(x87401),f313(f313(f74(x87401),x87404),x87403)),x87402))+P1(f313(f313(f222(x87401),f313(f313(f277(x87401),x87402),x87403)),x87404))
% 119.46/119.26 [8741]~P72(x87411)+~P1(f313(f313(f223(x87411),f2(x87411)),x87414))+~P1(f313(f313(f223(x87411),x87412),f313(f313(f74(x87411),x87414),x87413)))+~P1(f313(f313(f223(x87411),f313(f313(f74(x87411),x87414),x87413)),x87412))+P1(f313(f313(f223(x87411),f313(f313(f277(x87411),x87412),x87413)),x87414))
% 119.46/119.26 [8772]~P72(x87721)+~P99(x87721)+~P1(f313(f313(f223(x87721),f2(x87721)),f313(f95(x87721),x87724)))+P1(f313(f313(f222(x87721),x87722),f313(f313(f74(x87721),x87723),f313(f95(x87721),x87724))))+~P1(f313(f313(f222(x87721),f313(f313(f277(x87721),x87722),f313(f95(x87721),x87724))),x87723))
% 119.46/119.26 [8773]~P72(x87731)+~P99(x87731)+~P1(f313(f313(f223(x87731),f2(x87731)),f313(f95(x87731),x87734)))+P1(f313(f313(f222(x87731),x87732),f313(f313(f277(x87731),x87733),f313(f95(x87731),x87734))))+~P1(f313(f313(f222(x87731),f313(f313(f74(x87731),x87732),f313(f95(x87731),x87734))),x87733))
% 119.46/119.26 [8774]~P72(x87741)+~P99(x87741)+~P1(f313(f313(f223(x87741),f2(x87741)),f313(f95(x87741),x87744)))+P1(f313(f313(f223(x87741),x87742),f313(f313(f74(x87741),x87743),f313(f95(x87741),x87744))))+~P1(f313(f313(f223(x87741),f313(f313(f277(x87741),x87742),f313(f95(x87741),x87744))),x87743))
% 119.46/119.26 [8775]~P72(x87751)+~P99(x87751)+~P1(f313(f313(f223(x87751),f2(x87751)),f313(f95(x87751),x87754)))+P1(f313(f313(f223(x87751),x87752),f313(f313(f277(x87751),x87753),f313(f95(x87751),x87754))))+~P1(f313(f313(f223(x87751),f313(f313(f74(x87751),x87752),f313(f95(x87751),x87754))),x87753))
% 119.46/119.26 [8914]E(f313(f313(f3(a1),f396(x89141,x89142,x89143,x89144)),f397(x89141,x89142,x89143,x89144)),x89144)+~P1(f313(f313(f223(a1),f2(a1)),x89143))+~P1(f313(f313(f315(a1),x89142),x89141))+~P1(f313(f313(f223(a1),x89144),x89142))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x89144),x89143)),x89142))
% 119.46/119.26 [8986]~P1(f313(x89861,x89862))+~P1(f313(f313(f222(a1),f2(a1)),x89863))+~P1(f313(f313(f223(a1),f2(a1)),x89864))+~P1(f313(x89861,f313(f313(f73(a1),f608(x89863,x89861,x89864)),x89864)))+P1(f313(x89861,f313(f313(f73(a1),x89862),f313(f313(f74(a1),x89863),x89864))))
% 119.46/119.26 [8987]~P1(f313(x89871,x89872))+~P1(f313(f313(f222(a1),f2(a1)),x89873))+~P1(f313(f313(f223(a1),f2(a1)),x89874))+~P1(f313(x89871,f313(f313(f3(a1),f597(x89873,x89871,x89874)),x89874)))+P1(f313(x89871,f313(f313(f3(a1),x89872),f313(f313(f74(a1),x89873),x89874))))
% 119.46/119.26 [9136]~P1(f313(f313(f223(a1),f2(a1)),x91363))+~P1(f313(f313(f315(a1),x91362),x91361))+~P1(f313(f313(f223(a1),x91364),x91362))+P1(f313(f313(f315(a1),f396(x91361,x91362,x91363,x91364)),x91361))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x91364),x91363)),x91362))
% 119.46/119.26 [9156]E(f313(f313(f3(a1),f383(x91561,x91562,x91563,x91564)),f384(x91561,x91562,x91563,x91564)),x91564)+~P1(f313(f313(f223(a1),f2(a1)),x91563))+~P1(f313(f313(f222(a1),x91564),x91562))+~P1(f313(f313(f315(a1),f313(f313(f73(a1),x91562),f71(a1))),x91561))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x91564),x91563)),x91562))
% 119.46/119.26 [9184]~P1(f313(f313(f223(a1),f2(a1)),x91842))+~P1(f313(f313(f315(a1),x91843),x91844))+~P1(f313(f313(f223(a1),x91841),x91843))+P1(f313(f313(f315(a1),f397(x91844,x91843,x91842,x91841)),f289(a1,f71(a1),x91842)))+P1(f313(f313(f223(a1),f313(f313(f73(a1),x91841),x91842)),x91843))
% 119.46/119.26 [9271]~P1(f313(f313(f223(a1),f2(a1)),x92713))+~P1(f313(f313(f222(a1),x92714),x92712))+P1(f313(f313(f315(a1),f383(x92711,x92712,x92713,x92714)),x92711))+~P1(f313(f313(f315(a1),f313(f313(f73(a1),x92712),f71(a1))),x92711))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x92714),x92713)),x92712))
% 119.46/119.26 [9319]~P1(f313(f313(f223(a1),f2(a1)),x93192))+~P1(f313(f313(f222(a1),x93191),x93193))+P1(f313(f313(f315(a1),f384(x93194,x93193,x93192,x93191)),f289(a1,f71(a1),x93192)))+~P1(f313(f313(f315(a1),f313(f313(f73(a1),x93193),f71(a1))),x93194))+P1(f313(f313(f222(a1),f313(f313(f73(a1),x93191),x93192)),x93193))
% 119.46/119.26 [9611]~P36(x96111,x96113)+~P25(x96111,x96114)+P36(x96111,f313(f313(f92(f890(f889(x96111,x96111),a881)),x96112),x96113))+~P1(f313(f313(f222(f890(f889(x96111,x96111),a881)),x96112),f313(f239(f890(f889(x96111,x96111),a881),f890(f889(x96111,x96111),a881)),x96114)))+~P1(f313(f313(f222(f890(f889(x96111,x96111),a881)),x96113),f313(f244(f890(f889(x96111,x96111),a881),f890(f889(x96111,x96111),a881)),x96114)))
% 119.46/119.26 [10010]~P18(x100102,x100104,x100103)+E(x100101,f178(f890(x100102,a881)))+~P1(f313(f54(x100102),x100101))+P1(f313(f313(f315(x100102),f313(x100103,x100101)),x100101))+~P1(f313(f313(f315(x100102),f313(f313(x100104,f418(x100101,x100103,x100104,x100102)),f422(x100101,x100103,x100104,x100102))),f313(f313(f295(x100102),f418(x100101,x100103,x100104,x100102)),f313(f313(f295(x100102),f422(x100101,x100103,x100104,x100102)),f178(f890(x100102,a881))))))
% 119.46/119.26 [8639]~P5(x86391)+~P39(x86391,x86391,x86394)+~E(x86392,f86(x86391,x86394))+P1(f313(f313(f222(x86391),x86392),x86393))+~P1(f313(f313(f222(x86391),f313(x86394,f313(f313(f93(x86391),x86392),x86393))),x86393))
% 119.46/119.26 [8762]~P72(x87621)+~P99(x87621)+~P1(f313(f313(f223(x87621),f2(x87621)),x87623))+~P1(f313(f313(f222(x87621),f313(f95(x87621),x87622)),f313(f313(f277(x87621),x87624),x87623)))+P1(f313(f313(f222(x87621),f313(f313(f74(x87621),f313(f95(x87621),x87622)),x87623)),x87624))
% 119.46/119.26 [8763]~P72(x87631)+~P99(x87631)+~P1(f313(f313(f223(x87631),f2(x87631)),x87633))+~P1(f313(f313(f223(x87631),f313(f95(x87631),x87632)),f313(f313(f277(x87631),x87634),x87633)))+P1(f313(f313(f223(x87631),f313(f313(f74(x87631),f313(f95(x87631),x87632)),x87633)),x87634))
% 119.46/119.26 [8917]~P72(x89171)+~P99(x89171)+~P1(f313(f313(f223(x89171),f2(x89171)),x89174))+P1(f313(f313(f222(x89171),f313(f95(x89171),x89172)),f313(f313(f277(x89171),x89173),x89174)))+~P1(f313(f313(f222(x89171),f313(f313(f74(x89171),f313(f95(x89171),x89172)),x89174)),x89173))
% 119.46/119.26 [8918]~P72(x89181)+~P99(x89181)+~P1(f313(f313(f223(x89181),f2(x89181)),x89184))+P1(f313(f313(f223(x89181),f313(f95(x89181),x89182)),f313(f313(f277(x89181),x89183),x89184)))+~P1(f313(f313(f223(x89181),f313(f313(f74(x89181),f313(f95(x89181),x89182)),x89184)),x89183))
% 119.46/119.26 [9932]~P3(x99322)+~P69(x99321)+~P1(f313(f313(f222(f890(x99321,x99322)),x99323),x99324))+P1(f313(f313(f223(f890(x99321,x99322)),x99323),x99324))+~P1(f313(f49(x99321),f313(f313(f10(a881,a881,x99321),a308),f313(f313(f20(x99321,x99322,a881),f313(f313(f10(x99322,f890(x99322,a881),x99321),a310),x99323)),x99324))))
% 119.46/119.26 [5106]~P51(x51065,x51064,x51063)+E(x51061,x51062)+~P3(x51064)+~P4(x51065)+~E(f313(x51063,x51061),f313(x51063,x51062))
% 119.46/119.26 [9532]~P57(x95321,x95321,x95324)+P1(f313(f313(f315(f889(x95321,x95321)),f313(f313(f240(x95321,x95321),x95322),x95323)),f293(x95321,x95324)))+P1(f313(f313(f315(f889(x95321,x95321)),f313(f313(f240(x95321,x95321),x95323),x95322)),f293(x95321,x95324)))+~P1(f313(f313(f315(f889(x95321,x95321)),f313(f313(f240(x95321,x95321),x95325),x95322)),f293(x95321,x95324)))+~P1(f313(f313(f315(f889(x95321,x95321)),f313(f313(f240(x95321,x95321),x95325),x95323)),f293(x95321,x95324)))
% 119.46/119.26 [5598]E(x55981,f2(a883))+~E(f313(f28(x55982),x55985),x55981)+E(f313(f28(x55982),x55983),f313(a103,x55981))+~E(x55983,f313(f313(f295(x55982),x55984),x55985))+P1(f313(f313(f315(x55982),x55984),x55985))
% 119.46/119.26 [5723]~P71(x57232)+E(x57231,f2(x57232))+E(x57233,f2(x57232))+~E(f313(f313(f277(x57232),x57234),x57233),f313(f313(f277(x57232),x57235),x57231))+E(f313(f313(f74(x57232),x57234),x57231),f313(f313(f74(x57232),x57235),x57233))
% 119.46/119.26 [5724]~P71(x57242)+E(x57241,f2(x57242))+E(x57243,f2(x57242))+~E(f313(f313(f74(x57242),x57244),x57243),f313(f313(f74(x57242),x57245),x57241))+E(f313(f313(f277(x57242),x57244),x57241),f313(f313(f277(x57242),x57245),x57243))
% 119.46/119.26 [5801]~E(f313(f28(x58011),x58015),x58013)+~E(x58015,f178(f890(x58011,a881)))+E(f313(f28(x58011),x58012),f313(a103,x58013))+~E(x58012,f313(f313(f295(x58011),x58014),x58015))+P1(f313(f313(f315(x58011),x58014),x58015))
% 119.46/119.26 [6043]~P120(x60432)+~E(f313(x60433,x60435),f2(x60432))+E(f313(f313(f11(x60431,x60432),x60433),x60434),f2(x60432))+~P1(f313(f54(x60431),x60434))+~P1(f313(f313(f315(x60431),x60435),x60434))
% 119.46/119.26 [6436]~P4(x64363)+E(x64361,x64362)+~E(f313(f288(x64363,x64364),x64361),f313(f288(x64363,x64365),x64362))+~P1(f313(f313(f223(x64363),x64365),x64362))+~P1(f313(f313(f223(x64363),x64364),x64361))
% 119.46/119.26 [6437]~P4(x64373)+E(x64371,x64372)+~E(f313(f288(x64373,x64371),x64374),f313(f288(x64373,x64372),x64375))+~P1(f313(f313(f223(x64373),x64372),x64375))+~P1(f313(f313(f223(x64373),x64371),x64374))
% 119.46/119.26 [6438]~P4(x64383)+E(x64381,x64382)+~E(f313(f288(x64383,x64384),x64381),f313(f288(x64383,x64385),x64382))+~P1(f313(f313(f223(x64383),x64385),x64382))+~P1(f313(f313(f223(x64383),x64384),x64381))
% 119.46/119.26 [6439]~P4(x64393)+E(x64391,x64392)+~E(f313(f288(x64393,x64391),x64394),f313(f288(x64393,x64392),x64395))+~P1(f313(f313(f223(x64393),x64392),x64395))+~P1(f313(f313(f223(x64393),x64391),x64394))
% 119.46/119.26 [6613]~P3(x66131)+~P51(x66135,x66131,x66132)+~P4(x66135)+P1(f313(f313(f222(x66131),f313(x66132,x66133)),f313(x66132,x66134)))+~P1(f313(f313(f222(x66135),x66133),x66134))
% 119.46/119.26 [6614]~P3(x66141)+~P39(x66145,x66141,x66142)+~P3(x66145)+P1(f313(f313(f222(x66141),f313(x66142,x66143)),f313(x66142,x66144)))+~P1(f313(f313(f222(x66145),x66143),x66144))
% 119.46/119.26 [6615]~P3(x66151)+~P51(x66155,x66151,x66152)+~P4(x66155)+P1(f313(f313(f223(x66151),f313(x66152,x66153)),f313(x66152,x66154)))+~P1(f313(f313(f223(x66155),x66153),x66154))
% 119.46/119.26 [6616]~P3(x66161)+~P51(x66165,x66161,x66162)+~P3(x66165)+P1(f313(f313(f223(x66161),f313(x66162,x66163)),f313(x66162,x66164)))+~P1(f313(f313(f223(x66165),x66163),x66164))
% 119.46/119.26 [6881]~P4(x68811)+~P51(x68811,x68814,x68815)+~P3(x68814)+~P1(f313(f313(f222(x68814),f313(x68815,x68812)),f313(x68815,x68813)))+P1(f313(f313(f222(x68811),x68812),x68813))
% 119.46/119.26 [6882]~P4(x68821)+~P51(x68821,x68824,x68825)+~P3(x68824)+~P1(f313(f313(f223(x68824),f313(x68825,x68822)),f313(x68825,x68823)))+P1(f313(f313(f223(x68821),x68822),x68823))
% 119.46/119.26 [7551]~P4(x75511)+~P13(x75511,f313(f313(f122(x75511),x75514),x75515))+~P1(f313(f313(f315(x75511),x75513),f313(f160(x75511),x75515)))+~P1(f313(f313(f315(x75511),x75512),f313(f160(x75511),x75514)))+P1(f313(f313(f222(x75511),x75512),x75513))
% 119.46/119.26 [8648]~P3(x86481)+~P1(f313(f313(f223(f890(x86481,a881)),f289(x86481,x86485,x86482)),f289(x86481,x86484,x86483)))+~P1(f313(f313(f222(x86481),x86485),x86482))+P1(f313(f313(f223(x86481),x86482),x86483))+P1(f313(f313(f223(x86481),x86484),x86485))
% 119.46/119.26 [9646]~P39(f890(x96464,a881),f890(x96464,a881),x96465)+P1(f313(x96461,x96462))+~E(x96463,f86(f890(x96464,a881),x96465))+~P1(f313(x96461,f544(x96461,x96462,x96465,x96464,x96463)))+~P1(f313(f313(f315(x96464),x96462),x96463))
% 119.46/119.26 [10053]~P17(x100532,x100535,x100533)+E(x100531,f178(f890(x100532,a881)))+~E(f313(f313(x100535,f313(x100534,f531(x100531,x100534,x100533,x100535,x100532))),f313(x100534,f532(x100531,x100534,x100533,x100535,x100532))),f313(x100534,f313(f313(x100535,f531(x100531,x100534,x100533,x100535,x100532)),f532(x100531,x100534,x100533,x100535,x100532))))+E(f313(x100533,f313(f296(x100532,x100532,x100534),x100531)),f313(x100534,f313(x100533,x100531)))+~P1(f313(f54(x100532),x100531))
% 119.46/119.26 [6435]~P18(x64352,x64355,x64353)+E(x64351,f178(f890(x64352,a881)))+~P1(f313(f54(x64352),x64351))+E(f313(x64353,f313(f313(f295(x64352),x64354),x64351)),f313(f313(x64355,x64354),f313(x64353,x64351)))+P1(f313(f313(f315(x64352),x64354),x64351))
% 119.46/119.26 [7305]~P17(x73052,x73053,x73054)+E(f313(f313(x73053,f313(x73054,x73051)),f313(x73054,x73055)),f313(x73054,x73055))+E(x73051,f178(f890(x73052,a881)))+~P1(f313(f54(x73052),x73055))+~P1(f313(f313(f222(f890(x73052,a881)),x73051),x73055))
% 119.46/119.26 [7689]~P18(x76894,x76895,x76891)+E(f313(x76891,x76892),x76893)+~P1(f313(f54(x76894),x76892))+~E(f313(f313(f3(f890(x76894,a881)),x76892),f313(f313(f295(x76894),x76893),f178(f890(x76894,a881)))),f178(f890(x76894,a881)))+~P1(f313(f313(f315(x76894),x76893),x76892))
% 119.46/119.26 [8571]~P75(x85711)+~P125(x85711)+~P1(f313(f54(x85712),x85715))+P1(f313(f313(f273(x85711),f313(f313(f11(x85712,x85711),x85713),x85714)),f313(f313(f11(x85712,x85711),x85713),x85715)))+~P1(f313(f313(f222(f890(x85712,a881)),x85714),x85715))
% 119.46/119.26 [8619]E(x86191,x86192)+~P8(x86193,x86194,x86195)+E(f313(f313(f93(f890(x86193,a881)),x86191),x86192),f178(f890(x86193,a881)))+~P1(f313(f313(f315(f890(x86193,a881)),x86192),f313(f313(f53(x86193),x86194),x86195)))+~P1(f313(f313(f315(f890(x86193,a881)),x86191),f313(f313(f53(x86193),x86194),x86195)))
% 119.46/119.26 [9063]~P24(x90631,x90633,x90635,x90632)+~P1(f313(f54(x90633),x90634))+~P1(f313(f54(x90631),x90632))+P1(f313(f313(f222(a883),f313(f28(x90631),x90632)),f313(f28(x90633),x90634)))+~P1(f313(f313(f222(f890(x90633,a881)),f313(f296(x90631,x90633,x90635),x90632)),x90634))
% 119.46/119.26 [9400]~P79(x94002)+~E(f313(x94003,f443(x94003,x94004,x94005,x94001,x94002)),f2(x94002))+E(f313(f313(f8(x94001,x94002),x94003),x94004),f313(f313(f8(x94001,x94002),x94003),x94005))+~P1(f313(f54(x94001),x94005))+~P1(f313(f313(f222(f890(x94001,a881)),x94004),x94005))
% 119.46/119.26 [9401]~P79(x94012)+~E(f313(x94013,f444(x94013,x94014,x94015,x94011,x94012)),f2(x94012))+E(f313(f313(f8(x94011,x94012),x94013),x94014),f313(f313(f8(x94011,x94012),x94013),x94015))+~P1(f313(f54(x94011),x94015))+~P1(f313(f313(f222(f890(x94011,a881)),x94014),x94015))
% 119.46/119.26 [9402]~P75(x94022)+~E(f313(x94023,f439(x94023,x94024,x94025,x94021,x94022)),f71(x94022))+E(f313(f313(f11(x94021,x94022),x94023),x94024),f313(f313(f11(x94021,x94022),x94023),x94025))+~P1(f313(f54(x94021),x94025))+~P1(f313(f313(f222(f890(x94021,a881)),x94024),x94025))
% 119.46/119.26 [9403]~P75(x94032)+~E(f313(x94033,f440(x94033,x94034,x94035,x94031,x94032)),f71(x94032))+E(f313(f313(f11(x94031,x94032),x94033),x94034),f313(f313(f11(x94031,x94032),x94033),x94035))+~P1(f313(f54(x94031),x94035))+~P1(f313(f313(f222(f890(x94031,a881)),x94034),x94035))
% 119.46/119.26 [9831]~P39(f890(x98311,a881),f890(x98311,a881),f313(f313(f10(f890(x98311,a881),f890(x98311,a881),f890(x98311,a881)),f250(x98311)),x98314))+~P1(f313(f313(x98314,f313(f313(f92(f890(x98311,a881)),x98315),x98313)),f546(x98315,x98312,x98314,x98311,x98313)))+~E(x98313,f87(f890(x98311,a881),f313(f313(f10(f890(x98311,a881),f890(x98311,a881),f890(x98311,a881)),f250(x98311)),x98314)))+P1(f313(f313(f315(x98311),x98312),x98313))+~P1(f313(f313(f315(x98311),x98312),x98315))
% 119.46/119.26 [9838]~P39(f890(x98381,a881),f890(x98381,a881),f313(f313(f10(f890(x98381,a881),f890(x98381,a881),f890(x98381,a881)),f250(x98381)),x98385))+~E(x98383,f87(f890(x98381,a881),f313(f313(f10(f890(x98381,a881),f890(x98381,a881),f890(x98381,a881)),f250(x98381)),x98385)))+~P1(f313(f313(f315(x98381),x98382),x98384))+P1(f313(f313(f315(x98381),f546(x98384,x98382,x98385,x98381,x98383)),x98384))+P1(f313(f313(f315(x98381),x98382),x98383))
% 119.46/119.26 [9888]~P93(x98881)+~P1(f313(f54(x98882),x98885))+~P1(f313(f313(f222(x98881),f2(x98881)),f313(x98883,f402(x98883,x98884,x98885,x98882,x98881))))+P1(f313(f313(f222(x98881),f313(f313(f8(x98882,x98881),x98883),x98884)),f313(f313(f8(x98882,x98881),x98883),x98885)))+~P1(f313(f313(f222(f890(x98882,a881)),x98884),x98885))
% 119.46/119.26 [7548]E(x75481,f2(a883))+P1(f313(x75482,x75483))+~E(x75484,f313(f313(f73(a883),f313(f313(f74(a883),x75481),x75483)),x75485))+~P1(f313(f313(f223(a883),x75485),x75481))+~P1(f313(x75482,f313(f313(f29(a883),x75484),x75481)))
% 119.46/119.26 [7627]E(x76271,f2(a883))+P1(f313(x76272,x76273))+~P1(f313(x76272,f38(a883,x76274,x76271)))+~E(x76274,f313(f313(f73(a883),f313(f313(f74(a883),x76271),x76275)),x76273))+~P1(f313(f313(f223(a883),x76273),x76271))
% 119.46/119.26 [7922]~P71(x79223)+E(f313(x79221,x79222),f2(x79223))+~P1(f313(f54(x79224),x79225))+E(f313(f313(f11(x79224,x79223),x79221),f313(f313(f3(f890(x79224,a881)),x79225),f313(f313(f295(x79224),x79222),f178(f890(x79224,a881))))),f313(f313(f11(x79224,x79223),x79221),x79225))+P1(f313(f313(f315(x79224),x79222),x79225))
% 119.46/119.26 [8318]~P79(x83181)+~P1(f313(f54(x83182),x83185))+~P1(f313(f54(x83182),x83184))+~E(f313(f313(f93(f890(x83182,a881)),x83184),x83185),f178(f890(x83182,a881)))+E(f313(f313(f73(x83181),f313(f313(f8(x83182,x83181),x83183),x83184)),f313(f313(f8(x83182,x83181),x83183),x83185)),f313(f313(f8(x83182,x83181),x83183),f313(f313(f92(f890(x83182,a881)),x83184),x83185)))
% 119.46/119.26 [8319]~P75(x83191)+~P1(f313(f54(x83192),x83195))+~P1(f313(f54(x83192),x83194))+~E(f313(f313(f93(f890(x83192,a881)),x83194),x83195),f178(f890(x83192,a881)))+E(f313(f313(f74(x83191),f313(f313(f11(x83192,x83191),x83193),x83194)),f313(f313(f11(x83192,x83191),x83193),x83195)),f313(f313(f11(x83192,x83191),x83193),f313(f313(f92(f890(x83192,a881)),x83194),x83195)))
% 119.46/119.26 [8320]~P75(x83201)+~P1(f313(f54(x83202),x83205))+~P1(f313(f54(x83202),x83204))+~E(f313(f313(f93(f890(x83202,a881)),x83204),x83205),f178(f890(x83202,a881)))+E(f313(f313(f74(x83201),f313(f313(f11(x83202,x83201),x83203),x83204)),f313(f313(f11(x83202,x83201),x83203),x83205)),f313(f313(f11(x83202,x83201),x83203),f313(f313(f92(f890(x83202,a881)),x83204),x83205)))
% 119.46/119.26 [8416]~P71(x84163)+E(f313(x84161,x84162),f2(x84163))+~P1(f313(f54(x84164),x84165))+E(f313(f313(f11(x84164,x84163),x84161),f313(f313(f3(f890(x84164,a881)),x84165),f313(f313(f295(x84164),x84162),f178(f890(x84164,a881))))),f313(f313(f277(x84163),f313(f313(f11(x84164,x84163),x84161),x84165)),f313(x84161,x84162)))+~P1(f313(f313(f315(x84164),x84162),x84165))
% 119.46/119.26 [8932]~P8(x89321,x89325,x89324)+~E(f313(f271(x89321,x89321,x89324),f313(f313(f295(x89321),x89322),f178(f890(x89321,a881)))),f313(f271(x89321,x89321,x89324),f313(f313(f295(x89321),x89323),f178(f890(x89321,a881)))))+~P1(f313(f313(f315(x89321),x89323),x89325))+~P1(f313(f313(f315(x89321),x89322),x89325))+P1(f313(f313(f315(f889(x89321,x89321)),f313(f313(f240(x89321,x89321),x89322),x89323)),x89324))
% 119.46/119.26 [8933]~P8(x89331,x89335,x89334)+~E(f313(f271(x89331,x89331,x89334),f313(f313(f295(x89331),x89332),f178(f890(x89331,a881)))),f313(f271(x89331,x89331,x89334),f313(f313(f295(x89331),x89333),f178(f890(x89331,a881)))))+~P1(f313(f313(f315(x89331),x89333),x89335))+~P1(f313(f313(f315(x89331),x89332),x89335))+P1(f313(f313(f315(f889(x89331,x89331)),f313(f313(f240(x89331,x89331),x89332),x89333)),x89334))
% 119.46/119.26 [9025]~P8(x90251,x90255,x90252)+E(f313(f271(x90251,x90251,x90252),f313(f313(f295(x90251),x90253),f178(f890(x90251,a881)))),f313(f271(x90251,x90251,x90252),f313(f313(f295(x90251),x90254),f178(f890(x90251,a881)))))+~P1(f313(f313(f315(x90251),x90254),x90255))+~P1(f313(f313(f315(x90251),x90253),x90255))+~P1(f313(f313(f315(f889(x90251,x90251)),f313(f313(f240(x90251,x90251),x90253),x90254)),x90252))
% 119.46/119.26 [9114]~P8(x91141,x91145,x91144)+~E(f313(f313(f53(x91141),f313(f313(f295(x91141),x91142),f178(f890(x91141,a881)))),x91144),f313(f313(f53(x91141),f313(f313(f295(x91141),x91143),f178(f890(x91141,a881)))),x91144))+~P1(f313(f313(f315(x91141),x91143),x91145))+~P1(f313(f313(f315(x91141),x91142),x91145))+P1(f313(f313(f315(f889(x91141,x91141)),f313(f313(f240(x91141,x91141),x91142),x91143)),x91144))
% 119.46/119.26 [9135]~P8(x91351,x91355,x91353)+E(f313(f313(f53(x91351),f313(f313(f295(x91351),x91352),f178(f890(x91351,a881)))),x91353),f313(f313(f53(x91351),f313(f313(f295(x91351),x91354),f178(f890(x91351,a881)))),x91353))+~P1(f313(f313(f315(x91351),x91354),x91355))+~P1(f313(f313(f315(x91351),x91352),x91355))+~P1(f313(f313(f315(f889(x91351,x91351)),f313(f313(f240(x91351,x91351),x91352),x91354)),x91353))
% 119.46/119.26 [9428]~P75(x94281)+~P1(f313(f54(x94282),x94285))+~P1(f313(f54(x94282),x94284))+~E(f313(f313(f93(f890(x94282,a881)),x94284),x94285),f178(f890(x94282,a881)))+E(f313(f313(f74(x94281),f313(f313(f313(f58(x94281,x94282,f74(x94281)),x94283),f71(x94281)),x94284)),f313(f313(f313(f58(x94281,x94282,f74(x94281)),x94283),f71(x94281)),x94285)),f313(f313(f313(f58(x94281,x94282,f74(x94281)),x94283),f71(x94281)),f313(f313(f92(f890(x94282,a881)),x94284),x94285)))
% 119.46/119.26 [9439]~P79(x94391)+~E(f313(x94393,f468(x94393,x94395,x94394,x94392,x94391)),f2(x94391))+~P1(f313(f54(x94392),x94394))+~P1(f313(f54(x94392),x94395))+E(f313(f313(f73(x94391),f313(f313(f8(x94392,x94391),x94393),x94394)),f313(f313(f8(x94392,x94391),x94393),x94395)),f313(f313(f8(x94392,x94391),x94393),f313(f313(f92(f890(x94392,a881)),x94394),x94395)))
% 119.46/119.26 [9440]~P79(x94401)+~E(f313(x94403,f472(x94403,x94405,x94404,x94402,x94401)),f2(x94401))+~P1(f313(f54(x94402),x94404))+~P1(f313(f54(x94402),x94405))+E(f313(f313(f73(x94401),f313(f313(f8(x94402,x94401),x94403),x94404)),f313(f313(f8(x94402,x94401),x94403),x94405)),f313(f313(f8(x94402,x94401),x94403),f313(f313(f92(f890(x94402,a881)),x94404),x94405)))
% 119.46/119.26 [9441]~P75(x94411)+~E(f313(x94413,f469(x94413,x94415,x94414,x94412,x94411)),f71(x94411))+~P1(f313(f54(x94412),x94414))+~P1(f313(f54(x94412),x94415))+E(f313(f313(f74(x94411),f313(f313(f11(x94412,x94411),x94413),x94414)),f313(f313(f11(x94412,x94411),x94413),x94415)),f313(f313(f11(x94412,x94411),x94413),f313(f313(f92(f890(x94412,a881)),x94414),x94415)))
% 119.46/119.26 [9442]~P75(x94421)+~E(f313(x94423,f471(x94423,x94425,x94424,x94422,x94421)),f71(x94421))+~P1(f313(f54(x94422),x94424))+~P1(f313(f54(x94422),x94425))+E(f313(f313(f74(x94421),f313(f313(f11(x94422,x94421),x94423),x94424)),f313(f313(f11(x94422,x94421),x94423),x94425)),f313(f313(f11(x94422,x94421),x94423),f313(f313(f92(f890(x94422,a881)),x94424),x94425)))
% 119.46/119.26 [9654]~P75(x96541)+~E(f313(x96543,f488(x96543,x96545,x96544,x96542,x96541)),f71(x96541))+~P1(f313(f54(x96542),x96544))+~P1(f313(f54(x96542),x96545))+E(f313(f313(f74(x96541),f313(f313(f313(f58(x96541,x96542,f74(x96541)),x96543),f71(x96541)),x96544)),f313(f313(f313(f58(x96541,x96542,f74(x96541)),x96543),f71(x96541)),x96545)),f313(f313(f313(f58(x96541,x96542,f74(x96541)),x96543),f71(x96541)),f313(f313(f92(f890(x96542,a881)),x96544),x96545)))
% 119.46/119.26 [9765]~P79(x97652)+E(f313(f313(f8(x97651,x97652),x97653),x97654),f313(f313(f8(x97651,x97652),x97653),x97655))+~P1(f313(f54(x97651),x97655))+~P1(f313(f313(f222(f890(x97651,a881)),x97654),x97655))+P1(f313(f313(f315(x97651),f443(x97653,x97654,x97655,x97651,x97652)),f313(f313(f3(f890(x97651,a881)),x97655),x97654)))
% 119.46/119.26 [9766]~P79(x97662)+E(f313(f313(f8(x97661,x97662),x97663),x97664),f313(f313(f8(x97661,x97662),x97663),x97665))+~P1(f313(f54(x97661),x97665))+~P1(f313(f313(f222(f890(x97661,a881)),x97664),x97665))+P1(f313(f313(f315(x97661),f444(x97663,x97664,x97665,x97661,x97662)),f313(f313(f3(f890(x97661,a881)),x97665),x97664)))
% 119.46/119.26 [9767]~P75(x97672)+E(f313(f313(f11(x97671,x97672),x97673),x97674),f313(f313(f11(x97671,x97672),x97673),x97675))+~P1(f313(f54(x97671),x97675))+~P1(f313(f313(f222(f890(x97671,a881)),x97674),x97675))+P1(f313(f313(f315(x97671),f439(x97673,x97674,x97675,x97671,x97672)),f313(f313(f3(f890(x97671,a881)),x97675),x97674)))
% 119.46/119.26 [9768]~P75(x97682)+E(f313(f313(f11(x97681,x97682),x97683),x97684),f313(f313(f11(x97681,x97682),x97683),x97685))+~P1(f313(f54(x97681),x97685))+~P1(f313(f313(f222(f890(x97681,a881)),x97684),x97685))+P1(f313(f313(f315(x97681),f440(x97683,x97684,x97685,x97681,x97682)),f313(f313(f3(f890(x97681,a881)),x97685),x97684)))
% 119.46/119.26 [9787]~P79(x97871)+~P1(f313(f54(x97872),x97874))+~P1(f313(f54(x97872),x97875))+E(f313(f313(f73(x97871),f313(f313(f8(x97872,x97871),x97873),x97874)),f313(f313(f8(x97872,x97871),x97873),x97875)),f313(f313(f8(x97872,x97871),x97873),f313(f313(f92(f890(x97872,a881)),x97874),x97875)))+P1(f313(f313(f315(x97872),f468(x97873,x97875,x97874,x97872,x97871)),f313(f313(f93(f890(x97872,a881)),x97874),x97875)))
% 119.46/119.26 [9788]~P79(x97881)+~P1(f313(f54(x97882),x97884))+~P1(f313(f54(x97882),x97885))+E(f313(f313(f73(x97881),f313(f313(f8(x97882,x97881),x97883),x97884)),f313(f313(f8(x97882,x97881),x97883),x97885)),f313(f313(f8(x97882,x97881),x97883),f313(f313(f92(f890(x97882,a881)),x97884),x97885)))+P1(f313(f313(f315(x97882),f472(x97883,x97885,x97884,x97882,x97881)),f313(f313(f93(f890(x97882,a881)),x97884),x97885)))
% 119.46/119.26 [9789]~P75(x97891)+~P1(f313(f54(x97892),x97894))+~P1(f313(f54(x97892),x97895))+E(f313(f313(f74(x97891),f313(f313(f11(x97892,x97891),x97893),x97894)),f313(f313(f11(x97892,x97891),x97893),x97895)),f313(f313(f11(x97892,x97891),x97893),f313(f313(f92(f890(x97892,a881)),x97894),x97895)))+P1(f313(f313(f315(x97892),f469(x97893,x97895,x97894,x97892,x97891)),f313(f313(f93(f890(x97892,a881)),x97894),x97895)))
% 119.46/119.26 [9790]~P75(x97901)+~P1(f313(f54(x97902),x97904))+~P1(f313(f54(x97902),x97905))+E(f313(f313(f74(x97901),f313(f313(f11(x97902,x97901),x97903),x97904)),f313(f313(f11(x97902,x97901),x97903),x97905)),f313(f313(f11(x97902,x97901),x97903),f313(f313(f92(f890(x97902,a881)),x97904),x97905)))+P1(f313(f313(f315(x97902),f471(x97903,x97905,x97904,x97902,x97901)),f313(f313(f93(f890(x97902,a881)),x97904),x97905)))
% 119.46/119.26 [9795]~P39(f890(x97953,a881),f890(x97953,a881),x97954)+P1(f313(x97951,x97952))+~E(x97955,f86(f890(x97953,a881),x97954))+~P1(f313(f313(f315(x97953),x97952),x97955))+P1(f313(f313(f315(x97953),f544(x97951,x97952,x97954,x97953,x97955)),f313(x97954,f313(f313(f93(f890(x97953,a881)),x97955),f313(f250(x97953),x97951)))))
% 119.46/119.26 [9803]~P93(x98035)+~P1(f313(f54(x98031),x98034))+P1(f313(f313(f222(x98035),f313(f313(f8(x98031,x98035),x98032),x98033)),f313(f313(f8(x98031,x98035),x98032),x98034)))+~P1(f313(f313(f222(f890(x98031,a881)),x98033),x98034))+P1(f313(f313(f315(x98031),f402(x98032,x98033,x98034,x98031,x98035)),f313(f313(f3(f890(x98031,a881)),x98034),x98033)))
% 119.46/119.26 [9852]~P75(x98521)+~P1(f313(f54(x98522),x98524))+~P1(f313(f54(x98522),x98525))+E(f313(f313(f74(x98521),f313(f313(f313(f58(x98521,x98522,f74(x98521)),x98523),f71(x98521)),x98524)),f313(f313(f313(f58(x98521,x98522,f74(x98521)),x98523),f71(x98521)),x98525)),f313(f313(f313(f58(x98521,x98522,f74(x98521)),x98523),f71(x98521)),f313(f313(f92(f890(x98522,a881)),x98524),x98525)))+P1(f313(f313(f315(x98522),f488(x98523,x98525,x98524,x98522,x98521)),f313(f313(f93(f890(x98522,a881)),x98524),x98525)))
% 119.46/119.26 [8807]~P18(x88071,x88074,x88075)+~P1(f313(f54(x88071),x88072))+E(f313(f313(f3(f890(x88071,a881)),x88072),f313(f313(f295(x88071),x88073),f178(f890(x88071,a881)))),f178(f890(x88071,a881)))+~P1(f313(f313(f315(x88071),x88073),x88072))+E(f313(f313(x88074,x88073),f313(x88075,f313(f313(f3(f890(x88071,a881)),x88072),f313(f313(f295(x88071),x88073),f178(f890(x88071,a881)))))),f313(x88075,x88072))
% 119.46/119.26 [8882]~P18(x88821,x88824,x88825)+~P1(f313(f54(x88821),x88823))+~P1(f313(f54(x88821),x88822))+E(f313(f313(f93(f890(x88821,a881)),x88822),x88823),f178(f890(x88821,a881)))+E(f313(f313(x88824,f313(x88825,f313(f313(f92(f890(x88821,a881)),x88822),x88823))),f313(x88825,f313(f313(f93(f890(x88821,a881)),x88822),x88823))),f313(f313(x88824,f313(x88825,x88822)),f313(x88825,x88823)))
% 119.46/119.26 [9064]~P39(f890(x90641,a881),f890(x90641,a881),x90644)+~E(x90643,f87(f890(x90641,a881),x90644))+P1(f313(f313(f315(x90641),x90642),x90643))+~P1(f313(f313(f315(x90641),x90642),x90645))+~P1(f313(f313(f222(f890(x90641,a881)),x90645),f313(x90644,f313(f313(f92(f890(x90641,a881)),x90645),x90643))))
% 119.46/119.26 [9444]~P1(f313(f313(f222(a1),x94444),f2(a1)))+~P1(f313(f313(f223(a1),x94443),x94445))+P1(f313(f313(f222(a1),x94441),x94442))+~P1(f313(f313(f223(a1),x94443),x94444))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),f313(f313(f74(a1),x94443),x94442)),x94445)),f313(f313(f73(a1),f313(f313(f74(a1),x94443),x94441)),x94444)))
% 119.46/119.26 [9446]~P1(f313(f313(f222(a1),f2(a1)),x94465))+P1(f313(f313(f222(a1),x94461),x94462))+~P1(f313(f313(f223(a1),x94463),x94464))+~P1(f313(f313(f223(a1),x94465),x94464))+~P1(f313(f313(f222(a1),f313(f313(f73(a1),f313(f313(f74(a1),x94464),x94461)),x94465)),f313(f313(f73(a1),f313(f313(f74(a1),x94464),x94462)),x94463)))
% 119.46/119.26 [9565]~P71(x95655)+E(f313(x95651,f470(x95651,x95652,x95653,x95654,x95655)),f2(x95655))+~P1(f313(f54(x95654),x95653))+~P1(f313(f54(x95654),x95652))+E(f313(f313(f277(x95655),f313(f313(f74(x95655),f313(f313(f11(x95654,x95655),x95651),x95653)),f313(f313(f11(x95654,x95655),x95651),x95652))),f313(f313(f11(x95654,x95655),x95651),f313(f313(f93(f890(x95654,a881)),x95653),x95652))),f313(f313(f11(x95654,x95655),x95651),f313(f313(f92(f890(x95654,a881)),x95653),x95652)))
% 119.46/119.26 [9844]~P71(x98441)+~P1(f313(f54(x98442),x98444))+~P1(f313(f54(x98442),x98445))+E(f313(f313(f277(x98441),f313(f313(f74(x98441),f313(f313(f11(x98442,x98441),x98443),x98444)),f313(f313(f11(x98442,x98441),x98443),x98445))),f313(f313(f11(x98442,x98441),x98443),f313(f313(f93(f890(x98442,a881)),x98444),x98445))),f313(f313(f11(x98442,x98441),x98443),f313(f313(f92(f890(x98442,a881)),x98444),x98445)))+P1(f313(f313(f315(x98442),f470(x98443,x98445,x98444,x98442,x98441)),f313(f313(f93(f890(x98442,a881)),x98444),x98445)))
% 119.46/119.26 [9155]E(f313(f313(f122(x91551),x91552),x91553),f313(f313(f122(x91551),x91554),x91555))+~E(f313(f313(f163(x91551),f313(f179(f885(x91551)),x91554)),x91552),x91554)+~E(f313(f313(f163(x91551),f313(f179(f885(x91551)),x91552)),x91554),x91552)+~E(x91555,f313(f313(f122(x91551),f313(f313(f126(x91551),f313(f179(f885(x91551)),x91554)),x91552)),x91553))+~E(f313(f313(f122(x91551),f313(f313(f126(x91551),f313(f179(f885(x91551)),x91552)),x91554)),x91555),x91553)
% 119.46/119.26 [9563]~P4(x95632)+E(f313(f313(f136(x95631,x95632,x95633),x95634),f158(x95631,x95634,x95635)),x95635)+~P13(x95632,f313(f313(f142(x95631,x95632),x95633),x95635))+~P1(f313(f313(f315(x95631),x95634),f313(f160(x95631),x95635)))+~E(f313(f129(x95631),f313(f124(x95631,f313(f313(f10(x95632,a881,x95631),f313(a310,f313(x95633,x95634))),x95633)),x95635)),x95634)
% 119.46/119.26 [9905]~P64(x99051)+~P1(f313(f59(x99051,x99051,f74(x99051),x99052,x99053),x99055))+~P1(f313(f313(f315(x99051),x99054),x99053))+P1(f313(f313(f315(x99051),x99052),x99053))+P1(f313(f59(x99051,x99051,f74(x99051),x99054,f313(f313(f295(x99051),x99052),f313(f313(f3(f890(x99051,a881)),x99053),f313(f313(f295(x99051),x99054),f178(f890(x99051,a881)))))),x99055))
% 119.46/119.26 [10261]~P39(f890(x102611,a881),f890(x102611,a881),x102614)+~E(x102613,f87(f890(x102611,a881),x102614))+P1(f313(f313(f315(x102611),x102612),x102613))+~P1(f313(f313(f315(x102611),x102612),x102615))+~P1(f313(f313(f222(f890(x102611,a881)),x102615),f313(x102614,f86(f890(x102611,a881),f313(f313(f9(f890(x102611,a881),f890(x102611,a881),f890(x102611,a881)),f313(f313(f10(f890(x102611,a881),f890(f890(x102611,a881),f890(x102611,a881)),f890(x102611,a881)),f92(f890(x102611,a881))),f313(f313(f9(f890(x102611,a881),f890(x102611,a881),f890(x102611,a881)),f313(f313(f10(f890(x102611,a881),f890(f890(x102611,a881),f890(x102611,a881)),f890(x102611,a881)),f92(f890(x102611,a881))),x102614)),x102615))),x102613)))))
% 119.46/119.26 [7310]E(x73101,x73102)+~P24(x73104,x73105,x73103,x73106)+~E(f313(x73103,x73101),f313(x73103,x73102))+~P1(f313(f313(f315(x73104),x73102),x73106))+~P1(f313(f313(f315(x73104),x73101),x73106))
% 119.46/119.26 [7311]E(x73111,x73112)+~P24(x73114,x73115,x73113,x73116)+~E(f313(x73113,x73111),f313(x73113,x73112))+~P1(f313(f313(f315(x73114),x73112),x73116))+~P1(f313(f313(f315(x73114),x73111),x73116))
% 119.46/119.26 [7312]E(x73121,x73122)+~P24(x73124,x73125,x73123,x73126)+~E(f313(x73123,x73121),f313(x73123,x73122))+~P1(f313(f313(f315(x73124),x73122),x73126))+~P1(f313(f313(f315(x73124),x73121),x73126))
% 119.46/119.26 [7313]E(x73131,x73132)+~P24(x73134,x73135,x73133,x73136)+~E(f313(x73133,x73131),f313(x73133,x73132))+~P1(f313(f313(f315(x73134),x73132),x73136))+~P1(f313(f313(f315(x73134),x73131),x73136))
% 119.46/119.26 [6533]~P149(x65334)+E(x65331,x65332)+~E(x65335,x65336)+E(x65333,f2(x65334))+~E(f313(f313(f73(x65334),x65335),f313(f313(f74(x65334),x65333),x65331)),f313(f313(f73(x65334),x65336),f313(f313(f74(x65334),x65333),x65332)))
% 119.46/119.26 [7607]~P4(x76071)+~P5(x76071)+~P1(f313(f313(f223(x76071),x76072),f313(x76075,x76076)))+~P1(f313(f313(f315(x76073),x76076),x76074))+P1(f313(f313(f223(x76071),x76072),f313(f313(f33(x76073,x76071),x76074),x76075)))
% 119.46/119.26 [10068]~P120(x100686)+~P1(f313(f54(x100681),x100685))+P1(f313(f313(f315(x100681),f596(x100682,x100683,x100684,x100685,x100681,x100686)),x100684))+P1(f313(f313(f273(x100686),f313(f313(f11(x100681,x100686),x100683),x100684)),f313(f313(f11(x100681,x100686),x100682),x100685)))+~P1(f313(f313(f222(f890(x100681,a881)),x100684),x100685))
% 119.46/119.26 [10191]~P120(x101911)+~P1(f313(f54(x101912),x101916))+~P1(f313(f313(f273(x101911),f313(x101913,f596(x101915,x101913,x101914,x101916,x101912,x101911))),f313(x101915,f596(x101915,x101913,x101914,x101916,x101912,x101911))))+P1(f313(f313(f273(x101911),f313(f313(f11(x101912,x101911),x101913),x101914)),f313(f313(f11(x101912,x101911),x101915),x101916)))+~P1(f313(f313(f222(f890(x101912,a881)),x101914),x101916))
% 119.46/119.26 [8289]~P4(x82891)+~P5(x82891)+~P1(f313(f313(f223(x82891),f313(x82894,x82896)),x82895))+~P1(f313(f313(f315(x82892),x82896),x82893))+P1(f313(f313(f223(x82891),f313(f313(f32(x82892,x82891),x82893),x82894)),x82895))
% 119.46/119.26 [8541]~P19(x85412,x85415,x85416,x85411)+~P1(f313(f54(x85412),x85414))+~P1(f313(f54(x85412),x85413))+~E(f313(f313(f93(f890(x85412,a881)),x85413),x85414),f178(f890(x85412,a881)))+E(f313(x85411,f313(f313(f92(f890(x85412,a881)),x85413),x85414)),f313(f66(x85415,x85415,x85415,f313(x85411,x85413)),f313(x85411,x85414)))
% 119.46/119.26 [9245]~P125(x92451)+~P122(x92451)+~P1(f313(f313(f273(x92451),x92452),x92455))+~P1(f313(f313(f273(x92451),x92452),f313(f313(f73(x92451),x92453),x92456)))+P1(f313(f313(f273(x92451),x92452),f313(f313(f73(x92451),f313(f313(f3(x92451),x92453),f313(f313(f74(x92451),x92454),x92455))),x92456)))
% 119.46/119.26 [9246]~P125(x92461)+~P122(x92461)+~P1(f313(f313(f273(x92461),x92462),x92465))+~P1(f313(f313(f273(x92461),x92462),f313(f313(f73(x92461),x92463),x92466)))+P1(f313(f313(f273(x92461),x92462),f313(f313(f73(x92461),f313(f313(f3(x92461),x92463),f313(f313(f74(x92461),x92464),x92465))),x92466)))
% 119.46/119.26 [9432]~P125(x94321)+~P122(x94321)+~P1(f313(f313(f273(x94321),x94322),x94325))+P1(f313(f313(f273(x94321),x94322),f313(f313(f73(x94321),x94323),x94324)))+~P1(f313(f313(f273(x94321),x94322),f313(f313(f73(x94321),f313(f313(f3(x94321),x94323),f313(f313(f74(x94321),x94326),x94325))),x94324)))
% 119.46/119.26 [9433]~P125(x94331)+~P122(x94331)+~P1(f313(f313(f273(x94331),x94332),x94335))+P1(f313(f313(f273(x94331),x94332),f313(f313(f73(x94331),x94333),x94334)))+~P1(f313(f313(f273(x94331),x94332),f313(f313(f73(x94331),f313(f313(f3(x94331),x94333),f313(f313(f74(x94331),x94336),x94335))),x94334)))
% 119.46/119.26 [8852]E(x88521,x88522)+~P59(x88524,x88525,x88526,x88523,x88527)+~E(f313(x88523,x88521),f313(x88523,x88522))+~P1(f313(f313(f315(x88525),x88522),x88527))+~P1(f313(f313(f315(x88525),x88521),x88527))
% 119.46/119.26 [10152]~P1(f313(x101522,x101524))+~E(x101525,f313(f124(x101521,x101522),x101527))+E(f313(f124(x101521,x101522),x101523),f313(f313(f139(x101521),x101524),x101525))+~E(x101523,f313(f313(f122(x101521),x101526),f313(f313(f139(x101521),x101524),x101527)))+P1(f313(x101522,f767(x101525,x101524,x101523,x101522,x101521,x101526,x101527)))
% 119.46/119.26 [10153]~P1(f313(x101534,x101532))+~E(x101533,f313(f124(x101531,x101534),x101537))+E(f313(f313(f139(x101531),x101532),x101533),f313(f124(x101531,x101534),x101535))+~E(x101535,f313(f313(f122(x101531),x101536),f313(f313(f139(x101531),x101532),x101537)))+P1(f313(x101534,f765(x101535,x101534,x101533,x101532,x101531,x101536,x101537)))
% 119.46/119.26 [10198]~P1(f313(x101982,x101984))+~E(x101985,f313(f124(x101981,x101982),x101987))+E(f313(f124(x101981,x101982),x101983),f313(f313(f139(x101981),x101984),x101985))+~E(x101983,f313(f313(f122(x101981),x101986),f313(f313(f139(x101981),x101984),x101987)))+P1(f313(f313(f315(x101981),f767(x101985,x101984,x101983,x101982,x101981,x101986,x101987)),f313(f160(x101981),x101986)))
% 119.46/119.26 [10199]~P1(f313(x101994,x101992))+~E(x101993,f313(f124(x101991,x101994),x101997))+E(f313(f313(f139(x101991),x101992),x101993),f313(f124(x101991,x101994),x101995))+~E(x101995,f313(f313(f122(x101991),x101996),f313(f313(f139(x101991),x101992),x101997)))+P1(f313(f313(f315(x101991),f765(x101995,x101994,x101993,x101992,x101991,x101996,x101997)),f313(f160(x101991),x101996)))
% 119.46/119.26 [10202]~P8(x102021,x102027,x102026)+~P11(x102021,f890(x102025,a881),x102026,x102024)+P1(f313(f313(f315(x102021),f459(x102022,x102023,x102024,x102025,x102026,x102027,x102021)),x102027))+~P1(f313(f313(f315(f890(x102021,a881)),x102023),f313(f313(f53(x102021),x102027),x102026)))+P1(f313(f313(f315(f890(x102025,a881)),f313(f313(f33(x102021,f890(x102025,a881)),x102023),x102024)),x102022))
% 119.46/119.26 [10256]~P8(x102562,x102566,x102567)+~P11(x102562,f890(x102561,a881),x102567,x102564)+~P1(f313(f313(f315(f890(x102562,a881)),x102563),f313(f313(f53(x102562),x102566),x102567)))+~P1(f313(f313(f315(f890(x102561,a881)),f313(x102564,f459(x102565,x102563,x102564,x102561,x102567,x102566,x102562))),x102565))+P1(f313(f313(f315(f890(x102561,a881)),f313(f313(f33(x102562,f890(x102561,a881)),x102563),x102564)),x102565))
% 119.46/119.26 [8458]~P75(x84582)+~P24(x84581,x84585,x84588,x84584)+~E(x84583,f313(f66(x84585,x84582,x84581,x84586),x84588))+~E(x84587,f313(f296(x84581,x84585,x84588),x84584))+E(f313(f313(f11(x84581,x84582),x84583),x84584),f313(f313(f11(x84585,x84582),x84586),x84587))
% 119.46/119.26 [10260]~P75(x102602)+~P24(x102605,x102601,x102608,x102607)+~E(f313(x102606,f581(x102603,x102606,x102604,x102607,x102608,x102601,x102605,x102602)),f313(f313(f66(x102601,x102602,x102605,x102603),x102608),f581(x102603,x102606,x102604,x102607,x102608,x102601,x102605,x102602)))+~E(x102604,f313(f296(x102605,x102601,x102608),x102607))+E(f313(f313(f11(x102601,x102602),x102603),x102604),f313(f313(f11(x102605,x102602),x102606),x102607))
% 119.46/119.26 [10265]~P79(x102652)+~P24(x102651,x102655,x102658,x102654)+~E(x102657,f313(f296(x102651,x102655,x102658),x102654))+E(f313(f313(f8(x102651,x102652),x102653),x102654),f313(f313(f8(x102655,x102652),x102656),x102657))+P1(f313(f313(f315(x102651),f600(x102656,x102653,x102657,x102654,x102658,x102655,x102651,x102652)),x102654))
% 119.46/119.26 [10266]~P75(x102662)+~P24(x102661,x102665,x102668,x102664)+~E(x102667,f313(f296(x102661,x102665,x102668),x102664))+E(f313(f313(f11(x102661,x102662),x102663),x102664),f313(f313(f11(x102665,x102662),x102666),x102667))+P1(f313(f313(f315(x102661),f581(x102666,x102663,x102667,x102664,x102668,x102665,x102661,x102662)),x102664))
% 119.46/119.26 [10271]~P79(x102712)+~P24(x102715,x102711,x102718,x102717)+~E(x102714,f313(f296(x102715,x102711,x102718),x102717))+~E(f313(x102716,f600(x102713,x102716,x102714,x102717,x102718,x102711,x102715,x102712)),f313(x102713,f313(x102718,f600(x102713,x102716,x102714,x102717,x102718,x102711,x102715,x102712))))+E(f313(f313(f8(x102711,x102712),x102713),x102714),f313(f313(f8(x102715,x102712),x102716),x102717))
% 119.46/119.26 [9730]~P23(x97306,x97302,x97305,x97307,x97308,x97301)+~P1(f313(f54(x97302),x97304))+~P1(f313(f54(x97302),x97303))+~E(f313(f313(f93(f890(x97302,a881)),x97303),x97304),f178(f890(x97302,a881)))+E(f313(x97301,f313(f313(f92(f890(x97302,a881)),x97303),x97304)),f313(f313(x97305,f313(x97301,x97303)),f313(x97301,x97304)))
% 119.46/119.26 [10141]~P23(x101418,x101412,x101415,x101417,x101416,x101411)+~E(f313(x101416,f535(x101414,x101413,x101411,x101416,x101417,x101415,x101412)),x101417)+~P1(f313(f54(x101412),x101413))+~P1(f313(f54(x101412),x101414))+E(f313(x101411,f313(f313(f92(f890(x101412,a881)),x101413),x101414)),f313(f313(x101415,f313(x101411,x101413)),f313(x101411,x101414)))
% 119.46/119.26 [10209]~P23(x102098,x102092,x102095,x102097,x102096,x102091)+~P1(f313(f54(x102092),x102093))+~P1(f313(f54(x102092),x102094))+E(f313(x102091,f313(f313(f92(f890(x102092,a881)),x102093),x102094)),f313(f313(x102095,f313(x102091,x102093)),f313(x102091,x102094)))+P1(f313(f313(f315(x102092),f535(x102094,x102093,x102091,x102096,x102097,x102095,x102092)),f313(f313(f93(f890(x102092,a881)),x102093),x102094)))
% 119.46/119.26 [9893]~P8(x98934,x98938,x98935)+~P8(x98931,x98939,x98933)+~P12(x98931,x98934,f890(x98932,a881),x98933,x98935,x98937)+P11(x98931,f890(x98932,a881),x98933,f313(f313(f10(f890(x98934,f890(x98932,a881)),f890(x98932,a881),x98931),f313(f33(x98934,f890(x98932,a881)),f313(f271(x98934,x98934,x98935),f313(f313(f295(x98934),x98936),f178(f890(x98934,a881)))))),x98937))+~P1(f313(f313(f315(x98934),x98936),x98938))
% 119.46/119.26 [5395]~P4(x53953)+~P13(x53953,x53951)+E(x53951,f739(x53952,x53953))+~E(f313(f160(x53953),x53951),x53952)+~P1(f313(f54(x53953),x53952))+~P1(f313(f125(x53953),x53951))
% 119.46/119.26 [7304]P15(x73041,x73042)+~E(f313(x73042,f818(x73042)),f313(x73042,f819(x73042)))+~P1(f313(f313(x73042,f818(x73042)),f818(x73042)))+~P1(f313(f313(x73042,f818(x73042)),f819(x73042)))+~P1(f313(f313(x73042,f819(x73042)),f819(x73042)))+~P1(f313(f313(x73042,x73043),x73043))
% 119.46/119.26 [5012]~P116(x50122)+~P131(x50122)+~P137(x50122)+~P148(x50122)+E(x50121,f2(x50122))+~E(f313(f313(f232(x50122),x50121),x50123),f2(x50122))
% 119.46/119.26 [5013]~P116(x50132)+~P131(x50132)+~P137(x50132)+~P148(x50132)+~E(x50131,f2(a883))+~E(f313(f313(f232(x50132),x50133),x50131),f2(x50132))
% 119.46/119.26 [6515]~P93(x65151)+~E(x65153,f2(x65151))+~E(x65152,f2(x65151))+E(f313(f313(f73(x65151),x65152),x65153),f2(x65151))+~P1(f313(f313(f222(x65151),f2(x65151)),x65153))+~P1(f313(f313(f222(x65151),f2(x65151)),x65152))
% 119.46/119.26 [8900]E(x89001,f2(a883))+~E(x89002,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x89003)),x89001)),f313(f244(a883,a883),x89003)))+P1(f313(f41(x89002,x89001),x89003))+~P1(f313(f313(f222(a883),f313(f244(a883,a883),x89003)),f2(a883)))+P1(f313(f313(f223(a883),f2(a883)),x89001))+~P1(f313(f313(f223(a883),x89001),f313(f244(a883,a883),x89003)))
% 119.46/119.26 [8919]~E(f313(f239(a883,a883),x89193),f2(a883))+~E(x89191,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x89193)),x89192)),f313(f244(a883,a883),x89193)))+P1(f313(f41(x89191,x89192),x89193))+~P1(f313(f313(f222(a883),f313(f244(a883,a883),x89193)),f2(a883)))+P1(f313(f313(f223(a883),f2(a883)),x89192))+~P1(f313(f313(f223(a883),x89192),f313(f244(a883,a883),x89193)))
% 119.46/119.26 [8927]E(x89271,f2(a883))+~E(x89272,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x89273)),x89271)),f313(f244(a883,a883),x89273)))+P1(f313(f41(x89272,x89271),x89273))+~P1(f313(f313(f223(a883),f2(a883)),x89271))+~P1(f313(f313(f222(a883),f2(a883)),f313(f244(a883,a883),x89273)))+~P1(f313(f313(f223(a883),f313(f244(a883,a883),x89273)),x89271))
% 119.46/119.26 [8947]~E(f313(f239(a883,a883),x89473),f2(a883))+~E(x89471,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x89473)),x89472)),f313(f244(a883,a883),x89473)))+P1(f313(f41(x89471,x89472),x89473))+~P1(f313(f313(f223(a883),f2(a883)),x89472))+~P1(f313(f313(f222(a883),f2(a883)),f313(f244(a883,a883),x89473)))+~P1(f313(f313(f223(a883),f313(f244(a883,a883),x89473)),x89472))
% 119.46/119.26 [6922]~P103(x69222)+E(x69221,f178(f890(x69222,a881)))+E(x69223,f178(f890(x69222,a881)))+~P1(f313(f54(x69222),x69221))+~P1(f313(f54(x69222),x69223))+E(f15(x69222,f313(f313(f92(f890(x69222,a881)),x69223),x69221)),f313(f313(f92(x69222),f15(x69222,x69223)),f15(x69222,x69221)))
% 119.46/119.26 [6923]~P4(x69232)+E(x69231,f178(f890(x69232,a881)))+E(x69233,f178(f890(x69232,a881)))+~P1(f313(f54(x69232),x69231))+~P1(f313(f54(x69232),x69233))+E(f16(x69232,f313(f313(f92(f890(x69232,a881)),x69233),x69231)),f313(f313(f177(x69232),f16(x69232,x69233)),f16(x69232,x69231)))
% 119.46/119.26 [6924]~P4(x69242)+E(x69241,f178(f890(x69242,a881)))+E(x69243,f178(f890(x69242,a881)))+~P1(f313(f54(x69242),x69241))+~P1(f313(f54(x69242),x69243))+E(f17(x69242,f313(f313(f92(f890(x69242,a881)),x69243),x69241)),f313(f313(f227(x69242),f17(x69242,x69243)),f17(x69242,x69241)))
% 119.46/119.26 [6925]~P103(x69252)+E(x69251,f178(f890(x69252,a881)))+E(x69253,f178(f890(x69252,a881)))+~P1(f313(f54(x69252),x69251))+~P1(f313(f54(x69252),x69253))+E(f12(x69252,f313(f313(f92(f890(x69252,a881)),x69253),x69251)),f313(f313(f93(x69252),f12(x69252,x69253)),f12(x69252,x69251)))
% 119.46/119.26 [7581]~P101(x75812)+E(x75811,f178(f890(x75812,a881)))+E(x75813,f178(f890(x75812,a881)))+~P1(f313(f54(x75812),x75811))+~P1(f313(f54(x75812),x75813))+E(f313(f313(f74(x75812),f313(f56(x75812,f74(x75812)),x75813)),f313(f56(x75812,f74(x75812)),x75811)),f313(f56(x75812,f74(x75812)),f313(f313(f92(f890(x75812,a881)),x75813),x75811)))
% 119.46/119.26 [7743]~P4(x77432)+E(x77431,f178(f890(x77432,a881)))+E(x77433,f178(f890(x77432,a881)))+~P1(f313(f54(x77432),x77431))+~P1(f313(f54(x77432),x77433))+E(f313(f313(f177(x77432),f13(x77432,f177(x77432),x77433)),f13(x77432,f177(x77432),x77431)),f13(x77432,f177(x77432),f313(f313(f92(f890(x77432,a881)),x77433),x77431)))
% 119.46/119.26 [7744]~P4(x77442)+E(x77441,f178(f890(x77442,a881)))+E(x77443,f178(f890(x77442,a881)))+~P1(f313(f54(x77442),x77441))+~P1(f313(f54(x77442),x77443))+E(f313(f313(f227(x77442),f14(x77442,f227(x77442),x77443)),f14(x77442,f227(x77442),x77441)),f14(x77442,f227(x77442),f313(f313(f92(f890(x77442,a881)),x77443),x77441)))
% 119.46/119.26 [8761]~P1(f313(x87611,x87613))+P1(f313(x87611,f322(x87611,x87612)))+P1(f313(x87611,f873(x87611,x87612)))+~P1(f313(f313(f223(a1),f2(a1)),x87612))+~P1(f313(f313(f315(a1),x87613),f289(a1,f71(a1),x87612)))+P1(f313(x87611,f313(f313(f3(a1),f873(x87611,x87612)),f313(f313(f74(a1),f879(x87611,x87612)),x87612))))
% 119.46/119.26 [9054]~P1(f313(x90541,x90543))+~P1(f313(x90541,f873(x90541,x90542)))+P1(f313(x90541,f322(x90541,x90542)))+~P1(f313(f313(f223(a1),f2(a1)),x90542))+~P1(f313(f313(f315(a1),x90543),f289(a1,f71(a1),x90542)))+~P1(f313(x90541,f313(f313(f3(a1),f873(x90541,x90542)),f313(f313(f74(a1),f879(x90541,x90542)),x90542))))
% 119.46/119.26 [10293]~P106(x102932)+E(x102931,f178(f890(x102932,a881)))+E(x102933,f178(f890(x102932,a881)))+~P1(f313(f54(x102932),x102931))+~P1(f313(f54(x102932),x102933))+E(f12(x102932,f313(f250(x102932),f313(f313(f10(f890(x102932,a881),a881,x102932),f80(x102932)),f313(f313(f10(f890(x102932,f890(x102932,a881)),f890(x102932,a881),x102932),f313(f10(f890(x102932,a881),a881,x102932),f80(x102932))),f313(f313(f9(x102932,f890(x102932,f890(x102932,a881)),f890(x102932,f890(x102932,a881))),f313(f313(f10(f890(x102932,f890(f890(x102932,a881),f890(x102932,a881))),f890(f890(x102932,f890(x102932,a881)),f890(x102932,f890(x102932,a881))),x102932),f20(x102932,f890(x102932,a881),f890(x102932,a881))),f313(f313(f10(f890(x102932,f890(x102932,f890(a881,a881))),f890(x102932,f890(f890(x102932,a881),f890(x102932,a881))),x102932),f313(f10(f890(x102932,f890(a881,a881)),f890(f890(x102932,a881),f890(x102932,a881)),x102932),f20(x102932,a881,a881))),f313(f313(f10(f890(x102932,f890(x102932,a881)),f890(x102932,f890(x102932,f890(a881,a881))),x102932),f313(f10(f890(x102932,a881),f890(x102932,f890(a881,a881)),x102932),f313(f10(a881,f890(a881,a881),x102932),a311))),f313(f313(f9(x102932,f890(x102932,f890(x102932,x102932)),f890(x102932,f890(x102932,a881))),f313(f313(f10(f890(f890(x102932,x102932),f890(x102932,a881)),f890(f890(x102932,f890(x102932,x102932)),f890(x102932,f890(x102932,a881))),x102932),f10(f890(x102932,x102932),f890(x102932,a881),x102932)),f313(f313(f10(f890(x102932,a881),f890(f890(x102932,x102932),f890(x102932,a881)),x102932),f10(x102932,a881,x102932)),a310))),f92(x102932)))))),f313(f313(f9(x102932,f890(x102932,a881),f890(x102932,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x102932,a881),f890(x102932,a881)),x102932),f10(a881,a881,x102932)),f313(f313(f10(a881,f890(a881,a881),x102932),a311),f313(f313(f9(x102932,f890(x102932,a881),a881),f315(x102932)),x102933)))),f313(f313(f9(x102932,f890(x102932,a881),a881),f315(x102932)),x102931))))))),f313(f313(f92(x102932),f12(x102932,x102933)),f12(x102932,x102931)))
% 119.46/119.26 [10294]~P106(x102942)+E(x102941,f178(f890(x102942,a881)))+E(x102943,f178(f890(x102942,a881)))+~P1(f313(f54(x102942),x102941))+~P1(f313(f54(x102942),x102943))+E(f15(x102942,f313(f250(x102942),f313(f313(f10(f890(x102942,a881),a881,x102942),f80(x102942)),f313(f313(f10(f890(x102942,f890(x102942,a881)),f890(x102942,a881),x102942),f313(f10(f890(x102942,a881),a881,x102942),f80(x102942))),f313(f313(f9(x102942,f890(x102942,f890(x102942,a881)),f890(x102942,f890(x102942,a881))),f313(f313(f10(f890(x102942,f890(f890(x102942,a881),f890(x102942,a881))),f890(f890(x102942,f890(x102942,a881)),f890(x102942,f890(x102942,a881))),x102942),f20(x102942,f890(x102942,a881),f890(x102942,a881))),f313(f313(f10(f890(x102942,f890(x102942,f890(a881,a881))),f890(x102942,f890(f890(x102942,a881),f890(x102942,a881))),x102942),f313(f10(f890(x102942,f890(a881,a881)),f890(f890(x102942,a881),f890(x102942,a881)),x102942),f20(x102942,a881,a881))),f313(f313(f10(f890(x102942,f890(x102942,a881)),f890(x102942,f890(x102942,f890(a881,a881))),x102942),f313(f10(f890(x102942,a881),f890(x102942,f890(a881,a881)),x102942),f313(f10(a881,f890(a881,a881),x102942),a311))),f313(f313(f9(x102942,f890(x102942,f890(x102942,x102942)),f890(x102942,f890(x102942,a881))),f313(f313(f10(f890(f890(x102942,x102942),f890(x102942,a881)),f890(f890(x102942,f890(x102942,x102942)),f890(x102942,f890(x102942,a881))),x102942),f10(f890(x102942,x102942),f890(x102942,a881),x102942)),f313(f313(f10(f890(x102942,a881),f890(f890(x102942,x102942),f890(x102942,a881)),x102942),f10(x102942,a881,x102942)),a310))),f93(x102942)))))),f313(f313(f9(x102942,f890(x102942,a881),f890(x102942,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x102942,a881),f890(x102942,a881)),x102942),f10(a881,a881,x102942)),f313(f313(f10(a881,f890(a881,a881),x102942),a311),f313(f313(f9(x102942,f890(x102942,a881),a881),f315(x102942)),x102943)))),f313(f313(f9(x102942,f890(x102942,a881),a881),f315(x102942)),x102941))))))),f313(f313(f93(x102942),f15(x102942,x102943)),f15(x102942,x102941)))
% 119.46/119.26 [10295]~P4(x102952)+E(x102951,f178(f890(x102952,a881)))+E(x102953,f178(f890(x102952,a881)))+~P1(f313(f54(x102952),x102951))+~P1(f313(f54(x102952),x102953))+E(f13(x102952,f177(x102952),f313(f250(x102952),f313(f313(f10(f890(x102952,a881),a881,x102952),f80(x102952)),f313(f313(f10(f890(x102952,f890(x102952,a881)),f890(x102952,a881),x102952),f313(f10(f890(x102952,a881),a881,x102952),f80(x102952))),f313(f313(f9(x102952,f890(x102952,f890(x102952,a881)),f890(x102952,f890(x102952,a881))),f313(f313(f10(f890(x102952,f890(f890(x102952,a881),f890(x102952,a881))),f890(f890(x102952,f890(x102952,a881)),f890(x102952,f890(x102952,a881))),x102952),f20(x102952,f890(x102952,a881),f890(x102952,a881))),f313(f313(f10(f890(x102952,f890(x102952,f890(a881,a881))),f890(x102952,f890(f890(x102952,a881),f890(x102952,a881))),x102952),f313(f10(f890(x102952,f890(a881,a881)),f890(f890(x102952,a881),f890(x102952,a881)),x102952),f20(x102952,a881,a881))),f313(f313(f10(f890(x102952,f890(x102952,a881)),f890(x102952,f890(x102952,f890(a881,a881))),x102952),f313(f10(f890(x102952,a881),f890(x102952,f890(a881,a881)),x102952),f313(f10(a881,f890(a881,a881),x102952),a311))),f313(f313(f9(x102952,f890(x102952,f890(x102952,x102952)),f890(x102952,f890(x102952,a881))),f313(f313(f10(f890(f890(x102952,x102952),f890(x102952,a881)),f890(f890(x102952,f890(x102952,x102952)),f890(x102952,f890(x102952,a881))),x102952),f10(f890(x102952,x102952),f890(x102952,a881),x102952)),f313(f313(f10(f890(x102952,a881),f890(f890(x102952,x102952),f890(x102952,a881)),x102952),f10(x102952,a881,x102952)),a310))),f227(x102952)))))),f313(f313(f9(x102952,f890(x102952,a881),f890(x102952,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x102952,a881),f890(x102952,a881)),x102952),f10(a881,a881,x102952)),f313(f313(f10(a881,f890(a881,a881),x102952),a311),f313(f313(f9(x102952,f890(x102952,a881),a881),f315(x102952)),x102953)))),f313(f313(f9(x102952,f890(x102952,a881),a881),f315(x102952)),x102951))))))),f313(f313(f227(x102952),f13(x102952,f177(x102952),x102953)),f13(x102952,f177(x102952),x102951)))
% 119.46/119.26 [10296]~P4(x102962)+E(x102961,f178(f890(x102962,a881)))+E(x102963,f178(f890(x102962,a881)))+~P1(f313(f54(x102962),x102961))+~P1(f313(f54(x102962),x102963))+E(f14(x102962,f227(x102962),f313(f250(x102962),f313(f313(f10(f890(x102962,a881),a881,x102962),f80(x102962)),f313(f313(f10(f890(x102962,f890(x102962,a881)),f890(x102962,a881),x102962),f313(f10(f890(x102962,a881),a881,x102962),f80(x102962))),f313(f313(f9(x102962,f890(x102962,f890(x102962,a881)),f890(x102962,f890(x102962,a881))),f313(f313(f10(f890(x102962,f890(f890(x102962,a881),f890(x102962,a881))),f890(f890(x102962,f890(x102962,a881)),f890(x102962,f890(x102962,a881))),x102962),f20(x102962,f890(x102962,a881),f890(x102962,a881))),f313(f313(f10(f890(x102962,f890(x102962,f890(a881,a881))),f890(x102962,f890(f890(x102962,a881),f890(x102962,a881))),x102962),f313(f10(f890(x102962,f890(a881,a881)),f890(f890(x102962,a881),f890(x102962,a881)),x102962),f20(x102962,a881,a881))),f313(f313(f10(f890(x102962,f890(x102962,a881)),f890(x102962,f890(x102962,f890(a881,a881))),x102962),f313(f10(f890(x102962,a881),f890(x102962,f890(a881,a881)),x102962),f313(f10(a881,f890(a881,a881),x102962),a311))),f313(f313(f9(x102962,f890(x102962,f890(x102962,x102962)),f890(x102962,f890(x102962,a881))),f313(f313(f10(f890(f890(x102962,x102962),f890(x102962,a881)),f890(f890(x102962,f890(x102962,x102962)),f890(x102962,f890(x102962,a881))),x102962),f10(f890(x102962,x102962),f890(x102962,a881),x102962)),f313(f313(f10(f890(x102962,a881),f890(f890(x102962,x102962),f890(x102962,a881)),x102962),f10(x102962,a881,x102962)),a310))),f177(x102962)))))),f313(f313(f9(x102962,f890(x102962,a881),f890(x102962,a881)),f313(f313(f10(f890(a881,a881),f890(f890(x102962,a881),f890(x102962,a881)),x102962),f10(a881,a881,x102962)),f313(f313(f10(a881,f890(a881,a881),x102962),a311),f313(f313(f9(x102962,f890(x102962,a881),a881),f315(x102962)),x102963)))),f313(f313(f9(x102962,f890(x102962,a881),a881),f315(x102962)),x102961))))))),f313(f313(f177(x102962),f14(x102962,f227(x102962),x102963)),f14(x102962,f227(x102962),x102961)))
% 119.46/119.26 [7260]~P114(x72603)+E(x72601,x72602)+~E(f313(f313(f232(x72603),x72601),x72604),f313(f313(f232(x72603),x72602),x72604))+~P1(f313(f313(f222(x72603),f2(x72603)),x72602))+~P1(f313(f313(f222(x72603),f2(x72603)),x72601))+~P1(f313(f313(f223(a883),f2(a883)),x72604))
% 119.46/119.26 [8094]~P72(x80941)+~P99(x80941)+P1(f313(f313(f223(x80941),x80942),f2(x80941)))+P1(f313(f313(f223(x80941),f2(x80941)),x80942))+P1(f313(f313(f222(x80941),f313(f313(f277(x80941),x80943),x80942)),f313(f95(x80941),x80944)))+~P1(f313(f313(f222(x80941),f2(x80941)),f313(f95(x80941),x80944)))
% 119.46/119.26 [8095]~P72(x80951)+~P99(x80951)+P1(f313(f313(f223(x80951),x80952),f2(x80951)))+P1(f313(f313(f223(x80951),f2(x80951)),x80952))+P1(f313(f313(f223(x80951),f313(f313(f277(x80951),x80953),x80952)),f313(f95(x80951),x80954)))+~P1(f313(f313(f223(x80951),f2(x80951)),f313(f95(x80951),x80954)))
% 119.46/119.26 [8336]~P72(x83361)+~P99(x83361)+P1(f313(f313(f223(x83361),x83362),f2(x83361)))+P1(f313(f313(f223(x83361),f2(x83361)),x83362))+~P1(f313(f313(f222(x83361),f313(f313(f277(x83361),x83364),x83362)),f313(f95(x83361),x83363)))+P1(f313(f313(f222(x83361),f2(x83361)),f313(f95(x83361),x83363)))
% 119.46/119.26 [8337]~P72(x83371)+~P99(x83371)+P1(f313(f313(f223(x83371),x83372),f2(x83371)))+P1(f313(f313(f223(x83371),f2(x83371)),x83372))+~P1(f313(f313(f223(x83371),f313(f313(f277(x83371),x83374),x83372)),f313(f95(x83371),x83373)))+P1(f313(f313(f223(x83371),f2(x83371)),f313(f95(x83371),x83373)))
% 119.46/119.26 [7540]~P4(x75402)+E(x75401,f178(f890(x75402,a881)))+~P1(f313(f54(x75402),x75401))+~P1(f313(f313(f315(x75402),x75404),x75401))+P1(f313(f313(f222(x75402),x75403),x75404))+~P1(f313(f313(f222(x75402),x75403),f313(f56(x75402,f227(x75402)),x75401)))
% 119.46/119.26 [7541]~P108(x75412)+E(x75411,f178(f890(x75412,a881)))+~P1(f313(f54(x75412),x75411))+~P1(f313(f313(f315(x75412),x75414),x75411))+P1(f313(f313(f222(x75412),x75413),x75414))+~P1(f313(f313(f222(x75412),x75413),f313(f56(x75412,f93(x75412)),x75411)))
% 119.46/119.26 [7542]~P4(x75422)+E(x75421,f178(f890(x75422,a881)))+~P1(f313(f54(x75422),x75421))+~P1(f313(f313(f315(x75422),x75424),x75421))+P1(f313(f313(f223(x75422),x75423),x75424))+~P1(f313(f313(f223(x75422),x75423),f313(f56(x75422,f227(x75422)),x75421)))
% 119.46/119.26 [8048]~P72(x80481)+~P99(x80481)+P1(f313(f313(f223(x80481),f313(f95(x80481),x80482)),f2(x80481)))+~P1(f313(f313(f222(x80481),x80483),f2(x80481)))+P1(f313(f313(f223(x80481),f2(x80481)),f313(f95(x80481),x80482)))+P1(f313(f313(f222(x80481),x80483),f313(f313(f277(x80481),x80484),f313(f95(x80481),x80482))))
% 119.46/119.26 [8049]~P72(x80491)+~P99(x80491)+P1(f313(f313(f223(x80491),f313(f95(x80491),x80492)),f2(x80491)))+~P1(f313(f313(f223(x80491),x80493),f2(x80491)))+P1(f313(f313(f223(x80491),f2(x80491)),f313(f95(x80491),x80492)))+P1(f313(f313(f223(x80491),x80493),f313(f313(f277(x80491),x80494),f313(f95(x80491),x80492))))
% 119.46/119.26 [8061]~P72(x80611)+~P99(x80611)+P1(f313(f313(f223(x80611),x80612),f2(x80611)))+~P1(f313(f313(f222(x80611),f313(f95(x80611),x80613)),f2(x80611)))+P1(f313(f313(f223(x80611),f2(x80611)),x80612))+P1(f313(f313(f222(x80611),f313(f95(x80611),x80613)),f313(f313(f277(x80611),x80614),x80612)))
% 119.46/119.26 [8062]~P72(x80621)+~P99(x80621)+P1(f313(f313(f223(x80621),x80622),f2(x80621)))+~P1(f313(f313(f223(x80621),f313(f95(x80621),x80623)),f2(x80621)))+P1(f313(f313(f223(x80621),f2(x80621)),x80622))+P1(f313(f313(f223(x80621),f313(f95(x80621),x80623)),f313(f313(f277(x80621),x80624),x80622)))
% 119.46/119.26 [8210]~P72(x82101)+~P99(x82101)+P1(f313(f313(f223(x82101),x82102),f2(x82101)))+P1(f313(f313(f222(x82101),f313(f95(x82101),x82103)),f2(x82101)))+P1(f313(f313(f223(x82101),f2(x82101)),x82102))+~P1(f313(f313(f222(x82101),f313(f95(x82101),x82103)),f313(f313(f277(x82101),x82104),x82102)))
% 119.46/119.26 [8211]~P72(x82111)+~P99(x82111)+P1(f313(f313(f223(x82111),x82112),f2(x82111)))+P1(f313(f313(f223(x82111),f313(f95(x82111),x82113)),f2(x82111)))+P1(f313(f313(f223(x82111),f2(x82111)),x82112))+~P1(f313(f313(f223(x82111),f313(f95(x82111),x82113)),f313(f313(f277(x82111),x82114),x82112)))
% 119.46/119.26 [8283]~P72(x82831)+~P99(x82831)+P1(f313(f313(f222(x82831),x82832),f2(x82831)))+P1(f313(f313(f223(x82831),f313(f95(x82831),x82833)),f2(x82831)))+P1(f313(f313(f223(x82831),f2(x82831)),f313(f95(x82831),x82833)))+~P1(f313(f313(f222(x82831),x82832),f313(f313(f277(x82831),x82834),f313(f95(x82831),x82833))))
% 119.46/119.26 [8284]~P72(x82841)+~P99(x82841)+P1(f313(f313(f223(x82841),x82842),f2(x82841)))+P1(f313(f313(f223(x82841),f313(f95(x82841),x82843)),f2(x82841)))+P1(f313(f313(f223(x82841),f2(x82841)),f313(f95(x82841),x82843)))+~P1(f313(f313(f223(x82841),x82842),f313(f313(f277(x82841),x82844),f313(f95(x82841),x82843))))
% 119.46/119.26 [8473]~P72(x84731)+~P99(x84731)+~P1(f313(f313(f222(x84731),x84733),f2(x84731)))+P1(f313(f313(f223(x84731),f2(x84731)),f313(f95(x84731),x84732)))+~P1(f313(f313(f222(x84731),x84734),f313(f313(f74(x84731),x84733),f313(f95(x84731),x84732))))+P1(f313(f313(f222(x84731),x84733),f313(f313(f277(x84731),x84734),f313(f95(x84731),x84732))))
% 119.46/119.26 [8474]~P72(x84741)+~P99(x84741)+~P1(f313(f313(f223(x84741),x84743),f2(x84741)))+P1(f313(f313(f223(x84741),f2(x84741)),f313(f95(x84741),x84742)))+~P1(f313(f313(f223(x84741),x84744),f313(f313(f74(x84741),x84743),f313(f95(x84741),x84742))))+P1(f313(f313(f223(x84741),x84743),f313(f313(f277(x84741),x84744),f313(f95(x84741),x84742))))
% 119.46/119.26 [8641]~P72(x86411)+~P99(x86411)+~P1(f313(f313(f223(x86411),f313(f95(x86411),x86412)),f2(x86411)))+P1(f313(f313(f223(x86411),f2(x86411)),f313(f95(x86411),x86412)))+~P1(f313(f313(f222(x86411),x86414),f313(f313(f74(x86411),x86413),f313(f95(x86411),x86412))))+P1(f313(f313(f222(x86411),x86413),f313(f313(f277(x86411),x86414),f313(f95(x86411),x86412))))
% 119.46/119.26 [8642]~P72(x86421)+~P99(x86421)+~P1(f313(f313(f223(x86421),f313(f95(x86421),x86422)),f2(x86421)))+P1(f313(f313(f223(x86421),f2(x86421)),f313(f95(x86421),x86422)))+~P1(f313(f313(f222(x86421),x86424),f313(f313(f277(x86421),x86423),f313(f95(x86421),x86422))))+P1(f313(f313(f222(x86421),x86423),f313(f313(f74(x86421),x86424),f313(f95(x86421),x86422))))
% 119.46/119.26 [8643]~P72(x86431)+~P99(x86431)+~P1(f313(f313(f223(x86431),f313(f95(x86431),x86432)),f2(x86431)))+P1(f313(f313(f223(x86431),f2(x86431)),f313(f95(x86431),x86432)))+~P1(f313(f313(f223(x86431),x86434),f313(f313(f74(x86431),x86433),f313(f95(x86431),x86432))))+P1(f313(f313(f223(x86431),x86433),f313(f313(f277(x86431),x86434),f313(f95(x86431),x86432))))
% 119.46/119.26 [8644]~P72(x86441)+~P99(x86441)+~P1(f313(f313(f223(x86441),f313(f95(x86441),x86442)),f2(x86441)))+P1(f313(f313(f223(x86441),f2(x86441)),f313(f95(x86441),x86442)))+~P1(f313(f313(f223(x86441),x86444),f313(f313(f277(x86441),x86443),f313(f95(x86441),x86442))))+P1(f313(f313(f223(x86441),x86443),f313(f313(f74(x86441),x86444),f313(f95(x86441),x86442))))
% 119.46/119.26 [7445]E(x74451,f2(a1))+E(f313(f313(f29(a1),x74452),x74451),x74453)+~P1(f313(f313(f222(a1),x74454),f2(a1)))+~E(x74452,f313(f313(f73(a1),f313(f313(f74(a1),x74451),x74453)),x74454))+P1(f313(f313(f223(a1),f2(a1)),x74451))+~P1(f313(f313(f223(a1),x74451),x74454))
% 119.46/119.26 [7462]E(f38(a1,x74622,x74621),x74623)+E(x74621,f2(a1))+~P1(f313(f313(f222(a1),x74623),f2(a1)))+~E(x74622,f313(f313(f73(a1),f313(f313(f74(a1),x74621),x74624)),x74623))+P1(f313(f313(f223(a1),f2(a1)),x74621))+~P1(f313(f313(f223(a1),x74621),x74623))
% 119.46/119.26 [7580]E(x75801,f2(a1))+E(f313(f313(f29(a1),x75802),x75801),x75803)+~E(x75802,f313(f313(f73(a1),f313(f313(f74(a1),x75801),x75803)),x75804))+~P1(f313(f313(f222(a1),f2(a1)),x75804))+~P1(f313(f313(f223(a1),f2(a1)),x75801))+~P1(f313(f313(f223(a1),x75804),x75801))
% 119.46/119.26 [7603]E(f38(a1,x76032,x76031),x76033)+E(x76031,f2(a1))+~E(x76032,f313(f313(f73(a1),f313(f313(f74(a1),x76031),x76034)),x76033))+~P1(f313(f313(f222(a1),f2(a1)),x76033))+~P1(f313(f313(f223(a1),f2(a1)),x76031))+~P1(f313(f313(f223(a1),x76033),x76031))
% 119.46/119.26 [7747]~P4(x77472)+E(x77471,f178(f890(x77472,a881)))+~P1(f313(f54(x77472),x77471))+~P1(f313(f313(f222(x77472),x77474),x77473))+~P1(f313(f313(f315(x77472),x77474),x77471))+P1(f313(f313(f222(x77472),f313(f56(x77472,f227(x77472)),x77471)),x77473))
% 119.46/119.26 [7748]~P4(x77482)+E(x77481,f178(f890(x77482,a881)))+~P1(f313(f54(x77482),x77481))+~P1(f313(f313(f223(x77482),x77484),x77483))+~P1(f313(f313(f315(x77482),x77484),x77481))+P1(f313(f313(f223(x77482),f313(f56(x77482,f227(x77482)),x77481)),x77483))
% 119.46/119.26 [8313]~P1(f313(f313(f222(a1),x83134),f2(a1)))+~E(x83131,f313(f313(f73(a1),f313(f313(f74(a1),x83132),x83133)),x83134))+~P1(f313(f313(f222(a1),f2(a1)),x83134))+~P1(f313(f313(f223(a1),x83134),x83132))+~P1(f313(f313(f223(a1),x83132),x83134))+P1(f313(f42(x83131,x83132),f313(f313(f240(a1,a1),x83133),x83134)))
% 119.46/119.26 [8435]~P72(x84351)+~P99(x84351)+P1(f313(f313(f223(x84351),f313(f95(x84351),x84352)),f2(x84351)))+~P1(f313(f313(f222(x84351),f2(x84351)),x84354))+P1(f313(f313(f223(x84351),f2(x84351)),f313(f95(x84351),x84352)))+P1(f313(f313(f222(x84351),f313(f313(f277(x84351),x84353),f313(f95(x84351),x84352))),x84354))
% 119.46/119.26 [8436]~P72(x84361)+~P99(x84361)+P1(f313(f313(f223(x84361),f313(f95(x84361),x84362)),f2(x84361)))+~P1(f313(f313(f223(x84361),f2(x84361)),x84364))+P1(f313(f313(f223(x84361),f2(x84361)),f313(f95(x84361),x84362)))+P1(f313(f313(f223(x84361),f313(f313(f277(x84361),x84363),f313(f95(x84361),x84362))),x84364))
% 119.46/119.26 [8549]~P72(x85491)+~P99(x85491)+~P1(f313(f313(f223(x85491),x85492),f2(x85491)))+P1(f313(f313(f223(x85491),f2(x85491)),x85492))+~P1(f313(f313(f222(x85491),f313(f95(x85491),x85494)),f313(f313(f277(x85491),x85493),x85492)))+P1(f313(f313(f222(x85491),x85493),f313(f313(f74(x85491),f313(f95(x85491),x85494)),x85492)))
% 119.46/119.26 [8550]~P72(x85501)+~P99(x85501)+~P1(f313(f313(f223(x85501),x85502),f2(x85501)))+P1(f313(f313(f223(x85501),f2(x85501)),x85502))+~P1(f313(f313(f223(x85501),f313(f95(x85501),x85504)),f313(f313(f277(x85501),x85503),x85502)))+P1(f313(f313(f223(x85501),x85503),f313(f313(f74(x85501),f313(f95(x85501),x85504)),x85502)))
% 119.46/119.26 [8588]~P72(x85881)+~P99(x85881)+~P1(f313(f313(f223(x85881),x85882),f2(x85881)))+P1(f313(f313(f223(x85881),f2(x85881)),x85882))+P1(f313(f313(f222(x85881),f313(f95(x85881),x85883)),f313(f313(f277(x85881),x85884),x85882)))+~P1(f313(f313(f222(x85881),x85884),f313(f313(f74(x85881),f313(f95(x85881),x85883)),x85882)))
% 119.46/119.26 [8589]~P72(x85891)+~P99(x85891)+~P1(f313(f313(f223(x85891),x85892),f2(x85891)))+P1(f313(f313(f223(x85891),f2(x85891)),x85892))+P1(f313(f313(f223(x85891),f313(f95(x85891),x85893)),f313(f313(f277(x85891),x85894),x85892)))+~P1(f313(f313(f223(x85891),x85894),f313(f313(f74(x85891),f313(f95(x85891),x85893)),x85892)))
% 119.46/119.26 [8678]~P72(x86781)+~P99(x86781)+P1(f313(f313(f223(x86781),f313(f95(x86781),x86783)),f2(x86781)))+P1(f313(f313(f222(x86781),f2(x86781)),x86782))+P1(f313(f313(f223(x86781),f2(x86781)),f313(f95(x86781),x86783)))+~P1(f313(f313(f222(x86781),f313(f313(f277(x86781),x86784),f313(f95(x86781),x86783))),x86782))
% 119.46/119.26 [8679]~P72(x86791)+~P99(x86791)+P1(f313(f313(f223(x86791),f313(f95(x86791),x86793)),f2(x86791)))+P1(f313(f313(f223(x86791),f2(x86791)),x86792))+P1(f313(f313(f223(x86791),f2(x86791)),f313(f95(x86791),x86793)))+~P1(f313(f313(f223(x86791),f313(f313(f277(x86791),x86794),f313(f95(x86791),x86793))),x86792))
% 119.46/119.26 [8722]~P72(x87221)+~P99(x87221)+~P1(f313(f313(f222(x87221),f313(f95(x87221),x87223)),f2(x87221)))+P1(f313(f313(f223(x87221),f2(x87221)),x87222))+P1(f313(f313(f222(x87221),f313(f95(x87221),x87223)),f313(f313(f277(x87221),x87224),x87222)))+~P1(f313(f313(f222(x87221),x87224),f313(f313(f74(x87221),f313(f95(x87221),x87223)),x87222)))
% 119.46/119.26 [8723]~P72(x87231)+~P99(x87231)+~P1(f313(f313(f223(x87231),f313(f95(x87231),x87233)),f2(x87231)))+P1(f313(f313(f223(x87231),f2(x87231)),x87232))+P1(f313(f313(f223(x87231),f313(f95(x87231),x87233)),f313(f313(f277(x87231),x87234),x87232)))+~P1(f313(f313(f223(x87231),x87234),f313(f313(f74(x87231),f313(f95(x87231),x87233)),x87232)))
% 119.46/119.26 [8730]~P72(x87301)+~P99(x87301)+P1(f313(f313(f223(x87301),x87302),f2(x87301)))+P1(f313(f313(f222(x87301),f313(f313(f277(x87301),x87303),x87302)),f313(f95(x87301),x87304)))+~P1(f313(f313(f222(x87301),f2(x87301)),f313(f95(x87301),x87304)))+~P1(f313(f313(f222(x87301),x87303),f313(f313(f74(x87301),f313(f95(x87301),x87304)),x87302)))
% 119.46/119.26 [8731]~P72(x87311)+~P99(x87311)+P1(f313(f313(f223(x87311),x87312),f2(x87311)))+P1(f313(f313(f223(x87311),f313(f313(f277(x87311),x87313),x87312)),f313(f95(x87311),x87314)))+~P1(f313(f313(f223(x87311),f2(x87311)),f313(f95(x87311),x87314)))+~P1(f313(f313(f223(x87311),x87313),f313(f313(f74(x87311),f313(f95(x87311),x87314)),x87312)))
% 119.46/119.26 [8749]~P72(x87491)+~P99(x87491)+P1(f313(f313(f223(x87491),f313(f95(x87491),x87492)),f2(x87491)))+~P1(f313(f313(f222(x87491),f2(x87491)),x87494))+~P1(f313(f313(f222(x87491),x87493),f313(f313(f74(x87491),x87494),f313(f95(x87491),x87492))))+P1(f313(f313(f222(x87491),f313(f313(f277(x87491),x87493),f313(f95(x87491),x87492))),x87494))
% 119.46/119.26 [8750]~P72(x87501)+~P99(x87501)+P1(f313(f313(f223(x87501),f313(f95(x87501),x87502)),f2(x87501)))+~P1(f313(f313(f223(x87501),f2(x87501)),x87504))+~P1(f313(f313(f223(x87501),x87503),f313(f313(f74(x87501),x87504),f313(f95(x87501),x87502))))+P1(f313(f313(f223(x87501),f313(f313(f277(x87501),x87503),f313(f95(x87501),x87502))),x87504))
% 119.46/119.26 [8835]~P72(x88351)+~P99(x88351)+P1(f313(f313(f223(x88351),f313(f95(x88351),x88352)),f2(x88351)))+~P1(f313(f313(f222(x88351),x88353),f2(x88351)))+P1(f313(f313(f222(x88351),x88353),f313(f313(f277(x88351),x88354),f313(f95(x88351),x88352))))+~P1(f313(f313(f222(x88351),f313(f313(f74(x88351),x88353),f313(f95(x88351),x88352))),x88354))
% 119.46/119.26 [8836]~P72(x88361)+~P99(x88361)+P1(f313(f313(f223(x88361),f313(f95(x88361),x88362)),f2(x88361)))+~P1(f313(f313(f223(x88361),x88363),f2(x88361)))+P1(f313(f313(f223(x88361),x88363),f313(f313(f277(x88361),x88364),f313(f95(x88361),x88362))))+~P1(f313(f313(f223(x88361),f313(f313(f74(x88361),x88363),f313(f95(x88361),x88362))),x88364))
% 119.46/119.26 [8952]~P72(x89521)+~P99(x89521)+~P1(f313(f313(f222(x89521),f2(x89521)),x89524))+P1(f313(f313(f223(x89521),f2(x89521)),f313(f95(x89521),x89522)))+~P1(f313(f313(f222(x89521),f313(f313(f74(x89521),x89524),f313(f95(x89521),x89522))),x89523))+P1(f313(f313(f222(x89521),f313(f313(f277(x89521),x89523),f313(f95(x89521),x89522))),x89524))
% 119.46/119.26 [8953]~P72(x89531)+~P99(x89531)+~P1(f313(f313(f223(x89531),f2(x89531)),x89534))+P1(f313(f313(f223(x89531),f2(x89531)),f313(f95(x89531),x89532)))+~P1(f313(f313(f223(x89531),f313(f313(f74(x89531),x89534),f313(f95(x89531),x89532))),x89533))+P1(f313(f313(f223(x89531),f313(f313(f277(x89531),x89533),f313(f95(x89531),x89532))),x89534))
% 119.46/119.26 [9006]~P72(x90061)+~P99(x90061)+~P1(f313(f313(f222(x90061),x90062),f2(x90061)))+P1(f313(f313(f222(x90061),x90062),f313(f313(f277(x90061),x90063),f313(f95(x90061),x90064))))+~P1(f313(f313(f222(x90061),x90063),f313(f313(f74(x90061),x90062),f313(f95(x90061),x90064))))+~P1(f313(f313(f222(x90061),f313(f313(f74(x90061),x90062),f313(f95(x90061),x90064))),x90063))
% 119.46/119.26 [9007]~P72(x90071)+~P99(x90071)+~P1(f313(f313(f223(x90071),x90072),f2(x90071)))+P1(f313(f313(f223(x90071),x90072),f313(f313(f277(x90071),x90073),f313(f95(x90071),x90074))))+~P1(f313(f313(f223(x90071),x90073),f313(f313(f74(x90071),x90072),f313(f95(x90071),x90074))))+~P1(f313(f313(f223(x90071),f313(f313(f74(x90071),x90072),f313(f95(x90071),x90074))),x90073))
% 119.46/119.26 [9035]~P72(x90351)+~P99(x90351)+~P1(f313(f313(f223(x90351),f313(f95(x90351),x90352)),f2(x90351)))+P1(f313(f313(f223(x90351),f2(x90351)),f313(f95(x90351),x90352)))+~P1(f313(f313(f222(x90351),f313(f313(f277(x90351),x90354),f313(f95(x90351),x90352))),x90353))+P1(f313(f313(f222(x90351),f313(f313(f74(x90351),x90353),f313(f95(x90351),x90352))),x90354))
% 119.46/119.26 [9036]~P72(x90361)+~P99(x90361)+~P1(f313(f313(f223(x90361),f313(f95(x90361),x90362)),f2(x90361)))+P1(f313(f313(f223(x90361),f2(x90361)),f313(f95(x90361),x90362)))+~P1(f313(f313(f222(x90361),f313(f313(f74(x90361),x90364),f313(f95(x90361),x90362))),x90363))+P1(f313(f313(f222(x90361),f313(f313(f277(x90361),x90363),f313(f95(x90361),x90362))),x90364))
% 119.46/119.26 [9037]~P72(x90371)+~P99(x90371)+~P1(f313(f313(f223(x90371),f313(f95(x90371),x90372)),f2(x90371)))+P1(f313(f313(f223(x90371),f2(x90371)),f313(f95(x90371),x90372)))+~P1(f313(f313(f223(x90371),f313(f313(f277(x90371),x90374),f313(f95(x90371),x90372))),x90373))+P1(f313(f313(f223(x90371),f313(f313(f74(x90371),x90373),f313(f95(x90371),x90372))),x90374))
% 119.46/119.26 [9038]~P72(x90381)+~P99(x90381)+~P1(f313(f313(f223(x90381),f313(f95(x90381),x90382)),f2(x90381)))+P1(f313(f313(f223(x90381),f2(x90381)),f313(f95(x90381),x90382)))+~P1(f313(f313(f223(x90381),f313(f313(f74(x90381),x90384),f313(f95(x90381),x90382))),x90383))+P1(f313(f313(f223(x90381),f313(f313(f277(x90381),x90383),f313(f95(x90381),x90382))),x90384))
% 119.46/119.26 [9115]~P72(x91151)+~P99(x91151)+~P1(f313(f313(f223(x91151),f313(f95(x91151),x91154)),f2(x91151)))+P1(f313(f313(f222(x91151),x91152),f313(f313(f277(x91151),x91153),f313(f95(x91151),x91154))))+~P1(f313(f313(f222(x91151),x91153),f313(f313(f74(x91151),x91152),f313(f95(x91151),x91154))))+~P1(f313(f313(f222(x91151),f313(f313(f74(x91151),x91152),f313(f95(x91151),x91154))),x91153))
% 119.46/119.26 [9116]~P72(x91161)+~P99(x91161)+~P1(f313(f313(f223(x91161),f313(f95(x91161),x91164)),f2(x91161)))+P1(f313(f313(f223(x91161),x91162),f313(f313(f277(x91161),x91163),f313(f95(x91161),x91164))))+~P1(f313(f313(f223(x91161),x91163),f313(f313(f74(x91161),x91162),f313(f95(x91161),x91164))))+~P1(f313(f313(f223(x91161),f313(f313(f74(x91161),x91162),f313(f95(x91161),x91164))),x91163))
% 119.46/119.26 [9160]~P72(x91601)+~P99(x91601)+~P1(f313(f313(f222(x91601),f2(x91601)),x91604))+~P1(f313(f313(f222(x91601),x91602),f313(f313(f74(x91601),x91604),f313(f95(x91601),x91603))))+~P1(f313(f313(f222(x91601),f313(f313(f74(x91601),x91604),f313(f95(x91601),x91603))),x91602))+P1(f313(f313(f222(x91601),f313(f313(f277(x91601),x91602),f313(f95(x91601),x91603))),x91604))
% 119.46/119.26 [9161]~P72(x91611)+~P99(x91611)+~P1(f313(f313(f223(x91611),f2(x91611)),x91614))+~P1(f313(f313(f223(x91611),x91612),f313(f313(f74(x91611),x91614),f313(f95(x91611),x91613))))+~P1(f313(f313(f223(x91611),f313(f313(f74(x91611),x91614),f313(f95(x91611),x91613))),x91612))+P1(f313(f313(f223(x91611),f313(f313(f277(x91611),x91612),f313(f95(x91611),x91613))),x91614))
% 119.46/119.26 [9196]~P72(x91961)+~P99(x91961)+~P1(f313(f313(f223(x91961),f313(f95(x91961),x91963)),f2(x91961)))+~P1(f313(f313(f222(x91961),x91962),f313(f313(f74(x91961),x91964),f313(f95(x91961),x91963))))+~P1(f313(f313(f222(x91961),f313(f313(f74(x91961),x91964),f313(f95(x91961),x91963))),x91962))+P1(f313(f313(f222(x91961),f313(f313(f277(x91961),x91962),f313(f95(x91961),x91963))),x91964))
% 119.46/119.26 [9197]~P72(x91971)+~P99(x91971)+~P1(f313(f313(f223(x91971),f313(f95(x91971),x91973)),f2(x91971)))+~P1(f313(f313(f223(x91971),x91972),f313(f313(f74(x91971),x91974),f313(f95(x91971),x91973))))+~P1(f313(f313(f223(x91971),f313(f313(f74(x91971),x91974),f313(f95(x91971),x91973))),x91972))+P1(f313(f313(f223(x91971),f313(f313(f277(x91971),x91972),f313(f95(x91971),x91973))),x91974))
% 119.46/119.26 [8895]~P72(x88951)+~P99(x88951)+~P1(f313(f313(f223(x88951),x88952),f2(x88951)))+~P1(f313(f313(f222(x88951),f313(f313(f277(x88951),x88954),x88952)),f313(f95(x88951),x88953)))+P1(f313(f313(f223(x88951),f2(x88951)),x88952))+P1(f313(f313(f222(x88951),f313(f313(f74(x88951),f313(f95(x88951),x88953)),x88952)),x88954))
% 119.46/119.26 [8896]~P72(x88961)+~P99(x88961)+~P1(f313(f313(f223(x88961),x88962),f2(x88961)))+~P1(f313(f313(f223(x88961),f313(f313(f277(x88961),x88964),x88962)),f313(f95(x88961),x88963)))+P1(f313(f313(f223(x88961),f2(x88961)),x88962))+P1(f313(f313(f223(x88961),f313(f313(f74(x88961),f313(f95(x88961),x88963)),x88962)),x88964))
% 119.46/119.26 [9010]~P72(x90101)+~P99(x90101)+~P1(f313(f313(f223(x90101),x90102),f2(x90101)))+P1(f313(f313(f223(x90101),f2(x90101)),x90102))+P1(f313(f313(f222(x90101),f313(f313(f277(x90101),x90103),x90102)),f313(f95(x90101),x90104)))+~P1(f313(f313(f222(x90101),f313(f313(f74(x90101),f313(f95(x90101),x90104)),x90102)),x90103))
% 119.46/119.26 [9011]~P72(x90111)+~P99(x90111)+~P1(f313(f313(f223(x90111),x90112),f2(x90111)))+P1(f313(f313(f223(x90111),f2(x90111)),x90112))+P1(f313(f313(f223(x90111),f313(f313(f277(x90111),x90113),x90112)),f313(f95(x90111),x90114)))+~P1(f313(f313(f223(x90111),f313(f313(f74(x90111),f313(f95(x90111),x90114)),x90112)),x90113))
% 119.46/119.26 [9050]~P72(x90501)+~P99(x90501)+P1(f313(f313(f223(x90501),x90502),f2(x90501)))+~P1(f313(f313(f222(x90501),f313(f95(x90501),x90503)),f2(x90501)))+P1(f313(f313(f222(x90501),f313(f95(x90501),x90503)),f313(f313(f277(x90501),x90504),x90502)))+~P1(f313(f313(f222(x90501),f313(f313(f74(x90501),f313(f95(x90501),x90503)),x90502)),x90504))
% 119.46/119.26 [9051]~P72(x90511)+~P99(x90511)+P1(f313(f313(f223(x90511),x90512),f2(x90511)))+~P1(f313(f313(f223(x90511),f313(f95(x90511),x90513)),f2(x90511)))+P1(f313(f313(f223(x90511),f313(f95(x90511),x90513)),f313(f313(f277(x90511),x90514),x90512)))+~P1(f313(f313(f223(x90511),f313(f313(f74(x90511),f313(f95(x90511),x90513)),x90512)),x90514))
% 119.46/119.26 [9067]~P72(x90671)+~P99(x90671)+P1(f313(f313(f223(x90671),f2(x90671)),x90672))+P1(f313(f313(f222(x90671),f313(f313(f277(x90671),x90673),x90672)),f313(f95(x90671),x90674)))+~P1(f313(f313(f222(x90671),f2(x90671)),f313(f95(x90671),x90674)))+~P1(f313(f313(f222(x90671),f313(f313(f74(x90671),f313(f95(x90671),x90674)),x90672)),x90673))
% 119.46/119.26 [9068]~P72(x90681)+~P99(x90681)+P1(f313(f313(f223(x90681),f2(x90681)),x90682))+P1(f313(f313(f223(x90681),f313(f313(f277(x90681),x90683),x90682)),f313(f95(x90681),x90684)))+~P1(f313(f313(f223(x90681),f2(x90681)),f313(f95(x90681),x90684)))+~P1(f313(f313(f223(x90681),f313(f313(f74(x90681),f313(f95(x90681),x90684)),x90682)),x90683))
% 119.46/119.26 [9228]~P72(x92281)+~P99(x92281)+~P1(f313(f313(f223(x92281),x92284),f2(x92281)))+P1(f313(f313(f222(x92281),f313(f95(x92281),x92282)),f313(f313(f277(x92281),x92283),x92284)))+~P1(f313(f313(f222(x92281),x92283),f313(f313(f74(x92281),f313(f95(x92281),x92282)),x92284)))+~P1(f313(f313(f222(x92281),f313(f313(f74(x92281),f313(f95(x92281),x92282)),x92284)),x92283))
% 119.46/119.26 [9229]~P72(x92291)+~P99(x92291)+~P1(f313(f313(f223(x92291),x92294),f2(x92291)))+P1(f313(f313(f223(x92291),f313(f95(x92291),x92292)),f313(f313(f277(x92291),x92293),x92294)))+~P1(f313(f313(f223(x92291),x92293),f313(f313(f74(x92291),f313(f95(x92291),x92292)),x92294)))+~P1(f313(f313(f223(x92291),f313(f313(f74(x92291),f313(f95(x92291),x92292)),x92294)),x92293))
% 119.46/119.26 [9263]~P72(x92631)+~P99(x92631)+~P1(f313(f313(f223(x92631),x92633),f2(x92631)))+P1(f313(f313(f222(x92631),f313(f313(f277(x92631),x92632),x92633)),f313(f95(x92631),x92634)))+~P1(f313(f313(f222(x92631),x92632),f313(f313(f74(x92631),f313(f95(x92631),x92634)),x92633)))+~P1(f313(f313(f222(x92631),f313(f313(f74(x92631),f313(f95(x92631),x92634)),x92633)),x92632))
% 119.46/119.26 [9264]~P72(x92641)+~P99(x92641)+~P1(f313(f313(f223(x92641),x92643),f2(x92641)))+P1(f313(f313(f223(x92641),f313(f313(f277(x92641),x92642),x92643)),f313(f95(x92641),x92644)))+~P1(f313(f313(f223(x92641),x92642),f313(f313(f74(x92641),f313(f95(x92641),x92644)),x92643)))+~P1(f313(f313(f223(x92641),f313(f313(f74(x92641),f313(f95(x92641),x92644)),x92643)),x92642))
% 119.46/119.26 [9281]~P72(x92811)+~P99(x92811)+~P1(f313(f313(f222(x92811),f313(f95(x92811),x92812)),f2(x92811)))+P1(f313(f313(f222(x92811),f313(f95(x92811),x92812)),f313(f313(f277(x92811),x92813),x92814)))+~P1(f313(f313(f222(x92811),x92813),f313(f313(f74(x92811),f313(f95(x92811),x92812)),x92814)))+~P1(f313(f313(f222(x92811),f313(f313(f74(x92811),f313(f95(x92811),x92812)),x92814)),x92813))
% 119.46/119.26 [9282]~P72(x92821)+~P99(x92821)+~P1(f313(f313(f223(x92821),f313(f95(x92821),x92822)),f2(x92821)))+P1(f313(f313(f223(x92821),f313(f95(x92821),x92822)),f313(f313(f277(x92821),x92823),x92824)))+~P1(f313(f313(f223(x92821),x92823),f313(f313(f74(x92821),f313(f95(x92821),x92822)),x92824)))+~P1(f313(f313(f223(x92821),f313(f313(f74(x92821),f313(f95(x92821),x92822)),x92824)),x92823))
% 119.46/119.26 [9286]~P72(x92861)+~P99(x92861)+P1(f313(f313(f222(x92861),f313(f313(f277(x92861),x92862),x92863)),f313(f95(x92861),x92864)))+~P1(f313(f313(f222(x92861),f2(x92861)),f313(f95(x92861),x92864)))+~P1(f313(f313(f222(x92861),x92862),f313(f313(f74(x92861),f313(f95(x92861),x92864)),x92863)))+~P1(f313(f313(f222(x92861),f313(f313(f74(x92861),f313(f95(x92861),x92864)),x92863)),x92862))
% 119.46/119.26 [9287]~P72(x92871)+~P99(x92871)+P1(f313(f313(f223(x92871),f313(f313(f277(x92871),x92872),x92873)),f313(f95(x92871),x92874)))+~P1(f313(f313(f223(x92871),f2(x92871)),f313(f95(x92871),x92874)))+~P1(f313(f313(f223(x92871),x92872),f313(f313(f74(x92871),f313(f95(x92871),x92874)),x92873)))+~P1(f313(f313(f223(x92871),f313(f313(f74(x92871),f313(f95(x92871),x92874)),x92873)),x92872))
% 119.46/119.26 [6063]~P137(x60632)+~P120(x60632)+~E(f313(x60633,x60635),f2(x60632))+E(f313(f313(f11(x60631,x60632),x60633),x60634),f2(x60632))+~P1(f313(f54(x60631),x60634))+~P1(f313(f313(f315(x60631),x60635),x60634))
% 119.46/119.26 [8478]~P3(x84781)+P1(f313(f313(f223(f890(x84781,a881)),f289(x84781,x84782,x84783)),f289(x84781,x84784,x84785)))+~P1(f313(f313(f222(x84781),x84784),x84782))+~P1(f313(f313(f222(x84781),x84784),x84785))+~P1(f313(f313(f222(x84781),x84783),x84785))+~P1(f313(f313(f223(x84781),x84783),x84785))
% 119.46/119.26 [8479]~P3(x84791)+P1(f313(f313(f223(f890(x84791,a881)),f289(x84791,x84792,x84793)),f289(x84791,x84794,x84795)))+~P1(f313(f313(f222(x84791),x84793),x84795))+~P1(f313(f313(f222(x84791),x84794),x84795))+~P1(f313(f313(f222(x84791),x84794),x84792))+~P1(f313(f313(f223(x84791),x84794),x84792))
% 119.46/119.26 [9314]P61(x93142,x93143,x93144,x93141)+E(x93141,f178(f890(x93142,a881)))+~P1(f313(f54(x93142),x93144))+~P1(f313(f54(x93142),x93141))+~P1(f313(f313(x93143,f498(x93141,x93144,x93143,x93142)),x93145))+~P1(f313(f313(f315(x93142),x93145),x93141))
% 119.46/119.26 [9315]P61(x93152,x93153,x93154,x93151)+E(x93151,f178(f890(x93152,a881)))+~P1(f313(f54(x93152),x93154))+~P1(f313(f54(x93152),x93151))+~P1(f313(f313(x93153,f809(x93153,x93151,x93154,x93152)),x93155))+~P1(f313(f313(f315(x93152),x93155),x93151))
% 119.46/119.26 [9316]P61(x93162,x93163,x93164,x93161)+E(x93161,f178(f890(x93162,a881)))+~P1(f313(f54(x93162),x93164))+~P1(f313(f54(x93162),x93161))+~P1(f313(f313(x93163,f810(x93161,x93164,x93163,x93162)),x93165))+~P1(f313(f313(f315(x93162),x93165),x93161))
% 119.46/119.26 [9461]~E(x94613,x94615)+~P75(x94611)+~P79(x94611)+~P40(x94613)+E(f313(f313(f8(a1,x94611),x94612),x94613),f313(f313(f8(a1,x94611),x94614),x94615))+P1(f313(f313(f222(a1),f2(a1)),f345(x94612,x94614,x94613,x94615,x94611)))
% 119.46/119.26 [9462]~E(x94623,x94625)+~P75(x94621)+~P79(x94621)+~P40(x94623)+E(f313(f313(f11(a1,x94621),x94622),x94623),f313(f313(f11(a1,x94621),x94624),x94625))+P1(f313(f313(f222(a1),f2(a1)),f487(x94622,x94624,x94623,x94625,x94621)))
% 119.46/119.26 [9636]~E(x96365,x96363)+~P75(x96361)+~P79(x96361)+~P40(x96365)+~E(f313(x96362,f345(x96364,x96362,x96365,x96363,x96361)),f313(x96364,f345(x96364,x96362,x96365,x96363,x96361)))+E(f313(f313(f8(a1,x96361),x96362),x96363),f313(f313(f8(a1,x96361),x96364),x96365))
% 119.46/119.26 [9637]~E(x96375,x96373)+~P75(x96371)+~P79(x96371)+~P40(x96375)+~E(f313(x96372,f487(x96374,x96372,x96375,x96373,x96371)),f313(x96374,f487(x96374,x96372,x96375,x96373,x96371)))+E(f313(f313(f11(a1,x96371),x96372),x96373),f313(f313(f11(a1,x96371),x96374),x96375))
% 119.46/119.26 [9728]~P87(x97283)+E(f313(x97281,x97282),f2(x97283))+~E(f313(f313(f8(x97284,x97283),x97281),x97285),f2(x97283))+~P1(f313(f54(x97284),x97285))+P1(f313(f313(f315(x97284),f426(x97282,x97281,x97285,x97284,x97283)),x97285))+~P1(f313(f313(f315(x97284),x97282),x97285))
% 119.46/119.26 [9866]~P87(x98663)+E(f313(x98661,x98662),f2(x98663))+~E(f313(f313(f8(x98664,x98663),x98661),x98665),f2(x98663))+~P1(f313(f54(x98664),x98665))+~P1(f313(f313(f315(x98664),x98662),x98665))+~P1(f313(f313(f222(x98663),f2(x98663)),f313(x98661,f426(x98662,x98661,x98665,x98664,x98663))))
% 119.46/119.26 [8396]~P142(x83961)+~P1(f313(f313(f222(x83961),x83963),x83965))+~P1(f313(f313(f222(x83961),x83962),x83964))+~P1(f313(f313(f222(x83961),f2(x83961)),x83963))+~P1(f313(f313(f222(x83961),f2(x83961)),x83964))+P1(f313(f313(f222(x83961),f313(f313(f74(x83961),x83962),x83963)),f313(f313(f74(x83961),x83964),x83965)))
% 119.46/119.26 [8397]~P142(x83971)+~P1(f313(f313(f222(x83971),x83973),x83975))+~P1(f313(f313(f222(x83971),x83972),x83974))+~P1(f313(f313(f222(x83971),f2(x83971)),x83973))+~P1(f313(f313(f222(x83971),f2(x83971)),x83972))+P1(f313(f313(f222(x83971),f313(f313(f74(x83971),x83972),x83973)),f313(f313(f74(x83971),x83974),x83975)))
% 119.46/119.26 [8398]~P73(x83981)+~P1(f313(f313(f223(x83981),f2(x83981)),x83985))+~P1(f313(f313(f222(x83981),x83985),x83983))+~P1(f313(f313(f222(x83981),x83982),x83984))+~P1(f313(f313(f222(x83981),f2(x83981)),x83982))+P1(f313(f313(f222(x83981),f313(f313(f277(x83981),x83982),x83983)),f313(f313(f277(x83981),x83984),x83985)))
% 119.46/119.26 [8399]~P132(x83991)+~P1(f313(f313(f222(x83991),x83993),x83995))+~P1(f313(f313(f222(x83991),f2(x83991)),x83992))+~P1(f313(f313(f223(x83991),x83992),x83994))+~P1(f313(f313(f223(x83991),f2(x83991)),x83993))+P1(f313(f313(f223(x83991),f313(f313(f74(x83991),x83992),x83993)),f313(f313(f74(x83991),x83994),x83995)))
% 119.46/119.26 [8400]~P132(x84001)+~P1(f313(f313(f222(x84001),x84002),x84004))+~P1(f313(f313(f222(x84001),f2(x84001)),x84003))+~P1(f313(f313(f223(x84001),x84003),x84005))+~P1(f313(f313(f223(x84001),f2(x84001)),x84002))+P1(f313(f313(f223(x84001),f313(f313(f74(x84001),x84002),x84003)),f313(f313(f74(x84001),x84004),x84005)))
% 119.46/119.26 [8401]~P132(x84011)+~P1(f313(f313(f222(x84011),f2(x84011)),x84013))+~P1(f313(f313(f222(x84011),f2(x84011)),x84012))+~P1(f313(f313(f223(x84011),x84013),x84015))+~P1(f313(f313(f223(x84011),x84012),x84014))+P1(f313(f313(f223(x84011),f313(f313(f74(x84011),x84012),x84013)),f313(f313(f74(x84011),x84014),x84015)))
% 119.46/119.26 [8402]~P132(x84021)+~P1(f313(f313(f222(x84021),f2(x84021)),x84023))+~P1(f313(f313(f223(x84021),x84023),x84025))+~P1(f313(f313(f223(x84021),x84022),x84024))+~P1(f313(f313(f223(x84021),f2(x84021)),x84024))+P1(f313(f313(f223(x84021),f313(f313(f74(x84021),x84022),x84023)),f313(f313(f74(x84021),x84024),x84025)))
% 119.46/119.26 [8403]~P73(x84031)+~P1(f313(f313(f222(x84031),x84035),x84033))+~P1(f313(f313(f222(x84031),f2(x84031)),x84032))+~P1(f313(f313(f223(x84031),x84032),x84034))+~P1(f313(f313(f223(x84031),f2(x84031)),x84035))+P1(f313(f313(f223(x84031),f313(f313(f277(x84031),x84032),x84033)),f313(f313(f277(x84031),x84034),x84035)))
% 119.46/119.26 [8404]~P73(x84041)+~P1(f313(f313(f222(x84041),x84042),x84044))+~P1(f313(f313(f223(x84041),x84045),x84043))+~P1(f313(f313(f223(x84041),f2(x84041)),x84045))+~P1(f313(f313(f223(x84041),f2(x84041)),x84042))+P1(f313(f313(f223(x84041),f313(f313(f277(x84041),x84042),x84043)),f313(f313(f277(x84041),x84044),x84045)))
% 119.46/119.26 [9769]~P79(x97695)+~P91(x97695)+E(x97691,f178(f890(x97692,a881)))+~P1(f313(f54(x97692),x97691))+P1(f313(f313(f315(x97692),f448(x97693,x97694,x97691,x97692,x97695)),x97691))+P1(f313(f313(f223(x97695),f313(f313(f8(x97692,x97695),x97694),x97691)),f313(f313(f8(x97692,x97695),x97693),x97691)))
% 119.46/119.26 [9889]~P89(x98891)+~P79(x98891)+~P1(f313(f54(x98892),x98895))+~P1(f313(f313(f222(x98891),f2(x98891)),f313(x98893,f372(x98893,x98894,x98895,x98892,x98891))))+P1(f313(f313(f222(x98891),f313(f313(f8(x98892,x98891),x98893),x98894)),f313(f313(f8(x98892,x98891),x98893),x98895)))+~P1(f313(f313(f222(f890(x98892,a881)),x98894),x98895))
% 119.46/119.26 [10058]~P79(x100583)+~P91(x100583)+E(x100581,f178(f890(x100582,a881)))+~P1(f313(f54(x100582),x100581))+~P1(f313(f313(f223(x100583),f313(x100584,f448(x100585,x100584,x100581,x100582,x100583))),f313(x100585,f448(x100585,x100584,x100581,x100582,x100583))))+P1(f313(f313(f223(x100583),f313(f313(f8(x100582,x100583),x100584),x100581)),f313(f313(f8(x100582,x100583),x100585),x100581)))
% 119.46/119.26 [7114]~P17(x71142,x71145,x71144)+E(x71141,f178(f890(x71142,a881)))+E(x71143,f178(f890(x71142,a881)))+~P1(f313(f54(x71142),x71141))+~P1(f313(f54(x71142),x71143))+E(f313(x71144,f313(f313(f92(f890(x71142,a881)),x71143),x71141)),f313(f313(x71145,f313(x71144,x71143)),f313(x71144,x71141)))
% 119.46/119.26 [7713]~P151(x77131,x77134,x77133)+P1(f313(x77131,x77132))+~P1(f313(f313(f223(a1),x77134),f2(a1)))+~P1(f313(f313(f222(a1),x77135),f2(a1)))+~E(x77133,f313(f313(f73(a1),f313(f313(f74(a1),x77134),x77132)),x77135))+~P1(f313(f313(f223(a1),x77134),x77135))
% 119.46/119.26 [7714]~P150(x77141,x77144,x77143)+P1(f313(x77141,x77142))+~P1(f313(f313(f223(a1),x77144),f2(a1)))+~P1(f313(f313(f222(a1),x77142),f2(a1)))+~E(x77143,f313(f313(f73(a1),f313(f313(f74(a1),x77144),x77145)),x77142))+~P1(f313(f313(f223(a1),x77144),x77142))
% 119.46/119.26 [7757]~P151(x77571,x77574,x77573)+P1(f313(x77571,x77572))+~E(x77573,f313(f313(f73(a1),f313(f313(f74(a1),x77574),x77572)),x77575))+~P1(f313(f313(f222(a1),f2(a1)),x77575))+~P1(f313(f313(f223(a1),f2(a1)),x77574))+~P1(f313(f313(f223(a1),x77575),x77574))
% 119.46/119.26 [7758]~P150(x77581,x77584,x77583)+P1(f313(x77581,x77582))+~E(x77583,f313(f313(f73(a1),f313(f313(f74(a1),x77584),x77585)),x77582))+~P1(f313(f313(f222(a1),f2(a1)),x77582))+~P1(f313(f313(f223(a1),f2(a1)),x77584))+~P1(f313(f313(f223(a1),x77582),x77584))
% 119.46/119.26 [8686]P1(f313(f313(x86861,x86862),x86863))+~P1(f313(f313(x86861,f313(f313(f29(a1),x86864),x86865)),f38(a1,x86864,x86865)))+~P1(f313(f313(f223(a1),x86865),f2(a1)))+~P1(f313(f313(f222(a1),x86863),f2(a1)))+~E(x86864,f313(f313(f73(a1),f313(f313(f74(a1),x86865),x86862)),x86863))+~P1(f313(f313(f223(a1),x86865),x86863))
% 119.46/119.26 [8693]P1(f313(f313(x86931,x86932),x86933))+~P1(f313(f313(x86931,f313(f313(f29(a1),x86934),x86935)),f38(a1,x86934,x86935)))+~E(x86934,f313(f313(f73(a1),f313(f313(f74(a1),x86935),x86932)),x86933))+~P1(f313(f313(f222(a1),f2(a1)),x86933))+~P1(f313(f313(f223(a1),f2(a1)),x86935))+~P1(f313(f313(f223(a1),x86933),x86935))
% 119.46/119.26 [8936]E(x89361,x89362)+~P58(x89363,x89365,x89364)+~P1(f313(f313(f315(x89363),x89362),x89365))+~P1(f313(f313(f315(x89363),x89361),x89365))+P1(f313(f313(f315(f889(x89363,x89363)),f313(f313(f240(x89363,x89363),x89361),x89362)),x89364))+P1(f313(f313(f315(f889(x89363,x89363)),f313(f313(f240(x89363,x89363),x89362),x89361)),x89364))
% 119.46/119.26 [9747]~P3(x97471)+~P3(x97472)+~P39(x97472,x97471,x97473)+~P1(f313(f313(f222(x97472),x97475),f401(x97474,x97473,x97472,x97471,x97475)))+E(f226(x97471,f313(f313(f9(x97471,f890(x97471,a881),a881),f315(x97471)),f313(f296(x97472,x97471,x97473),x97474))),f313(x97473,f226(x97472,f313(f313(f9(x97472,f890(x97472,a881),a881),f315(x97472)),x97474))))+~P1(f313(f313(f315(x97472),x97475),x97474))
% 119.46/119.26 [9804]~P89(x98045)+~P79(x98045)+~P1(f313(f54(x98041),x98044))+P1(f313(f313(f222(x98045),f313(f313(f8(x98041,x98045),x98042),x98043)),f313(f313(f8(x98041,x98045),x98042),x98044)))+~P1(f313(f313(f222(f890(x98041,a881)),x98043),x98044))+P1(f313(f313(f315(x98041),f372(x98042,x98043,x98044,x98041,x98045)),f313(f313(f3(f890(x98041,a881)),x98044),x98043)))
% 119.46/119.26 [9820]~P3(x98201)+~P3(x98202)+~P39(x98202,x98201,x98203)+E(f226(x98201,f313(f313(f9(x98201,f890(x98201,a881),a881),f315(x98201)),f313(f296(x98202,x98201,x98203),x98204))),f313(x98203,f226(x98202,f313(f313(f9(x98202,f890(x98202,a881),a881),f315(x98202)),x98204))))+~P1(f313(f313(f315(x98202),x98205),x98204))+P1(f313(f313(f315(x98202),f401(x98204,x98203,x98202,x98201,x98205)),x98204))
% 119.46/119.26 [9897]E(x98971,f178(f890(x98972,a881)))+~P1(f313(f54(x98972),x98973))+~P1(f313(f54(x98972),x98971))+P1(f313(f313(f315(f889(f890(x98972,a881),f890(x98972,a881))),f313(f313(f240(f890(x98972,a881),f890(x98972,a881)),x98973),x98971)),f304(x98972,x98974)))+~P1(f313(f313(f315(x98972),x98975),x98971))+~P1(f313(f313(f315(f889(x98972,x98972)),f313(f313(f240(x98972,x98972),f501(x98974,x98971,x98973,x98972)),x98975)),x98974))
% 119.46/119.26 [9898]E(x98981,f178(f890(x98982,a881)))+~P1(f313(f54(x98982),x98983))+~P1(f313(f54(x98982),x98981))+P1(f313(f313(f315(f889(f890(x98982,a881),f890(x98982,a881))),f313(f313(f240(f890(x98982,a881),f890(x98982,a881)),x98983),x98981)),f304(x98982,x98984)))+~P1(f313(f313(f315(x98982),x98985),x98981))+~P1(f313(f313(f315(f889(x98982,x98982)),f313(f313(f240(x98982,x98982),f593(x98984,x98981,x98983,x98982)),x98985)),x98984))
% 119.46/119.26 [10062]~P87(x100621)+~E(f313(f313(f8(x100625,x100621),x100622),x100626),x100624)+~P1(f313(f54(x100625),x100626))+P1(f313(f313(f315(x100625),f427(x100623,x100624,x100622,x100626,x100625,x100621)),x100626))+P1(f313(f313(f222(x100621),f313(x100622,x100623)),x100624))+~P1(f313(f313(f315(x100625),x100623),x100626))
% 119.46/119.26 [10112]~P87(x101121)+~E(f313(f313(f8(x101125,x101121),x101122),x101126),x101124)+~P1(f313(f54(x101125),x101126))+~P1(f313(f313(f315(x101125),x101123),x101126))+~P1(f313(f313(f222(x101121),f2(x101121)),f313(x101122,f427(x101123,x101124,x101122,x101126,x101125,x101121))))+P1(f313(f313(f222(x101121),f313(x101122,x101123)),x101124))
% 119.46/119.26 [10243]~E(x102435,x102438)+~E(x102434,x102437)+~P112(x102431)+~P79(x102432)+E(f313(f313(f8(x102431,x102432),x102433),f313(f288(x102431,x102434),x102435)),f313(f313(f8(x102431,x102432),x102436),f313(f288(x102431,x102437),x102438)))+P1(f313(f313(f222(x102431),x102434),f337(x102433,x102436,x102435,x102438,x102434,x102437,x102431,x102432)))
% 119.46/119.26 [10259]~E(x102597,x102594)+~E(x102598,x102595)+~P112(x102591)+~P79(x102592)+~E(f313(x102593,f337(x102596,x102593,x102598,x102595,x102597,x102594,x102591,x102592)),f313(x102596,f337(x102596,x102593,x102598,x102595,x102597,x102594,x102591,x102592)))+E(f313(f313(f8(x102591,x102592),x102593),f313(f288(x102591,x102594),x102595)),f313(f313(f8(x102591,x102592),x102596),f313(f288(x102591,x102597),x102598)))
% 119.46/119.26 [10264]~E(x102644,x102647)+~E(x102645,x102648)+~P112(x102641)+~P79(x102642)+E(f313(f313(f8(x102641,x102642),x102643),f313(f288(x102641,x102644),x102645)),f313(f313(f8(x102641,x102642),x102646),f313(f288(x102641,x102647),x102648)))+P1(f313(f313(f223(x102641),f337(x102643,x102646,x102645,x102648,x102644,x102647,x102641,x102642)),x102645))
% 119.46/119.26 [9903]~P8(x99035,x99039,x99036)+~P8(x99031,x990310,x99033)+~P12(x99031,x99035,f890(x99032,a881),x99033,x99036,x99038)+~P1(f313(f313(f315(x99035),x99037),x99039))+~P1(f313(f313(f315(x99031),x99034),x990310))+E(f313(f313(f33(x99031,f890(x99032,a881)),f313(f271(x99031,x99031,x99033),f313(f313(f295(x99031),x99034),f178(f890(x99031,a881))))),f313(f313(f10(f890(x99035,f890(x99032,a881)),f890(x99032,a881),x99031),f313(f33(x99035,f890(x99032,a881)),f313(f271(x99035,x99035,x99036),f313(f313(f295(x99035),x99037),f178(f890(x99035,a881)))))),x99038)),f313(f313(x99038,x99034),x99037))
% 119.46/119.26 [5568]~P4(x55683)+~P13(x55683,x55682)+~P13(x55683,x55681)+E(x55681,x55682)+~E(f313(f160(x55683),x55681),f313(f160(x55683),x55682))+~P1(f313(f125(x55683),x55682))+~P1(f313(f125(x55683),x55681))
% 119.46/119.26 [4885]~P116(x48852)+~P131(x48852)+~P137(x48852)+~P148(x48852)+~E(x48853,f2(x48852))+E(x48851,f2(a883))+E(f313(f313(f232(x48852),x48853),x48851),f2(x48852))
% 119.46/119.26 [9191]E(x91911,f2(a883))+~E(x91912,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x91913)),x91911)),f313(f244(a883,a883),x91913)))+P1(f313(f41(x91912,x91911),x91913))+~P1(f313(f313(f222(a883),f313(f244(a883,a883),x91913)),f2(a883)))+~P1(f313(f313(f222(a883),f2(a883)),f313(f244(a883,a883),x91913)))+~P1(f313(f313(f223(a883),x91911),f313(f244(a883,a883),x91913)))+~P1(f313(f313(f223(a883),f313(f244(a883,a883),x91913)),x91911))
% 119.46/119.26 [9199]~E(f313(f239(a883,a883),x91993),f2(a883))+~E(x91991,f313(f313(f73(a883),f313(f313(f74(a883),f313(f239(a883,a883),x91993)),x91992)),f313(f244(a883,a883),x91993)))+P1(f313(f41(x91991,x91992),x91993))+~P1(f313(f313(f222(a883),f313(f244(a883,a883),x91993)),f2(a883)))+~P1(f313(f313(f222(a883),f2(a883)),f313(f244(a883,a883),x91993)))+~P1(f313(f313(f223(a883),x91992),f313(f244(a883,a883),x91993)))+~P1(f313(f313(f223(a883),f313(f244(a883,a883),x91993)),x91992))
% 119.46/119.26 [7593]~P103(x75932)+E(x75931,f178(f890(x75932,a881)))+E(x75933,f178(f890(x75932,a881)))+~P1(f313(f54(x75932),x75931))+~P1(f313(f54(x75932),x75933))+~E(f313(f313(f93(f890(x75932,a881)),x75933),x75931),f178(f890(x75932,a881)))+E(f15(x75932,f313(f313(f92(f890(x75932,a881)),x75933),x75931)),f313(f313(f92(x75932),f15(x75932,x75933)),f15(x75932,x75931)))
% 119.46/119.26 [7594]~P4(x75942)+E(x75941,f178(f890(x75942,a881)))+E(x75943,f178(f890(x75942,a881)))+~P1(f313(f54(x75942),x75941))+~P1(f313(f54(x75942),x75943))+~E(f313(f313(f93(f890(x75942,a881)),x75943),x75941),f178(f890(x75942,a881)))+E(f16(x75942,f313(f313(f92(f890(x75942,a881)),x75943),x75941)),f313(f313(f177(x75942),f16(x75942,x75943)),f16(x75942,x75941)))
% 119.46/119.26 [7595]~P4(x75952)+E(x75951,f178(f890(x75952,a881)))+E(x75953,f178(f890(x75952,a881)))+~P1(f313(f54(x75952),x75951))+~P1(f313(f54(x75952),x75953))+~E(f313(f313(f93(f890(x75952,a881)),x75953),x75951),f178(f890(x75952,a881)))+E(f17(x75952,f313(f313(f92(f890(x75952,a881)),x75953),x75951)),f313(f313(f227(x75952),f17(x75952,x75953)),f17(x75952,x75951)))
% 119.46/119.26 [7596]~P103(x75962)+E(x75961,f178(f890(x75962,a881)))+E(x75963,f178(f890(x75962,a881)))+~P1(f313(f54(x75962),x75961))+~P1(f313(f54(x75962),x75963))+~E(f313(f313(f93(f890(x75962,a881)),x75963),x75961),f178(f890(x75962,a881)))+E(f12(x75962,f313(f313(f92(f890(x75962,a881)),x75963),x75961)),f313(f313(f93(x75962),f12(x75962,x75963)),f12(x75962,x75961)))
% 119.46/119.26 [8069]~P64(x80692)+E(x80691,f178(f890(x80692,a881)))+E(x80693,f178(f890(x80692,a881)))+~P1(f313(f54(x80692),x80691))+~P1(f313(f54(x80692),x80693))+~E(f313(f313(f93(f890(x80692,a881)),x80693),x80691),f178(f890(x80692,a881)))+E(f313(f313(f74(x80692),f313(f56(x80692,f74(x80692)),x80693)),f313(f56(x80692,f74(x80692)),x80691)),f313(f56(x80692,f74(x80692)),f313(f313(f92(f890(x80692,a881)),x80693),x80691)))
% 119.46/119.26 [8140]~P4(x81402)+E(x81401,f178(f890(x81402,a881)))+E(x81403,f178(f890(x81402,a881)))+~P1(f313(f54(x81402),x81401))+~P1(f313(f54(x81402),x81403))+~E(f313(f313(f93(f890(x81402,a881)),x81403),x81401),f178(f890(x81402,a881)))+E(f313(f313(f177(x81402),f13(x81402,f177(x81402),x81403)),f13(x81402,f177(x81402),x81401)),f13(x81402,f177(x81402),f313(f313(f92(f890(x81402,a881)),x81403),x81401)))
% 119.46/119.26 [8141]~P4(x81412)+E(x81411,f178(f890(x81412,a881)))+E(x81413,f178(f890(x81412,a881)))+~P1(f313(f54(x81412),x81411))+~P1(f313(f54(x81412),x81413))+~E(f313(f313(f93(f890(x81412,a881)),x81413),x81411),f178(f890(x81412,a881)))+E(f313(f313(f227(x81412),f14(x81412,f227(x81412),x81413)),f14(x81412,f227(x81412),x81411)),f14(x81412,f227(x81412),f313(f313(f92(f890(x81412,a881)),x81413),x81411)))
% 119.46/119.26 [7852]E(x78521,f2(a1))+E(f313(f313(f29(a1),x78522),x78521),x78523)+~P1(f313(f313(f222(a1),x78524),f2(a1)))+~E(x78522,f313(f313(f73(a1),f313(f313(f74(a1),x78521),x78523)),x78524))+~P1(f313(f313(f222(a1),f2(a1)),x78524))+~P1(f313(f313(f223(a1),x78524),x78521))+~P1(f313(f313(f223(a1),x78521),x78524))
% 119.46/119.26 [7860]E(f38(a1,x78602,x78601),x78603)+E(x78601,f2(a1))+~P1(f313(f313(f222(a1),x78603),f2(a1)))+~E(x78602,f313(f313(f73(a1),f313(f313(f74(a1),x78601),x78604)),x78603))+~P1(f313(f313(f222(a1),f2(a1)),x78603))+~P1(f313(f313(f223(a1),x78603),x78601))+~P1(f313(f313(f223(a1),x78601),x78603))
% 119.46/119.26 [6889]~P66(x68892)+E(x68891,f2(x68892))+E(x68893,f2(x68892))+~E(f313(f313(f29(x68892),x68894),x68893),f313(f313(f29(x68892),x68895),x68891))+E(f313(f313(f74(x68892),x68894),x68891),f313(f313(f74(x68892),x68893),x68895))+~P1(f313(f313(f273(x68892),x68891),x68895))+~P1(f313(f313(f273(x68892),x68893),x68894))
% 119.46/119.26 [6890]~P66(x68902)+E(x68901,f2(x68902))+E(x68903,f2(x68902))+~E(f313(f313(f74(x68902),x68904),x68903),f313(f313(f74(x68902),x68901),x68905))+E(f313(f313(f29(x68902),x68904),x68901),f313(f313(f29(x68902),x68905),x68903))+~P1(f313(f313(f273(x68902),x68901),x68904))+~P1(f313(f313(f273(x68902),x68903),x68905))
% 119.46/119.26 [7767]~P18(x77672,x77675,x77674)+E(x77671,f178(f890(x77672,a881)))+E(x77673,f178(f890(x77672,a881)))+~P1(f313(f54(x77672),x77671))+~P1(f313(f54(x77672),x77673))+~E(f313(f313(f93(f890(x77672,a881)),x77673),x77671),f178(f890(x77672,a881)))+E(f313(x77674,f313(f313(f92(f890(x77672,a881)),x77673),x77671)),f313(f313(x77675,f313(x77674,x77673)),f313(x77674,x77671)))
% 119.46/119.26 [9435]~P24(x94353,x94351,x94355,x94354)+~P24(x94351,x94353,x94356,x94352)+E(f313(f28(x94351),x94352),f313(f28(x94353),x94354))+~P1(f313(f54(x94353),x94354))+~P1(f313(f54(x94351),x94352))+~P1(f313(f313(f222(f890(x94353,a881)),f313(f296(x94351,x94353,x94356),x94352)),x94354))+~P1(f313(f313(f222(f890(x94351,a881)),f313(f296(x94353,x94351,x94355),x94354)),x94352))
% 119.46/119.26 [9379]~P1(f313(f313(f223(a1),f313(f313(f73(a1),f313(f313(f74(a1),x93795),x93791)),x93796)),f2(a1)))+~E(f313(f313(f73(a1),f313(f313(f74(a1),x93793),x93792)),x93794),f313(f313(f73(a1),f313(f313(f74(a1),x93795),x93791)),x93796))+~P1(f313(f313(f222(a1),f2(a1)),x93796))+~P1(f313(f313(f223(a1),f2(a1)),x93795))+~P1(f313(f313(f222(a1),x93795),x93793))+~P1(f313(f313(f223(a1),x93794),x93793))+P1(f313(f313(f222(a1),x93791),x93792))
% 119.46/119.26 [9142]~E(f313(f313(f73(a1),f313(f313(f74(a1),x91423),x91421)),x91424),f313(f313(f73(a1),f313(f313(f74(a1),x91425),x91422)),x91426))+~P1(f313(f313(f222(a1),f2(a1)),x91424))+~P1(f313(f313(f223(a1),f2(a1)),x91425))+~P1(f313(f313(f222(a1),x91425),x91423))+~P1(f313(f313(f223(a1),x91426),x91425))+P1(f313(f313(f222(a1),x91421),x91422))+~P1(f313(f313(f222(a1),f2(a1)),f313(f313(f73(a1),f313(f313(f74(a1),x91425),x91422)),x91426)))
% 119.46/119.26 [9320]~P135(x93201)+~E(f313(f313(f73(x93201),x93202),x93204),f71(x93201))+~P1(f313(f313(f222(x93201),x93205),x93206))+~P1(f313(f313(f222(x93201),x93203),x93206))+~P1(f313(f313(f222(x93201),f2(x93201)),x93204))+~P1(f313(f313(f222(x93201),f2(x93201)),x93202))+P1(f313(f313(f222(x93201),f313(f313(f73(x93201),f313(f313(f74(x93201),x93202),x93203)),f313(f313(f74(x93201),x93204),x93205))),x93206))
% 119.46/119.26 [9321]~P134(x93211)+~E(f313(f313(f73(x93211),x93212),x93214),f71(x93211))+~P1(f313(f313(f222(x93211),f2(x93211)),x93214))+~P1(f313(f313(f222(x93211),f2(x93211)),x93212))+~P1(f313(f313(f223(x93211),x93215),x93216))+~P1(f313(f313(f223(x93211),x93213),x93216))+P1(f313(f313(f223(x93211),f313(f313(f73(x93211),f313(f313(f74(x93211),x93212),x93213)),f313(f313(f74(x93211),x93214),x93215))),x93216))
% 119.46/119.26 [10155]~P8(x101557,x101556,x101555)+E(x101551,x101552)+~P11(x101557,f890(x101554,a881),x101555,x101553)+E(f313(x101553,f457(x101551,x101552,x101553,x101554,x101555,x101556,x101557)),f313(x101553,f458(x101551,x101552,x101553,x101554,x101555,x101556,x101557)))+~E(f313(f313(f33(x101557,f890(x101554,a881)),x101551),x101553),f313(f313(f33(x101557,f890(x101554,a881)),x101552),x101553))+~P1(f313(f313(f315(f890(x101557,a881)),x101552),f313(f313(f53(x101557),x101556),x101555)))+~P1(f313(f313(f315(f890(x101557,a881)),x101551),f313(f313(f53(x101557),x101556),x101555)))
% 119.46/119.26 [10200]~P8(x102003,x102007,x102006)+E(x102001,x102002)+~P11(x102003,f890(x102005,a881),x102006,x102004)+~E(f313(f313(f33(x102003,f890(x102005,a881)),x102001),x102004),f313(f313(f33(x102003,f890(x102005,a881)),x102002),x102004))+P1(f313(f313(f315(x102003),f458(x102001,x102002,x102004,x102005,x102006,x102007,x102003)),x102007))+~P1(f313(f313(f315(f890(x102003,a881)),x102002),f313(f313(f53(x102003),x102007),x102006)))+~P1(f313(f313(f315(f890(x102003,a881)),x102001),f313(f313(f53(x102003),x102007),x102006)))
% 119.46/119.26 [10201]~P8(x102013,x102017,x102016)+E(x102011,x102012)+~P11(x102013,f890(x102015,a881),x102016,x102014)+~E(f313(f313(f33(x102013,f890(x102015,a881)),x102011),x102014),f313(f313(f33(x102013,f890(x102015,a881)),x102012),x102014))+P1(f313(f313(f315(x102013),f457(x102011,x102012,x102014,x102015,x102016,x102017,x102013)),x102017))+~P1(f313(f313(f315(f890(x102013,a881)),x102012),f313(f313(f53(x102013),x102017),x102016)))+~P1(f313(f313(f315(f890(x102013,a881)),x102011),f313(f313(f53(x102013),x102017),x102016)))
% 119.46/119.26 [10278]E(x102781,x102782)+~P8(x102783,x102786,x102787)+~P11(x102783,f890(x102784,a881),x102787,x102785)+~E(f313(f313(f33(x102783,f890(x102784,a881)),x102781),x102785),f313(f313(f33(x102783,f890(x102784,a881)),x102782),x102785))+~P1(f313(f313(f315(f889(x102783,x102783)),f313(f313(f240(x102783,x102783),f458(x102781,x102782,x102785,x102784,x102787,x102786,x102783)),f457(x102781,x102782,x102785,x102784,x102787,x102786,x102783))),x102787))+~P1(f313(f313(f315(f890(x102783,a881)),x102782),f313(f313(f53(x102783),x102786),x102787)))+~P1(f313(f313(f315(f890(x102783,a881)),x102781),f313(f313(f53(x102783),x102786),x102787)))
% 119.46/119.26 [9141]~P8(x91411,x91417,x91414)+~E(x91415,x91416)+~P1(f313(f313(f315(x91411),x91413),x91416))+~P1(f313(f313(f315(x91411),x91412),x91415))+~P1(f313(f313(f315(f890(x91411,a881)),x91416),f313(f313(f53(x91411),x91417),x91414)))+~P1(f313(f313(f315(f890(x91411,a881)),x91415),f313(f313(f53(x91411),x91417),x91414)))+P1(f313(f313(f315(f889(x91411,x91411)),f313(f313(f240(x91411,x91411),x91412),x91413)),x91414))
% 119.46/119.26 [9275]E(x92751,x92752)+~P8(x92753,x92754,x92755)+~P1(f313(f313(f315(x92753),x92756),x92752))+~P1(f313(f313(f315(x92753),x92757),x92751))+~P1(f313(f313(f315(f890(x92753,a881)),x92752),f313(f313(f53(x92753),x92754),x92755)))+~P1(f313(f313(f315(f890(x92753,a881)),x92751),f313(f313(f53(x92753),x92754),x92755)))+~P1(f313(f313(f315(f889(x92753,x92753)),f313(f313(f240(x92753,x92753),x92757),x92756)),x92755))
% 119.46/119.26 [9276]E(x92761,x92762)+~P8(x92763,x92764,x92765)+~P1(f313(f313(f315(x92763),x92766),x92762))+~P1(f313(f313(f315(x92763),x92767),x92761))+~P1(f313(f313(f315(f890(x92763,a881)),x92762),f313(f313(f53(x92763),x92764),x92765)))+~P1(f313(f313(f315(f890(x92763,a881)),x92761),f313(f313(f53(x92763),x92764),x92765)))+~P1(f313(f313(f315(f889(x92763,x92763)),f313(f313(f240(x92763,x92763),x92767),x92766)),x92765))
% 119.46/119.26 [10298]~P8(x102989,x102988,x102987)+~P8(x102981,x1029811,x1029810)+~P12(x102981,x102989,f890(x102986,a881),x1029810,x102987,x102985)+P1(f313(f313(f315(x102981),f460(x102982,x102983,x102984,x102985,x102986,x102987,x102988,x102989,x1029810,x1029811,x102981)),x1029811))+~P1(f313(f313(f315(f890(x102989,a881)),x102983),f313(f313(f53(x102989),x102988),x102987)))+~P1(f313(f313(f315(f890(x102981,a881)),x102984),f313(f313(f53(x102981),x1029811),x1029810)))+P1(f313(f313(f315(f890(x102986,a881)),f313(f313(f33(x102981,f890(x102986,a881)),x102984),f313(f313(f10(f890(x102989,f890(x102986,a881)),f890(x102986,a881),x102981),f313(f33(x102989,f890(x102986,a881)),x102983)),x102985))),x102982))
% 119.46/119.26 [10299]~P8(x1029911,x1029910,x102999)+~P8(x102991,x102998,x102997)+~P12(x1029911,x102991,f890(x102996,a881),x102999,x102997,x102995)+P1(f313(f313(f315(x102991),f461(x102992,x102993,x102994,x102995,x102996,x102997,x102998,x102991,x102999,x1029910,x1029911)),x102998))+~P1(f313(f313(f315(f890(x1029911,a881)),x102994),f313(f313(f53(x1029911),x1029910),x102999)))+~P1(f313(f313(f315(f890(x102991,a881)),x102993),f313(f313(f53(x102991),x102998),x102997)))+P1(f313(f313(f315(f890(x102996,a881)),f313(f313(f33(x1029911,f890(x102996,a881)),x102994),f313(f313(f10(f890(x102991,f890(x102996,a881)),f890(x102996,a881),x1029911),f313(f33(x102991,f890(x102996,a881)),x102993)),x102995))),x102992))
% 119.46/119.26 [10300]~P8(x103002,x103008,x103009)+~P8(x103004,x1030010,x1030011)+~P12(x103002,x103004,f890(x103001,a881),x103009,x1030011,x103006)+~P1(f313(f313(f315(f890(x103002,a881)),x103003),f313(f313(f53(x103002),x103008),x103009)))+~P1(f313(f313(f315(f890(x103004,a881)),x103005),f313(f313(f53(x103004),x1030010),x1030011)))+~P1(f313(f313(f315(f890(x103001,a881)),f313(f313(x103006,f460(x103007,x103005,x103003,x103006,x103001,x1030011,x1030010,x103004,x103009,x103008,x103002)),f461(x103007,x103005,x103003,x103006,x103001,x1030011,x1030010,x103004,x103009,x103008,x103002))),x103007))+P1(f313(f313(f315(f890(x103001,a881)),f313(f313(f33(x103002,f890(x103001,a881)),x103003),f313(f313(f10(f890(x103004,f890(x103001,a881)),f890(x103001,a881),x103002),f313(f33(x103004,f890(x103001,a881)),x103005)),x103006))),x103007))
% 119.46/119.26 [9177]E(x91771,x91772)+~P4(x91774)+~P24(x91773,x91774,x91775,f313(f313(f92(f890(x91773,a881)),f313(f160(x91773),x91771)),f313(f160(x91773),x91772)))+~E(f313(f160(x91773),x91771),f313(f160(x91773),x91772))+~P13(x91774,f313(f313(f142(x91773,x91774),x91775),x91772))+~P13(x91774,f313(f313(f142(x91773,x91774),x91775),x91771))+~P1(f313(f125(x91774),f313(f313(f142(x91773,x91774),x91775),x91772)))+~P1(f313(f125(x91774),f313(f313(f142(x91773,x91774),x91775),x91771)))
% 119.46/119.26 %EqnAxiom
% 119.46/119.26 [1]E(x11,x11)
% 119.46/119.26 [2]E(x22,x21)+~E(x21,x22)
% 119.46/119.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 119.46/119.26 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 119.46/119.26 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 119.46/119.26 [6]~E(x61,x62)+E(f91(x61),f91(x62))
% 119.46/119.26 [7]~E(x71,x72)+E(f77(x71),f77(x72))
% 119.46/119.26 [8]~E(x81,x82)+E(f313(x81,x83),f313(x82,x83))
% 119.46/119.26 [9]~E(x91,x92)+E(f313(x93,x91),f313(x93,x92))
% 119.46/119.26 [10]~E(x101,x102)+E(f73(x101),f73(x102))
% 119.46/119.26 [11]~E(x111,x112)+E(f315(x111),f315(x112))
% 119.46/119.26 [12]~E(x121,x122)+E(f177(x121),f177(x122))
% 119.46/119.26 [13]~E(x131,x132)+E(f92(x131),f92(x132))
% 119.46/119.26 [14]~E(x141,x142)+E(f178(x141),f178(x142))
% 119.46/119.26 [15]~E(x151,x152)+E(f890(x151,x153),f890(x152,x153))
% 119.46/119.26 [16]~E(x161,x162)+E(f890(x163,x161),f890(x163,x162))
% 119.46/119.26 [17]~E(x171,x172)+E(f227(x171),f227(x172))
% 119.46/119.26 [18]~E(x181,x182)+E(f93(x181),f93(x182))
% 119.46/119.26 [19]~E(x191,x192)+E(f94(x191),f94(x192))
% 119.46/119.26 [20]~E(x201,x202)+E(f25(x201),f25(x202))
% 119.46/119.26 [21]~E(x211,x212)+E(f461(x211,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112),f461(x212,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112))
% 119.46/119.26 [22]~E(x221,x222)+E(f461(x223,x221,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f461(x223,x222,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 119.46/119.26 [23]~E(x231,x232)+E(f461(x233,x234,x231,x235,x236,x237,x238,x239,x2310,x2311,x2312),f461(x233,x234,x232,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 119.46/119.26 [24]~E(x241,x242)+E(f461(x243,x244,x245,x241,x246,x247,x248,x249,x2410,x2411,x2412),f461(x243,x244,x245,x242,x246,x247,x248,x249,x2410,x2411,x2412))
% 119.46/119.26 [25]~E(x251,x252)+E(f461(x253,x254,x255,x256,x251,x257,x258,x259,x2510,x2511,x2512),f461(x253,x254,x255,x256,x252,x257,x258,x259,x2510,x2511,x2512))
% 119.46/119.26 [26]~E(x261,x262)+E(f461(x263,x264,x265,x266,x267,x261,x268,x269,x2610,x2611,x2612),f461(x263,x264,x265,x266,x267,x262,x268,x269,x2610,x2611,x2612))
% 119.46/119.26 [27]~E(x271,x272)+E(f461(x273,x274,x275,x276,x277,x278,x271,x279,x2710,x2711,x2712),f461(x273,x274,x275,x276,x277,x278,x272,x279,x2710,x2711,x2712))
% 119.46/119.26 [28]~E(x281,x282)+E(f461(x283,x284,x285,x286,x287,x288,x289,x281,x2810,x2811,x2812),f461(x283,x284,x285,x286,x287,x288,x289,x282,x2810,x2811,x2812))
% 119.46/119.26 [29]~E(x291,x292)+E(f461(x293,x294,x295,x296,x297,x298,x299,x2910,x291,x2911,x2912),f461(x293,x294,x295,x296,x297,x298,x299,x2910,x292,x2911,x2912))
% 119.46/119.26 [30]~E(x301,x302)+E(f461(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x301,x3012),f461(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x302,x3012))
% 119.46/119.26 [31]~E(x311,x312)+E(f461(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x311),f461(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x312))
% 119.46/119.26 [32]~E(x321,x322)+E(f71(x321),f71(x322))
% 119.46/119.26 [33]~E(x331,x332)+E(f506(x331,x333,x334),f506(x332,x333,x334))
% 119.46/119.26 [34]~E(x341,x342)+E(f506(x343,x341,x344),f506(x343,x342,x344))
% 119.46/119.26 [35]~E(x351,x352)+E(f506(x353,x354,x351),f506(x353,x354,x352))
% 119.46/119.26 [36]~E(x361,x362)+E(f6(x361),f6(x362))
% 119.46/119.26 [37]~E(x371,x372)+E(f460(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f460(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 119.46/119.26 [38]~E(x381,x382)+E(f460(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f460(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 119.46/119.26 [39]~E(x391,x392)+E(f460(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f460(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 119.46/119.26 [40]~E(x401,x402)+E(f460(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f460(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 119.46/119.26 [41]~E(x411,x412)+E(f460(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f460(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 119.46/119.26 [42]~E(x421,x422)+E(f460(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f460(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 119.46/119.26 [43]~E(x431,x432)+E(f460(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f460(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 119.46/119.26 [44]~E(x441,x442)+E(f460(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f460(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 119.46/119.26 [45]~E(x451,x452)+E(f460(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f460(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 119.46/119.26 [46]~E(x461,x462)+E(f460(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f460(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 119.46/119.26 [47]~E(x471,x472)+E(f460(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f460(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 119.46/119.26 [48]~E(x481,x482)+E(f9(x481,x483,x484),f9(x482,x483,x484))
% 119.46/119.26 [49]~E(x491,x492)+E(f9(x493,x491,x494),f9(x493,x492,x494))
% 119.46/119.26 [50]~E(x501,x502)+E(f9(x503,x504,x501),f9(x503,x504,x502))
% 119.46/119.26 [51]~E(x511,x512)+E(f102(x511),f102(x512))
% 119.46/119.26 [52]~E(x521,x522)+E(f74(x521),f74(x522))
% 119.46/119.26 [53]~E(x531,x532)+E(f882(x531),f882(x532))
% 119.46/119.26 [54]~E(x541,x542)+E(f884(x541),f884(x542))
% 119.46/119.26 [55]~E(x551,x552)+E(f887(x551),f887(x552))
% 119.46/119.26 [56]~E(x561,x562)+E(f885(x561),f885(x562))
% 119.46/119.26 [57]~E(x571,x572)+E(f72(x571),f72(x572))
% 119.46/119.26 [58]~E(x581,x582)+E(f95(x581),f95(x582))
% 119.46/119.26 [59]~E(x591,x592)+E(f223(x591),f223(x592))
% 119.46/119.26 [60]~E(x601,x602)+E(f11(x601,x603),f11(x602,x603))
% 119.46/119.26 [61]~E(x611,x612)+E(f11(x613,x611),f11(x613,x612))
% 119.46/119.26 [62]~E(x621,x622)+E(f179(x621),f179(x622))
% 119.46/119.26 [63]~E(x631,x632)+E(f232(x631),f232(x632))
% 119.46/119.26 [64]~E(x641,x642)+E(f66(x641,x643,x644,x645),f66(x642,x643,x644,x645))
% 119.46/119.26 [65]~E(x651,x652)+E(f66(x653,x651,x654,x655),f66(x653,x652,x654,x655))
% 119.46/119.26 [66]~E(x661,x662)+E(f66(x663,x664,x661,x665),f66(x663,x664,x662,x665))
% 119.46/119.26 [67]~E(x671,x672)+E(f66(x673,x674,x675,x671),f66(x673,x674,x675,x672))
% 119.46/119.26 [68]~E(x681,x682)+E(f54(x681),f54(x682))
% 119.46/119.26 [69]~E(x691,x692)+E(f139(x691),f139(x692))
% 119.46/119.26 [70]~E(x701,x702)+E(f539(x701,x703,x704,x705,x706,x707),f539(x702,x703,x704,x705,x706,x707))
% 119.46/119.26 [71]~E(x711,x712)+E(f539(x713,x711,x714,x715,x716,x717),f539(x713,x712,x714,x715,x716,x717))
% 119.46/119.26 [72]~E(x721,x722)+E(f539(x723,x724,x721,x725,x726,x727),f539(x723,x724,x722,x725,x726,x727))
% 119.46/119.26 [73]~E(x731,x732)+E(f539(x733,x734,x735,x731,x736,x737),f539(x733,x734,x735,x732,x736,x737))
% 119.46/119.26 [74]~E(x741,x742)+E(f539(x743,x744,x745,x746,x741,x747),f539(x743,x744,x745,x746,x742,x747))
% 119.46/119.26 [75]~E(x751,x752)+E(f539(x753,x754,x755,x756,x757,x751),f539(x753,x754,x755,x756,x757,x752))
% 119.46/119.26 [76]~E(x761,x762)+E(f7(x761),f7(x762))
% 119.46/119.26 [77]~E(x771,x772)+E(f53(x771),f53(x772))
% 119.46/119.26 [78]~E(x781,x782)+E(f152(x781),f152(x782))
% 119.46/119.26 [79]~E(x791,x792)+E(f137(x791,x793,x794,x795,x796),f137(x792,x793,x794,x795,x796))
% 119.46/119.26 [80]~E(x801,x802)+E(f137(x803,x801,x804,x805,x806),f137(x803,x802,x804,x805,x806))
% 119.46/119.26 [81]~E(x811,x812)+E(f137(x813,x814,x811,x815,x816),f137(x813,x814,x812,x815,x816))
% 119.46/119.26 [82]~E(x821,x822)+E(f137(x823,x824,x825,x821,x826),f137(x823,x824,x825,x822,x826))
% 119.46/119.26 [83]~E(x831,x832)+E(f137(x833,x834,x835,x836,x831),f137(x833,x834,x835,x836,x832))
% 119.46/119.26 [84]~E(x841,x842)+E(f222(x841),f222(x842))
% 119.46/119.26 [85]~E(x851,x852)+E(f122(x851),f122(x852))
% 119.46/119.26 [86]~E(x861,x862)+E(f14(x861,x863,x864),f14(x862,x863,x864))
% 119.46/119.26 [87]~E(x871,x872)+E(f14(x873,x871,x874),f14(x873,x872,x874))
% 119.46/119.26 [88]~E(x881,x882)+E(f14(x883,x884,x881),f14(x883,x884,x882))
% 119.46/119.26 [89]~E(x891,x892)+E(f889(x891,x893),f889(x892,x893))
% 119.46/119.26 [90]~E(x901,x902)+E(f889(x903,x901),f889(x903,x902))
% 119.46/119.26 [91]~E(x911,x912)+E(f101(x911),f101(x912))
% 119.46/119.26 [92]~E(x921,x922)+E(f10(x921,x923,x924),f10(x922,x923,x924))
% 119.46/119.26 [93]~E(x931,x932)+E(f10(x933,x931,x934),f10(x933,x932,x934))
% 119.46/119.26 [94]~E(x941,x942)+E(f10(x943,x944,x941),f10(x943,x944,x942))
% 119.46/119.26 [95]~E(x951,x952)+E(f465(x951,x953,x954),f465(x952,x953,x954))
% 119.46/119.26 [96]~E(x961,x962)+E(f465(x963,x961,x964),f465(x963,x962,x964))
% 119.46/119.26 [97]~E(x971,x972)+E(f465(x973,x974,x971),f465(x973,x974,x972))
% 119.46/119.26 [98]~E(x981,x982)+E(f169(x981,x983),f169(x982,x983))
% 119.46/119.26 [99]~E(x991,x992)+E(f169(x993,x991),f169(x993,x992))
% 119.46/119.26 [100]~E(x1001,x1002)+E(f295(x1001),f295(x1002))
% 119.46/119.26 [101]~E(x1011,x1012)+E(f160(x1011),f160(x1012))
% 119.46/119.26 [102]~E(x1021,x1022)+E(f273(x1021),f273(x1022))
% 119.46/119.26 [103]~E(x1031,x1032)+E(f20(x1031,x1033,x1034),f20(x1032,x1033,x1034))
% 119.46/119.26 [104]~E(x1041,x1042)+E(f20(x1043,x1041,x1044),f20(x1043,x1042,x1044))
% 119.46/119.26 [105]~E(x1051,x1052)+E(f20(x1053,x1054,x1051),f20(x1053,x1054,x1052))
% 119.46/119.26 [106]~E(x1061,x1062)+E(f771(x1061,x1063,x1064),f771(x1062,x1063,x1064))
% 119.46/119.26 [107]~E(x1071,x1072)+E(f771(x1073,x1071,x1074),f771(x1073,x1072,x1074))
% 119.46/119.26 [108]~E(x1081,x1082)+E(f771(x1083,x1084,x1081),f771(x1083,x1084,x1082))
% 119.46/119.26 [109]~E(x1091,x1092)+E(f276(x1091,x1093,x1094,x1095),f276(x1092,x1093,x1094,x1095))
% 119.46/119.26 [110]~E(x1101,x1102)+E(f276(x1103,x1101,x1104,x1105),f276(x1103,x1102,x1104,x1105))
% 119.46/119.26 [111]~E(x1111,x1112)+E(f276(x1113,x1114,x1111,x1115),f276(x1113,x1114,x1112,x1115))
% 119.46/119.26 [112]~E(x1121,x1122)+E(f276(x1123,x1124,x1125,x1121),f276(x1123,x1124,x1125,x1122))
% 119.46/119.26 [113]~E(x1131,x1132)+E(f250(x1131),f250(x1132))
% 119.46/119.26 [114]~E(x1141,x1142)+E(f28(x1141),f28(x1142))
% 119.46/119.26 [115]~E(x1151,x1152)+E(f268(x1151),f268(x1152))
% 119.46/119.26 [116]~E(x1161,x1162)+E(f240(x1161,x1163),f240(x1162,x1163))
% 119.46/119.26 [117]~E(x1171,x1172)+E(f240(x1173,x1171),f240(x1173,x1172))
% 119.46/119.26 [118]~E(x1181,x1182)+E(f842(x1181,x1183,x1184),f842(x1182,x1183,x1184))
% 119.46/119.26 [119]~E(x1191,x1192)+E(f842(x1193,x1191,x1194),f842(x1193,x1192,x1194))
% 119.46/119.26 [120]~E(x1201,x1202)+E(f842(x1203,x1204,x1201),f842(x1203,x1204,x1202))
% 119.46/119.26 [121]~E(x1211,x1212)+E(f126(x1211),f126(x1212))
% 119.46/119.26 [122]~E(x1221,x1222)+E(f8(x1221,x1223),f8(x1222,x1223))
% 119.46/119.26 [123]~E(x1231,x1232)+E(f8(x1233,x1231),f8(x1233,x1232))
% 119.46/119.26 [124]~E(x1241,x1242)+E(f133(x1241,x1243),f133(x1242,x1243))
% 119.46/119.26 [125]~E(x1251,x1252)+E(f133(x1253,x1251),f133(x1253,x1252))
% 119.46/119.26 [126]~E(x1261,x1262)+E(f275(x1261,x1263,x1264),f275(x1262,x1263,x1264))
% 119.46/119.26 [127]~E(x1271,x1272)+E(f275(x1273,x1271,x1274),f275(x1273,x1272,x1274))
% 119.46/119.26 [128]~E(x1281,x1282)+E(f275(x1283,x1284,x1281),f275(x1283,x1284,x1282))
% 119.46/119.26 [129]~E(x1291,x1292)+E(f104(x1291),f104(x1292))
% 119.46/119.26 [130]~E(x1301,x1302)+E(f715(x1301,x1303,x1304,x1305,x1306),f715(x1302,x1303,x1304,x1305,x1306))
% 119.46/119.26 [131]~E(x1311,x1312)+E(f715(x1313,x1311,x1314,x1315,x1316),f715(x1313,x1312,x1314,x1315,x1316))
% 119.46/119.26 [132]~E(x1321,x1322)+E(f715(x1323,x1324,x1321,x1325,x1326),f715(x1323,x1324,x1322,x1325,x1326))
% 119.46/119.26 [133]~E(x1331,x1332)+E(f715(x1333,x1334,x1335,x1331,x1336),f715(x1333,x1334,x1335,x1332,x1336))
% 119.46/119.26 [134]~E(x1341,x1342)+E(f715(x1343,x1344,x1345,x1346,x1341),f715(x1343,x1344,x1345,x1346,x1342))
% 119.46/119.26 [135]~E(x1351,x1352)+E(f153(x1351),f153(x1352))
% 119.46/119.26 [136]~E(x1361,x1362)+E(f29(x1361),f29(x1362))
% 119.46/119.26 [137]~E(x1371,x1372)+E(f32(x1371,x1373),f32(x1372,x1373))
% 119.46/119.26 [138]~E(x1381,x1382)+E(f32(x1383,x1381),f32(x1383,x1382))
% 119.46/119.26 [139]~E(x1391,x1392)+E(f97(x1391),f97(x1392))
% 119.46/119.26 [140]~E(x1401,x1402)+E(f99(x1401),f99(x1402))
% 119.46/119.26 [141]~E(x1411,x1412)+E(f314(x1411),f314(x1412))
% 119.46/119.26 [142]~E(x1421,x1422)+E(f289(x1421,x1423,x1424),f289(x1422,x1423,x1424))
% 119.46/119.26 [143]~E(x1431,x1432)+E(f289(x1433,x1431,x1434),f289(x1433,x1432,x1434))
% 119.46/119.26 [144]~E(x1441,x1442)+E(f289(x1443,x1444,x1441),f289(x1443,x1444,x1442))
% 119.46/119.26 [145]~E(x1451,x1452)+E(f296(x1451,x1453,x1454),f296(x1452,x1453,x1454))
% 119.46/119.26 [146]~E(x1461,x1462)+E(f296(x1463,x1461,x1464),f296(x1463,x1462,x1464))
% 119.46/119.26 [147]~E(x1471,x1472)+E(f296(x1473,x1474,x1471),f296(x1473,x1474,x1472))
% 119.46/119.26 [148]~E(x1481,x1482)+E(f229(x1481,x1483),f229(x1482,x1483))
% 119.46/119.26 [149]~E(x1491,x1492)+E(f229(x1493,x1491),f229(x1493,x1492))
% 119.46/119.26 [150]~E(x1501,x1502)+E(f155(x1501),f155(x1502))
% 119.46/119.26 [151]~E(x1511,x1512)+E(f293(x1511,x1513),f293(x1512,x1513))
% 119.46/119.26 [152]~E(x1521,x1522)+E(f293(x1523,x1521),f293(x1523,x1522))
% 119.46/119.26 [153]~E(x1531,x1532)+E(f125(x1531),f125(x1532))
% 119.46/119.26 [154]~E(x1541,x1542)+E(f134(x1541,x1543),f134(x1542,x1543))
% 119.46/119.26 [155]~E(x1551,x1552)+E(f134(x1553,x1551),f134(x1553,x1552))
% 119.46/119.26 [156]~E(x1561,x1562)+E(f165(x1561,x1563,x1564),f165(x1562,x1563,x1564))
% 119.46/119.26 [157]~E(x1571,x1572)+E(f165(x1573,x1571,x1574),f165(x1573,x1572,x1574))
% 119.46/119.26 [158]~E(x1581,x1582)+E(f165(x1583,x1584,x1581),f165(x1583,x1584,x1582))
% 119.46/119.26 [159]~E(x1591,x1592)+E(f157(x1591,x1593,x1594),f157(x1592,x1593,x1594))
% 119.46/119.26 [160]~E(x1601,x1602)+E(f157(x1603,x1601,x1604),f157(x1603,x1602,x1604))
% 119.46/119.26 [161]~E(x1611,x1612)+E(f157(x1613,x1614,x1611),f157(x1613,x1614,x1612))
% 119.46/119.26 [162]~E(x1621,x1622)+E(f158(x1621,x1623,x1624),f158(x1622,x1623,x1624))
% 119.46/119.26 [163]~E(x1631,x1632)+E(f158(x1633,x1631,x1634),f158(x1633,x1632,x1634))
% 119.46/119.26 [164]~E(x1641,x1642)+E(f158(x1643,x1644,x1641),f158(x1643,x1644,x1642))
% 119.46/119.26 [165]~E(x1651,x1652)+E(f674(x1651,x1653,x1654),f674(x1652,x1653,x1654))
% 119.46/119.26 [166]~E(x1661,x1662)+E(f674(x1663,x1661,x1664),f674(x1663,x1662,x1664))
% 119.46/119.26 [167]~E(x1671,x1672)+E(f674(x1673,x1674,x1671),f674(x1673,x1674,x1672))
% 119.46/119.26 [168]~E(x1681,x1682)+E(f156(x1681),f156(x1682))
% 119.46/119.26 [169]~E(x1691,x1692)+E(f288(x1691,x1693),f288(x1692,x1693))
% 119.46/119.26 [170]~E(x1701,x1702)+E(f288(x1703,x1701),f288(x1703,x1702))
% 119.46/119.26 [171]~E(x1711,x1712)+E(f69(x1711),f69(x1712))
% 119.46/119.26 [172]~E(x1721,x1722)+E(f431(x1721,x1723),f431(x1722,x1723))
% 119.46/119.26 [173]~E(x1731,x1732)+E(f431(x1733,x1731),f431(x1733,x1732))
% 119.46/119.26 [174]~E(x1741,x1742)+E(f385(x1741,x1743,x1744,x1745,x1746,x1747,x1748),f385(x1742,x1743,x1744,x1745,x1746,x1747,x1748))
% 119.46/119.26 [175]~E(x1751,x1752)+E(f385(x1753,x1751,x1754,x1755,x1756,x1757,x1758),f385(x1753,x1752,x1754,x1755,x1756,x1757,x1758))
% 119.46/119.26 [176]~E(x1761,x1762)+E(f385(x1763,x1764,x1761,x1765,x1766,x1767,x1768),f385(x1763,x1764,x1762,x1765,x1766,x1767,x1768))
% 119.46/119.26 [177]~E(x1771,x1772)+E(f385(x1773,x1774,x1775,x1771,x1776,x1777,x1778),f385(x1773,x1774,x1775,x1772,x1776,x1777,x1778))
% 119.46/119.26 [178]~E(x1781,x1782)+E(f385(x1783,x1784,x1785,x1786,x1781,x1787,x1788),f385(x1783,x1784,x1785,x1786,x1782,x1787,x1788))
% 119.46/119.26 [179]~E(x1791,x1792)+E(f385(x1793,x1794,x1795,x1796,x1797,x1791,x1798),f385(x1793,x1794,x1795,x1796,x1797,x1792,x1798))
% 119.46/119.26 [180]~E(x1801,x1802)+E(f385(x1803,x1804,x1805,x1806,x1807,x1808,x1801),f385(x1803,x1804,x1805,x1806,x1807,x1808,x1802))
% 119.46/119.26 [181]~E(x1811,x1812)+E(f441(x1811,x1813,x1814),f441(x1812,x1813,x1814))
% 119.46/119.26 [182]~E(x1821,x1822)+E(f441(x1823,x1821,x1824),f441(x1823,x1822,x1824))
% 119.46/119.26 [183]~E(x1831,x1832)+E(f441(x1833,x1834,x1831),f441(x1833,x1834,x1832))
% 119.46/119.26 [184]~E(x1841,x1842)+E(f142(x1841,x1843),f142(x1842,x1843))
% 119.46/119.26 [185]~E(x1851,x1852)+E(f142(x1853,x1851),f142(x1853,x1852))
% 119.46/119.26 [186]~E(x1861,x1862)+E(f828(x1861,x1863,x1864),f828(x1862,x1863,x1864))
% 119.46/119.26 [187]~E(x1871,x1872)+E(f828(x1873,x1871,x1874),f828(x1873,x1872,x1874))
% 119.46/119.26 [188]~E(x1881,x1882)+E(f828(x1883,x1884,x1881),f828(x1883,x1884,x1882))
% 119.46/119.26 [189]~E(x1891,x1892)+E(f301(x1891,x1893),f301(x1892,x1893))
% 119.46/119.26 [190]~E(x1901,x1902)+E(f301(x1903,x1901),f301(x1903,x1902))
% 119.46/119.26 [191]~E(x1911,x1912)+E(f86(x1911,x1913),f86(x1912,x1913))
% 119.46/119.26 [192]~E(x1921,x1922)+E(f86(x1923,x1921),f86(x1923,x1922))
% 119.46/119.26 [193]~E(x1931,x1932)+E(f746(x1931,x1933),f746(x1932,x1933))
% 119.46/119.26 [194]~E(x1941,x1942)+E(f746(x1943,x1941),f746(x1943,x1942))
% 119.46/119.26 [195]~E(x1951,x1952)+E(f271(x1951,x1953,x1954),f271(x1952,x1953,x1954))
% 119.46/119.26 [196]~E(x1961,x1962)+E(f271(x1963,x1961,x1964),f271(x1963,x1962,x1964))
% 119.46/119.26 [197]~E(x1971,x1972)+E(f271(x1973,x1974,x1971),f271(x1973,x1974,x1972))
% 119.46/119.26 [198]~E(x1981,x1982)+E(f80(x1981),f80(x1982))
% 119.46/119.26 [199]~E(x1991,x1992)+E(f33(x1991,x1993),f33(x1992,x1993))
% 119.46/119.26 [200]~E(x2001,x2002)+E(f33(x2003,x2001),f33(x2003,x2002))
% 119.46/119.26 [201]~E(x2011,x2012)+E(f277(x2011),f277(x2012))
% 119.46/119.26 [202]~E(x2021,x2022)+E(f42(x2021,x2023),f42(x2022,x2023))
% 119.46/119.26 [203]~E(x2031,x2032)+E(f42(x2033,x2031),f42(x2033,x2032))
% 119.46/119.26 [204]~E(x2041,x2042)+E(f230(x2041),f230(x2042))
% 119.46/119.26 [205]~E(x2051,x2052)+E(f245(x2051,x2053,x2054),f245(x2052,x2053,x2054))
% 119.46/119.26 [206]~E(x2061,x2062)+E(f245(x2063,x2061,x2064),f245(x2063,x2062,x2064))
% 119.46/119.26 [207]~E(x2071,x2072)+E(f245(x2073,x2074,x2071),f245(x2073,x2074,x2072))
% 119.46/119.26 [208]~E(x2081,x2082)+E(f256(x2081,x2083),f256(x2082,x2083))
% 119.46/119.26 [209]~E(x2091,x2092)+E(f256(x2093,x2091),f256(x2093,x2092))
% 119.46/119.26 [210]~E(x2101,x2102)+E(f610(x2101,x2103,x2104),f610(x2102,x2103,x2104))
% 119.46/119.26 [211]~E(x2111,x2112)+E(f610(x2113,x2111,x2114),f610(x2113,x2112,x2114))
% 119.46/119.26 [212]~E(x2121,x2122)+E(f610(x2123,x2124,x2121),f610(x2123,x2124,x2122))
% 119.46/119.26 [213]~E(x2131,x2132)+E(f743(x2131,x2133,x2134,x2135),f743(x2132,x2133,x2134,x2135))
% 119.46/119.26 [214]~E(x2141,x2142)+E(f743(x2143,x2141,x2144,x2145),f743(x2143,x2142,x2144,x2145))
% 119.46/119.26 [215]~E(x2151,x2152)+E(f743(x2153,x2154,x2151,x2155),f743(x2153,x2154,x2152,x2155))
% 119.46/119.26 [216]~E(x2161,x2162)+E(f743(x2163,x2164,x2165,x2161),f743(x2163,x2164,x2165,x2162))
% 119.46/119.26 [217]~E(x2171,x2172)+E(f38(x2171,x2173,x2174),f38(x2172,x2173,x2174))
% 119.46/119.26 [218]~E(x2181,x2182)+E(f38(x2183,x2181,x2184),f38(x2183,x2182,x2184))
% 119.46/119.26 [219]~E(x2191,x2192)+E(f38(x2193,x2194,x2191),f38(x2193,x2194,x2192))
% 119.46/119.26 [220]~E(x2201,x2202)+E(f246(x2201,x2203,x2204,x2205,x2206,x2207),f246(x2202,x2203,x2204,x2205,x2206,x2207))
% 119.46/119.26 [221]~E(x2211,x2212)+E(f246(x2213,x2211,x2214,x2215,x2216,x2217),f246(x2213,x2212,x2214,x2215,x2216,x2217))
% 119.46/119.26 [222]~E(x2221,x2222)+E(f246(x2223,x2224,x2221,x2225,x2226,x2227),f246(x2223,x2224,x2222,x2225,x2226,x2227))
% 119.46/119.26 [223]~E(x2231,x2232)+E(f246(x2233,x2234,x2235,x2231,x2236,x2237),f246(x2233,x2234,x2235,x2232,x2236,x2237))
% 119.46/119.26 [224]~E(x2241,x2242)+E(f246(x2243,x2244,x2245,x2246,x2241,x2247),f246(x2243,x2244,x2245,x2246,x2242,x2247))
% 119.46/119.26 [225]~E(x2251,x2252)+E(f246(x2253,x2254,x2255,x2256,x2257,x2251),f246(x2253,x2254,x2255,x2256,x2257,x2252))
% 119.46/119.26 [226]~E(x2261,x2262)+E(f400(x2261,x2263,x2264),f400(x2262,x2263,x2264))
% 119.46/119.26 [227]~E(x2271,x2272)+E(f400(x2273,x2271,x2274),f400(x2273,x2272,x2274))
% 119.46/119.26 [228]~E(x2281,x2282)+E(f400(x2283,x2284,x2281),f400(x2283,x2284,x2282))
% 119.46/119.26 [229]~E(x2291,x2292)+E(f57(x2291,x2293,x2294),f57(x2292,x2293,x2294))
% 119.46/119.26 [230]~E(x2301,x2302)+E(f57(x2303,x2301,x2304),f57(x2303,x2302,x2304))
% 119.46/119.26 [231]~E(x2311,x2312)+E(f57(x2313,x2314,x2311),f57(x2313,x2314,x2312))
% 119.46/119.26 [232]~E(x2321,x2322)+E(f135(x2321,x2323),f135(x2322,x2323))
% 119.46/119.26 [233]~E(x2331,x2332)+E(f135(x2333,x2331),f135(x2333,x2332))
% 119.46/119.26 [234]~E(x2341,x2342)+E(f239(x2341,x2343),f239(x2342,x2343))
% 119.46/119.26 [235]~E(x2351,x2352)+E(f239(x2353,x2351),f239(x2353,x2352))
% 119.46/119.26 [236]~E(x2361,x2362)+E(f41(x2361,x2363),f41(x2362,x2363))
% 119.46/119.26 [237]~E(x2371,x2372)+E(f41(x2373,x2371),f41(x2373,x2372))
% 119.46/119.26 [238]~E(x2381,x2382)+E(f845(x2381,x2383,x2384),f845(x2382,x2383,x2384))
% 119.46/119.26 [239]~E(x2391,x2392)+E(f845(x2393,x2391,x2394),f845(x2393,x2392,x2394))
% 119.46/119.26 [240]~E(x2401,x2402)+E(f845(x2403,x2404,x2401),f845(x2403,x2404,x2402))
% 119.46/119.26 [241]~E(x2411,x2412)+E(f242(x2411,x2413),f242(x2412,x2413))
% 119.46/119.26 [242]~E(x2421,x2422)+E(f242(x2423,x2421),f242(x2423,x2422))
% 119.46/119.26 [243]~E(x2431,x2432)+E(f148(x2431,x2433),f148(x2432,x2433))
% 119.46/119.26 [244]~E(x2441,x2442)+E(f148(x2443,x2441),f148(x2443,x2442))
% 119.46/119.26 [245]~E(x2451,x2452)+E(f46(x2451,x2453),f46(x2452,x2453))
% 119.46/119.26 [246]~E(x2461,x2462)+E(f46(x2463,x2461),f46(x2463,x2462))
% 119.46/119.26 [247]~E(x2471,x2472)+E(f613(x2471,x2473,x2474,x2475,x2476),f613(x2472,x2473,x2474,x2475,x2476))
% 119.46/119.26 [248]~E(x2481,x2482)+E(f613(x2483,x2481,x2484,x2485,x2486),f613(x2483,x2482,x2484,x2485,x2486))
% 119.46/119.26 [249]~E(x2491,x2492)+E(f613(x2493,x2494,x2491,x2495,x2496),f613(x2493,x2494,x2492,x2495,x2496))
% 119.46/119.26 [250]~E(x2501,x2502)+E(f613(x2503,x2504,x2505,x2501,x2506),f613(x2503,x2504,x2505,x2502,x2506))
% 119.46/119.26 [251]~E(x2511,x2512)+E(f613(x2513,x2514,x2515,x2516,x2511),f613(x2513,x2514,x2515,x2516,x2512))
% 119.46/119.26 [252]~E(x2521,x2522)+E(f105(x2521,x2523),f105(x2522,x2523))
% 119.46/119.26 [253]~E(x2531,x2532)+E(f105(x2533,x2531),f105(x2533,x2532))
% 119.46/119.26 [254]~E(x2541,x2542)+E(f244(x2541,x2543),f244(x2542,x2543))
% 119.46/119.26 [255]~E(x2551,x2552)+E(f244(x2553,x2551),f244(x2553,x2552))
% 119.46/119.26 [256]~E(x2561,x2562)+E(f120(x2561,x2563),f120(x2562,x2563))
% 119.46/119.26 [257]~E(x2571,x2572)+E(f120(x2573,x2571),f120(x2573,x2572))
% 119.46/119.26 [258]~E(x2581,x2582)+E(f140(x2581,x2583),f140(x2582,x2583))
% 119.46/119.26 [259]~E(x2591,x2592)+E(f140(x2593,x2591),f140(x2593,x2592))
% 119.46/119.26 [260]~E(x2601,x2602)+E(f304(x2601,x2603),f304(x2602,x2603))
% 119.46/119.26 [261]~E(x2611,x2612)+E(f304(x2613,x2611),f304(x2613,x2612))
% 119.46/119.26 [262]~E(x2621,x2622)+E(f181(x2621),f181(x2622))
% 119.46/119.26 [263]~E(x2631,x2632)+E(f667(x2631,x2633,x2634,x2635),f667(x2632,x2633,x2634,x2635))
% 119.46/119.26 [264]~E(x2641,x2642)+E(f667(x2643,x2641,x2644,x2645),f667(x2643,x2642,x2644,x2645))
% 119.46/119.26 [265]~E(x2651,x2652)+E(f667(x2653,x2654,x2651,x2655),f667(x2653,x2654,x2652,x2655))
% 119.46/119.26 [266]~E(x2661,x2662)+E(f667(x2663,x2664,x2665,x2661),f667(x2663,x2664,x2665,x2662))
% 119.46/119.26 [267]~E(x2671,x2672)+E(f106(x2671),f106(x2672))
% 119.46/119.26 [268]~E(x2681,x2682)+E(f416(x2681,x2683),f416(x2682,x2683))
% 119.46/119.26 [269]~E(x2691,x2692)+E(f416(x2693,x2691),f416(x2693,x2692))
% 119.46/119.26 [270]~E(x2701,x2702)+E(f888(x2701,x2703),f888(x2702,x2703))
% 119.46/119.26 [271]~E(x2711,x2712)+E(f888(x2713,x2711),f888(x2713,x2712))
% 119.46/119.26 [272]~E(x2721,x2722)+E(f891(x2721,x2723),f891(x2722,x2723))
% 119.46/119.26 [273]~E(x2731,x2732)+E(f891(x2733,x2731),f891(x2733,x2732))
% 119.46/119.26 [274]~E(x2741,x2742)+E(f833(x2741,x2743,x2744),f833(x2742,x2743,x2744))
% 119.46/119.26 [275]~E(x2751,x2752)+E(f833(x2753,x2751,x2754),f833(x2753,x2752,x2754))
% 119.46/119.26 [276]~E(x2761,x2762)+E(f833(x2763,x2764,x2761),f833(x2763,x2764,x2762))
% 119.46/119.26 [277]~E(x2771,x2772)+E(f360(x2771,x2773,x2774,x2775,x2776),f360(x2772,x2773,x2774,x2775,x2776))
% 119.46/119.26 [278]~E(x2781,x2782)+E(f360(x2783,x2781,x2784,x2785,x2786),f360(x2783,x2782,x2784,x2785,x2786))
% 119.46/119.26 [279]~E(x2791,x2792)+E(f360(x2793,x2794,x2791,x2795,x2796),f360(x2793,x2794,x2792,x2795,x2796))
% 119.46/119.26 [280]~E(x2801,x2802)+E(f360(x2803,x2804,x2805,x2801,x2806),f360(x2803,x2804,x2805,x2802,x2806))
% 119.46/119.26 [281]~E(x2811,x2812)+E(f360(x2813,x2814,x2815,x2816,x2811),f360(x2813,x2814,x2815,x2816,x2812))
% 119.46/119.26 [282]~E(x2821,x2822)+E(f477(x2821,x2823),f477(x2822,x2823))
% 119.46/119.26 [283]~E(x2831,x2832)+E(f477(x2833,x2831),f477(x2833,x2832))
% 119.46/119.26 [284]~E(x2841,x2842)+E(f147(x2841,x2843),f147(x2842,x2843))
% 119.46/119.26 [285]~E(x2851,x2852)+E(f147(x2853,x2851),f147(x2853,x2852))
% 119.46/119.26 [286]~E(x2861,x2862)+E(f159(x2861),f159(x2862))
% 119.46/119.26 [287]~E(x2871,x2872)+E(f272(x2871,x2873),f272(x2872,x2873))
% 119.46/119.26 [288]~E(x2881,x2882)+E(f272(x2883,x2881),f272(x2883,x2882))
% 119.46/119.26 [289]~E(x2891,x2892)+E(f130(x2891,x2893,x2894,x2895),f130(x2892,x2893,x2894,x2895))
% 119.46/119.26 [290]~E(x2901,x2902)+E(f130(x2903,x2901,x2904,x2905),f130(x2903,x2902,x2904,x2905))
% 119.46/119.26 [291]~E(x2911,x2912)+E(f130(x2913,x2914,x2911,x2915),f130(x2913,x2914,x2912,x2915))
% 119.46/119.26 [292]~E(x2921,x2922)+E(f130(x2923,x2924,x2925,x2921),f130(x2923,x2924,x2925,x2922))
% 119.46/119.26 [293]~E(x2931,x2932)+E(f144(x2931,x2933,x2934,x2935),f144(x2932,x2933,x2934,x2935))
% 119.46/119.26 [294]~E(x2941,x2942)+E(f144(x2943,x2941,x2944,x2945),f144(x2943,x2942,x2944,x2945))
% 119.46/119.26 [295]~E(x2951,x2952)+E(f144(x2953,x2954,x2951,x2955),f144(x2953,x2954,x2952,x2955))
% 119.46/119.26 [296]~E(x2961,x2962)+E(f144(x2963,x2964,x2965,x2961),f144(x2963,x2964,x2965,x2962))
% 119.46/119.26 [297]~E(x2971,x2972)+E(f171(x2971,x2973),f171(x2972,x2973))
% 119.46/119.26 [298]~E(x2981,x2982)+E(f171(x2983,x2981),f171(x2983,x2982))
% 119.46/119.26 [299]~E(x2991,x2992)+E(f131(x2991,x2993),f131(x2992,x2993))
% 119.46/119.26 [300]~E(x3001,x3002)+E(f131(x3003,x3001),f131(x3003,x3002))
% 119.46/119.26 [301]~E(x3011,x3012)+E(f832(x3011,x3013,x3014),f832(x3012,x3013,x3014))
% 119.46/119.26 [302]~E(x3021,x3022)+E(f832(x3023,x3021,x3024),f832(x3023,x3022,x3024))
% 119.46/119.26 [303]~E(x3031,x3032)+E(f832(x3033,x3034,x3031),f832(x3033,x3034,x3032))
% 119.46/119.26 [304]~E(x3041,x3042)+E(f173(x3041,x3043,x3044,x3045),f173(x3042,x3043,x3044,x3045))
% 119.46/119.26 [305]~E(x3051,x3052)+E(f173(x3053,x3051,x3054,x3055),f173(x3053,x3052,x3054,x3055))
% 119.46/119.26 [306]~E(x3061,x3062)+E(f173(x3063,x3064,x3061,x3065),f173(x3063,x3064,x3062,x3065))
% 119.46/119.26 [307]~E(x3071,x3072)+E(f173(x3073,x3074,x3075,x3071),f173(x3073,x3074,x3075,x3072))
% 119.46/119.26 [308]~E(x3081,x3082)+E(f30(x3081,x3083),f30(x3082,x3083))
% 119.46/119.26 [309]~E(x3091,x3092)+E(f30(x3093,x3091),f30(x3093,x3092))
% 119.46/119.26 [310]~E(x3101,x3102)+E(f40(x3101,x3103),f40(x3102,x3103))
% 119.46/119.26 [311]~E(x3111,x3112)+E(f40(x3113,x3111),f40(x3113,x3112))
% 119.46/119.26 [312]~E(x3121,x3122)+E(f870(x3121,x3123),f870(x3122,x3123))
% 119.46/119.26 [313]~E(x3131,x3132)+E(f870(x3133,x3131),f870(x3133,x3132))
% 119.46/119.26 [314]~E(x3141,x3142)+E(f615(x3141,x3143,x3144,x3145,x3146),f615(x3142,x3143,x3144,x3145,x3146))
% 119.46/119.26 [315]~E(x3151,x3152)+E(f615(x3153,x3151,x3154,x3155,x3156),f615(x3153,x3152,x3154,x3155,x3156))
% 119.46/119.26 [316]~E(x3161,x3162)+E(f615(x3163,x3164,x3161,x3165,x3166),f615(x3163,x3164,x3162,x3165,x3166))
% 119.46/119.26 [317]~E(x3171,x3172)+E(f615(x3173,x3174,x3175,x3171,x3176),f615(x3173,x3174,x3175,x3172,x3176))
% 119.46/119.26 [318]~E(x3181,x3182)+E(f615(x3183,x3184,x3185,x3186,x3181),f615(x3183,x3184,x3185,x3186,x3182))
% 119.46/119.26 [319]~E(x3191,x3192)+E(f858(x3191,x3193,x3194),f858(x3192,x3193,x3194))
% 119.46/119.26 [320]~E(x3201,x3202)+E(f858(x3203,x3201,x3204),f858(x3203,x3202,x3204))
% 119.46/119.26 [321]~E(x3211,x3212)+E(f858(x3213,x3214,x3211),f858(x3213,x3214,x3212))
% 119.46/119.26 [322]~E(x3221,x3222)+E(f807(x3221,x3223,x3224,x3225),f807(x3222,x3223,x3224,x3225))
% 119.46/119.26 [323]~E(x3231,x3232)+E(f807(x3233,x3231,x3234,x3235),f807(x3233,x3232,x3234,x3235))
% 119.46/119.26 [324]~E(x3241,x3242)+E(f807(x3243,x3244,x3241,x3245),f807(x3243,x3244,x3242,x3245))
% 119.46/119.26 [325]~E(x3251,x3252)+E(f807(x3253,x3254,x3255,x3251),f807(x3253,x3254,x3255,x3252))
% 119.46/119.26 [326]~E(x3261,x3262)+E(f827(x3261,x3263,x3264),f827(x3262,x3263,x3264))
% 119.46/119.26 [327]~E(x3271,x3272)+E(f827(x3273,x3271,x3274),f827(x3273,x3272,x3274))
% 119.46/119.26 [328]~E(x3281,x3282)+E(f827(x3283,x3284,x3281),f827(x3283,x3284,x3282))
% 119.46/119.26 [329]~E(x3291,x3292)+E(f306(x3291,x3293),f306(x3292,x3293))
% 119.46/119.26 [330]~E(x3301,x3302)+E(f306(x3303,x3301),f306(x3303,x3302))
% 119.46/119.26 [331]~E(x3311,x3312)+E(f282(x3311,x3313,x3314),f282(x3312,x3313,x3314))
% 119.46/119.26 [332]~E(x3321,x3322)+E(f282(x3323,x3321,x3324),f282(x3323,x3322,x3324))
% 119.46/119.26 [333]~E(x3331,x3332)+E(f282(x3333,x3334,x3331),f282(x3333,x3334,x3332))
% 119.46/119.26 [334]~E(x3341,x3342)+E(f523(x3341,x3343,x3344),f523(x3342,x3343,x3344))
% 119.46/119.26 [335]~E(x3351,x3352)+E(f523(x3353,x3351,x3354),f523(x3353,x3352,x3354))
% 119.46/119.26 [336]~E(x3361,x3362)+E(f523(x3363,x3364,x3361),f523(x3363,x3364,x3362))
% 119.46/119.26 [337]~E(x3371,x3372)+E(f267(x3371),f267(x3372))
% 119.46/119.26 [338]~E(x3381,x3382)+E(f79(x3381,x3383),f79(x3382,x3383))
% 119.46/119.26 [339]~E(x3391,x3392)+E(f79(x3393,x3391),f79(x3393,x3392))
% 119.46/119.26 [340]~E(x3401,x3402)+E(f56(x3401,x3403),f56(x3402,x3403))
% 119.46/119.26 [341]~E(x3411,x3412)+E(f56(x3413,x3411),f56(x3413,x3412))
% 119.46/119.26 [342]~E(x3421,x3422)+E(f164(x3421,x3423,x3424),f164(x3422,x3423,x3424))
% 119.46/119.26 [343]~E(x3431,x3432)+E(f164(x3433,x3431,x3434),f164(x3433,x3432,x3434))
% 119.46/119.26 [344]~E(x3441,x3442)+E(f164(x3443,x3444,x3441),f164(x3443,x3444,x3442))
% 119.46/119.26 [345]~E(x3451,x3452)+E(f685(x3451,x3453),f685(x3452,x3453))
% 119.46/119.26 [346]~E(x3461,x3462)+E(f685(x3463,x3461),f685(x3463,x3462))
% 119.46/119.26 [347]~E(x3471,x3472)+E(f555(x3471,x3473,x3474),f555(x3472,x3473,x3474))
% 119.46/119.26 [348]~E(x3481,x3482)+E(f555(x3483,x3481,x3484),f555(x3483,x3482,x3484))
% 119.46/119.26 [349]~E(x3491,x3492)+E(f555(x3493,x3494,x3491),f555(x3493,x3494,x3492))
% 119.46/119.26 [350]~E(x3501,x3502)+E(f751(x3501,x3503,x3504,x3505,x3506),f751(x3502,x3503,x3504,x3505,x3506))
% 119.46/119.26 [351]~E(x3511,x3512)+E(f751(x3513,x3511,x3514,x3515,x3516),f751(x3513,x3512,x3514,x3515,x3516))
% 119.46/119.26 [352]~E(x3521,x3522)+E(f751(x3523,x3524,x3521,x3525,x3526),f751(x3523,x3524,x3522,x3525,x3526))
% 119.46/119.26 [353]~E(x3531,x3532)+E(f751(x3533,x3534,x3535,x3531,x3536),f751(x3533,x3534,x3535,x3532,x3536))
% 119.46/119.26 [354]~E(x3541,x3542)+E(f751(x3543,x3544,x3545,x3546,x3541),f751(x3543,x3544,x3545,x3546,x3542))
% 119.46/119.26 [355]~E(x3551,x3552)+E(f138(x3551,x3553,x3554,x3555),f138(x3552,x3553,x3554,x3555))
% 119.46/119.26 [356]~E(x3561,x3562)+E(f138(x3563,x3561,x3564,x3565),f138(x3563,x3562,x3564,x3565))
% 119.46/119.26 [357]~E(x3571,x3572)+E(f138(x3573,x3574,x3571,x3575),f138(x3573,x3574,x3572,x3575))
% 119.46/119.26 [358]~E(x3581,x3582)+E(f138(x3583,x3584,x3585,x3581),f138(x3583,x3584,x3585,x3582))
% 119.46/119.26 [359]~E(x3591,x3592)+E(f270(x3591,x3593),f270(x3592,x3593))
% 119.46/119.26 [360]~E(x3601,x3602)+E(f270(x3603,x3601),f270(x3603,x3602))
% 119.46/119.26 [361]~E(x3611,x3612)+E(f307(x3611,x3613,x3614),f307(x3612,x3613,x3614))
% 119.46/119.26 [362]~E(x3621,x3622)+E(f307(x3623,x3621,x3624),f307(x3623,x3622,x3624))
% 119.46/119.26 [363]~E(x3631,x3632)+E(f307(x3633,x3634,x3631),f307(x3633,x3634,x3632))
% 119.46/119.26 [364]~E(x3641,x3642)+E(f83(x3641,x3643),f83(x3642,x3643))
% 119.46/119.26 [365]~E(x3651,x3652)+E(f83(x3653,x3651),f83(x3653,x3652))
% 119.46/119.26 [366]~E(x3661,x3662)+E(f297(x3661,x3663,x3664),f297(x3662,x3663,x3664))
% 119.46/119.26 [367]~E(x3671,x3672)+E(f297(x3673,x3671,x3674),f297(x3673,x3672,x3674))
% 119.46/119.26 [368]~E(x3681,x3682)+E(f297(x3683,x3684,x3681),f297(x3683,x3684,x3682))
% 119.46/119.26 [369]~E(x3691,x3692)+E(f863(x3691,x3693),f863(x3692,x3693))
% 119.46/119.26 [370]~E(x3701,x3702)+E(f863(x3703,x3701),f863(x3703,x3702))
% 119.46/119.26 [371]~E(x3711,x3712)+E(f132(x3711,x3713),f132(x3712,x3713))
% 119.46/119.26 [372]~E(x3721,x3722)+E(f132(x3723,x3721),f132(x3723,x3722))
% 119.46/119.26 [373]~E(x3731,x3732)+E(f78(x3731,x3733),f78(x3732,x3733))
% 119.46/119.26 [374]~E(x3741,x3742)+E(f78(x3743,x3741),f78(x3743,x3742))
% 119.46/119.26 [375]~E(x3751,x3752)+E(f68(x3751,x3753,x3754,x3755,x3756),f68(x3752,x3753,x3754,x3755,x3756))
% 119.46/119.26 [376]~E(x3761,x3762)+E(f68(x3763,x3761,x3764,x3765,x3766),f68(x3763,x3762,x3764,x3765,x3766))
% 119.46/119.26 [377]~E(x3771,x3772)+E(f68(x3773,x3774,x3771,x3775,x3776),f68(x3773,x3774,x3772,x3775,x3776))
% 119.46/119.26 [378]~E(x3781,x3782)+E(f68(x3783,x3784,x3785,x3781,x3786),f68(x3783,x3784,x3785,x3782,x3786))
% 119.46/119.26 [379]~E(x3791,x3792)+E(f68(x3793,x3794,x3795,x3796,x3791),f68(x3793,x3794,x3795,x3796,x3792))
% 119.46/119.26 [380]~E(x3801,x3802)+E(f18(x3801,x3803),f18(x3802,x3803))
% 119.46/119.26 [381]~E(x3811,x3812)+E(f18(x3813,x3811),f18(x3813,x3812))
% 119.46/119.26 [382]~E(x3821,x3822)+E(f166(x3821,x3823),f166(x3822,x3823))
% 119.46/119.26 [383]~E(x3831,x3832)+E(f166(x3833,x3831),f166(x3833,x3832))
% 119.46/119.26 [384]~E(x3841,x3842)+E(f141(x3841,x3843),f141(x3842,x3843))
% 119.46/119.26 [385]~E(x3851,x3852)+E(f141(x3853,x3851),f141(x3853,x3852))
% 119.46/119.26 [386]~E(x3861,x3862)+E(f251(x3861,x3863),f251(x3862,x3863))
% 119.46/119.26 [387]~E(x3871,x3872)+E(f251(x3873,x3871),f251(x3873,x3872))
% 119.46/119.26 [388]~E(x3881,x3882)+E(f291(x3881,x3883,x3884),f291(x3882,x3883,x3884))
% 119.46/119.26 [389]~E(x3891,x3892)+E(f291(x3893,x3891,x3894),f291(x3893,x3892,x3894))
% 119.46/119.26 [390]~E(x3901,x3902)+E(f291(x3903,x3904,x3901),f291(x3903,x3904,x3902))
% 119.46/119.26 [391]~E(x3911,x3912)+E(f503(x3911,x3913,x3914,x3915,x3916),f503(x3912,x3913,x3914,x3915,x3916))
% 119.46/119.26 [392]~E(x3921,x3922)+E(f503(x3923,x3921,x3924,x3925,x3926),f503(x3923,x3922,x3924,x3925,x3926))
% 119.46/119.26 [393]~E(x3931,x3932)+E(f503(x3933,x3934,x3931,x3935,x3936),f503(x3933,x3934,x3932,x3935,x3936))
% 119.46/119.26 [394]~E(x3941,x3942)+E(f503(x3943,x3944,x3945,x3941,x3946),f503(x3943,x3944,x3945,x3942,x3946))
% 119.46/119.26 [395]~E(x3951,x3952)+E(f503(x3953,x3954,x3955,x3956,x3951),f503(x3953,x3954,x3955,x3956,x3952))
% 119.46/119.26 [396]~E(x3961,x3962)+E(f305(x3961,x3963,x3964,x3965),f305(x3962,x3963,x3964,x3965))
% 119.46/119.26 [397]~E(x3971,x3972)+E(f305(x3973,x3971,x3974,x3975),f305(x3973,x3972,x3974,x3975))
% 119.46/119.26 [398]~E(x3981,x3982)+E(f305(x3983,x3984,x3981,x3985),f305(x3983,x3984,x3982,x3985))
% 119.46/119.26 [399]~E(x3991,x3992)+E(f305(x3993,x3994,x3995,x3991),f305(x3993,x3994,x3995,x3992))
% 119.46/119.26 [400]~E(x4001,x4002)+E(f108(x4001,x4003,x4004),f108(x4002,x4003,x4004))
% 119.46/119.26 [401]~E(x4011,x4012)+E(f108(x4013,x4011,x4014),f108(x4013,x4012,x4014))
% 119.46/119.26 [402]~E(x4021,x4022)+E(f108(x4023,x4024,x4021),f108(x4023,x4024,x4022))
% 119.46/119.26 [403]~E(x4031,x4032)+E(f287(x4031),f287(x4032))
% 119.46/119.26 [404]~E(x4041,x4042)+E(f110(x4041),f110(x4042))
% 119.46/119.26 [405]~E(x4051,x4052)+E(f367(x4051,x4053,x4054,x4055),f367(x4052,x4053,x4054,x4055))
% 119.46/119.26 [406]~E(x4061,x4062)+E(f367(x4063,x4061,x4064,x4065),f367(x4063,x4062,x4064,x4065))
% 119.46/119.26 [407]~E(x4071,x4072)+E(f367(x4073,x4074,x4071,x4075),f367(x4073,x4074,x4072,x4075))
% 119.46/119.26 [408]~E(x4081,x4082)+E(f367(x4083,x4084,x4085,x4081),f367(x4083,x4084,x4085,x4082))
% 119.46/119.26 [409]~E(x4091,x4092)+E(f127(x4091,x4093),f127(x4092,x4093))
% 119.46/119.26 [410]~E(x4101,x4102)+E(f127(x4103,x4101),f127(x4103,x4102))
% 119.46/119.26 [411]~E(x4111,x4112)+E(f294(x4111),f294(x4112))
% 119.46/119.26 [412]~E(x4121,x4122)+E(f825(x4121,x4123),f825(x4122,x4123))
% 119.46/119.26 [413]~E(x4131,x4132)+E(f825(x4133,x4131),f825(x4133,x4132))
% 119.46/119.26 [414]~E(x4141,x4142)+E(f172(x4141,x4143,x4144),f172(x4142,x4143,x4144))
% 119.46/119.26 [415]~E(x4151,x4152)+E(f172(x4153,x4151,x4154),f172(x4153,x4152,x4154))
% 119.46/119.26 [416]~E(x4161,x4162)+E(f172(x4163,x4164,x4161),f172(x4163,x4164,x4162))
% 119.46/119.26 [417]~E(x4171,x4172)+E(f497(x4171,x4173,x4174),f497(x4172,x4173,x4174))
% 119.46/119.26 [418]~E(x4181,x4182)+E(f497(x4183,x4181,x4184),f497(x4183,x4182,x4184))
% 119.46/119.26 [419]~E(x4191,x4192)+E(f497(x4193,x4194,x4191),f497(x4193,x4194,x4192))
% 119.46/119.26 [420]~E(x4201,x4202)+E(f401(x4201,x4203,x4204,x4205,x4206),f401(x4202,x4203,x4204,x4205,x4206))
% 119.46/119.26 [421]~E(x4211,x4212)+E(f401(x4213,x4211,x4214,x4215,x4216),f401(x4213,x4212,x4214,x4215,x4216))
% 119.46/119.26 [422]~E(x4221,x4222)+E(f401(x4223,x4224,x4221,x4225,x4226),f401(x4223,x4224,x4222,x4225,x4226))
% 119.46/119.26 [423]~E(x4231,x4232)+E(f401(x4233,x4234,x4235,x4231,x4236),f401(x4233,x4234,x4235,x4232,x4236))
% 119.46/119.26 [424]~E(x4241,x4242)+E(f401(x4243,x4244,x4245,x4246,x4241),f401(x4243,x4244,x4245,x4246,x4242))
% 119.46/119.26 [425]~E(x4251,x4252)+E(f146(x4251,x4253),f146(x4252,x4253))
% 119.46/119.26 [426]~E(x4261,x4262)+E(f146(x4263,x4261),f146(x4263,x4262))
% 119.46/119.26 [427]~E(x4271,x4272)+E(f124(x4271,x4273),f124(x4272,x4273))
% 119.46/119.26 [428]~E(x4281,x4282)+E(f124(x4283,x4281),f124(x4283,x4282))
% 119.46/119.26 [429]~E(x4291,x4292)+E(f617(x4291,x4293,x4294,x4295,x4296),f617(x4292,x4293,x4294,x4295,x4296))
% 119.46/119.26 [430]~E(x4301,x4302)+E(f617(x4303,x4301,x4304,x4305,x4306),f617(x4303,x4302,x4304,x4305,x4306))
% 119.46/119.26 [431]~E(x4311,x4312)+E(f617(x4313,x4314,x4311,x4315,x4316),f617(x4313,x4314,x4312,x4315,x4316))
% 119.46/119.26 [432]~E(x4321,x4322)+E(f617(x4323,x4324,x4325,x4321,x4326),f617(x4323,x4324,x4325,x4322,x4326))
% 119.46/119.26 [433]~E(x4331,x4332)+E(f617(x4333,x4334,x4335,x4336,x4331),f617(x4333,x4334,x4335,x4336,x4332))
% 119.46/119.26 [434]~E(x4341,x4342)+E(f344(x4341,x4343,x4344),f344(x4342,x4343,x4344))
% 119.46/119.26 [435]~E(x4351,x4352)+E(f344(x4353,x4351,x4354),f344(x4353,x4352,x4354))
% 119.46/119.26 [436]~E(x4361,x4362)+E(f344(x4363,x4364,x4361),f344(x4363,x4364,x4362))
% 119.46/119.26 [437]~E(x4371,x4372)+E(f302(x4371,x4373),f302(x4372,x4373))
% 119.46/119.26 [438]~E(x4381,x4382)+E(f302(x4383,x4381),f302(x4383,x4382))
% 119.46/119.26 [439]~E(x4391,x4392)+E(f114(x4391),f114(x4392))
% 119.46/119.26 [440]~E(x4401,x4402)+E(f637(x4401,x4403,x4404),f637(x4402,x4403,x4404))
% 119.46/119.26 [441]~E(x4411,x4412)+E(f637(x4413,x4411,x4414),f637(x4413,x4412,x4414))
% 119.46/119.26 [442]~E(x4421,x4422)+E(f637(x4423,x4424,x4421),f637(x4423,x4424,x4422))
% 119.46/119.26 [443]~E(x4431,x4432)+E(f163(x4431),f163(x4432))
% 119.46/119.26 [444]~E(x4441,x4442)+E(f830(x4441,x4443,x4444),f830(x4442,x4443,x4444))
% 119.46/119.26 [445]~E(x4451,x4452)+E(f830(x4453,x4451,x4454),f830(x4453,x4452,x4454))
% 119.46/119.26 [446]~E(x4461,x4462)+E(f830(x4463,x4464,x4461),f830(x4463,x4464,x4462))
% 119.46/119.26 [447]~E(x4471,x4472)+E(f84(x4471),f84(x4472))
% 119.46/119.26 [448]~E(x4481,x4482)+E(f583(x4481,x4483,x4484),f583(x4482,x4483,x4484))
% 119.46/119.26 [449]~E(x4491,x4492)+E(f583(x4493,x4491,x4494),f583(x4493,x4492,x4494))
% 119.46/119.26 [450]~E(x4501,x4502)+E(f583(x4503,x4504,x4501),f583(x4503,x4504,x4502))
% 119.46/119.26 [451]~E(x4511,x4512)+E(f167(x4511,x4513),f167(x4512,x4513))
% 119.46/119.26 [452]~E(x4521,x4522)+E(f167(x4523,x4521),f167(x4523,x4522))
% 119.46/119.26 [453]~E(x4531,x4532)+E(f217(x4531,x4533),f217(x4532,x4533))
% 119.46/119.26 [454]~E(x4541,x4542)+E(f217(x4543,x4541),f217(x4543,x4542))
% 119.46/119.26 [455]~E(x4551,x4552)+E(f75(x4551,x4553),f75(x4552,x4553))
% 119.46/119.26 [456]~E(x4561,x4562)+E(f75(x4563,x4561),f75(x4563,x4562))
% 119.46/119.26 [457]~E(x4571,x4572)+E(f792(x4571,x4573,x4574,x4575),f792(x4572,x4573,x4574,x4575))
% 119.46/119.26 [458]~E(x4581,x4582)+E(f792(x4583,x4581,x4584,x4585),f792(x4583,x4582,x4584,x4585))
% 119.46/119.26 [459]~E(x4591,x4592)+E(f792(x4593,x4594,x4591,x4595),f792(x4593,x4594,x4592,x4595))
% 119.46/119.26 [460]~E(x4601,x4602)+E(f792(x4603,x4604,x4605,x4601),f792(x4603,x4604,x4605,x4602))
% 119.46/119.26 [461]~E(x4611,x4612)+E(f300(x4611),f300(x4612))
% 119.46/119.26 [462]~E(x4621,x4622)+E(f689(x4621,x4623,x4624,x4625),f689(x4622,x4623,x4624,x4625))
% 119.46/119.26 [463]~E(x4631,x4632)+E(f689(x4633,x4631,x4634,x4635),f689(x4633,x4632,x4634,x4635))
% 119.46/119.26 [464]~E(x4641,x4642)+E(f689(x4643,x4644,x4641,x4645),f689(x4643,x4644,x4642,x4645))
% 119.46/119.26 [465]~E(x4651,x4652)+E(f689(x4653,x4654,x4655,x4651),f689(x4653,x4654,x4655,x4652))
% 119.46/119.26 [466]~E(x4661,x4662)+E(f235(x4661,x4663,x4664),f235(x4662,x4663,x4664))
% 119.46/119.26 [467]~E(x4671,x4672)+E(f235(x4673,x4671,x4674),f235(x4673,x4672,x4674))
% 119.46/119.26 [468]~E(x4681,x4682)+E(f235(x4683,x4684,x4681),f235(x4683,x4684,x4682))
% 119.46/119.26 [469]~E(x4691,x4692)+E(f732(x4691,x4693,x4694),f732(x4692,x4693,x4694))
% 119.46/119.26 [470]~E(x4701,x4702)+E(f732(x4703,x4701,x4704),f732(x4703,x4702,x4704))
% 119.46/119.26 [471]~E(x4711,x4712)+E(f732(x4713,x4714,x4711),f732(x4713,x4714,x4712))
% 119.46/119.26 [472]~E(x4721,x4722)+E(f15(x4721,x4723),f15(x4722,x4723))
% 119.46/119.26 [473]~E(x4731,x4732)+E(f15(x4733,x4731),f15(x4733,x4732))
% 119.46/119.26 [474]~E(x4741,x4742)+E(f17(x4741,x4743),f17(x4742,x4743))
% 119.46/119.26 [475]~E(x4751,x4752)+E(f17(x4753,x4751),f17(x4753,x4752))
% 119.46/119.26 [476]~E(x4761,x4762)+E(f59(x4761,x4763,x4764,x4765,x4766),f59(x4762,x4763,x4764,x4765,x4766))
% 119.46/119.26 [477]~E(x4771,x4772)+E(f59(x4773,x4771,x4774,x4775,x4776),f59(x4773,x4772,x4774,x4775,x4776))
% 119.46/119.26 [478]~E(x4781,x4782)+E(f59(x4783,x4784,x4781,x4785,x4786),f59(x4783,x4784,x4782,x4785,x4786))
% 119.46/119.26 [479]~E(x4791,x4792)+E(f59(x4793,x4794,x4795,x4791,x4796),f59(x4793,x4794,x4795,x4792,x4796))
% 119.46/119.26 [480]~E(x4801,x4802)+E(f59(x4803,x4804,x4805,x4806,x4801),f59(x4803,x4804,x4805,x4806,x4802))
% 119.46/119.26 [481]~E(x4811,x4812)+E(f43(x4811,x4813),f43(x4812,x4813))
% 119.46/119.26 [482]~E(x4821,x4822)+E(f43(x4823,x4821),f43(x4823,x4822))
% 119.46/119.26 [483]~E(x4831,x4832)+E(f269(x4831),f269(x4832))
% 119.46/119.26 [484]~E(x4841,x4842)+E(f16(x4841,x4843),f16(x4842,x4843))
% 119.46/119.26 [485]~E(x4851,x4852)+E(f16(x4853,x4851),f16(x4853,x4852))
% 119.46/119.26 [486]~E(x4861,x4862)+E(f145(x4861,x4863),f145(x4862,x4863))
% 119.46/119.26 [487]~E(x4871,x4872)+E(f145(x4873,x4871),f145(x4873,x4872))
% 119.46/119.26 [488]~E(x4881,x4882)+E(f795(x4881,x4883,x4884,x4885),f795(x4882,x4883,x4884,x4885))
% 119.46/119.26 [489]~E(x4891,x4892)+E(f795(x4893,x4891,x4894,x4895),f795(x4893,x4892,x4894,x4895))
% 119.46/119.26 [490]~E(x4901,x4902)+E(f795(x4903,x4904,x4901,x4905),f795(x4903,x4904,x4902,x4905))
% 119.46/119.26 [491]~E(x4911,x4912)+E(f795(x4913,x4914,x4915,x4911),f795(x4913,x4914,x4915,x4912))
% 119.46/119.26 [492]~E(x4921,x4922)+E(f744(x4921,x4923),f744(x4922,x4923))
% 119.46/119.26 [493]~E(x4931,x4932)+E(f744(x4933,x4931),f744(x4933,x4932))
% 119.46/119.26 [494]~E(x4941,x4942)+E(f369(x4941,x4943,x4944,x4945),f369(x4942,x4943,x4944,x4945))
% 119.46/119.26 [495]~E(x4951,x4952)+E(f369(x4953,x4951,x4954,x4955),f369(x4953,x4952,x4954,x4955))
% 119.46/119.26 [496]~E(x4961,x4962)+E(f369(x4963,x4964,x4961,x4965),f369(x4963,x4964,x4962,x4965))
% 119.46/119.26 [497]~E(x4971,x4972)+E(f369(x4973,x4974,x4975,x4971),f369(x4973,x4974,x4975,x4972))
% 119.46/119.26 [498]~E(x4981,x4982)+E(f846(x4981,x4983,x4984),f846(x4982,x4983,x4984))
% 119.46/119.26 [499]~E(x4991,x4992)+E(f846(x4993,x4991,x4994),f846(x4993,x4992,x4994))
% 119.46/119.26 [500]~E(x5001,x5002)+E(f846(x5003,x5004,x5001),f846(x5003,x5004,x5002))
% 119.46/119.26 [501]~E(x5011,x5012)+E(f641(x5011,x5013,x5014),f641(x5012,x5013,x5014))
% 119.46/119.26 [502]~E(x5021,x5022)+E(f641(x5023,x5021,x5024),f641(x5023,x5022,x5024))
% 119.46/119.26 [503]~E(x5031,x5032)+E(f641(x5033,x5034,x5031),f641(x5033,x5034,x5032))
% 119.46/119.26 [504]~E(x5041,x5042)+E(f476(x5041,x5043,x5044),f476(x5042,x5043,x5044))
% 119.46/119.26 [505]~E(x5051,x5052)+E(f476(x5053,x5051,x5054),f476(x5053,x5052,x5054))
% 119.46/119.26 [506]~E(x5061,x5062)+E(f476(x5063,x5064,x5061),f476(x5063,x5064,x5062))
% 119.46/119.26 [507]~E(x5071,x5072)+E(f231(x5071,x5073,x5074),f231(x5072,x5073,x5074))
% 119.46/119.26 [508]~E(x5081,x5082)+E(f231(x5083,x5081,x5084),f231(x5083,x5082,x5084))
% 119.46/119.26 [509]~E(x5091,x5092)+E(f231(x5093,x5094,x5091),f231(x5093,x5094,x5092))
% 119.46/119.26 [510]~E(x5101,x5102)+E(f31(x5101,x5103),f31(x5102,x5103))
% 119.46/119.26 [511]~E(x5111,x5112)+E(f31(x5113,x5111),f31(x5113,x5112))
% 119.46/119.26 [512]~E(x5121,x5122)+E(f49(x5121),f49(x5122))
% 119.46/119.26 [513]~E(x5131,x5132)+E(f663(x5131,x5133,x5134,x5135),f663(x5132,x5133,x5134,x5135))
% 119.46/119.26 [514]~E(x5141,x5142)+E(f663(x5143,x5141,x5144,x5145),f663(x5143,x5142,x5144,x5145))
% 119.46/119.26 [515]~E(x5151,x5152)+E(f663(x5153,x5154,x5151,x5155),f663(x5153,x5154,x5152,x5155))
% 119.46/119.26 [516]~E(x5161,x5162)+E(f663(x5163,x5164,x5165,x5161),f663(x5163,x5164,x5165,x5162))
% 119.46/119.26 [517]~E(x5171,x5172)+E(f174(x5171),f174(x5172))
% 119.46/119.26 [518]~E(x5181,x5182)+E(f829(x5181,x5183,x5184),f829(x5182,x5183,x5184))
% 119.46/119.26 [519]~E(x5191,x5192)+E(f829(x5193,x5191,x5194),f829(x5193,x5192,x5194))
% 119.46/119.26 [520]~E(x5201,x5202)+E(f829(x5203,x5204,x5201),f829(x5203,x5204,x5202))
% 119.46/119.26 [521]~E(x5211,x5212)+E(f488(x5211,x5213,x5214,x5215,x5216),f488(x5212,x5213,x5214,x5215,x5216))
% 119.46/119.26 [522]~E(x5221,x5222)+E(f488(x5223,x5221,x5224,x5225,x5226),f488(x5223,x5222,x5224,x5225,x5226))
% 119.46/119.26 [523]~E(x5231,x5232)+E(f488(x5233,x5234,x5231,x5235,x5236),f488(x5233,x5234,x5232,x5235,x5236))
% 119.46/119.26 [524]~E(x5241,x5242)+E(f488(x5243,x5244,x5245,x5241,x5246),f488(x5243,x5244,x5245,x5242,x5246))
% 119.46/119.26 [525]~E(x5251,x5252)+E(f488(x5253,x5254,x5255,x5256,x5251),f488(x5253,x5254,x5255,x5256,x5252))
% 119.46/119.26 [526]~E(x5261,x5262)+E(f129(x5261),f129(x5262))
% 119.46/119.26 [527]~E(x5271,x5272)+E(f643(x5271,x5273,x5274,x5275),f643(x5272,x5273,x5274,x5275))
% 119.46/119.26 [528]~E(x5281,x5282)+E(f643(x5283,x5281,x5284,x5285),f643(x5283,x5282,x5284,x5285))
% 119.46/119.26 [529]~E(x5291,x5292)+E(f643(x5293,x5294,x5291,x5295),f643(x5293,x5294,x5292,x5295))
% 119.46/119.26 [530]~E(x5301,x5302)+E(f643(x5303,x5304,x5305,x5301),f643(x5303,x5304,x5305,x5302))
% 119.46/119.26 [531]~E(x5311,x5312)+E(f213(x5311,x5313,x5314,x5315,x5316),f213(x5312,x5313,x5314,x5315,x5316))
% 119.46/119.26 [532]~E(x5321,x5322)+E(f213(x5323,x5321,x5324,x5325,x5326),f213(x5323,x5322,x5324,x5325,x5326))
% 119.46/119.26 [533]~E(x5331,x5332)+E(f213(x5333,x5334,x5331,x5335,x5336),f213(x5333,x5334,x5332,x5335,x5336))
% 119.46/119.26 [534]~E(x5341,x5342)+E(f213(x5343,x5344,x5345,x5341,x5346),f213(x5343,x5344,x5345,x5342,x5346))
% 119.46/119.26 [535]~E(x5351,x5352)+E(f213(x5353,x5354,x5355,x5356,x5351),f213(x5353,x5354,x5355,x5356,x5352))
% 119.46/119.26 [536]~E(x5361,x5362)+E(f498(x5361,x5363,x5364,x5365),f498(x5362,x5363,x5364,x5365))
% 119.46/119.26 [537]~E(x5371,x5372)+E(f498(x5373,x5371,x5374,x5375),f498(x5373,x5372,x5374,x5375))
% 119.46/119.26 [538]~E(x5381,x5382)+E(f498(x5383,x5384,x5381,x5385),f498(x5383,x5384,x5382,x5385))
% 119.46/119.26 [539]~E(x5391,x5392)+E(f498(x5393,x5394,x5395,x5391),f498(x5393,x5394,x5395,x5392))
% 119.46/119.26 [540]~E(x5401,x5402)+E(f115(x5401,x5403),f115(x5402,x5403))
% 119.46/119.26 [541]~E(x5411,x5412)+E(f115(x5413,x5411),f115(x5413,x5412))
% 119.46/119.26 [542]~E(x5421,x5422)+E(f150(x5421,x5423),f150(x5422,x5423))
% 119.46/119.26 [543]~E(x5431,x5432)+E(f150(x5433,x5431),f150(x5433,x5432))
% 119.46/119.26 [544]~E(x5441,x5442)+E(f482(x5441,x5443,x5444),f482(x5442,x5443,x5444))
% 119.46/119.26 [545]~E(x5451,x5452)+E(f482(x5453,x5451,x5454),f482(x5453,x5452,x5454))
% 119.46/119.26 [546]~E(x5461,x5462)+E(f482(x5463,x5464,x5461),f482(x5463,x5464,x5462))
% 119.46/119.26 [547]~E(x5471,x5472)+E(f384(x5471,x5473,x5474,x5475),f384(x5472,x5473,x5474,x5475))
% 119.46/119.26 [548]~E(x5481,x5482)+E(f384(x5483,x5481,x5484,x5485),f384(x5483,x5482,x5484,x5485))
% 119.46/119.26 [549]~E(x5491,x5492)+E(f384(x5493,x5494,x5491,x5495),f384(x5493,x5494,x5492,x5495))
% 119.46/119.26 [550]~E(x5501,x5502)+E(f384(x5503,x5504,x5505,x5501),f384(x5503,x5504,x5505,x5502))
% 119.46/119.26 [551]~E(x5511,x5512)+E(f154(x5511,x5513,x5514),f154(x5512,x5513,x5514))
% 119.46/119.26 [552]~E(x5521,x5522)+E(f154(x5523,x5521,x5524),f154(x5523,x5522,x5524))
% 119.46/119.26 [553]~E(x5531,x5532)+E(f154(x5533,x5534,x5531),f154(x5533,x5534,x5532))
% 119.46/119.26 [554]~E(x5541,x5542)+E(f745(x5541,x5543),f745(x5542,x5543))
% 119.46/119.26 [555]~E(x5551,x5552)+E(f745(x5553,x5551),f745(x5553,x5552))
% 119.46/119.26 [556]~E(x5561,x5562)+E(f798(x5561,x5563,x5564),f798(x5562,x5563,x5564))
% 119.46/119.26 [557]~E(x5571,x5572)+E(f798(x5573,x5571,x5574),f798(x5573,x5572,x5574))
% 119.46/119.26 [558]~E(x5581,x5582)+E(f798(x5583,x5584,x5581),f798(x5583,x5584,x5582))
% 119.46/119.26 [559]~E(x5591,x5592)+E(f266(x5591,x5593,x5594,x5595),f266(x5592,x5593,x5594,x5595))
% 119.46/119.26 [560]~E(x5601,x5602)+E(f266(x5603,x5601,x5604,x5605),f266(x5603,x5602,x5604,x5605))
% 119.46/119.26 [561]~E(x5611,x5612)+E(f266(x5613,x5614,x5611,x5615),f266(x5613,x5614,x5612,x5615))
% 119.46/119.26 [562]~E(x5621,x5622)+E(f266(x5623,x5624,x5625,x5621),f266(x5623,x5624,x5625,x5622))
% 119.46/119.26 [563]~E(x5631,x5632)+E(f58(x5631,x5633,x5634),f58(x5632,x5633,x5634))
% 119.46/119.26 [564]~E(x5641,x5642)+E(f58(x5643,x5641,x5644),f58(x5643,x5642,x5644))
% 119.46/119.26 [565]~E(x5651,x5652)+E(f58(x5653,x5654,x5651),f58(x5653,x5654,x5652))
% 119.46/119.26 [566]~E(x5661,x5662)+E(f87(x5661,x5663),f87(x5662,x5663))
% 119.46/119.26 [567]~E(x5671,x5672)+E(f87(x5673,x5671),f87(x5673,x5672))
% 119.46/119.26 [568]~E(x5681,x5682)+E(f378(x5681,x5683,x5684,x5685,x5686),f378(x5682,x5683,x5684,x5685,x5686))
% 119.46/119.26 [569]~E(x5691,x5692)+E(f378(x5693,x5691,x5694,x5695,x5696),f378(x5693,x5692,x5694,x5695,x5696))
% 119.46/119.26 [570]~E(x5701,x5702)+E(f378(x5703,x5704,x5701,x5705,x5706),f378(x5703,x5704,x5702,x5705,x5706))
% 119.46/119.26 [571]~E(x5711,x5712)+E(f378(x5713,x5714,x5715,x5711,x5716),f378(x5713,x5714,x5715,x5712,x5716))
% 119.46/119.26 [572]~E(x5721,x5722)+E(f378(x5723,x5724,x5725,x5726,x5721),f378(x5723,x5724,x5725,x5726,x5722))
% 119.46/119.26 [573]~E(x5731,x5732)+E(f39(x5731,x5733),f39(x5732,x5733))
% 119.46/119.26 [574]~E(x5741,x5742)+E(f39(x5743,x5741),f39(x5743,x5742))
% 119.46/119.26 [575]~E(x5751,x5752)+E(f13(x5751,x5753,x5754),f13(x5752,x5753,x5754))
% 119.46/119.26 [576]~E(x5761,x5762)+E(f13(x5763,x5761,x5764),f13(x5763,x5762,x5764))
% 119.46/119.26 [577]~E(x5771,x5772)+E(f13(x5773,x5774,x5771),f13(x5773,x5774,x5772))
% 119.46/119.26 [578]~E(x5781,x5782)+E(f645(x5781,x5783,x5784,x5785,x5786,x5787,x5788),f645(x5782,x5783,x5784,x5785,x5786,x5787,x5788))
% 119.46/119.26 [579]~E(x5791,x5792)+E(f645(x5793,x5791,x5794,x5795,x5796,x5797,x5798),f645(x5793,x5792,x5794,x5795,x5796,x5797,x5798))
% 119.46/119.26 [580]~E(x5801,x5802)+E(f645(x5803,x5804,x5801,x5805,x5806,x5807,x5808),f645(x5803,x5804,x5802,x5805,x5806,x5807,x5808))
% 119.46/119.26 [581]~E(x5811,x5812)+E(f645(x5813,x5814,x5815,x5811,x5816,x5817,x5818),f645(x5813,x5814,x5815,x5812,x5816,x5817,x5818))
% 119.46/119.26 [582]~E(x5821,x5822)+E(f645(x5823,x5824,x5825,x5826,x5821,x5827,x5828),f645(x5823,x5824,x5825,x5826,x5822,x5827,x5828))
% 119.46/119.26 [583]~E(x5831,x5832)+E(f645(x5833,x5834,x5835,x5836,x5837,x5831,x5838),f645(x5833,x5834,x5835,x5836,x5837,x5832,x5838))
% 119.46/119.26 [584]~E(x5841,x5842)+E(f645(x5843,x5844,x5845,x5846,x5847,x5848,x5841),f645(x5843,x5844,x5845,x5846,x5847,x5848,x5842))
% 119.46/119.26 [585]~E(x5851,x5852)+E(f210(x5851,x5853,x5854,x5855),f210(x5852,x5853,x5854,x5855))
% 119.46/119.26 [586]~E(x5861,x5862)+E(f210(x5863,x5861,x5864,x5865),f210(x5863,x5862,x5864,x5865))
% 119.46/119.26 [587]~E(x5871,x5872)+E(f210(x5873,x5874,x5871,x5875),f210(x5873,x5874,x5872,x5875))
% 119.46/119.26 [588]~E(x5881,x5882)+E(f210(x5883,x5884,x5885,x5881),f210(x5883,x5884,x5885,x5882))
% 119.46/119.26 [589]~E(x5891,x5892)+E(f436(x5891,x5893,x5894),f436(x5892,x5893,x5894))
% 119.46/119.26 [590]~E(x5901,x5902)+E(f436(x5903,x5901,x5904),f436(x5903,x5902,x5904))
% 119.46/119.26 [591]~E(x5911,x5912)+E(f436(x5913,x5914,x5911),f436(x5913,x5914,x5912))
% 119.46/119.26 [592]~E(x5921,x5922)+E(f601(x5921,x5923,x5924),f601(x5922,x5923,x5924))
% 119.46/119.26 [593]~E(x5931,x5932)+E(f601(x5933,x5931,x5934),f601(x5933,x5932,x5934))
% 119.46/119.26 [594]~E(x5941,x5942)+E(f601(x5943,x5944,x5941),f601(x5943,x5944,x5942))
% 119.46/119.26 [595]~E(x5951,x5952)+E(f462(x5951),f462(x5952))
% 119.46/119.26 [596]~E(x5961,x5962)+E(f847(x5961,x5963,x5964),f847(x5962,x5963,x5964))
% 119.46/119.26 [597]~E(x5971,x5972)+E(f847(x5973,x5971,x5974),f847(x5973,x5972,x5974))
% 119.46/119.26 [598]~E(x5981,x5982)+E(f847(x5983,x5984,x5981),f847(x5983,x5984,x5982))
% 119.46/119.26 [599]~E(x5991,x5992)+E(f682(x5991,x5993,x5994,x5995),f682(x5992,x5993,x5994,x5995))
% 119.46/119.26 [600]~E(x6001,x6002)+E(f682(x6003,x6001,x6004,x6005),f682(x6003,x6002,x6004,x6005))
% 119.46/119.26 [601]~E(x6011,x6012)+E(f682(x6013,x6014,x6011,x6015),f682(x6013,x6014,x6012,x6015))
% 119.46/119.26 [602]~E(x6021,x6022)+E(f682(x6023,x6024,x6025,x6021),f682(x6023,x6024,x6025,x6022))
% 119.46/119.26 [603]~E(x6031,x6032)+E(f348(x6031,x6033,x6034,x6035),f348(x6032,x6033,x6034,x6035))
% 119.46/119.26 [604]~E(x6041,x6042)+E(f348(x6043,x6041,x6044,x6045),f348(x6043,x6042,x6044,x6045))
% 119.46/119.26 [605]~E(x6051,x6052)+E(f348(x6053,x6054,x6051,x6055),f348(x6053,x6054,x6052,x6055))
% 119.46/119.26 [606]~E(x6061,x6062)+E(f348(x6063,x6064,x6065,x6061),f348(x6063,x6064,x6065,x6062))
% 119.46/119.26 [607]~E(x6071,x6072)+E(f226(x6071,x6073),f226(x6072,x6073))
% 119.46/119.26 [608]~E(x6081,x6082)+E(f226(x6083,x6081),f226(x6083,x6082))
% 119.46/119.26 [609]~E(x6091,x6092)+E(f205(x6091,x6093),f205(x6092,x6093))
% 119.46/119.26 [610]~E(x6101,x6102)+E(f205(x6103,x6101),f205(x6103,x6102))
% 119.46/119.26 [611]~E(x6111,x6112)+E(f633(x6111,x6113,x6114,x6115),f633(x6112,x6113,x6114,x6115))
% 119.46/119.26 [612]~E(x6121,x6122)+E(f633(x6123,x6121,x6124,x6125),f633(x6123,x6122,x6124,x6125))
% 119.46/119.26 [613]~E(x6131,x6132)+E(f633(x6133,x6134,x6131,x6135),f633(x6133,x6134,x6132,x6135))
% 119.46/119.26 [614]~E(x6141,x6142)+E(f633(x6143,x6144,x6145,x6141),f633(x6143,x6144,x6145,x6142))
% 119.46/119.26 [615]~E(x6151,x6152)+E(f605(x6151,x6153),f605(x6152,x6153))
% 119.46/119.26 [616]~E(x6161,x6162)+E(f605(x6163,x6161),f605(x6163,x6162))
% 119.46/119.26 [617]~E(x6171,x6172)+E(f252(x6171,x6173),f252(x6172,x6173))
% 119.46/119.26 [618]~E(x6181,x6182)+E(f252(x6183,x6181),f252(x6183,x6182))
% 119.46/119.26 [619]~E(x6191,x6192)+E(f149(x6191,x6193),f149(x6192,x6193))
% 119.46/119.26 [620]~E(x6201,x6202)+E(f149(x6203,x6201),f149(x6203,x6202))
% 119.46/119.26 [621]~E(x6211,x6212)+E(f274(x6211,x6213),f274(x6212,x6213))
% 119.46/119.26 [622]~E(x6221,x6222)+E(f274(x6223,x6221),f274(x6223,x6222))
% 119.46/119.26 [623]~E(x6231,x6232)+E(f865(x6231,x6233),f865(x6232,x6233))
% 119.46/119.26 [624]~E(x6241,x6242)+E(f865(x6243,x6241),f865(x6243,x6242))
% 119.46/119.26 [625]~E(x6251,x6252)+E(f867(x6251,x6253,x6254),f867(x6252,x6253,x6254))
% 119.46/119.26 [626]~E(x6261,x6262)+E(f867(x6263,x6261,x6264),f867(x6263,x6262,x6264))
% 119.46/119.26 [627]~E(x6271,x6272)+E(f867(x6273,x6274,x6271),f867(x6273,x6274,x6272))
% 119.46/119.26 [628]~E(x6281,x6282)+E(f247(x6281,x6283,x6284,x6285),f247(x6282,x6283,x6284,x6285))
% 119.46/119.26 [629]~E(x6291,x6292)+E(f247(x6293,x6291,x6294,x6295),f247(x6293,x6292,x6294,x6295))
% 119.46/119.26 [630]~E(x6301,x6302)+E(f247(x6303,x6304,x6301,x6305),f247(x6303,x6304,x6302,x6305))
% 119.46/119.26 [631]~E(x6311,x6312)+E(f247(x6313,x6314,x6315,x6311),f247(x6313,x6314,x6315,x6312))
% 119.46/119.26 [632]~E(x6321,x6322)+E(f355(x6321,x6323,x6324,x6325,x6326),f355(x6322,x6323,x6324,x6325,x6326))
% 119.46/119.26 [633]~E(x6331,x6332)+E(f355(x6333,x6331,x6334,x6335,x6336),f355(x6333,x6332,x6334,x6335,x6336))
% 119.46/119.26 [634]~E(x6341,x6342)+E(f355(x6343,x6344,x6341,x6345,x6346),f355(x6343,x6344,x6342,x6345,x6346))
% 119.46/119.26 [635]~E(x6351,x6352)+E(f355(x6353,x6354,x6355,x6351,x6356),f355(x6353,x6354,x6355,x6352,x6356))
% 119.46/119.26 [636]~E(x6361,x6362)+E(f355(x6363,x6364,x6365,x6366,x6361),f355(x6363,x6364,x6365,x6366,x6362))
% 119.46/119.26 [637]~E(x6371,x6372)+E(f690(x6371,x6373,x6374,x6375),f690(x6372,x6373,x6374,x6375))
% 119.46/119.26 [638]~E(x6381,x6382)+E(f690(x6383,x6381,x6384,x6385),f690(x6383,x6382,x6384,x6385))
% 119.46/119.26 [639]~E(x6391,x6392)+E(f690(x6393,x6394,x6391,x6395),f690(x6393,x6394,x6392,x6395))
% 119.46/119.26 [640]~E(x6401,x6402)+E(f690(x6403,x6404,x6405,x6401),f690(x6403,x6404,x6405,x6402))
% 119.46/119.26 [641]~E(x6411,x6412)+E(f362(x6411),f362(x6412))
% 119.46/119.26 [642]~E(x6421,x6422)+E(f708(x6421,x6423,x6424),f708(x6422,x6423,x6424))
% 119.46/119.26 [643]~E(x6431,x6432)+E(f708(x6433,x6431,x6434),f708(x6433,x6432,x6434))
% 119.46/119.26 [644]~E(x6441,x6442)+E(f708(x6443,x6444,x6441),f708(x6443,x6444,x6442))
% 119.46/119.26 [645]~E(x6451,x6452)+E(f782(x6451,x6453,x6454),f782(x6452,x6453,x6454))
% 119.46/119.26 [646]~E(x6461,x6462)+E(f782(x6463,x6461,x6464),f782(x6463,x6462,x6464))
% 119.46/119.26 [647]~E(x6471,x6472)+E(f782(x6473,x6474,x6471),f782(x6473,x6474,x6472))
% 119.46/119.26 [648]~E(x6481,x6482)+E(f658(x6481,x6483,x6484,x6485),f658(x6482,x6483,x6484,x6485))
% 119.46/119.26 [649]~E(x6491,x6492)+E(f658(x6493,x6491,x6494,x6495),f658(x6493,x6492,x6494,x6495))
% 119.46/119.26 [650]~E(x6501,x6502)+E(f658(x6503,x6504,x6501,x6505),f658(x6503,x6504,x6502,x6505))
% 119.46/119.26 [651]~E(x6511,x6512)+E(f658(x6513,x6514,x6515,x6511),f658(x6513,x6514,x6515,x6512))
% 119.46/119.26 [652]~E(x6521,x6522)+E(f204(x6521,x6523),f204(x6522,x6523))
% 119.46/119.26 [653]~E(x6531,x6532)+E(f204(x6533,x6531),f204(x6533,x6532))
% 119.46/119.26 [654]~E(x6541,x6542)+E(f805(x6541,x6543,x6544,x6545),f805(x6542,x6543,x6544,x6545))
% 119.46/119.26 [655]~E(x6551,x6552)+E(f805(x6553,x6551,x6554,x6555),f805(x6553,x6552,x6554,x6555))
% 119.46/119.26 [656]~E(x6561,x6562)+E(f805(x6563,x6564,x6561,x6565),f805(x6563,x6564,x6562,x6565))
% 119.46/119.26 [657]~E(x6571,x6572)+E(f805(x6573,x6574,x6575,x6571),f805(x6573,x6574,x6575,x6572))
% 119.46/119.26 [658]~E(x6581,x6582)+E(f514(x6581,x6583,x6584),f514(x6582,x6583,x6584))
% 119.46/119.26 [659]~E(x6591,x6592)+E(f514(x6593,x6591,x6594),f514(x6593,x6592,x6594))
% 119.46/119.26 [660]~E(x6601,x6602)+E(f514(x6603,x6604,x6601),f514(x6603,x6604,x6602))
% 119.46/119.26 [661]~E(x6611,x6612)+E(f123(x6611),f123(x6612))
% 119.46/119.26 [662]~E(x6621,x6622)+E(f576(x6621,x6623,x6624,x6625,x6626,x6627),f576(x6622,x6623,x6624,x6625,x6626,x6627))
% 119.46/119.26 [663]~E(x6631,x6632)+E(f576(x6633,x6631,x6634,x6635,x6636,x6637),f576(x6633,x6632,x6634,x6635,x6636,x6637))
% 119.46/119.26 [664]~E(x6641,x6642)+E(f576(x6643,x6644,x6641,x6645,x6646,x6647),f576(x6643,x6644,x6642,x6645,x6646,x6647))
% 119.46/119.26 [665]~E(x6651,x6652)+E(f576(x6653,x6654,x6655,x6651,x6656,x6657),f576(x6653,x6654,x6655,x6652,x6656,x6657))
% 119.46/119.26 [666]~E(x6661,x6662)+E(f576(x6663,x6664,x6665,x6666,x6661,x6667),f576(x6663,x6664,x6665,x6666,x6662,x6667))
% 119.46/119.26 [667]~E(x6671,x6672)+E(f576(x6673,x6674,x6675,x6676,x6677,x6671),f576(x6673,x6674,x6675,x6676,x6677,x6672))
% 119.46/119.26 [668]~E(x6681,x6682)+E(f21(x6681,x6683,x6684,x6685),f21(x6682,x6683,x6684,x6685))
% 119.46/119.26 [669]~E(x6691,x6692)+E(f21(x6693,x6691,x6694,x6695),f21(x6693,x6692,x6694,x6695))
% 119.46/119.26 [670]~E(x6701,x6702)+E(f21(x6703,x6704,x6701,x6705),f21(x6703,x6704,x6702,x6705))
% 119.46/119.26 [671]~E(x6711,x6712)+E(f21(x6713,x6714,x6715,x6711),f21(x6713,x6714,x6715,x6712))
% 119.46/119.26 [672]~E(x6721,x6722)+E(f816(x6721,x6723,x6724,x6725),f816(x6722,x6723,x6724,x6725))
% 119.46/119.26 [673]~E(x6731,x6732)+E(f816(x6733,x6731,x6734,x6735),f816(x6733,x6732,x6734,x6735))
% 119.46/119.26 [674]~E(x6741,x6742)+E(f816(x6743,x6744,x6741,x6745),f816(x6743,x6744,x6742,x6745))
% 119.46/119.26 [675]~E(x6751,x6752)+E(f816(x6753,x6754,x6755,x6751),f816(x6753,x6754,x6755,x6752))
% 119.46/119.26 [676]~E(x6761,x6762)+E(f603(x6761,x6763,x6764),f603(x6762,x6763,x6764))
% 119.46/119.26 [677]~E(x6771,x6772)+E(f603(x6773,x6771,x6774),f603(x6773,x6772,x6774))
% 119.46/119.26 [678]~E(x6781,x6782)+E(f603(x6783,x6784,x6781),f603(x6783,x6784,x6782))
% 119.46/119.26 [679]~E(x6791,x6792)+E(f52(x6791,x6793,x6794,x6795),f52(x6792,x6793,x6794,x6795))
% 119.46/119.26 [680]~E(x6801,x6802)+E(f52(x6803,x6801,x6804,x6805),f52(x6803,x6802,x6804,x6805))
% 119.46/119.26 [681]~E(x6811,x6812)+E(f52(x6813,x6814,x6811,x6815),f52(x6813,x6814,x6812,x6815))
% 119.46/119.26 [682]~E(x6821,x6822)+E(f52(x6823,x6824,x6825,x6821),f52(x6823,x6824,x6825,x6822))
% 119.46/119.26 [683]~E(x6831,x6832)+E(f806(x6831,x6833),f806(x6832,x6833))
% 119.46/119.26 [684]~E(x6841,x6842)+E(f806(x6843,x6841),f806(x6843,x6842))
% 119.46/119.26 [685]~E(x6851,x6852)+E(f128(x6851,x6853,x6854),f128(x6852,x6853,x6854))
% 119.46/119.26 [686]~E(x6861,x6862)+E(f128(x6863,x6861,x6864),f128(x6863,x6862,x6864))
% 119.46/119.26 [687]~E(x6871,x6872)+E(f128(x6873,x6874,x6871),f128(x6873,x6874,x6872))
% 119.46/119.26 [688]~E(x6881,x6882)+E(f380(x6881,x6883),f380(x6882,x6883))
% 119.46/119.26 [689]~E(x6891,x6892)+E(f380(x6893,x6891),f380(x6893,x6892))
% 119.46/119.26 [690]~E(x6901,x6902)+E(f794(x6901,x6903,x6904,x6905),f794(x6902,x6903,x6904,x6905))
% 119.46/119.26 [691]~E(x6911,x6912)+E(f794(x6913,x6911,x6914,x6915),f794(x6913,x6912,x6914,x6915))
% 119.46/119.26 [692]~E(x6921,x6922)+E(f794(x6923,x6924,x6921,x6925),f794(x6923,x6924,x6922,x6925))
% 119.46/119.26 [693]~E(x6931,x6932)+E(f794(x6933,x6934,x6935,x6931),f794(x6933,x6934,x6935,x6932))
% 119.46/119.26 [694]~E(x6941,x6942)+E(f292(x6941,x6943,x6944),f292(x6942,x6943,x6944))
% 119.46/119.26 [695]~E(x6951,x6952)+E(f292(x6953,x6951,x6954),f292(x6953,x6952,x6954))
% 119.46/119.26 [696]~E(x6961,x6962)+E(f292(x6963,x6964,x6961),f292(x6963,x6964,x6962))
% 119.46/119.26 [697]~E(x6971,x6972)+E(f374(x6971,x6973),f374(x6972,x6973))
% 119.46/119.26 [698]~E(x6981,x6982)+E(f374(x6983,x6981),f374(x6983,x6982))
% 119.46/119.26 [699]~E(x6991,x6992)+E(f513(x6991,x6993),f513(x6992,x6993))
% 119.46/119.26 [700]~E(x7001,x7002)+E(f513(x7003,x7001),f513(x7003,x7002))
% 119.46/119.26 [701]~E(x7011,x7012)+E(f505(x7011,x7013,x7014,x7015,x7016),f505(x7012,x7013,x7014,x7015,x7016))
% 119.46/119.26 [702]~E(x7021,x7022)+E(f505(x7023,x7021,x7024,x7025,x7026),f505(x7023,x7022,x7024,x7025,x7026))
% 119.46/119.26 [703]~E(x7031,x7032)+E(f505(x7033,x7034,x7031,x7035,x7036),f505(x7033,x7034,x7032,x7035,x7036))
% 119.46/119.26 [704]~E(x7041,x7042)+E(f505(x7043,x7044,x7045,x7041,x7046),f505(x7043,x7044,x7045,x7042,x7046))
% 119.46/119.26 [705]~E(x7051,x7052)+E(f505(x7053,x7054,x7055,x7056,x7051),f505(x7053,x7054,x7055,x7056,x7052))
% 119.46/119.26 [706]~E(x7061,x7062)+E(f609(x7061,x7063),f609(x7062,x7063))
% 119.46/119.26 [707]~E(x7071,x7072)+E(f609(x7073,x7071),f609(x7073,x7072))
% 119.46/119.26 [708]~E(x7081,x7082)+E(f208(x7081,x7083),f208(x7082,x7083))
% 119.46/119.26 [709]~E(x7091,x7092)+E(f208(x7093,x7091),f208(x7093,x7092))
% 119.46/119.26 [710]~E(x7101,x7102)+E(f818(x7101),f818(x7102))
% 119.46/119.26 [711]~E(x7111,x7112)+E(f775(x7111,x7113,x7114),f775(x7112,x7113,x7114))
% 119.46/119.26 [712]~E(x7121,x7122)+E(f775(x7123,x7121,x7124),f775(x7123,x7122,x7124))
% 119.46/119.26 [713]~E(x7131,x7132)+E(f775(x7133,x7134,x7131),f775(x7133,x7134,x7132))
% 119.46/119.26 [714]~E(x7141,x7142)+E(f568(x7141),f568(x7142))
% 119.46/119.26 [715]~E(x7151,x7152)+E(f616(x7151,x7153,x7154,x7155,x7156),f616(x7152,x7153,x7154,x7155,x7156))
% 119.46/119.26 [716]~E(x7161,x7162)+E(f616(x7163,x7161,x7164,x7165,x7166),f616(x7163,x7162,x7164,x7165,x7166))
% 119.46/119.26 [717]~E(x7171,x7172)+E(f616(x7173,x7174,x7171,x7175,x7176),f616(x7173,x7174,x7172,x7175,x7176))
% 119.46/119.26 [718]~E(x7181,x7182)+E(f616(x7183,x7184,x7185,x7181,x7186),f616(x7183,x7184,x7185,x7182,x7186))
% 119.46/119.26 [719]~E(x7191,x7192)+E(f616(x7193,x7194,x7195,x7196,x7191),f616(x7193,x7194,x7195,x7196,x7192))
% 119.46/119.26 [720]~E(x7201,x7202)+E(f422(x7201,x7203,x7204,x7205),f422(x7202,x7203,x7204,x7205))
% 119.46/119.26 [721]~E(x7211,x7212)+E(f422(x7213,x7211,x7214,x7215),f422(x7213,x7212,x7214,x7215))
% 119.46/119.26 [722]~E(x7221,x7222)+E(f422(x7223,x7224,x7221,x7225),f422(x7223,x7224,x7222,x7225))
% 119.46/119.26 [723]~E(x7231,x7232)+E(f422(x7233,x7234,x7235,x7231),f422(x7233,x7234,x7235,x7232))
% 119.46/119.26 [724]~E(x7241,x7242)+E(f763(x7241,x7243,x7244,x7245,x7246),f763(x7242,x7243,x7244,x7245,x7246))
% 119.46/119.26 [725]~E(x7251,x7252)+E(f763(x7253,x7251,x7254,x7255,x7256),f763(x7253,x7252,x7254,x7255,x7256))
% 119.46/119.26 [726]~E(x7261,x7262)+E(f763(x7263,x7264,x7261,x7265,x7266),f763(x7263,x7264,x7262,x7265,x7266))
% 119.46/119.26 [727]~E(x7271,x7272)+E(f763(x7273,x7274,x7275,x7271,x7276),f763(x7273,x7274,x7275,x7272,x7276))
% 119.46/119.26 [728]~E(x7281,x7282)+E(f763(x7283,x7284,x7285,x7286,x7281),f763(x7283,x7284,x7285,x7286,x7282))
% 119.46/119.26 [729]~E(x7291,x7292)+E(f636(x7291,x7293,x7294),f636(x7292,x7293,x7294))
% 119.46/119.26 [730]~E(x7301,x7302)+E(f636(x7303,x7301,x7304),f636(x7303,x7302,x7304))
% 119.46/119.26 [731]~E(x7311,x7312)+E(f636(x7313,x7314,x7311),f636(x7313,x7314,x7312))
% 119.46/119.26 [732]~E(x7321,x7322)+E(f445(x7321,x7323,x7324,x7325),f445(x7322,x7323,x7324,x7325))
% 119.46/119.26 [733]~E(x7331,x7332)+E(f445(x7333,x7331,x7334,x7335),f445(x7333,x7332,x7334,x7335))
% 119.46/119.26 [734]~E(x7341,x7342)+E(f445(x7343,x7344,x7341,x7345),f445(x7343,x7344,x7342,x7345))
% 119.46/119.26 [735]~E(x7351,x7352)+E(f445(x7353,x7354,x7355,x7351),f445(x7353,x7354,x7355,x7352))
% 119.46/119.26 [736]~E(x7361,x7362)+E(f12(x7361,x7363),f12(x7362,x7363))
% 119.46/119.26 [737]~E(x7371,x7372)+E(f12(x7373,x7371),f12(x7373,x7372))
% 119.46/119.26 [738]~E(x7381,x7382)+E(f862(x7381,x7383),f862(x7382,x7383))
% 119.46/119.26 [739]~E(x7391,x7392)+E(f862(x7393,x7391),f862(x7393,x7392))
% 119.46/119.26 [740]~E(x7401,x7402)+E(f452(x7401,x7403,x7404),f452(x7402,x7403,x7404))
% 119.46/119.26 [741]~E(x7411,x7412)+E(f452(x7413,x7411,x7414),f452(x7413,x7412,x7414))
% 119.46/119.26 [742]~E(x7421,x7422)+E(f452(x7423,x7424,x7421),f452(x7423,x7424,x7422))
% 119.46/119.26 [743]~E(x7431,x7432)+E(f656(x7431,x7433,x7434),f656(x7432,x7433,x7434))
% 119.46/119.26 [744]~E(x7441,x7442)+E(f656(x7443,x7441,x7444),f656(x7443,x7442,x7444))
% 119.46/119.26 [745]~E(x7451,x7452)+E(f656(x7453,x7454,x7451),f656(x7453,x7454,x7452))
% 119.46/119.26 [746]~E(x7461,x7462)+E(f606(x7461,x7463,x7464),f606(x7462,x7463,x7464))
% 119.46/119.26 [747]~E(x7471,x7472)+E(f606(x7473,x7471,x7474),f606(x7473,x7472,x7474))
% 119.46/119.26 [748]~E(x7481,x7482)+E(f606(x7483,x7484,x7481),f606(x7483,x7484,x7482))
% 119.46/119.26 [749]~E(x7491,x7492)+E(f738(x7491,x7493,x7494,x7495),f738(x7492,x7493,x7494,x7495))
% 119.46/119.26 [750]~E(x7501,x7502)+E(f738(x7503,x7501,x7504,x7505),f738(x7503,x7502,x7504,x7505))
% 119.46/119.26 [751]~E(x7511,x7512)+E(f738(x7513,x7514,x7511,x7515),f738(x7513,x7514,x7512,x7515))
% 119.46/119.26 [752]~E(x7521,x7522)+E(f738(x7523,x7524,x7525,x7521),f738(x7523,x7524,x7525,x7522))
% 119.46/119.26 [753]~E(x7531,x7532)+E(f693(x7531,x7533,x7534,x7535),f693(x7532,x7533,x7534,x7535))
% 119.46/119.26 [754]~E(x7541,x7542)+E(f693(x7543,x7541,x7544,x7545),f693(x7543,x7542,x7544,x7545))
% 119.46/119.26 [755]~E(x7551,x7552)+E(f693(x7553,x7554,x7551,x7555),f693(x7553,x7554,x7552,x7555))
% 119.46/119.26 [756]~E(x7561,x7562)+E(f693(x7563,x7564,x7565,x7561),f693(x7563,x7564,x7565,x7562))
% 119.46/119.26 [757]~E(x7571,x7572)+E(f290(x7571),f290(x7572))
% 119.46/119.26 [758]~E(x7581,x7582)+E(f34(x7581),f34(x7582))
% 119.46/119.26 [759]~E(x7591,x7592)+E(f849(x7591,x7593,x7594),f849(x7592,x7593,x7594))
% 119.46/119.26 [760]~E(x7601,x7602)+E(f849(x7603,x7601,x7604),f849(x7603,x7602,x7604))
% 119.46/119.26 [761]~E(x7611,x7612)+E(f849(x7613,x7614,x7611),f849(x7613,x7614,x7612))
% 119.46/119.26 [762]~E(x7621,x7622)+E(f332(x7621,x7623,x7624,x7625,x7626),f332(x7622,x7623,x7624,x7625,x7626))
% 119.46/119.26 [763]~E(x7631,x7632)+E(f332(x7633,x7631,x7634,x7635,x7636),f332(x7633,x7632,x7634,x7635,x7636))
% 119.46/119.26 [764]~E(x7641,x7642)+E(f332(x7643,x7644,x7641,x7645,x7646),f332(x7643,x7644,x7642,x7645,x7646))
% 119.46/119.26 [765]~E(x7651,x7652)+E(f332(x7653,x7654,x7655,x7651,x7656),f332(x7653,x7654,x7655,x7652,x7656))
% 119.46/119.26 [766]~E(x7661,x7662)+E(f332(x7663,x7664,x7665,x7666,x7661),f332(x7663,x7664,x7665,x7666,x7662))
% 119.46/119.26 [767]~E(x7671,x7672)+E(f747(x7671,x7673,x7674,x7675,x7676,x7677,x7678,x7679),f747(x7672,x7673,x7674,x7675,x7676,x7677,x7678,x7679))
% 119.46/119.26 [768]~E(x7681,x7682)+E(f747(x7683,x7681,x7684,x7685,x7686,x7687,x7688,x7689),f747(x7683,x7682,x7684,x7685,x7686,x7687,x7688,x7689))
% 119.46/119.26 [769]~E(x7691,x7692)+E(f747(x7693,x7694,x7691,x7695,x7696,x7697,x7698,x7699),f747(x7693,x7694,x7692,x7695,x7696,x7697,x7698,x7699))
% 119.46/119.26 [770]~E(x7701,x7702)+E(f747(x7703,x7704,x7705,x7701,x7706,x7707,x7708,x7709),f747(x7703,x7704,x7705,x7702,x7706,x7707,x7708,x7709))
% 119.46/119.26 [771]~E(x7711,x7712)+E(f747(x7713,x7714,x7715,x7716,x7711,x7717,x7718,x7719),f747(x7713,x7714,x7715,x7716,x7712,x7717,x7718,x7719))
% 119.46/119.26 [772]~E(x7721,x7722)+E(f747(x7723,x7724,x7725,x7726,x7727,x7721,x7728,x7729),f747(x7723,x7724,x7725,x7726,x7727,x7722,x7728,x7729))
% 119.46/119.26 [773]~E(x7731,x7732)+E(f747(x7733,x7734,x7735,x7736,x7737,x7738,x7731,x7739),f747(x7733,x7734,x7735,x7736,x7737,x7738,x7732,x7739))
% 119.46/119.26 [774]~E(x7741,x7742)+E(f747(x7743,x7744,x7745,x7746,x7747,x7748,x7749,x7741),f747(x7743,x7744,x7745,x7746,x7747,x7748,x7749,x7742))
% 119.46/119.26 [775]~E(x7751,x7752)+E(f854(x7751,x7753,x7754),f854(x7752,x7753,x7754))
% 119.46/119.26 [776]~E(x7761,x7762)+E(f854(x7763,x7761,x7764),f854(x7763,x7762,x7764))
% 119.46/119.26 [777]~E(x7771,x7772)+E(f854(x7773,x7774,x7771),f854(x7773,x7774,x7772))
% 119.46/119.26 [778]~E(x7781,x7782)+E(f279(x7781,x7783),f279(x7782,x7783))
% 119.46/119.26 [779]~E(x7791,x7792)+E(f279(x7793,x7791),f279(x7793,x7792))
% 119.46/119.26 [780]~E(x7801,x7802)+E(f496(x7801),f496(x7802))
% 119.46/119.26 [781]~E(x7811,x7812)+E(f411(x7811,x7813,x7814,x7815,x7816,x7817,x7818),f411(x7812,x7813,x7814,x7815,x7816,x7817,x7818))
% 119.46/119.26 [782]~E(x7821,x7822)+E(f411(x7823,x7821,x7824,x7825,x7826,x7827,x7828),f411(x7823,x7822,x7824,x7825,x7826,x7827,x7828))
% 119.46/119.26 [783]~E(x7831,x7832)+E(f411(x7833,x7834,x7831,x7835,x7836,x7837,x7838),f411(x7833,x7834,x7832,x7835,x7836,x7837,x7838))
% 119.46/119.26 [784]~E(x7841,x7842)+E(f411(x7843,x7844,x7845,x7841,x7846,x7847,x7848),f411(x7843,x7844,x7845,x7842,x7846,x7847,x7848))
% 119.46/119.26 [785]~E(x7851,x7852)+E(f411(x7853,x7854,x7855,x7856,x7851,x7857,x7858),f411(x7853,x7854,x7855,x7856,x7852,x7857,x7858))
% 119.46/119.26 [786]~E(x7861,x7862)+E(f411(x7863,x7864,x7865,x7866,x7867,x7861,x7868),f411(x7863,x7864,x7865,x7866,x7867,x7862,x7868))
% 119.46/119.26 [787]~E(x7871,x7872)+E(f411(x7873,x7874,x7875,x7876,x7877,x7878,x7871),f411(x7873,x7874,x7875,x7876,x7877,x7878,x7872))
% 119.46/119.26 [788]~E(x7881,x7882)+E(f61(x7881,x7883,x7884),f61(x7882,x7883,x7884))
% 119.46/119.26 [789]~E(x7891,x7892)+E(f61(x7893,x7891,x7894),f61(x7893,x7892,x7894))
% 119.46/119.26 [790]~E(x7901,x7902)+E(f61(x7903,x7904,x7901),f61(x7903,x7904,x7902))
% 119.46/119.26 [791]~E(x7911,x7912)+E(f504(x7911,x7913,x7914,x7915,x7916),f504(x7912,x7913,x7914,x7915,x7916))
% 119.46/119.26 [792]~E(x7921,x7922)+E(f504(x7923,x7921,x7924,x7925,x7926),f504(x7923,x7922,x7924,x7925,x7926))
% 119.46/119.26 [793]~E(x7931,x7932)+E(f504(x7933,x7934,x7931,x7935,x7936),f504(x7933,x7934,x7932,x7935,x7936))
% 119.46/119.26 [794]~E(x7941,x7942)+E(f504(x7943,x7944,x7945,x7941,x7946),f504(x7943,x7944,x7945,x7942,x7946))
% 119.46/119.26 [795]~E(x7951,x7952)+E(f504(x7953,x7954,x7955,x7956,x7951),f504(x7953,x7954,x7955,x7956,x7952))
% 119.46/119.26 [796]~E(x7961,x7962)+E(f116(x7961,x7963,x7964),f116(x7962,x7963,x7964))
% 119.46/119.26 [797]~E(x7971,x7972)+E(f116(x7973,x7971,x7974),f116(x7973,x7972,x7974))
% 119.46/119.26 [798]~E(x7981,x7982)+E(f116(x7983,x7984,x7981),f116(x7983,x7984,x7982))
% 119.46/119.26 [799]~E(x7991,x7992)+E(f742(x7991,x7993,x7994),f742(x7992,x7993,x7994))
% 119.46/119.26 [800]~E(x8001,x8002)+E(f742(x8003,x8001,x8004),f742(x8003,x8002,x8004))
% 119.46/119.26 [801]~E(x8011,x8012)+E(f742(x8013,x8014,x8011),f742(x8013,x8014,x8012))
% 119.46/119.26 [802]~E(x8021,x8022)+E(f812(x8021),f812(x8022))
% 119.46/119.26 [803]~E(x8031,x8032)+E(f412(x8031,x8033,x8034,x8035,x8036,x8037,x8038),f412(x8032,x8033,x8034,x8035,x8036,x8037,x8038))
% 119.46/119.26 [804]~E(x8041,x8042)+E(f412(x8043,x8041,x8044,x8045,x8046,x8047,x8048),f412(x8043,x8042,x8044,x8045,x8046,x8047,x8048))
% 119.46/119.26 [805]~E(x8051,x8052)+E(f412(x8053,x8054,x8051,x8055,x8056,x8057,x8058),f412(x8053,x8054,x8052,x8055,x8056,x8057,x8058))
% 119.46/119.26 [806]~E(x8061,x8062)+E(f412(x8063,x8064,x8065,x8061,x8066,x8067,x8068),f412(x8063,x8064,x8065,x8062,x8066,x8067,x8068))
% 119.46/119.26 [807]~E(x8071,x8072)+E(f412(x8073,x8074,x8075,x8076,x8071,x8077,x8078),f412(x8073,x8074,x8075,x8076,x8072,x8077,x8078))
% 119.46/119.26 [808]~E(x8081,x8082)+E(f412(x8083,x8084,x8085,x8086,x8087,x8081,x8088),f412(x8083,x8084,x8085,x8086,x8087,x8082,x8088))
% 119.46/119.26 [809]~E(x8091,x8092)+E(f412(x8093,x8094,x8095,x8096,x8097,x8098,x8091),f412(x8093,x8094,x8095,x8096,x8097,x8098,x8092))
% 119.46/119.26 [810]~E(x8101,x8102)+E(f698(x8101,x8103),f698(x8102,x8103))
% 119.46/119.26 [811]~E(x8111,x8112)+E(f698(x8113,x8111),f698(x8113,x8112))
% 119.46/119.26 [812]~E(x8121,x8122)+E(f202(x8121),f202(x8122))
% 119.46/119.26 [813]~E(x8131,x8132)+E(f376(x8131,x8133,x8134,x8135),f376(x8132,x8133,x8134,x8135))
% 119.46/119.26 [814]~E(x8141,x8142)+E(f376(x8143,x8141,x8144,x8145),f376(x8143,x8142,x8144,x8145))
% 119.46/119.26 [815]~E(x8151,x8152)+E(f376(x8153,x8154,x8151,x8155),f376(x8153,x8154,x8152,x8155))
% 119.46/119.26 [816]~E(x8161,x8162)+E(f376(x8163,x8164,x8165,x8161),f376(x8163,x8164,x8165,x8162))
% 119.46/119.26 [817]~E(x8171,x8172)+E(f574(x8171,x8173,x8174),f574(x8172,x8173,x8174))
% 119.46/119.26 [818]~E(x8181,x8182)+E(f574(x8183,x8181,x8184),f574(x8183,x8182,x8184))
% 119.46/119.26 [819]~E(x8191,x8192)+E(f574(x8193,x8194,x8191),f574(x8193,x8194,x8192))
% 119.46/119.26 [820]~E(x8201,x8202)+E(f438(x8201,x8203,x8204),f438(x8202,x8203,x8204))
% 119.46/119.26 [821]~E(x8211,x8212)+E(f438(x8213,x8211,x8214),f438(x8213,x8212,x8214))
% 119.46/119.26 [822]~E(x8221,x8222)+E(f438(x8223,x8224,x8221),f438(x8223,x8224,x8222))
% 119.46/119.26 [823]~E(x8231,x8232)+E(f60(x8231,x8233,x8234),f60(x8232,x8233,x8234))
% 119.46/119.26 [824]~E(x8241,x8242)+E(f60(x8243,x8241,x8244),f60(x8243,x8242,x8244))
% 119.46/119.26 [825]~E(x8251,x8252)+E(f60(x8253,x8254,x8251),f60(x8253,x8254,x8252))
% 119.46/119.26 [826]~E(x8261,x8262)+E(f831(x8261,x8263,x8264),f831(x8262,x8263,x8264))
% 119.46/119.26 [827]~E(x8271,x8272)+E(f831(x8273,x8271,x8274),f831(x8273,x8272,x8274))
% 119.46/119.26 [828]~E(x8281,x8282)+E(f831(x8283,x8284,x8281),f831(x8283,x8284,x8282))
% 119.46/119.26 [829]~E(x8291,x8292)+E(f47(x8291,x8293),f47(x8292,x8293))
% 119.46/119.26 [830]~E(x8301,x8302)+E(f47(x8303,x8301),f47(x8303,x8302))
% 119.46/119.26 [831]~E(x8311,x8312)+E(f522(x8311,x8313),f522(x8312,x8313))
% 119.46/119.26 [832]~E(x8321,x8322)+E(f522(x8323,x8321),f522(x8323,x8322))
% 119.46/119.26 [833]~E(x8331,x8332)+E(f50(x8331),f50(x8332))
% 119.46/119.26 [834]~E(x8341,x8342)+E(f237(x8341,x8343,x8344),f237(x8342,x8343,x8344))
% 119.46/119.26 [835]~E(x8351,x8352)+E(f237(x8353,x8351,x8354),f237(x8353,x8352,x8354))
% 119.46/119.26 [836]~E(x8361,x8362)+E(f237(x8363,x8364,x8361),f237(x8363,x8364,x8362))
% 119.46/119.26 [837]~E(x8371,x8372)+E(f774(x8371,x8373,x8374),f774(x8372,x8373,x8374))
% 119.46/119.26 [838]~E(x8381,x8382)+E(f774(x8383,x8381,x8384),f774(x8383,x8382,x8384))
% 119.46/119.26 [839]~E(x8391,x8392)+E(f774(x8393,x8394,x8391),f774(x8393,x8394,x8392))
% 119.46/119.26 [840]~E(x8401,x8402)+E(f182(x8401,x8403),f182(x8402,x8403))
% 119.46/119.26 [841]~E(x8411,x8412)+E(f182(x8413,x8411),f182(x8413,x8412))
% 119.46/119.26 [842]~E(x8421,x8422)+E(f485(x8421,x8423,x8424),f485(x8422,x8423,x8424))
% 119.46/119.26 [843]~E(x8431,x8432)+E(f485(x8433,x8431,x8434),f485(x8433,x8432,x8434))
% 119.46/119.26 [844]~E(x8441,x8442)+E(f485(x8443,x8444,x8441),f485(x8443,x8444,x8442))
% 119.46/119.26 [845]~E(x8451,x8452)+E(f111(x8451,x8453),f111(x8452,x8453))
% 119.46/119.26 [846]~E(x8461,x8462)+E(f111(x8463,x8461),f111(x8463,x8462))
% 119.46/119.26 [847]~E(x8471,x8472)+E(f730(x8471,x8473,x8474),f730(x8472,x8473,x8474))
% 119.46/119.26 [848]~E(x8481,x8482)+E(f730(x8483,x8481,x8484),f730(x8483,x8482,x8484))
% 119.46/119.26 [849]~E(x8491,x8492)+E(f730(x8493,x8494,x8491),f730(x8493,x8494,x8492))
% 119.46/119.26 [850]~E(x8501,x8502)+E(f560(x8501,x8503,x8504,x8505),f560(x8502,x8503,x8504,x8505))
% 119.46/119.26 [851]~E(x8511,x8512)+E(f560(x8513,x8511,x8514,x8515),f560(x8513,x8512,x8514,x8515))
% 119.46/119.26 [852]~E(x8521,x8522)+E(f560(x8523,x8524,x8521,x8525),f560(x8523,x8524,x8522,x8525))
% 119.46/119.26 [853]~E(x8531,x8532)+E(f560(x8533,x8534,x8535,x8531),f560(x8533,x8534,x8535,x8532))
% 119.46/119.26 [854]~E(x8541,x8542)+E(f687(x8541,x8543,x8544,x8545,x8546),f687(x8542,x8543,x8544,x8545,x8546))
% 119.46/119.26 [855]~E(x8551,x8552)+E(f687(x8553,x8551,x8554,x8555,x8556),f687(x8553,x8552,x8554,x8555,x8556))
% 119.46/119.26 [856]~E(x8561,x8562)+E(f687(x8563,x8564,x8561,x8565,x8566),f687(x8563,x8564,x8562,x8565,x8566))
% 119.46/119.26 [857]~E(x8571,x8572)+E(f687(x8573,x8574,x8575,x8571,x8576),f687(x8573,x8574,x8575,x8572,x8576))
% 119.46/119.26 [858]~E(x8581,x8582)+E(f687(x8583,x8584,x8585,x8586,x8581),f687(x8583,x8584,x8585,x8586,x8582))
% 119.46/119.26 [859]~E(x8591,x8592)+E(f118(x8591),f118(x8592))
% 119.46/119.26 [860]~E(x8601,x8602)+E(f620(x8601,x8603,x8604,x8605,x8606),f620(x8602,x8603,x8604,x8605,x8606))
% 119.46/119.26 [861]~E(x8611,x8612)+E(f620(x8613,x8611,x8614,x8615,x8616),f620(x8613,x8612,x8614,x8615,x8616))
% 119.46/119.26 [862]~E(x8621,x8622)+E(f620(x8623,x8624,x8621,x8625,x8626),f620(x8623,x8624,x8622,x8625,x8626))
% 119.46/119.26 [863]~E(x8631,x8632)+E(f620(x8633,x8634,x8635,x8631,x8636),f620(x8633,x8634,x8635,x8632,x8636))
% 119.46/119.26 [864]~E(x8641,x8642)+E(f620(x8643,x8644,x8645,x8646,x8641),f620(x8643,x8644,x8645,x8646,x8642))
% 119.46/119.26 [865]~E(x8651,x8652)+E(f649(x8651,x8653,x8654),f649(x8652,x8653,x8654))
% 119.46/119.26 [866]~E(x8661,x8662)+E(f649(x8663,x8661,x8664),f649(x8663,x8662,x8664))
% 119.46/119.26 [867]~E(x8671,x8672)+E(f649(x8673,x8674,x8671),f649(x8673,x8674,x8672))
% 119.46/119.26 [868]~E(x8681,x8682)+E(f611(x8681,x8683,x8684),f611(x8682,x8683,x8684))
% 119.46/119.26 [869]~E(x8691,x8692)+E(f611(x8693,x8691,x8694),f611(x8693,x8692,x8694))
% 119.46/119.26 [870]~E(x8701,x8702)+E(f611(x8703,x8704,x8701),f611(x8703,x8704,x8702))
% 119.46/119.26 [871]~E(x8711,x8712)+E(f678(x8711,x8713,x8714,x8715),f678(x8712,x8713,x8714,x8715))
% 119.46/119.26 [872]~E(x8721,x8722)+E(f678(x8723,x8721,x8724,x8725),f678(x8723,x8722,x8724,x8725))
% 119.46/119.26 [873]~E(x8731,x8732)+E(f678(x8733,x8734,x8731,x8735),f678(x8733,x8734,x8732,x8735))
% 119.46/119.26 [874]~E(x8741,x8742)+E(f678(x8743,x8744,x8745,x8741),f678(x8743,x8744,x8745,x8742))
% 119.46/119.26 [875]~E(x8751,x8752)+E(f676(x8751,x8753,x8754),f676(x8752,x8753,x8754))
% 119.46/119.26 [876]~E(x8761,x8762)+E(f676(x8763,x8761,x8764),f676(x8763,x8762,x8764))
% 119.46/119.26 [877]~E(x8771,x8772)+E(f676(x8773,x8774,x8771),f676(x8773,x8774,x8772))
% 119.46/119.26 [878]~E(x8781,x8782)+E(f55(x8781,x8783,x8784),f55(x8782,x8783,x8784))
% 119.46/119.26 [879]~E(x8791,x8792)+E(f55(x8793,x8791,x8794),f55(x8793,x8792,x8794))
% 119.46/119.26 [880]~E(x8801,x8802)+E(f55(x8803,x8804,x8801),f55(x8803,x8804,x8802))
% 119.46/119.26 [881]~E(x8811,x8812)+E(f516(x8811,x8813,x8814,x8815,x8816,x8817),f516(x8812,x8813,x8814,x8815,x8816,x8817))
% 119.46/119.26 [882]~E(x8821,x8822)+E(f516(x8823,x8821,x8824,x8825,x8826,x8827),f516(x8823,x8822,x8824,x8825,x8826,x8827))
% 119.46/119.26 [883]~E(x8831,x8832)+E(f516(x8833,x8834,x8831,x8835,x8836,x8837),f516(x8833,x8834,x8832,x8835,x8836,x8837))
% 119.46/119.26 [884]~E(x8841,x8842)+E(f516(x8843,x8844,x8845,x8841,x8846,x8847),f516(x8843,x8844,x8845,x8842,x8846,x8847))
% 119.46/119.26 [885]~E(x8851,x8852)+E(f516(x8853,x8854,x8855,x8856,x8851,x8857),f516(x8853,x8854,x8855,x8856,x8852,x8857))
% 119.46/119.26 [886]~E(x8861,x8862)+E(f516(x8863,x8864,x8865,x8866,x8867,x8861),f516(x8863,x8864,x8865,x8866,x8867,x8862))
% 119.46/119.26 [887]~E(x8871,x8872)+E(f872(x8871,x8873),f872(x8872,x8873))
% 119.46/119.26 [888]~E(x8881,x8882)+E(f872(x8883,x8881),f872(x8883,x8882))
% 119.46/119.26 [889]~E(x8891,x8892)+E(f382(x8891,x8893,x8894,x8895),f382(x8892,x8893,x8894,x8895))
% 119.46/119.26 [890]~E(x8901,x8902)+E(f382(x8903,x8901,x8904,x8905),f382(x8903,x8902,x8904,x8905))
% 119.46/119.26 [891]~E(x8911,x8912)+E(f382(x8913,x8914,x8911,x8915),f382(x8913,x8914,x8912,x8915))
% 119.46/119.26 [892]~E(x8921,x8922)+E(f382(x8923,x8924,x8925,x8921),f382(x8923,x8924,x8925,x8922))
% 119.46/119.26 [893]~E(x8931,x8932)+E(f388(x8931,x8933,x8934),f388(x8932,x8933,x8934))
% 119.46/119.26 [894]~E(x8941,x8942)+E(f388(x8943,x8941,x8944),f388(x8943,x8942,x8944))
% 119.46/119.26 [895]~E(x8951,x8952)+E(f388(x8953,x8954,x8951),f388(x8953,x8954,x8952))
% 119.46/119.26 [896]~E(x8961,x8962)+E(f809(x8961,x8963,x8964,x8965),f809(x8962,x8963,x8964,x8965))
% 119.46/119.26 [897]~E(x8971,x8972)+E(f809(x8973,x8971,x8974,x8975),f809(x8973,x8972,x8974,x8975))
% 119.46/119.26 [898]~E(x8981,x8982)+E(f809(x8983,x8984,x8981,x8985),f809(x8983,x8984,x8982,x8985))
% 119.46/119.26 [899]~E(x8991,x8992)+E(f809(x8993,x8994,x8995,x8991),f809(x8993,x8994,x8995,x8992))
% 119.46/119.26 [900]~E(x9001,x9002)+E(f409(x9001,x9003),f409(x9002,x9003))
% 119.46/119.26 [901]~E(x9011,x9012)+E(f409(x9013,x9011),f409(x9013,x9012))
% 119.46/119.26 [902]~E(x9021,x9022)+E(f813(x9021,x9023),f813(x9022,x9023))
% 119.46/119.26 [903]~E(x9031,x9032)+E(f813(x9033,x9031),f813(x9033,x9032))
% 119.46/119.26 [904]~E(x9041,x9042)+E(f544(x9041,x9043,x9044,x9045,x9046),f544(x9042,x9043,x9044,x9045,x9046))
% 119.46/119.26 [905]~E(x9051,x9052)+E(f544(x9053,x9051,x9054,x9055,x9056),f544(x9053,x9052,x9054,x9055,x9056))
% 119.46/119.26 [906]~E(x9061,x9062)+E(f544(x9063,x9064,x9061,x9065,x9066),f544(x9063,x9064,x9062,x9065,x9066))
% 119.46/119.26 [907]~E(x9071,x9072)+E(f544(x9073,x9074,x9075,x9071,x9076),f544(x9073,x9074,x9075,x9072,x9076))
% 119.46/119.26 [908]~E(x9081,x9082)+E(f544(x9083,x9084,x9085,x9086,x9081),f544(x9083,x9084,x9085,x9086,x9082))
% 119.46/119.26 [909]~E(x9091,x9092)+E(f691(x9091,x9093,x9094,x9095,x9096),f691(x9092,x9093,x9094,x9095,x9096))
% 119.46/119.26 [910]~E(x9101,x9102)+E(f691(x9103,x9101,x9104,x9105,x9106),f691(x9103,x9102,x9104,x9105,x9106))
% 119.46/119.26 [911]~E(x9111,x9112)+E(f691(x9113,x9114,x9111,x9115,x9116),f691(x9113,x9114,x9112,x9115,x9116))
% 119.46/119.26 [912]~E(x9121,x9122)+E(f691(x9123,x9124,x9125,x9121,x9126),f691(x9123,x9124,x9125,x9122,x9126))
% 119.46/119.26 [913]~E(x9131,x9132)+E(f691(x9133,x9134,x9135,x9136,x9131),f691(x9133,x9134,x9135,x9136,x9132))
% 119.46/119.26 [914]~E(x9141,x9142)+E(f570(x9141,x9143),f570(x9142,x9143))
% 119.46/119.26 [915]~E(x9151,x9152)+E(f570(x9153,x9151),f570(x9153,x9152))
% 119.46/119.26 [916]~E(x9161,x9162)+E(f532(x9161,x9163,x9164,x9165,x9166),f532(x9162,x9163,x9164,x9165,x9166))
% 119.46/119.26 [917]~E(x9171,x9172)+E(f532(x9173,x9171,x9174,x9175,x9176),f532(x9173,x9172,x9174,x9175,x9176))
% 119.46/119.26 [918]~E(x9181,x9182)+E(f532(x9183,x9184,x9181,x9185,x9186),f532(x9183,x9184,x9182,x9185,x9186))
% 119.46/119.26 [919]~E(x9191,x9192)+E(f532(x9193,x9194,x9195,x9191,x9196),f532(x9193,x9194,x9195,x9192,x9196))
% 119.46/119.26 [920]~E(x9201,x9202)+E(f532(x9203,x9204,x9205,x9206,x9201),f532(x9203,x9204,x9205,x9206,x9202))
% 119.46/119.26 [921]~E(x9211,x9212)+E(f36(x9211),f36(x9212))
% 119.46/119.26 [922]~E(x9221,x9222)+E(f143(x9221,x9223,x9224),f143(x9222,x9223,x9224))
% 119.46/119.26 [923]~E(x9231,x9232)+E(f143(x9233,x9231,x9234),f143(x9233,x9232,x9234))
% 119.46/119.26 [924]~E(x9241,x9242)+E(f143(x9243,x9244,x9241),f143(x9243,x9244,x9242))
% 119.46/119.26 [925]~E(x9251,x9252)+E(f426(x9251,x9253,x9254,x9255,x9256),f426(x9252,x9253,x9254,x9255,x9256))
% 119.46/119.26 [926]~E(x9261,x9262)+E(f426(x9263,x9261,x9264,x9265,x9266),f426(x9263,x9262,x9264,x9265,x9266))
% 119.46/119.26 [927]~E(x9271,x9272)+E(f426(x9273,x9274,x9271,x9275,x9276),f426(x9273,x9274,x9272,x9275,x9276))
% 119.46/119.26 [928]~E(x9281,x9282)+E(f426(x9283,x9284,x9285,x9281,x9286),f426(x9283,x9284,x9285,x9282,x9286))
% 119.46/119.26 [929]~E(x9291,x9292)+E(f426(x9293,x9294,x9295,x9296,x9291),f426(x9293,x9294,x9295,x9296,x9292))
% 119.46/119.26 [930]~E(x9301,x9302)+E(f117(x9301,x9303),f117(x9302,x9303))
% 119.46/119.26 [931]~E(x9311,x9312)+E(f117(x9313,x9311),f117(x9313,x9312))
% 119.46/119.26 [932]~E(x9321,x9322)+E(f734(x9321,x9323,x9324,x9325,x9326),f734(x9322,x9323,x9324,x9325,x9326))
% 119.46/119.26 [933]~E(x9331,x9332)+E(f734(x9333,x9331,x9334,x9335,x9336),f734(x9333,x9332,x9334,x9335,x9336))
% 119.46/119.26 [934]~E(x9341,x9342)+E(f734(x9343,x9344,x9341,x9345,x9346),f734(x9343,x9344,x9342,x9345,x9346))
% 119.46/119.26 [935]~E(x9351,x9352)+E(f734(x9353,x9354,x9355,x9351,x9356),f734(x9353,x9354,x9355,x9352,x9356))
% 119.46/119.26 [936]~E(x9361,x9362)+E(f734(x9363,x9364,x9365,x9366,x9361),f734(x9363,x9364,x9365,x9366,x9362))
% 119.46/119.26 [937]~E(x9371,x9372)+E(f501(x9371,x9373,x9374,x9375),f501(x9372,x9373,x9374,x9375))
% 119.46/119.26 [938]~E(x9381,x9382)+E(f501(x9383,x9381,x9384,x9385),f501(x9383,x9382,x9384,x9385))
% 119.46/119.26 [939]~E(x9391,x9392)+E(f501(x9393,x9394,x9391,x9395),f501(x9393,x9394,x9392,x9395))
% 119.46/119.26 [940]~E(x9401,x9402)+E(f501(x9403,x9404,x9405,x9401),f501(x9403,x9404,x9405,x9402))
% 119.46/119.26 [941]~E(x9411,x9412)+E(f260(x9411,x9413,x9414),f260(x9412,x9413,x9414))
% 119.46/119.26 [942]~E(x9421,x9422)+E(f260(x9423,x9421,x9424),f260(x9423,x9422,x9424))
% 119.46/119.26 [943]~E(x9431,x9432)+E(f260(x9433,x9434,x9431),f260(x9433,x9434,x9432))
% 119.46/119.26 [944]~E(x9441,x9442)+E(f330(x9441,x9443,x9444,x9445,x9446),f330(x9442,x9443,x9444,x9445,x9446))
% 119.46/119.26 [945]~E(x9451,x9452)+E(f330(x9453,x9451,x9454,x9455,x9456),f330(x9453,x9452,x9454,x9455,x9456))
% 119.46/119.26 [946]~E(x9461,x9462)+E(f330(x9463,x9464,x9461,x9465,x9466),f330(x9463,x9464,x9462,x9465,x9466))
% 119.46/119.26 [947]~E(x9471,x9472)+E(f330(x9473,x9474,x9475,x9471,x9476),f330(x9473,x9474,x9475,x9472,x9476))
% 119.46/119.26 [948]~E(x9481,x9482)+E(f330(x9483,x9484,x9485,x9486,x9481),f330(x9483,x9484,x9485,x9486,x9482))
% 119.46/119.26 [949]~E(x9491,x9492)+E(f664(x9491,x9493,x9494),f664(x9492,x9493,x9494))
% 119.46/119.26 [950]~E(x9501,x9502)+E(f664(x9503,x9501,x9504),f664(x9503,x9502,x9504))
% 119.46/119.26 [951]~E(x9511,x9512)+E(f664(x9513,x9514,x9511),f664(x9513,x9514,x9512))
% 119.46/119.26 [952]~E(x9521,x9522)+E(f819(x9521),f819(x9522))
% 119.46/119.26 [953]~E(x9531,x9532)+E(f575(x9531,x9533,x9534,x9535,x9536,x9537),f575(x9532,x9533,x9534,x9535,x9536,x9537))
% 119.46/119.26 [954]~E(x9541,x9542)+E(f575(x9543,x9541,x9544,x9545,x9546,x9547),f575(x9543,x9542,x9544,x9545,x9546,x9547))
% 119.46/119.26 [955]~E(x9551,x9552)+E(f575(x9553,x9554,x9551,x9555,x9556,x9557),f575(x9553,x9554,x9552,x9555,x9556,x9557))
% 119.46/119.26 [956]~E(x9561,x9562)+E(f575(x9563,x9564,x9565,x9561,x9566,x9567),f575(x9563,x9564,x9565,x9562,x9566,x9567))
% 119.46/119.26 [957]~E(x9571,x9572)+E(f575(x9573,x9574,x9575,x9576,x9571,x9577),f575(x9573,x9574,x9575,x9576,x9572,x9577))
% 119.46/119.26 [958]~E(x9581,x9582)+E(f575(x9583,x9584,x9585,x9586,x9587,x9581),f575(x9583,x9584,x9585,x9586,x9587,x9582))
% 119.46/119.26 [959]~E(x9591,x9592)+E(f793(x9591,x9593,x9594,x9595),f793(x9592,x9593,x9594,x9595))
% 119.46/119.26 [960]~E(x9601,x9602)+E(f793(x9603,x9601,x9604,x9605),f793(x9603,x9602,x9604,x9605))
% 119.46/119.26 [961]~E(x9611,x9612)+E(f793(x9613,x9614,x9611,x9615),f793(x9613,x9614,x9612,x9615))
% 119.46/119.26 [962]~E(x9621,x9622)+E(f793(x9623,x9624,x9625,x9621),f793(x9623,x9624,x9625,x9622))
% 119.46/119.26 [963]~E(x9631,x9632)+E(f580(x9631,x9633,x9634,x9635,x9636,x9637),f580(x9632,x9633,x9634,x9635,x9636,x9637))
% 119.46/119.26 [964]~E(x9641,x9642)+E(f580(x9643,x9641,x9644,x9645,x9646,x9647),f580(x9643,x9642,x9644,x9645,x9646,x9647))
% 119.46/119.26 [965]~E(x9651,x9652)+E(f580(x9653,x9654,x9651,x9655,x9656,x9657),f580(x9653,x9654,x9652,x9655,x9656,x9657))
% 119.46/119.26 [966]~E(x9661,x9662)+E(f580(x9663,x9664,x9665,x9661,x9666,x9667),f580(x9663,x9664,x9665,x9662,x9666,x9667))
% 119.46/119.26 [967]~E(x9671,x9672)+E(f580(x9673,x9674,x9675,x9676,x9671,x9677),f580(x9673,x9674,x9675,x9676,x9672,x9677))
% 119.46/119.26 [968]~E(x9681,x9682)+E(f580(x9683,x9684,x9685,x9686,x9687,x9681),f580(x9683,x9684,x9685,x9686,x9687,x9682))
% 119.46/119.26 [969]~E(x9691,x9692)+E(f657(x9691,x9693,x9694,x9695),f657(x9692,x9693,x9694,x9695))
% 119.46/119.26 [970]~E(x9701,x9702)+E(f657(x9703,x9701,x9704,x9705),f657(x9703,x9702,x9704,x9705))
% 119.46/119.26 [971]~E(x9711,x9712)+E(f657(x9713,x9714,x9711,x9715),f657(x9713,x9714,x9712,x9715))
% 119.46/119.26 [972]~E(x9721,x9722)+E(f657(x9723,x9724,x9725,x9721),f657(x9723,x9724,x9725,x9722))
% 119.46/119.26 [973]~E(x9731,x9732)+E(f464(x9731),f464(x9732))
% 119.46/119.26 [974]~E(x9741,x9742)+E(f642(x9741,x9743,x9744),f642(x9742,x9743,x9744))
% 119.46/119.26 [975]~E(x9751,x9752)+E(f642(x9753,x9751,x9754),f642(x9753,x9752,x9754))
% 119.46/119.26 [976]~E(x9761,x9762)+E(f642(x9763,x9764,x9761),f642(x9763,x9764,x9762))
% 119.46/119.26 [977]~E(x9771,x9772)+E(f752(x9771,x9773,x9774),f752(x9772,x9773,x9774))
% 119.46/119.26 [978]~E(x9781,x9782)+E(f752(x9783,x9781,x9784),f752(x9783,x9782,x9784))
% 119.46/119.26 [979]~E(x9791,x9792)+E(f752(x9793,x9794,x9791),f752(x9793,x9794,x9792))
% 119.46/119.26 [980]~E(x9801,x9802)+E(f737(x9801,x9803,x9804,x9805),f737(x9802,x9803,x9804,x9805))
% 119.46/119.26 [981]~E(x9811,x9812)+E(f737(x9813,x9811,x9814,x9815),f737(x9813,x9812,x9814,x9815))
% 119.46/119.26 [982]~E(x9821,x9822)+E(f737(x9823,x9824,x9821,x9825),f737(x9823,x9824,x9822,x9825))
% 119.46/119.26 [983]~E(x9831,x9832)+E(f737(x9833,x9834,x9835,x9831),f737(x9833,x9834,x9835,x9832))
% 119.46/119.26 [984]~E(x9841,x9842)+E(f856(x9841,x9843,x9844,x9845,x9846,x9847,x9848),f856(x9842,x9843,x9844,x9845,x9846,x9847,x9848))
% 119.46/119.26 [985]~E(x9851,x9852)+E(f856(x9853,x9851,x9854,x9855,x9856,x9857,x9858),f856(x9853,x9852,x9854,x9855,x9856,x9857,x9858))
% 119.46/119.26 [986]~E(x9861,x9862)+E(f856(x9863,x9864,x9861,x9865,x9866,x9867,x9868),f856(x9863,x9864,x9862,x9865,x9866,x9867,x9868))
% 119.46/119.26 [987]~E(x9871,x9872)+E(f856(x9873,x9874,x9875,x9871,x9876,x9877,x9878),f856(x9873,x9874,x9875,x9872,x9876,x9877,x9878))
% 119.46/119.26 [988]~E(x9881,x9882)+E(f856(x9883,x9884,x9885,x9886,x9881,x9887,x9888),f856(x9883,x9884,x9885,x9886,x9882,x9887,x9888))
% 119.46/119.26 [989]~E(x9891,x9892)+E(f856(x9893,x9894,x9895,x9896,x9897,x9891,x9898),f856(x9893,x9894,x9895,x9896,x9897,x9892,x9898))
% 119.46/119.26 [990]~E(x9901,x9902)+E(f856(x9903,x9904,x9905,x9906,x9907,x9908,x9901),f856(x9903,x9904,x9905,x9906,x9907,x9908,x9902))
% 119.46/119.26 [991]~E(x9911,x9912)+E(f70(x9911,x9913,x9914,x9915),f70(x9912,x9913,x9914,x9915))
% 119.46/119.26 [992]~E(x9921,x9922)+E(f70(x9923,x9921,x9924,x9925),f70(x9923,x9922,x9924,x9925))
% 119.46/119.26 [993]~E(x9931,x9932)+E(f70(x9933,x9934,x9931,x9935),f70(x9933,x9934,x9932,x9935))
% 119.46/119.26 [994]~E(x9941,x9942)+E(f70(x9943,x9944,x9945,x9941),f70(x9943,x9944,x9945,x9942))
% 119.46/119.26 [995]~E(x9951,x9952)+E(f581(x9951,x9953,x9954,x9955,x9956,x9957,x9958,x9959),f581(x9952,x9953,x9954,x9955,x9956,x9957,x9958,x9959))
% 119.46/119.26 [996]~E(x9961,x9962)+E(f581(x9963,x9961,x9964,x9965,x9966,x9967,x9968,x9969),f581(x9963,x9962,x9964,x9965,x9966,x9967,x9968,x9969))
% 119.46/119.26 [997]~E(x9971,x9972)+E(f581(x9973,x9974,x9971,x9975,x9976,x9977,x9978,x9979),f581(x9973,x9974,x9972,x9975,x9976,x9977,x9978,x9979))
% 119.46/119.26 [998]~E(x9981,x9982)+E(f581(x9983,x9984,x9985,x9981,x9986,x9987,x9988,x9989),f581(x9983,x9984,x9985,x9982,x9986,x9987,x9988,x9989))
% 119.46/119.26 [999]~E(x9991,x9992)+E(f581(x9993,x9994,x9995,x9996,x9991,x9997,x9998,x9999),f581(x9993,x9994,x9995,x9996,x9992,x9997,x9998,x9999))
% 119.46/119.26 [1000]~E(x10001,x10002)+E(f581(x10003,x10004,x10005,x10006,x10007,x10001,x10008,x10009),f581(x10003,x10004,x10005,x10006,x10007,x10002,x10008,x10009))
% 119.46/119.26 [1001]~E(x10011,x10012)+E(f581(x10013,x10014,x10015,x10016,x10017,x10018,x10011,x10019),f581(x10013,x10014,x10015,x10016,x10017,x10018,x10012,x10019))
% 119.46/119.26 [1002]~E(x10021,x10022)+E(f581(x10023,x10024,x10025,x10026,x10027,x10028,x10029,x10021),f581(x10023,x10024,x10025,x10026,x10027,x10028,x10029,x10022))
% 119.46/119.26 [1003]~E(x10031,x10032)+E(f347(x10031,x10033,x10034,x10035),f347(x10032,x10033,x10034,x10035))
% 119.46/119.26 [1004]~E(x10041,x10042)+E(f347(x10043,x10041,x10044,x10045),f347(x10043,x10042,x10044,x10045))
% 119.46/119.26 [1005]~E(x10051,x10052)+E(f347(x10053,x10054,x10051,x10055),f347(x10053,x10054,x10052,x10055))
% 119.46/119.26 [1006]~E(x10061,x10062)+E(f347(x10063,x10064,x10065,x10061),f347(x10063,x10064,x10065,x10062))
% 119.46/119.26 [1007]~E(x10071,x10072)+E(f602(x10071,x10073,x10074,x10075,x10076),f602(x10072,x10073,x10074,x10075,x10076))
% 119.46/119.26 [1008]~E(x10081,x10082)+E(f602(x10083,x10081,x10084,x10085,x10086),f602(x10083,x10082,x10084,x10085,x10086))
% 119.46/119.26 [1009]~E(x10091,x10092)+E(f602(x10093,x10094,x10091,x10095,x10096),f602(x10093,x10094,x10092,x10095,x10096))
% 119.46/119.26 [1010]~E(x10101,x10102)+E(f602(x10103,x10104,x10105,x10101,x10106),f602(x10103,x10104,x10105,x10102,x10106))
% 119.46/119.26 [1011]~E(x10111,x10112)+E(f602(x10113,x10114,x10115,x10116,x10111),f602(x10113,x10114,x10115,x10116,x10112))
% 119.46/119.26 [1012]~E(x10121,x10122)+E(f206(x10121,x10123),f206(x10122,x10123))
% 119.46/119.26 [1013]~E(x10131,x10132)+E(f206(x10133,x10131),f206(x10133,x10132))
% 119.46/119.26 [1014]~E(x10141,x10142)+E(f326(x10141,x10143,x10144,x10145),f326(x10142,x10143,x10144,x10145))
% 119.46/119.26 [1015]~E(x10151,x10152)+E(f326(x10153,x10151,x10154,x10155),f326(x10153,x10152,x10154,x10155))
% 119.46/119.26 [1016]~E(x10161,x10162)+E(f326(x10163,x10164,x10161,x10165),f326(x10163,x10164,x10162,x10165))
% 119.46/119.26 [1017]~E(x10171,x10172)+E(f326(x10173,x10174,x10175,x10171),f326(x10173,x10174,x10175,x10172))
% 119.46/119.26 [1018]~E(x10181,x10182)+E(f285(x10181,x10183,x10184,x10185),f285(x10182,x10183,x10184,x10185))
% 119.46/119.26 [1019]~E(x10191,x10192)+E(f285(x10193,x10191,x10194,x10195),f285(x10193,x10192,x10194,x10195))
% 119.46/119.26 [1020]~E(x10201,x10202)+E(f285(x10203,x10204,x10201,x10205),f285(x10203,x10204,x10202,x10205))
% 119.46/119.26 [1021]~E(x10211,x10212)+E(f285(x10213,x10214,x10215,x10211),f285(x10213,x10214,x10215,x10212))
% 119.46/119.26 [1022]~E(x10221,x10222)+E(f469(x10221,x10223,x10224,x10225,x10226),f469(x10222,x10223,x10224,x10225,x10226))
% 119.46/119.26 [1023]~E(x10231,x10232)+E(f469(x10233,x10231,x10234,x10235,x10236),f469(x10233,x10232,x10234,x10235,x10236))
% 119.46/119.26 [1024]~E(x10241,x10242)+E(f469(x10243,x10244,x10241,x10245,x10246),f469(x10243,x10244,x10242,x10245,x10246))
% 119.46/119.26 [1025]~E(x10251,x10252)+E(f469(x10253,x10254,x10255,x10251,x10256),f469(x10253,x10254,x10255,x10252,x10256))
% 119.46/119.26 [1026]~E(x10261,x10262)+E(f469(x10263,x10264,x10265,x10266,x10261),f469(x10263,x10264,x10265,x10266,x10262))
% 119.46/119.26 [1027]~E(x10271,x10272)+E(f107(x10271,x10273,x10274),f107(x10272,x10273,x10274))
% 119.46/119.26 [1028]~E(x10281,x10282)+E(f107(x10283,x10281,x10284),f107(x10283,x10282,x10284))
% 119.46/119.26 [1029]~E(x10291,x10292)+E(f107(x10293,x10294,x10291),f107(x10293,x10294,x10292))
% 119.46/119.26 [1030]~E(x10301,x10302)+E(f399(x10301,x10303,x10304),f399(x10302,x10303,x10304))
% 119.46/119.26 [1031]~E(x10311,x10312)+E(f399(x10313,x10311,x10314),f399(x10313,x10312,x10314))
% 119.46/119.26 [1032]~E(x10321,x10322)+E(f399(x10323,x10324,x10321),f399(x10323,x10324,x10322))
% 119.46/119.26 [1033]~E(x10331,x10332)+E(f571(x10331,x10333,x10334,x10335),f571(x10332,x10333,x10334,x10335))
% 119.46/119.26 [1034]~E(x10341,x10342)+E(f571(x10343,x10341,x10344,x10345),f571(x10343,x10342,x10344,x10345))
% 119.46/119.26 [1035]~E(x10351,x10352)+E(f571(x10353,x10354,x10351,x10355),f571(x10353,x10354,x10352,x10355))
% 119.46/119.26 [1036]~E(x10361,x10362)+E(f571(x10363,x10364,x10365,x10361),f571(x10363,x10364,x10365,x10362))
% 119.46/119.26 [1037]~E(x10371,x10372)+E(f650(x10371,x10373,x10374),f650(x10372,x10373,x10374))
% 119.46/119.26 [1038]~E(x10381,x10382)+E(f650(x10383,x10381,x10384),f650(x10383,x10382,x10384))
% 119.46/119.26 [1039]~E(x10391,x10392)+E(f650(x10393,x10394,x10391),f650(x10393,x10394,x10392))
% 119.46/119.26 [1040]~E(x10401,x10402)+E(f67(x10401,x10403),f67(x10402,x10403))
% 119.46/119.26 [1041]~E(x10411,x10412)+E(f67(x10413,x10411),f67(x10413,x10412))
% 119.46/119.26 [1042]~E(x10421,x10422)+E(f471(x10421,x10423,x10424,x10425,x10426),f471(x10422,x10423,x10424,x10425,x10426))
% 119.46/119.26 [1043]~E(x10431,x10432)+E(f471(x10433,x10431,x10434,x10435,x10436),f471(x10433,x10432,x10434,x10435,x10436))
% 119.46/119.26 [1044]~E(x10441,x10442)+E(f471(x10443,x10444,x10441,x10445,x10446),f471(x10443,x10444,x10442,x10445,x10446))
% 119.46/119.26 [1045]~E(x10451,x10452)+E(f471(x10453,x10454,x10455,x10451,x10456),f471(x10453,x10454,x10455,x10452,x10456))
% 119.46/119.26 [1046]~E(x10461,x10462)+E(f471(x10463,x10464,x10465,x10466,x10461),f471(x10463,x10464,x10465,x10466,x10462))
% 119.46/119.26 [1047]~E(x10471,x10472)+E(f873(x10471,x10473),f873(x10472,x10473))
% 119.46/119.26 [1048]~E(x10481,x10482)+E(f873(x10483,x10481),f873(x10483,x10482))
% 119.46/119.26 [1049]~E(x10491,x10492)+E(f714(x10491,x10493,x10494,x10495,x10496),f714(x10492,x10493,x10494,x10495,x10496))
% 119.46/119.26 [1050]~E(x10501,x10502)+E(f714(x10503,x10501,x10504,x10505,x10506),f714(x10503,x10502,x10504,x10505,x10506))
% 119.46/119.26 [1051]~E(x10511,x10512)+E(f714(x10513,x10514,x10511,x10515,x10516),f714(x10513,x10514,x10512,x10515,x10516))
% 119.46/119.26 [1052]~E(x10521,x10522)+E(f714(x10523,x10524,x10525,x10521,x10526),f714(x10523,x10524,x10525,x10522,x10526))
% 119.46/119.26 [1053]~E(x10531,x10532)+E(f714(x10533,x10534,x10535,x10536,x10531),f714(x10533,x10534,x10535,x10536,x10532))
% 119.46/119.26 [1054]~E(x10541,x10542)+E(f241(x10541,x10543,x10544,x10545,x10546),f241(x10542,x10543,x10544,x10545,x10546))
% 119.46/119.26 [1055]~E(x10551,x10552)+E(f241(x10553,x10551,x10554,x10555,x10556),f241(x10553,x10552,x10554,x10555,x10556))
% 119.46/119.26 [1056]~E(x10561,x10562)+E(f241(x10563,x10564,x10561,x10565,x10566),f241(x10563,x10564,x10562,x10565,x10566))
% 119.46/119.26 [1057]~E(x10571,x10572)+E(f241(x10573,x10574,x10575,x10571,x10576),f241(x10573,x10574,x10575,x10572,x10576))
% 119.46/119.26 [1058]~E(x10581,x10582)+E(f241(x10583,x10584,x10585,x10586,x10581),f241(x10583,x10584,x10585,x10586,x10582))
% 119.46/119.26 [1059]~E(x10591,x10592)+E(f540(x10591,x10593,x10594,x10595),f540(x10592,x10593,x10594,x10595))
% 119.46/119.26 [1060]~E(x10601,x10602)+E(f540(x10603,x10601,x10604,x10605),f540(x10603,x10602,x10604,x10605))
% 119.46/119.26 [1061]~E(x10611,x10612)+E(f540(x10613,x10614,x10611,x10615),f540(x10613,x10614,x10612,x10615))
% 119.46/119.26 [1062]~E(x10621,x10622)+E(f540(x10623,x10624,x10625,x10621),f540(x10623,x10624,x10625,x10622))
% 119.46/119.26 [1063]~E(x10631,x10632)+E(f473(x10631,x10633,x10634,x10635),f473(x10632,x10633,x10634,x10635))
% 119.46/119.26 [1064]~E(x10641,x10642)+E(f473(x10643,x10641,x10644,x10645),f473(x10643,x10642,x10644,x10645))
% 119.46/119.26 [1065]~E(x10651,x10652)+E(f473(x10653,x10654,x10651,x10655),f473(x10653,x10654,x10652,x10655))
% 119.46/119.26 [1066]~E(x10661,x10662)+E(f473(x10663,x10664,x10665,x10661),f473(x10663,x10664,x10665,x10662))
% 119.46/119.26 [1067]~E(x10671,x10672)+E(f450(x10671),f450(x10672))
% 119.46/119.26 [1068]~E(x10681,x10682)+E(f189(x10681,x10683),f189(x10682,x10683))
% 119.46/119.26 [1069]~E(x10691,x10692)+E(f189(x10693,x10691),f189(x10693,x10692))
% 119.46/119.26 [1070]~E(x10701,x10702)+E(f563(x10701,x10703,x10704,x10705),f563(x10702,x10703,x10704,x10705))
% 119.46/119.26 [1071]~E(x10711,x10712)+E(f563(x10713,x10711,x10714,x10715),f563(x10713,x10712,x10714,x10715))
% 119.46/119.26 [1072]~E(x10721,x10722)+E(f563(x10723,x10724,x10721,x10725),f563(x10723,x10724,x10722,x10725))
% 119.46/119.26 [1073]~E(x10731,x10732)+E(f563(x10733,x10734,x10735,x10731),f563(x10733,x10734,x10735,x10732))
% 119.46/119.26 [1074]~E(x10741,x10742)+E(f502(x10741,x10743,x10744,x10745,x10746),f502(x10742,x10743,x10744,x10745,x10746))
% 119.46/119.27 [1075]~E(x10751,x10752)+E(f502(x10753,x10751,x10754,x10755,x10756),f502(x10753,x10752,x10754,x10755,x10756))
% 119.46/119.27 [1076]~E(x10761,x10762)+E(f502(x10763,x10764,x10761,x10765,x10766),f502(x10763,x10764,x10762,x10765,x10766))
% 119.46/119.27 [1077]~E(x10771,x10772)+E(f502(x10773,x10774,x10775,x10771,x10776),f502(x10773,x10774,x10775,x10772,x10776))
% 119.46/119.27 [1078]~E(x10781,x10782)+E(f502(x10783,x10784,x10785,x10786,x10781),f502(x10783,x10784,x10785,x10786,x10782))
% 119.46/119.27 [1079]~E(x10791,x10792)+E(f151(x10791,x10793,x10794,x10795),f151(x10792,x10793,x10794,x10795))
% 119.46/119.27 [1080]~E(x10801,x10802)+E(f151(x10803,x10801,x10804,x10805),f151(x10803,x10802,x10804,x10805))
% 119.46/119.27 [1081]~E(x10811,x10812)+E(f151(x10813,x10814,x10811,x10815),f151(x10813,x10814,x10812,x10815))
% 119.46/119.27 [1082]~E(x10821,x10822)+E(f151(x10823,x10824,x10825,x10821),f151(x10823,x10824,x10825,x10822))
% 119.46/119.27 [1083]~E(x10831,x10832)+E(f81(x10831),f81(x10832))
% 119.46/119.27 [1084]~E(x10841,x10842)+E(f345(x10841,x10843,x10844,x10845,x10846),f345(x10842,x10843,x10844,x10845,x10846))
% 119.46/119.27 [1085]~E(x10851,x10852)+E(f345(x10853,x10851,x10854,x10855,x10856),f345(x10853,x10852,x10854,x10855,x10856))
% 119.46/119.27 [1086]~E(x10861,x10862)+E(f345(x10863,x10864,x10861,x10865,x10866),f345(x10863,x10864,x10862,x10865,x10866))
% 119.46/119.27 [1087]~E(x10871,x10872)+E(f345(x10873,x10874,x10875,x10871,x10876),f345(x10873,x10874,x10875,x10872,x10876))
% 119.46/119.27 [1088]~E(x10881,x10882)+E(f345(x10883,x10884,x10885,x10886,x10881),f345(x10883,x10884,x10885,x10886,x10882))
% 119.46/119.27 [1089]~E(x10891,x10892)+E(f299(x10891,x10893,x10894,x10895),f299(x10892,x10893,x10894,x10895))
% 119.46/119.27 [1090]~E(x10901,x10902)+E(f299(x10903,x10901,x10904,x10905),f299(x10903,x10902,x10904,x10905))
% 119.46/119.27 [1091]~E(x10911,x10912)+E(f299(x10913,x10914,x10911,x10915),f299(x10913,x10914,x10912,x10915))
% 119.46/119.27 [1092]~E(x10921,x10922)+E(f299(x10923,x10924,x10925,x10921),f299(x10923,x10924,x10925,x10922))
% 119.46/119.27 [1093]~E(x10931,x10932)+E(f625(x10931,x10933,x10934,x10935,x10936),f625(x10932,x10933,x10934,x10935,x10936))
% 119.46/119.27 [1094]~E(x10941,x10942)+E(f625(x10943,x10941,x10944,x10945,x10946),f625(x10943,x10942,x10944,x10945,x10946))
% 119.46/119.27 [1095]~E(x10951,x10952)+E(f625(x10953,x10954,x10951,x10955,x10956),f625(x10953,x10954,x10952,x10955,x10956))
% 119.46/119.27 [1096]~E(x10961,x10962)+E(f625(x10963,x10964,x10965,x10961,x10966),f625(x10963,x10964,x10965,x10962,x10966))
% 119.46/119.27 [1097]~E(x10971,x10972)+E(f625(x10973,x10974,x10975,x10976,x10971),f625(x10973,x10974,x10975,x10976,x10972))
% 119.46/119.27 [1098]~E(x10981,x10982)+E(f419(x10981),f419(x10982))
% 119.46/119.27 [1099]~E(x10991,x10992)+E(f509(x10991,x10993,x10994),f509(x10992,x10993,x10994))
% 119.46/119.27 [1100]~E(x11001,x11002)+E(f509(x11003,x11001,x11004),f509(x11003,x11002,x11004))
% 119.46/119.27 [1101]~E(x11011,x11012)+E(f509(x11013,x11014,x11011),f509(x11013,x11014,x11012))
% 119.46/119.27 [1102]~E(x11021,x11022)+E(f243(x11021,x11023,x11024,x11025),f243(x11022,x11023,x11024,x11025))
% 119.46/119.27 [1103]~E(x11031,x11032)+E(f243(x11033,x11031,x11034,x11035),f243(x11033,x11032,x11034,x11035))
% 119.46/119.27 [1104]~E(x11041,x11042)+E(f243(x11043,x11044,x11041,x11045),f243(x11043,x11044,x11042,x11045))
% 119.46/119.27 [1105]~E(x11051,x11052)+E(f243(x11053,x11054,x11055,x11051),f243(x11053,x11054,x11055,x11052))
% 119.46/119.27 [1106]~E(x11061,x11062)+E(f869(x11061,x11063),f869(x11062,x11063))
% 119.46/119.27 [1107]~E(x11071,x11072)+E(f869(x11073,x11071),f869(x11073,x11072))
% 119.46/119.27 [1108]~E(x11081,x11082)+E(f283(x11081,x11083,x11084,x11085,x11086),f283(x11082,x11083,x11084,x11085,x11086))
% 119.46/119.27 [1109]~E(x11091,x11092)+E(f283(x11093,x11091,x11094,x11095,x11096),f283(x11093,x11092,x11094,x11095,x11096))
% 119.46/119.27 [1110]~E(x11101,x11102)+E(f283(x11103,x11104,x11101,x11105,x11106),f283(x11103,x11104,x11102,x11105,x11106))
% 119.46/119.27 [1111]~E(x11111,x11112)+E(f283(x11113,x11114,x11115,x11111,x11116),f283(x11113,x11114,x11115,x11112,x11116))
% 119.46/119.27 [1112]~E(x11121,x11122)+E(f283(x11123,x11124,x11125,x11126,x11121),f283(x11123,x11124,x11125,x11126,x11122))
% 119.46/119.27 [1113]~E(x11131,x11132)+E(f254(x11131,x11133),f254(x11132,x11133))
% 119.46/119.27 [1114]~E(x11141,x11142)+E(f254(x11143,x11141),f254(x11143,x11142))
% 119.46/119.27 [1115]~E(x11151,x11152)+E(f486(x11151,x11153,x11154,x11155),f486(x11152,x11153,x11154,x11155))
% 119.46/119.27 [1116]~E(x11161,x11162)+E(f486(x11163,x11161,x11164,x11165),f486(x11163,x11162,x11164,x11165))
% 119.46/119.27 [1117]~E(x11171,x11172)+E(f486(x11173,x11174,x11171,x11175),f486(x11173,x11174,x11172,x11175))
% 119.46/119.27 [1118]~E(x11181,x11182)+E(f486(x11183,x11184,x11185,x11181),f486(x11183,x11184,x11185,x11182))
% 119.46/119.27 [1119]~E(x11191,x11192)+E(f566(x11191,x11193),f566(x11192,x11193))
% 119.46/119.27 [1120]~E(x11201,x11202)+E(f566(x11203,x11201),f566(x11203,x11202))
% 119.46/119.27 [1121]~E(x11211,x11212)+E(f835(x11211,x11213,x11214),f835(x11212,x11213,x11214))
% 119.46/119.27 [1122]~E(x11221,x11222)+E(f835(x11223,x11221,x11224),f835(x11223,x11222,x11224))
% 119.46/119.27 [1123]~E(x11231,x11232)+E(f835(x11233,x11234,x11231),f835(x11233,x11234,x11232))
% 119.46/119.27 [1124]~E(x11241,x11242)+E(f338(x11241,x11243),f338(x11242,x11243))
% 119.46/119.27 [1125]~E(x11251,x11252)+E(f338(x11253,x11251),f338(x11253,x11252))
% 119.46/119.27 [1126]~E(x11261,x11262)+E(f655(x11261,x11263,x11264,x11265,x11266),f655(x11262,x11263,x11264,x11265,x11266))
% 119.46/119.27 [1127]~E(x11271,x11272)+E(f655(x11273,x11271,x11274,x11275,x11276),f655(x11273,x11272,x11274,x11275,x11276))
% 119.46/119.27 [1128]~E(x11281,x11282)+E(f655(x11283,x11284,x11281,x11285,x11286),f655(x11283,x11284,x11282,x11285,x11286))
% 119.46/119.27 [1129]~E(x11291,x11292)+E(f655(x11293,x11294,x11295,x11291,x11296),f655(x11293,x11294,x11295,x11292,x11296))
% 119.46/119.27 [1130]~E(x11301,x11302)+E(f655(x11303,x11304,x11305,x11306,x11301),f655(x11303,x11304,x11305,x11306,x11302))
% 119.46/119.27 [1131]~E(x11311,x11312)+E(f834(x11311,x11313,x11314),f834(x11312,x11313,x11314))
% 119.46/119.27 [1132]~E(x11321,x11322)+E(f834(x11323,x11321,x11324),f834(x11323,x11322,x11324))
% 119.46/119.27 [1133]~E(x11331,x11332)+E(f834(x11333,x11334,x11331),f834(x11333,x11334,x11332))
% 119.46/119.27 [1134]~E(x11341,x11342)+E(f424(x11341,x11343,x11344),f424(x11342,x11343,x11344))
% 119.46/119.27 [1135]~E(x11351,x11352)+E(f424(x11353,x11351,x11354),f424(x11353,x11352,x11354))
% 119.46/119.27 [1136]~E(x11361,x11362)+E(f424(x11363,x11364,x11361),f424(x11363,x11364,x11362))
% 119.46/119.27 [1137]~E(x11371,x11372)+E(f351(x11371,x11373,x11374,x11375),f351(x11372,x11373,x11374,x11375))
% 119.46/119.27 [1138]~E(x11381,x11382)+E(f351(x11383,x11381,x11384,x11385),f351(x11383,x11382,x11384,x11385))
% 119.46/119.27 [1139]~E(x11391,x11392)+E(f351(x11393,x11394,x11391,x11395),f351(x11393,x11394,x11392,x11395))
% 119.46/119.27 [1140]~E(x11401,x11402)+E(f351(x11403,x11404,x11405,x11401),f351(x11403,x11404,x11405,x11402))
% 119.46/119.27 [1141]~E(x11411,x11412)+E(f638(x11411,x11413,x11414),f638(x11412,x11413,x11414))
% 119.46/119.27 [1142]~E(x11421,x11422)+E(f638(x11423,x11421,x11424),f638(x11423,x11422,x11424))
% 119.46/119.27 [1143]~E(x11431,x11432)+E(f638(x11433,x11434,x11431),f638(x11433,x11434,x11432))
% 119.46/119.27 [1144]~E(x11441,x11442)+E(f627(x11441,x11443,x11444,x11445,x11446,x11447,x11448),f627(x11442,x11443,x11444,x11445,x11446,x11447,x11448))
% 119.46/119.27 [1145]~E(x11451,x11452)+E(f627(x11453,x11451,x11454,x11455,x11456,x11457,x11458),f627(x11453,x11452,x11454,x11455,x11456,x11457,x11458))
% 119.46/119.27 [1146]~E(x11461,x11462)+E(f627(x11463,x11464,x11461,x11465,x11466,x11467,x11468),f627(x11463,x11464,x11462,x11465,x11466,x11467,x11468))
% 119.46/119.27 [1147]~E(x11471,x11472)+E(f627(x11473,x11474,x11475,x11471,x11476,x11477,x11478),f627(x11473,x11474,x11475,x11472,x11476,x11477,x11478))
% 119.46/119.27 [1148]~E(x11481,x11482)+E(f627(x11483,x11484,x11485,x11486,x11481,x11487,x11488),f627(x11483,x11484,x11485,x11486,x11482,x11487,x11488))
% 119.46/119.27 [1149]~E(x11491,x11492)+E(f627(x11493,x11494,x11495,x11496,x11497,x11491,x11498),f627(x11493,x11494,x11495,x11496,x11497,x11492,x11498))
% 119.46/119.27 [1150]~E(x11501,x11502)+E(f627(x11503,x11504,x11505,x11506,x11507,x11508,x11501),f627(x11503,x11504,x11505,x11506,x11507,x11508,x11502))
% 119.46/119.27 [1151]~E(x11511,x11512)+E(f861(x11511,x11513),f861(x11512,x11513))
% 119.46/119.27 [1152]~E(x11521,x11522)+E(f861(x11523,x11521),f861(x11523,x11522))
% 119.46/119.27 [1153]~E(x11531,x11532)+E(f136(x11531,x11533,x11534),f136(x11532,x11533,x11534))
% 119.46/119.27 [1154]~E(x11541,x11542)+E(f136(x11543,x11541,x11544),f136(x11543,x11542,x11544))
% 119.46/119.27 [1155]~E(x11551,x11552)+E(f136(x11553,x11554,x11551),f136(x11553,x11554,x11552))
% 119.46/119.27 [1156]~E(x11561,x11562)+E(f595(x11561,x11563,x11564,x11565,x11566,x11567),f595(x11562,x11563,x11564,x11565,x11566,x11567))
% 119.46/119.27 [1157]~E(x11571,x11572)+E(f595(x11573,x11571,x11574,x11575,x11576,x11577),f595(x11573,x11572,x11574,x11575,x11576,x11577))
% 119.46/119.27 [1158]~E(x11581,x11582)+E(f595(x11583,x11584,x11581,x11585,x11586,x11587),f595(x11583,x11584,x11582,x11585,x11586,x11587))
% 119.46/119.27 [1159]~E(x11591,x11592)+E(f595(x11593,x11594,x11595,x11591,x11596,x11597),f595(x11593,x11594,x11595,x11592,x11596,x11597))
% 119.46/119.27 [1160]~E(x11601,x11602)+E(f595(x11603,x11604,x11605,x11606,x11601,x11607),f595(x11603,x11604,x11605,x11606,x11602,x11607))
% 119.46/119.27 [1161]~E(x11611,x11612)+E(f595(x11613,x11614,x11615,x11616,x11617,x11611),f595(x11613,x11614,x11615,x11616,x11617,x11612))
% 119.46/119.27 [1162]~E(x11621,x11622)+E(f524(x11621,x11623,x11624),f524(x11622,x11623,x11624))
% 119.46/119.27 [1163]~E(x11631,x11632)+E(f524(x11633,x11631,x11634),f524(x11633,x11632,x11634))
% 119.46/119.27 [1164]~E(x11641,x11642)+E(f524(x11643,x11644,x11641),f524(x11643,x11644,x11642))
% 119.46/119.27 [1165]~E(x11651,x11652)+E(f352(x11651,x11653,x11654,x11655),f352(x11652,x11653,x11654,x11655))
% 119.46/119.27 [1166]~E(x11661,x11662)+E(f352(x11663,x11661,x11664,x11665),f352(x11663,x11662,x11664,x11665))
% 119.46/119.27 [1167]~E(x11671,x11672)+E(f352(x11673,x11674,x11671,x11675),f352(x11673,x11674,x11672,x11675))
% 119.46/119.27 [1168]~E(x11681,x11682)+E(f352(x11683,x11684,x11685,x11681),f352(x11683,x11684,x11685,x11682))
% 119.46/119.27 [1169]~E(x11691,x11692)+E(f635(x11691,x11693,x11694),f635(x11692,x11693,x11694))
% 119.46/119.27 [1170]~E(x11701,x11702)+E(f635(x11703,x11701,x11704),f635(x11703,x11702,x11704))
% 119.46/119.27 [1171]~E(x11711,x11712)+E(f635(x11713,x11714,x11711),f635(x11713,x11714,x11712))
% 119.46/119.27 [1172]~E(x11721,x11722)+E(f530(x11721,x11723,x11724),f530(x11722,x11723,x11724))
% 119.46/119.27 [1173]~E(x11731,x11732)+E(f530(x11733,x11731,x11734),f530(x11733,x11732,x11734))
% 119.46/119.27 [1174]~E(x11741,x11742)+E(f530(x11743,x11744,x11741),f530(x11743,x11744,x11742))
% 119.46/119.27 [1175]~E(x11751,x11752)+E(f339(x11751,x11753,x11754),f339(x11752,x11753,x11754))
% 119.46/119.27 [1176]~E(x11761,x11762)+E(f339(x11763,x11761,x11764),f339(x11763,x11762,x11764))
% 119.46/119.27 [1177]~E(x11771,x11772)+E(f339(x11773,x11774,x11771),f339(x11773,x11774,x11772))
% 119.46/119.27 [1178]~E(x11781,x11782)+E(f366(x11781,x11783,x11784),f366(x11782,x11783,x11784))
% 119.46/119.27 [1179]~E(x11791,x11792)+E(f366(x11793,x11791,x11794),f366(x11793,x11792,x11794))
% 119.46/119.27 [1180]~E(x11801,x11802)+E(f366(x11803,x11804,x11801),f366(x11803,x11804,x11802))
% 119.46/119.27 [1181]~E(x11811,x11812)+E(f161(x11811,x11813,x11814),f161(x11812,x11813,x11814))
% 119.46/119.27 [1182]~E(x11821,x11822)+E(f161(x11823,x11821,x11824),f161(x11823,x11822,x11824))
% 119.46/119.27 [1183]~E(x11831,x11832)+E(f161(x11833,x11834,x11831),f161(x11833,x11834,x11832))
% 119.46/119.27 [1184]~E(x11841,x11842)+E(f187(x11841,x11843,x11844,x11845),f187(x11842,x11843,x11844,x11845))
% 119.46/119.27 [1185]~E(x11851,x11852)+E(f187(x11853,x11851,x11854,x11855),f187(x11853,x11852,x11854,x11855))
% 119.46/119.27 [1186]~E(x11861,x11862)+E(f187(x11863,x11864,x11861,x11865),f187(x11863,x11864,x11862,x11865))
% 119.46/119.27 [1187]~E(x11871,x11872)+E(f187(x11873,x11874,x11875,x11871),f187(x11873,x11874,x11875,x11872))
% 119.46/119.27 [1188]~E(x11881,x11882)+E(f844(x11881,x11883,x11884),f844(x11882,x11883,x11884))
% 119.46/119.27 [1189]~E(x11891,x11892)+E(f844(x11893,x11891,x11894),f844(x11893,x11892,x11894))
% 119.46/119.27 [1190]~E(x11901,x11902)+E(f844(x11903,x11904,x11901),f844(x11903,x11904,x11902))
% 119.46/119.27 [1191]~E(x11911,x11912)+E(f337(x11911,x11913,x11914,x11915,x11916,x11917,x11918,x11919),f337(x11912,x11913,x11914,x11915,x11916,x11917,x11918,x11919))
% 119.46/119.27 [1192]~E(x11921,x11922)+E(f337(x11923,x11921,x11924,x11925,x11926,x11927,x11928,x11929),f337(x11923,x11922,x11924,x11925,x11926,x11927,x11928,x11929))
% 119.46/119.27 [1193]~E(x11931,x11932)+E(f337(x11933,x11934,x11931,x11935,x11936,x11937,x11938,x11939),f337(x11933,x11934,x11932,x11935,x11936,x11937,x11938,x11939))
% 119.46/119.27 [1194]~E(x11941,x11942)+E(f337(x11943,x11944,x11945,x11941,x11946,x11947,x11948,x11949),f337(x11943,x11944,x11945,x11942,x11946,x11947,x11948,x11949))
% 119.46/119.27 [1195]~E(x11951,x11952)+E(f337(x11953,x11954,x11955,x11956,x11951,x11957,x11958,x11959),f337(x11953,x11954,x11955,x11956,x11952,x11957,x11958,x11959))
% 119.46/119.27 [1196]~E(x11961,x11962)+E(f337(x11963,x11964,x11965,x11966,x11967,x11961,x11968,x11969),f337(x11963,x11964,x11965,x11966,x11967,x11962,x11968,x11969))
% 119.46/119.27 [1197]~E(x11971,x11972)+E(f337(x11973,x11974,x11975,x11976,x11977,x11978,x11971,x11979),f337(x11973,x11974,x11975,x11976,x11977,x11978,x11972,x11979))
% 119.46/119.27 [1198]~E(x11981,x11982)+E(f337(x11983,x11984,x11985,x11986,x11987,x11988,x11989,x11981),f337(x11983,x11984,x11985,x11986,x11987,x11988,x11989,x11982))
% 119.46/119.27 [1199]~E(x11991,x11992)+E(f572(x11991,x11993,x11994),f572(x11992,x11993,x11994))
% 119.46/119.27 [1200]~E(x12001,x12002)+E(f572(x12003,x12001,x12004),f572(x12003,x12002,x12004))
% 119.46/119.27 [1201]~E(x12011,x12012)+E(f572(x12013,x12014,x12011),f572(x12013,x12014,x12012))
% 119.46/119.27 [1202]~E(x12021,x12022)+E(f440(x12021,x12023,x12024,x12025,x12026),f440(x12022,x12023,x12024,x12025,x12026))
% 119.46/119.27 [1203]~E(x12031,x12032)+E(f440(x12033,x12031,x12034,x12035,x12036),f440(x12033,x12032,x12034,x12035,x12036))
% 119.46/119.27 [1204]~E(x12041,x12042)+E(f440(x12043,x12044,x12041,x12045,x12046),f440(x12043,x12044,x12042,x12045,x12046))
% 119.46/119.27 [1205]~E(x12051,x12052)+E(f440(x12053,x12054,x12055,x12051,x12056),f440(x12053,x12054,x12055,x12052,x12056))
% 119.46/119.27 [1206]~E(x12061,x12062)+E(f440(x12063,x12064,x12065,x12066,x12061),f440(x12063,x12064,x12065,x12066,x12062))
% 119.46/119.27 [1207]~E(x12071,x12072)+E(f604(x12071,x12073,x12074),f604(x12072,x12073,x12074))
% 119.46/119.27 [1208]~E(x12081,x12082)+E(f604(x12083,x12081,x12084),f604(x12083,x12082,x12084))
% 119.46/119.27 [1209]~E(x12091,x12092)+E(f604(x12093,x12094,x12091),f604(x12093,x12094,x12092))
% 119.46/119.27 [1210]~E(x12101,x12102)+E(f322(x12101,x12103),f322(x12102,x12103))
% 119.46/119.27 [1211]~E(x12111,x12112)+E(f322(x12113,x12111),f322(x12113,x12112))
% 119.46/119.27 [1212]~E(x12121,x12122)+E(f343(x12121,x12123,x12124,x12125),f343(x12122,x12123,x12124,x12125))
% 119.46/119.27 [1213]~E(x12131,x12132)+E(f343(x12133,x12131,x12134,x12135),f343(x12133,x12132,x12134,x12135))
% 119.46/119.27 [1214]~E(x12141,x12142)+E(f343(x12143,x12144,x12141,x12145),f343(x12143,x12144,x12142,x12145))
% 119.46/119.27 [1215]~E(x12151,x12152)+E(f343(x12153,x12154,x12155,x12151),f343(x12153,x12154,x12155,x12152))
% 119.46/119.27 [1216]~E(x12161,x12162)+E(f493(x12161,x12163,x12164),f493(x12162,x12163,x12164))
% 119.46/119.27 [1217]~E(x12171,x12172)+E(f493(x12173,x12171,x12174),f493(x12173,x12172,x12174))
% 119.46/119.27 [1218]~E(x12181,x12182)+E(f493(x12183,x12184,x12181),f493(x12183,x12184,x12182))
% 119.46/119.27 [1219]~E(x12191,x12192)+E(f494(x12191,x12193,x12194,x12195),f494(x12192,x12193,x12194,x12195))
% 119.46/119.27 [1220]~E(x12201,x12202)+E(f494(x12203,x12201,x12204,x12205),f494(x12203,x12202,x12204,x12205))
% 119.46/119.27 [1221]~E(x12211,x12212)+E(f494(x12213,x12214,x12211,x12215),f494(x12213,x12214,x12212,x12215))
% 119.46/119.27 [1222]~E(x12221,x12222)+E(f494(x12223,x12224,x12225,x12221),f494(x12223,x12224,x12225,x12222))
% 119.46/119.27 [1223]~E(x12231,x12232)+E(f286(x12231,x12233,x12234,x12235,x12236),f286(x12232,x12233,x12234,x12235,x12236))
% 119.46/119.27 [1224]~E(x12241,x12242)+E(f286(x12243,x12241,x12244,x12245,x12246),f286(x12243,x12242,x12244,x12245,x12246))
% 119.46/119.27 [1225]~E(x12251,x12252)+E(f286(x12253,x12254,x12251,x12255,x12256),f286(x12253,x12254,x12252,x12255,x12256))
% 119.46/119.27 [1226]~E(x12261,x12262)+E(f286(x12263,x12264,x12265,x12261,x12266),f286(x12263,x12264,x12265,x12262,x12266))
% 119.46/119.27 [1227]~E(x12271,x12272)+E(f286(x12273,x12274,x12275,x12276,x12271),f286(x12273,x12274,x12275,x12276,x12272))
% 119.46/119.27 [1228]~E(x12281,x12282)+E(f839(x12281,x12283,x12284,x12285,x12286),f839(x12282,x12283,x12284,x12285,x12286))
% 119.46/119.27 [1229]~E(x12291,x12292)+E(f839(x12293,x12291,x12294,x12295,x12296),f839(x12293,x12292,x12294,x12295,x12296))
% 119.46/119.27 [1230]~E(x12301,x12302)+E(f839(x12303,x12304,x12301,x12305,x12306),f839(x12303,x12304,x12302,x12305,x12306))
% 119.46/119.27 [1231]~E(x12311,x12312)+E(f839(x12313,x12314,x12315,x12311,x12316),f839(x12313,x12314,x12315,x12312,x12316))
% 119.46/119.27 [1232]~E(x12321,x12322)+E(f839(x12323,x12324,x12325,x12326,x12321),f839(x12323,x12324,x12325,x12326,x12322))
% 119.46/119.27 [1233]~E(x12331,x12332)+E(f433(x12331,x12333,x12334),f433(x12332,x12333,x12334))
% 119.46/119.27 [1234]~E(x12341,x12342)+E(f433(x12343,x12341,x12344),f433(x12343,x12342,x12344))
% 119.46/119.27 [1235]~E(x12351,x12352)+E(f433(x12353,x12354,x12351),f433(x12353,x12354,x12352))
% 119.46/119.27 [1236]~E(x12361,x12362)+E(f186(x12361,x12363,x12364,x12365),f186(x12362,x12363,x12364,x12365))
% 119.46/119.27 [1237]~E(x12371,x12372)+E(f186(x12373,x12371,x12374,x12375),f186(x12373,x12372,x12374,x12375))
% 119.46/119.27 [1238]~E(x12381,x12382)+E(f186(x12383,x12384,x12381,x12385),f186(x12383,x12384,x12382,x12385))
% 119.46/119.27 [1239]~E(x12391,x12392)+E(f186(x12393,x12394,x12395,x12391),f186(x12393,x12394,x12395,x12392))
% 119.46/119.27 [1240]~E(x12401,x12402)+E(f716(x12401,x12403),f716(x12402,x12403))
% 119.46/119.27 [1241]~E(x12411,x12412)+E(f716(x12413,x12411),f716(x12413,x12412))
% 119.46/119.27 [1242]~E(x12421,x12422)+E(f432(x12421,x12423,x12424),f432(x12422,x12423,x12424))
% 119.46/119.27 [1243]~E(x12431,x12432)+E(f432(x12433,x12431,x12434),f432(x12433,x12432,x12434))
% 119.46/119.27 [1244]~E(x12441,x12442)+E(f432(x12443,x12444,x12441),f432(x12443,x12444,x12442))
% 119.46/119.27 [1245]~E(x12451,x12452)+E(f697(x12451,x12453,x12454,x12455,x12456),f697(x12452,x12453,x12454,x12455,x12456))
% 119.46/119.27 [1246]~E(x12461,x12462)+E(f697(x12463,x12461,x12464,x12465,x12466),f697(x12463,x12462,x12464,x12465,x12466))
% 119.46/119.27 [1247]~E(x12471,x12472)+E(f697(x12473,x12474,x12471,x12475,x12476),f697(x12473,x12474,x12472,x12475,x12476))
% 119.46/119.27 [1248]~E(x12481,x12482)+E(f697(x12483,x12484,x12485,x12481,x12486),f697(x12483,x12484,x12485,x12482,x12486))
% 119.46/119.27 [1249]~E(x12491,x12492)+E(f697(x12493,x12494,x12495,x12496,x12491),f697(x12493,x12494,x12495,x12496,x12492))
% 119.46/119.27 [1250]~E(x12501,x12502)+E(f387(x12501),f387(x12502))
% 119.46/119.27 [1251]~E(x12511,x12512)+E(f548(x12511,x12513,x12514,x12515,x12516,x12517),f548(x12512,x12513,x12514,x12515,x12516,x12517))
% 119.46/119.27 [1252]~E(x12521,x12522)+E(f548(x12523,x12521,x12524,x12525,x12526,x12527),f548(x12523,x12522,x12524,x12525,x12526,x12527))
% 119.46/119.27 [1253]~E(x12531,x12532)+E(f548(x12533,x12534,x12531,x12535,x12536,x12537),f548(x12533,x12534,x12532,x12535,x12536,x12537))
% 119.46/119.27 [1254]~E(x12541,x12542)+E(f548(x12543,x12544,x12545,x12541,x12546,x12547),f548(x12543,x12544,x12545,x12542,x12546,x12547))
% 119.46/119.27 [1255]~E(x12551,x12552)+E(f548(x12553,x12554,x12555,x12556,x12551,x12557),f548(x12553,x12554,x12555,x12556,x12552,x12557))
% 119.46/119.27 [1256]~E(x12561,x12562)+E(f548(x12563,x12564,x12565,x12566,x12567,x12561),f548(x12563,x12564,x12565,x12566,x12567,x12562))
% 119.46/119.27 [1257]~E(x12571,x12572)+E(f547(x12571,x12573,x12574,x12575,x12576,x12577),f547(x12572,x12573,x12574,x12575,x12576,x12577))
% 119.46/119.27 [1258]~E(x12581,x12582)+E(f547(x12583,x12581,x12584,x12585,x12586,x12587),f547(x12583,x12582,x12584,x12585,x12586,x12587))
% 119.46/119.27 [1259]~E(x12591,x12592)+E(f547(x12593,x12594,x12591,x12595,x12596,x12597),f547(x12593,x12594,x12592,x12595,x12596,x12597))
% 119.46/119.27 [1260]~E(x12601,x12602)+E(f547(x12603,x12604,x12605,x12601,x12606,x12607),f547(x12603,x12604,x12605,x12602,x12606,x12607))
% 119.46/119.27 [1261]~E(x12611,x12612)+E(f547(x12613,x12614,x12615,x12616,x12611,x12617),f547(x12613,x12614,x12615,x12616,x12612,x12617))
% 119.46/119.27 [1262]~E(x12621,x12622)+E(f547(x12623,x12624,x12625,x12626,x12627,x12621),f547(x12623,x12624,x12625,x12626,x12627,x12622))
% 119.46/119.27 [1263]~E(x12631,x12632)+E(f329(x12631,x12633,x12634,x12635,x12636),f329(x12632,x12633,x12634,x12635,x12636))
% 119.46/119.27 [1264]~E(x12641,x12642)+E(f329(x12643,x12641,x12644,x12645,x12646),f329(x12643,x12642,x12644,x12645,x12646))
% 119.46/119.27 [1265]~E(x12651,x12652)+E(f329(x12653,x12654,x12651,x12655,x12656),f329(x12653,x12654,x12652,x12655,x12656))
% 119.46/119.27 [1266]~E(x12661,x12662)+E(f329(x12663,x12664,x12665,x12661,x12666),f329(x12663,x12664,x12665,x12662,x12666))
% 119.46/119.27 [1267]~E(x12671,x12672)+E(f329(x12673,x12674,x12675,x12676,x12671),f329(x12673,x12674,x12675,x12676,x12672))
% 119.46/119.27 [1268]~E(x12681,x12682)+E(f85(x12681,x12683,x12684,x12685),f85(x12682,x12683,x12684,x12685))
% 119.46/119.27 [1269]~E(x12691,x12692)+E(f85(x12693,x12691,x12694,x12695),f85(x12693,x12692,x12694,x12695))
% 119.46/119.27 [1270]~E(x12701,x12702)+E(f85(x12703,x12704,x12701,x12705),f85(x12703,x12704,x12702,x12705))
% 119.46/119.27 [1271]~E(x12711,x12712)+E(f85(x12713,x12714,x12715,x12711),f85(x12713,x12714,x12715,x12712))
% 119.46/119.27 [1272]~E(x12721,x12722)+E(f478(x12721,x12723,x12724,x12725),f478(x12722,x12723,x12724,x12725))
% 119.46/119.27 [1273]~E(x12731,x12732)+E(f478(x12733,x12731,x12734,x12735),f478(x12733,x12732,x12734,x12735))
% 119.46/119.27 [1274]~E(x12741,x12742)+E(f478(x12743,x12744,x12741,x12745),f478(x12743,x12744,x12742,x12745))
% 119.46/119.27 [1275]~E(x12751,x12752)+E(f478(x12753,x12754,x12755,x12751),f478(x12753,x12754,x12755,x12752))
% 119.46/119.27 [1276]~E(x12761,x12762)+E(f263(x12761,x12763,x12764,x12765),f263(x12762,x12763,x12764,x12765))
% 119.46/119.27 [1277]~E(x12771,x12772)+E(f263(x12773,x12771,x12774,x12775),f263(x12773,x12772,x12774,x12775))
% 119.46/119.27 [1278]~E(x12781,x12782)+E(f263(x12783,x12784,x12781,x12785),f263(x12783,x12784,x12782,x12785))
% 119.46/119.27 [1279]~E(x12791,x12792)+E(f263(x12793,x12794,x12795,x12791),f263(x12793,x12794,x12795,x12792))
% 119.46/119.27 [1280]~E(x12801,x12802)+E(f48(x12801,x12803,x12804),f48(x12802,x12803,x12804))
% 119.46/119.27 [1281]~E(x12811,x12812)+E(f48(x12813,x12811,x12814),f48(x12813,x12812,x12814))
% 119.46/119.27 [1282]~E(x12821,x12822)+E(f48(x12823,x12824,x12821),f48(x12823,x12824,x12822))
% 119.46/119.27 [1283]~E(x12831,x12832)+E(f346(x12831,x12833,x12834),f346(x12832,x12833,x12834))
% 119.46/119.27 [1284]~E(x12841,x12842)+E(f346(x12843,x12841,x12844),f346(x12843,x12842,x12844))
% 119.46/119.27 [1285]~E(x12851,x12852)+E(f346(x12853,x12854,x12851),f346(x12853,x12854,x12852))
% 119.46/119.27 [1286]~E(x12861,x12862)+E(f463(x12861,x12863),f463(x12862,x12863))
% 119.46/119.27 [1287]~E(x12871,x12872)+E(f463(x12873,x12871),f463(x12873,x12872))
% 119.46/119.27 [1288]~E(x12881,x12882)+E(f666(x12881,x12883,x12884),f666(x12882,x12883,x12884))
% 119.46/119.27 [1289]~E(x12891,x12892)+E(f666(x12893,x12891,x12894),f666(x12893,x12892,x12894))
% 119.46/119.27 [1290]~E(x12901,x12902)+E(f666(x12903,x12904,x12901),f666(x12903,x12904,x12902))
% 119.46/119.27 [1291]~E(x12911,x12912)+E(f490(x12911,x12913,x12914),f490(x12912,x12913,x12914))
% 119.46/119.27 [1292]~E(x12921,x12922)+E(f490(x12923,x12921,x12924),f490(x12923,x12922,x12924))
% 119.46/119.27 [1293]~E(x12931,x12932)+E(f490(x12933,x12934,x12931),f490(x12933,x12934,x12932))
% 119.46/119.27 [1294]~E(x12941,x12942)+E(f109(x12941,x12943,x12944),f109(x12942,x12943,x12944))
% 119.46/119.27 [1295]~E(x12951,x12952)+E(f109(x12953,x12951,x12954),f109(x12953,x12952,x12954))
% 119.46/119.27 [1296]~E(x12961,x12962)+E(f109(x12963,x12964,x12961),f109(x12963,x12964,x12962))
% 119.46/119.27 [1297]~E(x12971,x12972)+E(f724(x12971,x12973),f724(x12972,x12973))
% 119.46/119.27 [1298]~E(x12981,x12982)+E(f724(x12983,x12981),f724(x12983,x12982))
% 119.46/119.27 [1299]~E(x12991,x12992)+E(f749(x12991,x12993,x12994),f749(x12992,x12993,x12994))
% 119.46/119.27 [1300]~E(x13001,x13002)+E(f749(x13003,x13001,x13004),f749(x13003,x13002,x13004))
% 119.46/119.27 [1301]~E(x13011,x13012)+E(f749(x13013,x13014,x13011),f749(x13013,x13014,x13012))
% 119.46/119.27 [1302]~E(x13021,x13022)+E(f363(x13021,x13023),f363(x13022,x13023))
% 119.46/119.27 [1303]~E(x13031,x13032)+E(f363(x13033,x13031),f363(x13033,x13032))
% 119.46/119.27 [1304]~E(x13041,x13042)+E(f225(x13041,x13043),f225(x13042,x13043))
% 119.46/119.27 [1305]~E(x13051,x13052)+E(f225(x13053,x13051),f225(x13053,x13052))
% 119.46/119.27 [1306]~E(x13061,x13062)+E(f621(x13061,x13063),f621(x13062,x13063))
% 119.46/119.27 [1307]~E(x13071,x13072)+E(f621(x13073,x13071),f621(x13073,x13072))
% 119.46/119.27 [1308]~E(x13081,x13082)+E(f112(x13081,x13083,x13084,x13085),f112(x13082,x13083,x13084,x13085))
% 119.46/119.27 [1309]~E(x13091,x13092)+E(f112(x13093,x13091,x13094,x13095),f112(x13093,x13092,x13094,x13095))
% 119.46/119.27 [1310]~E(x13101,x13102)+E(f112(x13103,x13104,x13101,x13105),f112(x13103,x13104,x13102,x13105))
% 119.46/119.27 [1311]~E(x13111,x13112)+E(f112(x13113,x13114,x13115,x13111),f112(x13113,x13114,x13115,x13112))
% 119.46/119.27 [1312]~E(x13121,x13122)+E(f162(x13121,x13123,x13124),f162(x13122,x13123,x13124))
% 119.46/119.27 [1313]~E(x13131,x13132)+E(f162(x13133,x13131,x13134),f162(x13133,x13132,x13134))
% 119.46/119.27 [1314]~E(x13141,x13142)+E(f162(x13143,x13144,x13141),f162(x13143,x13144,x13142))
% 119.46/119.27 [1315]~E(x13151,x13152)+E(f811(x13151,x13153,x13154,x13155,x13156),f811(x13152,x13153,x13154,x13155,x13156))
% 119.46/119.27 [1316]~E(x13161,x13162)+E(f811(x13163,x13161,x13164,x13165,x13166),f811(x13163,x13162,x13164,x13165,x13166))
% 119.46/119.27 [1317]~E(x13171,x13172)+E(f811(x13173,x13174,x13171,x13175,x13176),f811(x13173,x13174,x13172,x13175,x13176))
% 119.46/119.27 [1318]~E(x13181,x13182)+E(f811(x13183,x13184,x13185,x13181,x13186),f811(x13183,x13184,x13185,x13182,x13186))
% 119.46/119.27 [1319]~E(x13191,x13192)+E(f811(x13193,x13194,x13195,x13196,x13191),f811(x13193,x13194,x13195,x13196,x13192))
% 119.46/119.27 [1320]~E(x13201,x13202)+E(f776(x13201,x13203,x13204),f776(x13202,x13203,x13204))
% 119.46/119.27 [1321]~E(x13211,x13212)+E(f776(x13213,x13211,x13214),f776(x13213,x13212,x13214))
% 119.46/119.27 [1322]~E(x13221,x13222)+E(f776(x13223,x13224,x13221),f776(x13223,x13224,x13222))
% 119.46/119.27 [1323]~E(x13231,x13232)+E(f879(x13231,x13233),f879(x13232,x13233))
% 119.46/119.27 [1324]~E(x13241,x13242)+E(f879(x13243,x13241),f879(x13243,x13242))
% 119.46/119.27 [1325]~E(x13251,x13252)+E(f675(x13251,x13253,x13254,x13255),f675(x13252,x13253,x13254,x13255))
% 119.46/119.27 [1326]~E(x13261,x13262)+E(f675(x13263,x13261,x13264,x13265),f675(x13263,x13262,x13264,x13265))
% 119.46/119.27 [1327]~E(x13271,x13272)+E(f675(x13273,x13274,x13271,x13275),f675(x13273,x13274,x13272,x13275))
% 119.46/119.27 [1328]~E(x13281,x13282)+E(f675(x13283,x13284,x13285,x13281),f675(x13283,x13284,x13285,x13282))
% 119.46/119.27 [1329]~E(x13291,x13292)+E(f415(x13291,x13293),f415(x13292,x13293))
% 119.46/119.27 [1330]~E(x13301,x13302)+E(f415(x13303,x13301),f415(x13303,x13302))
% 119.46/119.27 [1331]~E(x13311,x13312)+E(f484(x13311,x13313,x13314),f484(x13312,x13313,x13314))
% 119.46/119.27 [1332]~E(x13321,x13322)+E(f484(x13323,x13321,x13324),f484(x13323,x13322,x13324))
% 119.46/119.27 [1333]~E(x13331,x13332)+E(f484(x13333,x13334,x13331),f484(x13333,x13334,x13332))
% 119.46/119.27 [1334]~E(x13341,x13342)+E(f517(x13341,x13343,x13344,x13345,x13346,x13347),f517(x13342,x13343,x13344,x13345,x13346,x13347))
% 119.46/119.27 [1335]~E(x13351,x13352)+E(f517(x13353,x13351,x13354,x13355,x13356,x13357),f517(x13353,x13352,x13354,x13355,x13356,x13357))
% 119.46/119.27 [1336]~E(x13361,x13362)+E(f517(x13363,x13364,x13361,x13365,x13366,x13367),f517(x13363,x13364,x13362,x13365,x13366,x13367))
% 119.46/119.27 [1337]~E(x13371,x13372)+E(f517(x13373,x13374,x13375,x13371,x13376,x13377),f517(x13373,x13374,x13375,x13372,x13376,x13377))
% 119.46/119.27 [1338]~E(x13381,x13382)+E(f517(x13383,x13384,x13385,x13386,x13381,x13387),f517(x13383,x13384,x13385,x13386,x13382,x13387))
% 119.46/119.27 [1339]~E(x13391,x13392)+E(f517(x13393,x13394,x13395,x13396,x13397,x13391),f517(x13393,x13394,x13395,x13396,x13397,x13392))
% 119.46/119.27 [1340]~E(x13401,x13402)+E(f788(x13401,x13403,x13404,x13405),f788(x13402,x13403,x13404,x13405))
% 119.46/119.27 [1341]~E(x13411,x13412)+E(f788(x13413,x13411,x13414,x13415),f788(x13413,x13412,x13414,x13415))
% 119.46/119.27 [1342]~E(x13421,x13422)+E(f788(x13423,x13424,x13421,x13425),f788(x13423,x13424,x13422,x13425))
% 119.46/119.27 [1343]~E(x13431,x13432)+E(f788(x13433,x13434,x13435,x13431),f788(x13433,x13434,x13435,x13432))
% 119.46/119.27 [1344]~E(x13441,x13442)+E(f850(x13441,x13443,x13444),f850(x13442,x13443,x13444))
% 119.46/119.27 [1345]~E(x13451,x13452)+E(f850(x13453,x13451,x13454),f850(x13453,x13452,x13454))
% 119.46/119.27 [1346]~E(x13461,x13462)+E(f850(x13463,x13464,x13461),f850(x13463,x13464,x13462))
% 119.46/119.27 [1347]~E(x13471,x13472)+E(f392(x13471,x13473,x13474,x13475),f392(x13472,x13473,x13474,x13475))
% 119.46/119.27 [1348]~E(x13481,x13482)+E(f392(x13483,x13481,x13484,x13485),f392(x13483,x13482,x13484,x13485))
% 119.46/119.27 [1349]~E(x13491,x13492)+E(f392(x13493,x13494,x13491,x13495),f392(x13493,x13494,x13492,x13495))
% 119.46/119.27 [1350]~E(x13501,x13502)+E(f392(x13503,x13504,x13505,x13501),f392(x13503,x13504,x13505,x13502))
% 119.46/119.27 [1351]~E(x13511,x13512)+E(f652(x13511,x13513,x13514),f652(x13512,x13513,x13514))
% 119.46/119.27 [1352]~E(x13521,x13522)+E(f652(x13523,x13521,x13524),f652(x13523,x13522,x13524))
% 119.46/119.27 [1353]~E(x13531,x13532)+E(f652(x13533,x13534,x13531),f652(x13533,x13534,x13532))
% 119.46/119.27 [1354]~E(x13541,x13542)+E(f249(x13541,x13543,x13544,x13545,x13546),f249(x13542,x13543,x13544,x13545,x13546))
% 119.46/119.27 [1355]~E(x13551,x13552)+E(f249(x13553,x13551,x13554,x13555,x13556),f249(x13553,x13552,x13554,x13555,x13556))
% 119.46/119.27 [1356]~E(x13561,x13562)+E(f249(x13563,x13564,x13561,x13565,x13566),f249(x13563,x13564,x13562,x13565,x13566))
% 119.46/119.27 [1357]~E(x13571,x13572)+E(f249(x13573,x13574,x13575,x13571,x13576),f249(x13573,x13574,x13575,x13572,x13576))
% 119.46/119.27 [1358]~E(x13581,x13582)+E(f249(x13583,x13584,x13585,x13586,x13581),f249(x13583,x13584,x13585,x13586,x13582))
% 119.46/119.27 [1359]~E(x13591,x13592)+E(f220(x13591,x13593,x13594),f220(x13592,x13593,x13594))
% 119.46/119.27 [1360]~E(x13601,x13602)+E(f220(x13603,x13601,x13604),f220(x13603,x13602,x13604))
% 119.46/119.27 [1361]~E(x13611,x13612)+E(f220(x13613,x13614,x13611),f220(x13613,x13614,x13612))
% 119.46/119.27 [1362]~E(x13621,x13622)+E(f790(x13621,x13623,x13624,x13625),f790(x13622,x13623,x13624,x13625))
% 119.46/119.27 [1363]~E(x13631,x13632)+E(f790(x13633,x13631,x13634,x13635),f790(x13633,x13632,x13634,x13635))
% 119.46/119.27 [1364]~E(x13641,x13642)+E(f790(x13643,x13644,x13641,x13645),f790(x13643,x13644,x13642,x13645))
% 119.46/119.27 [1365]~E(x13651,x13652)+E(f790(x13653,x13654,x13655,x13651),f790(x13653,x13654,x13655,x13652))
% 119.46/119.27 [1366]~E(x13661,x13662)+E(f600(x13661,x13663,x13664,x13665,x13666,x13667,x13668,x13669),f600(x13662,x13663,x13664,x13665,x13666,x13667,x13668,x13669))
% 119.46/119.27 [1367]~E(x13671,x13672)+E(f600(x13673,x13671,x13674,x13675,x13676,x13677,x13678,x13679),f600(x13673,x13672,x13674,x13675,x13676,x13677,x13678,x13679))
% 119.46/119.27 [1368]~E(x13681,x13682)+E(f600(x13683,x13684,x13681,x13685,x13686,x13687,x13688,x13689),f600(x13683,x13684,x13682,x13685,x13686,x13687,x13688,x13689))
% 119.46/119.27 [1369]~E(x13691,x13692)+E(f600(x13693,x13694,x13695,x13691,x13696,x13697,x13698,x13699),f600(x13693,x13694,x13695,x13692,x13696,x13697,x13698,x13699))
% 119.46/119.27 [1370]~E(x13701,x13702)+E(f600(x13703,x13704,x13705,x13706,x13701,x13707,x13708,x13709),f600(x13703,x13704,x13705,x13706,x13702,x13707,x13708,x13709))
% 119.46/119.27 [1371]~E(x13711,x13712)+E(f600(x13713,x13714,x13715,x13716,x13717,x13711,x13718,x13719),f600(x13713,x13714,x13715,x13716,x13717,x13712,x13718,x13719))
% 119.46/119.27 [1372]~E(x13721,x13722)+E(f600(x13723,x13724,x13725,x13726,x13727,x13728,x13721,x13729),f600(x13723,x13724,x13725,x13726,x13727,x13728,x13722,x13729))
% 119.46/119.27 [1373]~E(x13731,x13732)+E(f600(x13733,x13734,x13735,x13736,x13737,x13738,x13739,x13731),f600(x13733,x13734,x13735,x13736,x13737,x13738,x13739,x13732))
% 119.46/119.27 [1374]~E(x13741,x13742)+E(f654(x13741,x13743),f654(x13742,x13743))
% 119.46/119.27 [1375]~E(x13751,x13752)+E(f654(x13753,x13751),f654(x13753,x13752))
% 119.46/119.27 [1376]~E(x13761,x13762)+E(f750(x13761,x13763,x13764,x13765),f750(x13762,x13763,x13764,x13765))
% 119.46/119.27 [1377]~E(x13771,x13772)+E(f750(x13773,x13771,x13774,x13775),f750(x13773,x13772,x13774,x13775))
% 119.46/119.27 [1378]~E(x13781,x13782)+E(f750(x13783,x13784,x13781,x13785),f750(x13783,x13784,x13782,x13785))
% 119.46/119.27 [1379]~E(x13791,x13792)+E(f750(x13793,x13794,x13795,x13791),f750(x13793,x13794,x13795,x13792))
% 119.46/119.27 [1380]~E(x13801,x13802)+E(f395(x13801,x13803,x13804,x13805),f395(x13802,x13803,x13804,x13805))
% 119.46/119.27 [1381]~E(x13811,x13812)+E(f395(x13813,x13811,x13814,x13815),f395(x13813,x13812,x13814,x13815))
% 119.46/119.27 [1382]~E(x13821,x13822)+E(f395(x13823,x13824,x13821,x13825),f395(x13823,x13824,x13822,x13825))
% 119.46/119.27 [1383]~E(x13831,x13832)+E(f395(x13833,x13834,x13835,x13831),f395(x13833,x13834,x13835,x13832))
% 119.46/119.27 [1384]~E(x13841,x13842)+E(f686(x13841,x13843,x13844),f686(x13842,x13843,x13844))
% 119.46/119.27 [1385]~E(x13851,x13852)+E(f686(x13853,x13851,x13854),f686(x13853,x13852,x13854))
% 119.46/119.27 [1386]~E(x13861,x13862)+E(f686(x13863,x13864,x13861),f686(x13863,x13864,x13862))
% 119.46/119.27 [1387]~E(x13871,x13872)+E(f578(x13871,x13873,x13874,x13875,x13876,x13877),f578(x13872,x13873,x13874,x13875,x13876,x13877))
% 119.46/119.27 [1388]~E(x13881,x13882)+E(f578(x13883,x13881,x13884,x13885,x13886,x13887),f578(x13883,x13882,x13884,x13885,x13886,x13887))
% 119.46/119.27 [1389]~E(x13891,x13892)+E(f578(x13893,x13894,x13891,x13895,x13896,x13897),f578(x13893,x13894,x13892,x13895,x13896,x13897))
% 119.46/119.27 [1390]~E(x13901,x13902)+E(f578(x13903,x13904,x13905,x13901,x13906,x13907),f578(x13903,x13904,x13905,x13902,x13906,x13907))
% 119.46/119.27 [1391]~E(x13911,x13912)+E(f578(x13913,x13914,x13915,x13916,x13911,x13917),f578(x13913,x13914,x13915,x13916,x13912,x13917))
% 119.46/119.27 [1392]~E(x13921,x13922)+E(f578(x13923,x13924,x13925,x13926,x13927,x13921),f578(x13923,x13924,x13925,x13926,x13927,x13922))
% 119.46/119.27 [1393]~E(x13931,x13932)+E(f520(x13931,x13933,x13934,x13935),f520(x13932,x13933,x13934,x13935))
% 119.46/119.27 [1394]~E(x13941,x13942)+E(f520(x13943,x13941,x13944,x13945),f520(x13943,x13942,x13944,x13945))
% 119.46/119.27 [1395]~E(x13951,x13952)+E(f520(x13953,x13954,x13951,x13955),f520(x13953,x13954,x13952,x13955))
% 119.46/119.27 [1396]~E(x13961,x13962)+E(f520(x13963,x13964,x13965,x13961),f520(x13963,x13964,x13965,x13962))
% 119.46/119.27 [1397]~E(x13971,x13972)+E(f354(x13971,x13973,x13974,x13975,x13976),f354(x13972,x13973,x13974,x13975,x13976))
% 119.46/119.27 [1398]~E(x13981,x13982)+E(f354(x13983,x13981,x13984,x13985,x13986),f354(x13983,x13982,x13984,x13985,x13986))
% 119.46/119.27 [1399]~E(x13991,x13992)+E(f354(x13993,x13994,x13991,x13995,x13996),f354(x13993,x13994,x13992,x13995,x13996))
% 119.46/119.27 [1400]~E(x14001,x14002)+E(f354(x14003,x14004,x14005,x14001,x14006),f354(x14003,x14004,x14005,x14002,x14006))
% 119.46/119.27 [1401]~E(x14011,x14012)+E(f354(x14013,x14014,x14015,x14016,x14011),f354(x14013,x14014,x14015,x14016,x14012))
% 119.46/119.27 [1402]~E(x14021,x14022)+E(f324(x14021,x14023,x14024,x14025),f324(x14022,x14023,x14024,x14025))
% 119.46/119.27 [1403]~E(x14031,x14032)+E(f324(x14033,x14031,x14034,x14035),f324(x14033,x14032,x14034,x14035))
% 119.46/119.27 [1404]~E(x14041,x14042)+E(f324(x14043,x14044,x14041,x14045),f324(x14043,x14044,x14042,x14045))
% 119.46/119.27 [1405]~E(x14051,x14052)+E(f324(x14053,x14054,x14055,x14051),f324(x14053,x14054,x14055,x14052))
% 119.46/119.27 [1406]~E(x14061,x14062)+E(f679(x14061,x14063,x14064,x14065,x14066),f679(x14062,x14063,x14064,x14065,x14066))
% 119.46/119.27 [1407]~E(x14071,x14072)+E(f679(x14073,x14071,x14074,x14075,x14076),f679(x14073,x14072,x14074,x14075,x14076))
% 119.46/119.27 [1408]~E(x14081,x14082)+E(f679(x14083,x14084,x14081,x14085,x14086),f679(x14083,x14084,x14082,x14085,x14086))
% 119.46/119.27 [1409]~E(x14091,x14092)+E(f679(x14093,x14094,x14095,x14091,x14096),f679(x14093,x14094,x14095,x14092,x14096))
% 119.46/119.27 [1410]~E(x14101,x14102)+E(f679(x14103,x14104,x14105,x14106,x14101),f679(x14103,x14104,x14105,x14106,x14102))
% 119.46/119.27 [1411]~E(x14111,x14112)+E(f760(x14111,x14113,x14114,x14115,x14116),f760(x14112,x14113,x14114,x14115,x14116))
% 119.46/119.27 [1412]~E(x14121,x14122)+E(f760(x14123,x14121,x14124,x14125,x14126),f760(x14123,x14122,x14124,x14125,x14126))
% 119.46/119.27 [1413]~E(x14131,x14132)+E(f760(x14133,x14134,x14131,x14135,x14136),f760(x14133,x14134,x14132,x14135,x14136))
% 119.46/119.27 [1414]~E(x14141,x14142)+E(f760(x14143,x14144,x14145,x14141,x14146),f760(x14143,x14144,x14145,x14142,x14146))
% 119.46/119.27 [1415]~E(x14151,x14152)+E(f760(x14153,x14154,x14155,x14156,x14151),f760(x14153,x14154,x14155,x14156,x14152))
% 119.46/119.27 [1416]~E(x14161,x14162)+E(f466(x14161,x14163,x14164),f466(x14162,x14163,x14164))
% 119.46/119.27 [1417]~E(x14171,x14172)+E(f466(x14173,x14171,x14174),f466(x14173,x14172,x14174))
% 119.46/119.27 [1418]~E(x14181,x14182)+E(f466(x14183,x14184,x14181),f466(x14183,x14184,x14182))
% 119.46/119.27 [1419]~E(x14191,x14192)+E(f735(x14191,x14193),f735(x14192,x14193))
% 119.46/119.27 [1420]~E(x14201,x14202)+E(f735(x14203,x14201),f735(x14203,x14202))
% 119.46/119.27 [1421]~E(x14211,x14212)+E(f481(x14211,x14213,x14214,x14215),f481(x14212,x14213,x14214,x14215))
% 119.46/119.27 [1422]~E(x14221,x14222)+E(f481(x14223,x14221,x14224,x14225),f481(x14223,x14222,x14224,x14225))
% 119.46/119.27 [1423]~E(x14231,x14232)+E(f481(x14233,x14234,x14231,x14235),f481(x14233,x14234,x14232,x14235))
% 119.46/119.27 [1424]~E(x14241,x14242)+E(f481(x14243,x14244,x14245,x14241),f481(x14243,x14244,x14245,x14242))
% 119.46/119.27 [1425]~E(x14251,x14252)+E(f377(x14251,x14253,x14254),f377(x14252,x14253,x14254))
% 119.46/119.27 [1426]~E(x14261,x14262)+E(f377(x14263,x14261,x14264),f377(x14263,x14262,x14264))
% 119.46/119.27 [1427]~E(x14271,x14272)+E(f377(x14273,x14274,x14271),f377(x14273,x14274,x14272))
% 119.46/119.27 [1428]~E(x14281,x14282)+E(f391(x14281,x14283,x14284,x14285),f391(x14282,x14283,x14284,x14285))
% 119.46/119.27 [1429]~E(x14291,x14292)+E(f391(x14293,x14291,x14294,x14295),f391(x14293,x14292,x14294,x14295))
% 119.46/119.27 [1430]~E(x14301,x14302)+E(f391(x14303,x14304,x14301,x14305),f391(x14303,x14304,x14302,x14305))
% 119.46/119.27 [1431]~E(x14311,x14312)+E(f391(x14313,x14314,x14315,x14311),f391(x14313,x14314,x14315,x14312))
% 119.46/119.27 [1432]~E(x14321,x14322)+E(f449(x14321),f449(x14322))
% 119.46/119.27 [1433]~E(x14331,x14332)+E(f779(x14331,x14333,x14334),f779(x14332,x14333,x14334))
% 119.46/119.27 [1434]~E(x14341,x14342)+E(f779(x14343,x14341,x14344),f779(x14343,x14342,x14344))
% 119.46/119.27 [1435]~E(x14351,x14352)+E(f779(x14353,x14354,x14351),f779(x14353,x14354,x14352))
% 119.46/119.27 [1436]~E(x14361,x14362)+E(f467(x14361,x14363,x14364),f467(x14362,x14363,x14364))
% 119.46/119.27 [1437]~E(x14371,x14372)+E(f467(x14373,x14371,x14374),f467(x14373,x14372,x14374))
% 119.46/119.27 [1438]~E(x14381,x14382)+E(f467(x14383,x14384,x14381),f467(x14383,x14384,x14382))
% 119.46/119.27 [1439]~E(x14391,x14392)+E(f791(x14391,x14393,x14394,x14395),f791(x14392,x14393,x14394,x14395))
% 119.46/119.27 [1440]~E(x14401,x14402)+E(f791(x14403,x14401,x14404,x14405),f791(x14403,x14402,x14404,x14405))
% 119.46/119.27 [1441]~E(x14411,x14412)+E(f791(x14413,x14414,x14411,x14415),f791(x14413,x14414,x14412,x14415))
% 119.46/119.27 [1442]~E(x14421,x14422)+E(f791(x14423,x14424,x14425,x14421),f791(x14423,x14424,x14425,x14422))
% 119.46/119.27 [1443]~E(x14431,x14432)+E(f607(x14431,x14433,x14434),f607(x14432,x14433,x14434))
% 119.46/119.27 [1444]~E(x14441,x14442)+E(f607(x14443,x14441,x14444),f607(x14443,x14442,x14444))
% 119.46/119.27 [1445]~E(x14451,x14452)+E(f607(x14453,x14454,x14451),f607(x14453,x14454,x14452))
% 119.46/119.27 [1446]~E(x14461,x14462)+E(f119(x14461,x14463,x14464,x14465),f119(x14462,x14463,x14464,x14465))
% 119.46/119.27 [1447]~E(x14471,x14472)+E(f119(x14473,x14471,x14474,x14475),f119(x14473,x14472,x14474,x14475))
% 119.46/119.27 [1448]~E(x14481,x14482)+E(f119(x14483,x14484,x14481,x14485),f119(x14483,x14484,x14482,x14485))
% 119.46/119.27 [1449]~E(x14491,x14492)+E(f119(x14493,x14494,x14495,x14491),f119(x14493,x14494,x14495,x14492))
% 119.46/119.27 [1450]~E(x14501,x14502)+E(f866(x14501,x14503,x14504),f866(x14502,x14503,x14504))
% 119.46/119.27 [1451]~E(x14511,x14512)+E(f866(x14513,x14511,x14514),f866(x14513,x14512,x14514))
% 119.46/119.27 [1452]~E(x14521,x14522)+E(f866(x14523,x14524,x14521),f866(x14523,x14524,x14522))
% 119.46/119.27 [1453]~E(x14531,x14532)+E(f413(x14531,x14533),f413(x14532,x14533))
% 119.46/119.27 [1454]~E(x14541,x14542)+E(f413(x14543,x14541),f413(x14543,x14542))
% 119.46/119.27 [1455]~E(x14551,x14552)+E(f248(x14551,x14553,x14554,x14555,x14556),f248(x14552,x14553,x14554,x14555,x14556))
% 119.46/119.27 [1456]~E(x14561,x14562)+E(f248(x14563,x14561,x14564,x14565,x14566),f248(x14563,x14562,x14564,x14565,x14566))
% 119.46/119.27 [1457]~E(x14571,x14572)+E(f248(x14573,x14574,x14571,x14575,x14576),f248(x14573,x14574,x14572,x14575,x14576))
% 119.46/119.27 [1458]~E(x14581,x14582)+E(f248(x14583,x14584,x14585,x14581,x14586),f248(x14583,x14584,x14585,x14582,x14586))
% 119.46/119.27 [1459]~E(x14591,x14592)+E(f248(x14593,x14594,x14595,x14596,x14591),f248(x14593,x14594,x14595,x14596,x14592))
% 119.46/119.27 [1460]~E(x14601,x14602)+E(f758(x14601,x14603,x14604),f758(x14602,x14603,x14604))
% 119.46/119.27 [1461]~E(x14611,x14612)+E(f758(x14613,x14611,x14614),f758(x14613,x14612,x14614))
% 119.46/119.27 [1462]~E(x14621,x14622)+E(f758(x14623,x14624,x14621),f758(x14623,x14624,x14622))
% 119.46/119.27 [1463]~E(x14631,x14632)+E(f766(x14631,x14633,x14634,x14635),f766(x14632,x14633,x14634,x14635))
% 119.46/119.27 [1464]~E(x14641,x14642)+E(f766(x14643,x14641,x14644,x14645),f766(x14643,x14642,x14644,x14645))
% 119.46/119.27 [1465]~E(x14651,x14652)+E(f766(x14653,x14654,x14651,x14655),f766(x14653,x14654,x14652,x14655))
% 119.46/119.27 [1466]~E(x14661,x14662)+E(f766(x14663,x14664,x14665,x14661),f766(x14663,x14664,x14665,x14662))
% 119.46/119.27 [1467]~E(x14671,x14672)+E(f458(x14671,x14673,x14674,x14675,x14676,x14677,x14678),f458(x14672,x14673,x14674,x14675,x14676,x14677,x14678))
% 119.46/119.27 [1468]~E(x14681,x14682)+E(f458(x14683,x14681,x14684,x14685,x14686,x14687,x14688),f458(x14683,x14682,x14684,x14685,x14686,x14687,x14688))
% 119.46/119.27 [1469]~E(x14691,x14692)+E(f458(x14693,x14694,x14691,x14695,x14696,x14697,x14698),f458(x14693,x14694,x14692,x14695,x14696,x14697,x14698))
% 119.46/119.27 [1470]~E(x14701,x14702)+E(f458(x14703,x14704,x14705,x14701,x14706,x14707,x14708),f458(x14703,x14704,x14705,x14702,x14706,x14707,x14708))
% 119.46/119.27 [1471]~E(x14711,x14712)+E(f458(x14713,x14714,x14715,x14716,x14711,x14717,x14718),f458(x14713,x14714,x14715,x14716,x14712,x14717,x14718))
% 119.46/119.27 [1472]~E(x14721,x14722)+E(f458(x14723,x14724,x14725,x14726,x14727,x14721,x14728),f458(x14723,x14724,x14725,x14726,x14727,x14722,x14728))
% 119.46/119.27 [1473]~E(x14731,x14732)+E(f458(x14733,x14734,x14735,x14736,x14737,x14738,x14731),f458(x14733,x14734,x14735,x14736,x14737,x14738,x14732))
% 119.46/119.27 [1474]~E(x14741,x14742)+E(f356(x14741,x14743,x14744,x14745,x14746),f356(x14742,x14743,x14744,x14745,x14746))
% 119.46/119.27 [1475]~E(x14751,x14752)+E(f356(x14753,x14751,x14754,x14755,x14756),f356(x14753,x14752,x14754,x14755,x14756))
% 119.46/119.27 [1476]~E(x14761,x14762)+E(f356(x14763,x14764,x14761,x14765,x14766),f356(x14763,x14764,x14762,x14765,x14766))
% 119.46/119.27 [1477]~E(x14771,x14772)+E(f356(x14773,x14774,x14775,x14771,x14776),f356(x14773,x14774,x14775,x14772,x14776))
% 119.46/119.27 [1478]~E(x14781,x14782)+E(f356(x14783,x14784,x14785,x14786,x14781),f356(x14783,x14784,x14785,x14786,x14782))
% 119.46/119.27 [1479]~E(x14791,x14792)+E(f418(x14791,x14793,x14794,x14795),f418(x14792,x14793,x14794,x14795))
% 119.46/119.27 [1480]~E(x14801,x14802)+E(f418(x14803,x14801,x14804,x14805),f418(x14803,x14802,x14804,x14805))
% 119.46/119.27 [1481]~E(x14811,x14812)+E(f418(x14813,x14814,x14811,x14815),f418(x14813,x14814,x14812,x14815))
% 119.46/119.27 [1482]~E(x14821,x14822)+E(f418(x14823,x14824,x14825,x14821),f418(x14823,x14824,x14825,x14822))
% 119.46/119.27 [1483]~E(x14831,x14832)+E(f852(x14831,x14833,x14834,x14835,x14836),f852(x14832,x14833,x14834,x14835,x14836))
% 119.46/119.27 [1484]~E(x14841,x14842)+E(f852(x14843,x14841,x14844,x14845,x14846),f852(x14843,x14842,x14844,x14845,x14846))
% 119.46/119.27 [1485]~E(x14851,x14852)+E(f852(x14853,x14854,x14851,x14855,x14856),f852(x14853,x14854,x14852,x14855,x14856))
% 119.46/119.27 [1486]~E(x14861,x14862)+E(f852(x14863,x14864,x14865,x14861,x14866),f852(x14863,x14864,x14865,x14862,x14866))
% 119.46/119.27 [1487]~E(x14871,x14872)+E(f852(x14873,x14874,x14875,x14876,x14871),f852(x14873,x14874,x14875,x14876,x14872))
% 119.46/119.27 [1488]~E(x14881,x14882)+E(f704(x14881,x14883,x14884,x14885,x14886),f704(x14882,x14883,x14884,x14885,x14886))
% 119.46/119.27 [1489]~E(x14891,x14892)+E(f704(x14893,x14891,x14894,x14895,x14896),f704(x14893,x14892,x14894,x14895,x14896))
% 119.46/119.27 [1490]~E(x14901,x14902)+E(f704(x14903,x14904,x14901,x14905,x14906),f704(x14903,x14904,x14902,x14905,x14906))
% 119.46/119.27 [1491]~E(x14911,x14912)+E(f704(x14913,x14914,x14915,x14911,x14916),f704(x14913,x14914,x14915,x14912,x14916))
% 119.46/119.27 [1492]~E(x14921,x14922)+E(f704(x14923,x14924,x14925,x14926,x14921),f704(x14923,x14924,x14925,x14926,x14922))
% 119.46/119.27 [1493]~E(x14931,x14932)+E(f630(x14931,x14933,x14934),f630(x14932,x14933,x14934))
% 119.46/119.27 [1494]~E(x14941,x14942)+E(f630(x14943,x14941,x14944),f630(x14943,x14942,x14944))
% 119.46/119.27 [1495]~E(x14951,x14952)+E(f630(x14953,x14954,x14951),f630(x14953,x14954,x14952))
% 119.46/119.27 [1496]~E(x14961,x14962)+E(f447(x14961,x14963,x14964,x14965,x14966),f447(x14962,x14963,x14964,x14965,x14966))
% 119.46/119.27 [1497]~E(x14971,x14972)+E(f447(x14973,x14971,x14974,x14975,x14976),f447(x14973,x14972,x14974,x14975,x14976))
% 119.46/119.27 [1498]~E(x14981,x14982)+E(f447(x14983,x14984,x14981,x14985,x14986),f447(x14983,x14984,x14982,x14985,x14986))
% 119.46/119.27 [1499]~E(x14991,x14992)+E(f447(x14993,x14994,x14995,x14991,x14996),f447(x14993,x14994,x14995,x14992,x14996))
% 119.46/119.27 [1500]~E(x15001,x15002)+E(f447(x15003,x15004,x15005,x15006,x15001),f447(x15003,x15004,x15005,x15006,x15002))
% 119.46/119.27 [1501]~E(x15011,x15012)+E(f669(x15011,x15013,x15014,x15015,x15016),f669(x15012,x15013,x15014,x15015,x15016))
% 119.46/119.27 [1502]~E(x15021,x15022)+E(f669(x15023,x15021,x15024,x15025,x15026),f669(x15023,x15022,x15024,x15025,x15026))
% 119.46/119.27 [1503]~E(x15031,x15032)+E(f669(x15033,x15034,x15031,x15035,x15036),f669(x15033,x15034,x15032,x15035,x15036))
% 119.46/119.27 [1504]~E(x15041,x15042)+E(f669(x15043,x15044,x15045,x15041,x15046),f669(x15043,x15044,x15045,x15042,x15046))
% 119.46/119.27 [1505]~E(x15051,x15052)+E(f669(x15053,x15054,x15055,x15056,x15051),f669(x15053,x15054,x15055,x15056,x15052))
% 119.46/119.27 [1506]~E(x15061,x15062)+E(f371(x15061,x15063,x15064,x15065),f371(x15062,x15063,x15064,x15065))
% 119.46/119.27 [1507]~E(x15071,x15072)+E(f371(x15073,x15071,x15074,x15075),f371(x15073,x15072,x15074,x15075))
% 119.46/119.27 [1508]~E(x15081,x15082)+E(f371(x15083,x15084,x15081,x15085),f371(x15083,x15084,x15082,x15085))
% 119.46/119.27 [1509]~E(x15091,x15092)+E(f371(x15093,x15094,x15095,x15091),f371(x15093,x15094,x15095,x15092))
% 119.46/119.27 [1510]~E(x15101,x15102)+E(f755(x15101,x15103,x15104),f755(x15102,x15103,x15104))
% 119.46/119.27 [1511]~E(x15111,x15112)+E(f755(x15113,x15111,x15114),f755(x15113,x15112,x15114))
% 119.46/119.27 [1512]~E(x15121,x15122)+E(f755(x15123,x15124,x15121),f755(x15123,x15124,x15122))
% 119.46/119.27 [1513]~E(x15131,x15132)+E(f573(x15131,x15133,x15134),f573(x15132,x15133,x15134))
% 119.46/119.27 [1514]~E(x15141,x15142)+E(f573(x15143,x15141,x15144),f573(x15143,x15142,x15144))
% 119.46/119.27 [1515]~E(x15151,x15152)+E(f573(x15153,x15154,x15151),f573(x15153,x15154,x15152))
% 119.46/119.27 [1516]~E(x15161,x15162)+E(f589(x15161,x15163,x15164),f589(x15162,x15163,x15164))
% 119.46/119.27 [1517]~E(x15171,x15172)+E(f589(x15173,x15171,x15174),f589(x15173,x15172,x15174))
% 119.46/119.27 [1518]~E(x15181,x15182)+E(f589(x15183,x15184,x15181),f589(x15183,x15184,x15182))
% 119.46/119.27 [1519]~E(x15191,x15192)+E(f552(x15191,x15193),f552(x15192,x15193))
% 119.46/119.27 [1520]~E(x15201,x15202)+E(f552(x15203,x15201),f552(x15203,x15202))
% 119.46/119.27 [1521]~E(x15211,x15212)+E(f191(x15211),f191(x15212))
% 119.46/119.27 [1522]~E(x15221,x15222)+E(f335(x15221,x15223,x15224,x15225,x15226),f335(x15222,x15223,x15224,x15225,x15226))
% 119.46/119.27 [1523]~E(x15231,x15232)+E(f335(x15233,x15231,x15234,x15235,x15236),f335(x15233,x15232,x15234,x15235,x15236))
% 119.46/119.27 [1524]~E(x15241,x15242)+E(f335(x15243,x15244,x15241,x15245,x15246),f335(x15243,x15244,x15242,x15245,x15246))
% 119.46/119.27 [1525]~E(x15251,x15252)+E(f335(x15253,x15254,x15255,x15251,x15256),f335(x15253,x15254,x15255,x15252,x15256))
% 119.46/119.27 [1526]~E(x15261,x15262)+E(f335(x15263,x15264,x15265,x15266,x15261),f335(x15263,x15264,x15265,x15266,x15262))
% 119.46/119.27 [1527]~E(x15271,x15272)+E(f357(x15271,x15273,x15274,x15275),f357(x15272,x15273,x15274,x15275))
% 119.46/119.27 [1528]~E(x15281,x15282)+E(f357(x15283,x15281,x15284,x15285),f357(x15283,x15282,x15284,x15285))
% 119.46/119.27 [1529]~E(x15291,x15292)+E(f357(x15293,x15294,x15291,x15295),f357(x15293,x15294,x15292,x15295))
% 119.46/119.27 [1530]~E(x15301,x15302)+E(f357(x15303,x15304,x15305,x15301),f357(x15303,x15304,x15305,x15302))
% 119.46/119.27 [1531]~E(x15311,x15312)+E(f853(x15311,x15313,x15314,x15315,x15316),f853(x15312,x15313,x15314,x15315,x15316))
% 119.46/119.27 [1532]~E(x15321,x15322)+E(f853(x15323,x15321,x15324,x15325,x15326),f853(x15323,x15322,x15324,x15325,x15326))
% 119.46/119.27 [1533]~E(x15331,x15332)+E(f853(x15333,x15334,x15331,x15335,x15336),f853(x15333,x15334,x15332,x15335,x15336))
% 119.46/119.27 [1534]~E(x15341,x15342)+E(f853(x15343,x15344,x15345,x15341,x15346),f853(x15343,x15344,x15345,x15342,x15346))
% 119.46/119.27 [1535]~E(x15351,x15352)+E(f853(x15353,x15354,x15355,x15356,x15351),f853(x15353,x15354,x15355,x15356,x15352))
% 119.46/119.27 [1536]~E(x15361,x15362)+E(f442(x15361,x15363,x15364),f442(x15362,x15363,x15364))
% 119.46/119.27 [1537]~E(x15371,x15372)+E(f442(x15373,x15371,x15374),f442(x15373,x15372,x15374))
% 119.46/119.27 [1538]~E(x15381,x15382)+E(f442(x15383,x15384,x15381),f442(x15383,x15384,x15382))
% 119.46/119.27 [1539]~E(x15391,x15392)+E(f23(x15391,x15393),f23(x15392,x15393))
% 119.46/119.27 [1540]~E(x15401,x15402)+E(f23(x15403,x15401),f23(x15403,x15402))
% 119.46/119.27 [1541]~E(x15411,x15412)+E(f778(x15411,x15413,x15414),f778(x15412,x15413,x15414))
% 119.46/119.27 [1542]~E(x15421,x15422)+E(f778(x15423,x15421,x15424),f778(x15423,x15422,x15424))
% 119.46/119.27 [1543]~E(x15431,x15432)+E(f778(x15433,x15434,x15431),f778(x15433,x15434,x15432))
% 119.46/119.27 [1544]~E(x15441,x15442)+E(f579(x15441,x15443,x15444,x15445,x15446,x15447),f579(x15442,x15443,x15444,x15445,x15446,x15447))
% 119.46/119.27 [1545]~E(x15451,x15452)+E(f579(x15453,x15451,x15454,x15455,x15456,x15457),f579(x15453,x15452,x15454,x15455,x15456,x15457))
% 119.46/119.27 [1546]~E(x15461,x15462)+E(f579(x15463,x15464,x15461,x15465,x15466,x15467),f579(x15463,x15464,x15462,x15465,x15466,x15467))
% 119.46/119.27 [1547]~E(x15471,x15472)+E(f579(x15473,x15474,x15475,x15471,x15476,x15477),f579(x15473,x15474,x15475,x15472,x15476,x15477))
% 119.46/119.27 [1548]~E(x15481,x15482)+E(f579(x15483,x15484,x15485,x15486,x15481,x15487),f579(x15483,x15484,x15485,x15486,x15482,x15487))
% 119.46/119.27 [1549]~E(x15491,x15492)+E(f579(x15493,x15494,x15495,x15496,x15497,x15491),f579(x15493,x15494,x15495,x15496,x15497,x15492))
% 119.46/119.27 [1550]~E(x15501,x15502)+E(f764(x15501,x15503,x15504,x15505,x15506),f764(x15502,x15503,x15504,x15505,x15506))
% 119.46/119.27 [1551]~E(x15511,x15512)+E(f764(x15513,x15511,x15514,x15515,x15516),f764(x15513,x15512,x15514,x15515,x15516))
% 119.46/119.27 [1552]~E(x15521,x15522)+E(f764(x15523,x15524,x15521,x15525,x15526),f764(x15523,x15524,x15522,x15525,x15526))
% 119.46/119.27 [1553]~E(x15531,x15532)+E(f764(x15533,x15534,x15535,x15531,x15536),f764(x15533,x15534,x15535,x15532,x15536))
% 119.46/119.27 [1554]~E(x15541,x15542)+E(f764(x15543,x15544,x15545,x15546,x15541),f764(x15543,x15544,x15545,x15546,x15542))
% 119.46/119.27 [1555]~E(x15551,x15552)+E(f221(x15551,x15553,x15554,x15555),f221(x15552,x15553,x15554,x15555))
% 119.46/119.27 [1556]~E(x15561,x15562)+E(f221(x15563,x15561,x15564,x15565),f221(x15563,x15562,x15564,x15565))
% 119.46/119.27 [1557]~E(x15571,x15572)+E(f221(x15573,x15574,x15571,x15575),f221(x15573,x15574,x15572,x15575))
% 119.46/119.27 [1558]~E(x15581,x15582)+E(f221(x15583,x15584,x15585,x15581),f221(x15583,x15584,x15585,x15582))
% 119.46/119.27 [1559]~E(x15591,x15592)+E(f238(x15591,x15593,x15594),f238(x15592,x15593,x15594))
% 119.46/119.27 [1560]~E(x15601,x15602)+E(f238(x15603,x15601,x15604),f238(x15603,x15602,x15604))
% 119.46/119.27 [1561]~E(x15611,x15612)+E(f238(x15613,x15614,x15611),f238(x15613,x15614,x15612))
% 119.46/119.27 [1562]~E(x15621,x15622)+E(f188(x15621,x15623,x15624,x15625),f188(x15622,x15623,x15624,x15625))
% 119.46/119.27 [1563]~E(x15631,x15632)+E(f188(x15633,x15631,x15634,x15635),f188(x15633,x15632,x15634,x15635))
% 119.46/119.27 [1564]~E(x15641,x15642)+E(f188(x15643,x15644,x15641,x15645),f188(x15643,x15644,x15642,x15645))
% 119.46/119.27 [1565]~E(x15651,x15652)+E(f188(x15653,x15654,x15655,x15651),f188(x15653,x15654,x15655,x15652))
% 119.46/119.27 [1566]~E(x15661,x15662)+E(f640(x15661,x15663),f640(x15662,x15663))
% 119.46/119.27 [1567]~E(x15671,x15672)+E(f640(x15673,x15671),f640(x15673,x15672))
% 119.46/119.27 [1568]~E(x15681,x15682)+E(f586(x15681,x15683,x15684,x15685,x15686,x15687),f586(x15682,x15683,x15684,x15685,x15686,x15687))
% 119.46/119.27 [1569]~E(x15691,x15692)+E(f586(x15693,x15691,x15694,x15695,x15696,x15697),f586(x15693,x15692,x15694,x15695,x15696,x15697))
% 119.46/119.27 [1570]~E(x15701,x15702)+E(f586(x15703,x15704,x15701,x15705,x15706,x15707),f586(x15703,x15704,x15702,x15705,x15706,x15707))
% 119.46/119.27 [1571]~E(x15711,x15712)+E(f586(x15713,x15714,x15715,x15711,x15716,x15717),f586(x15713,x15714,x15715,x15712,x15716,x15717))
% 119.46/119.27 [1572]~E(x15721,x15722)+E(f586(x15723,x15724,x15725,x15726,x15721,x15727),f586(x15723,x15724,x15725,x15726,x15722,x15727))
% 119.46/119.27 [1573]~E(x15731,x15732)+E(f586(x15733,x15734,x15735,x15736,x15737,x15731),f586(x15733,x15734,x15735,x15736,x15737,x15732))
% 119.46/119.27 [1574]~E(x15741,x15742)+E(f796(x15741,x15743,x15744),f796(x15742,x15743,x15744))
% 119.46/119.27 [1575]~E(x15751,x15752)+E(f796(x15753,x15751,x15754),f796(x15753,x15752,x15754))
% 119.46/119.27 [1576]~E(x15761,x15762)+E(f796(x15763,x15764,x15761),f796(x15763,x15764,x15762))
% 119.46/119.27 [1577]~E(x15771,x15772)+E(f284(x15771,x15773,x15774),f284(x15772,x15773,x15774))
% 119.46/119.27 [1578]~E(x15781,x15782)+E(f284(x15783,x15781,x15784),f284(x15783,x15782,x15784))
% 119.46/119.27 [1579]~E(x15791,x15792)+E(f284(x15793,x15794,x15791),f284(x15793,x15794,x15792))
% 119.46/119.27 [1580]~E(x15801,x15802)+E(f709(x15801,x15803,x15804,x15805),f709(x15802,x15803,x15804,x15805))
% 119.46/119.27 [1581]~E(x15811,x15812)+E(f709(x15813,x15811,x15814,x15815),f709(x15813,x15812,x15814,x15815))
% 119.46/119.27 [1582]~E(x15821,x15822)+E(f709(x15823,x15824,x15821,x15825),f709(x15823,x15824,x15822,x15825))
% 119.46/119.27 [1583]~E(x15831,x15832)+E(f709(x15833,x15834,x15835,x15831),f709(x15833,x15834,x15835,x15832))
% 119.46/119.27 [1584]~E(x15841,x15842)+E(f233(x15841,x15843,x15844),f233(x15842,x15843,x15844))
% 119.46/119.27 [1585]~E(x15851,x15852)+E(f233(x15853,x15851,x15854),f233(x15853,x15852,x15854))
% 119.46/119.27 [1586]~E(x15861,x15862)+E(f233(x15863,x15864,x15861),f233(x15863,x15864,x15862))
% 119.46/119.27 [1587]~E(x15871,x15872)+E(f253(x15871,x15873,x15874),f253(x15872,x15873,x15874))
% 119.46/119.27 [1588]~E(x15881,x15882)+E(f253(x15883,x15881,x15884),f253(x15883,x15882,x15884))
% 119.46/119.27 [1589]~E(x15891,x15892)+E(f253(x15893,x15894,x15891),f253(x15893,x15894,x15892))
% 119.46/119.27 [1590]~E(x15901,x15902)+E(f814(x15901,x15903),f814(x15902,x15903))
% 119.46/119.27 [1591]~E(x15911,x15912)+E(f814(x15913,x15911),f814(x15913,x15912))
% 119.46/119.27 [1592]~E(x15921,x15922)+E(f692(x15921,x15923,x15924,x15925,x15926),f692(x15922,x15923,x15924,x15925,x15926))
% 119.46/119.27 [1593]~E(x15931,x15932)+E(f692(x15933,x15931,x15934,x15935,x15936),f692(x15933,x15932,x15934,x15935,x15936))
% 119.46/119.27 [1594]~E(x15941,x15942)+E(f692(x15943,x15944,x15941,x15945,x15946),f692(x15943,x15944,x15942,x15945,x15946))
% 119.46/119.27 [1595]~E(x15951,x15952)+E(f692(x15953,x15954,x15955,x15951,x15956),f692(x15953,x15954,x15955,x15952,x15956))
% 119.46/119.27 [1596]~E(x15961,x15962)+E(f692(x15963,x15964,x15965,x15966,x15961),f692(x15963,x15964,x15965,x15966,x15962))
% 119.46/119.27 [1597]~E(x15971,x15972)+E(f383(x15971,x15973,x15974,x15975),f383(x15972,x15973,x15974,x15975))
% 119.46/119.27 [1598]~E(x15981,x15982)+E(f383(x15983,x15981,x15984,x15985),f383(x15983,x15982,x15984,x15985))
% 119.46/119.27 [1599]~E(x15991,x15992)+E(f383(x15993,x15994,x15991,x15995),f383(x15993,x15994,x15992,x15995))
% 119.46/119.27 [1600]~E(x16001,x16002)+E(f383(x16003,x16004,x16005,x16001),f383(x16003,x16004,x16005,x16002))
% 119.46/119.27 [1601]~E(x16011,x16012)+E(f841(x16011,x16013),f841(x16012,x16013))
% 119.46/119.27 [1602]~E(x16021,x16022)+E(f841(x16023,x16021),f841(x16023,x16022))
% 119.46/119.27 [1603]~E(x16031,x16032)+E(f554(x16031,x16033),f554(x16032,x16033))
% 119.46/119.27 [1604]~E(x16041,x16042)+E(f554(x16043,x16041),f554(x16043,x16042))
% 119.46/119.27 [1605]~E(x16051,x16052)+E(f525(x16051,x16053,x16054,x16055,x16056),f525(x16052,x16053,x16054,x16055,x16056))
% 119.46/119.27 [1606]~E(x16061,x16062)+E(f525(x16063,x16061,x16064,x16065,x16066),f525(x16063,x16062,x16064,x16065,x16066))
% 119.46/119.27 [1607]~E(x16071,x16072)+E(f525(x16073,x16074,x16071,x16075,x16076),f525(x16073,x16074,x16072,x16075,x16076))
% 119.46/119.27 [1608]~E(x16081,x16082)+E(f525(x16083,x16084,x16085,x16081,x16086),f525(x16083,x16084,x16085,x16082,x16086))
% 119.46/119.27 [1609]~E(x16091,x16092)+E(f525(x16093,x16094,x16095,x16096,x16091),f525(x16093,x16094,x16095,x16096,x16092))
% 119.46/119.27 [1610]~E(x16101,x16102)+E(f801(x16101,x16103,x16104,x16105,x16106,x16107,x16108),f801(x16102,x16103,x16104,x16105,x16106,x16107,x16108))
% 119.46/119.27 [1611]~E(x16111,x16112)+E(f801(x16113,x16111,x16114,x16115,x16116,x16117,x16118),f801(x16113,x16112,x16114,x16115,x16116,x16117,x16118))
% 119.46/119.27 [1612]~E(x16121,x16122)+E(f801(x16123,x16124,x16121,x16125,x16126,x16127,x16128),f801(x16123,x16124,x16122,x16125,x16126,x16127,x16128))
% 119.46/119.27 [1613]~E(x16131,x16132)+E(f801(x16133,x16134,x16135,x16131,x16136,x16137,x16138),f801(x16133,x16134,x16135,x16132,x16136,x16137,x16138))
% 119.46/119.27 [1614]~E(x16141,x16142)+E(f801(x16143,x16144,x16145,x16146,x16141,x16147,x16148),f801(x16143,x16144,x16145,x16146,x16142,x16147,x16148))
% 119.46/119.27 [1615]~E(x16151,x16152)+E(f801(x16153,x16154,x16155,x16156,x16157,x16151,x16158),f801(x16153,x16154,x16155,x16156,x16157,x16152,x16158))
% 119.46/119.27 [1616]~E(x16161,x16162)+E(f801(x16163,x16164,x16165,x16166,x16167,x16168,x16161),f801(x16163,x16164,x16165,x16166,x16167,x16168,x16162))
% 119.46/119.27 [1617]~E(x16171,x16172)+E(f318(x16171),f318(x16172))
% 119.46/119.27 [1618]~E(x16181,x16182)+E(f838(x16181,x16183,x16184,x16185,x16186),f838(x16182,x16183,x16184,x16185,x16186))
% 119.46/119.27 [1619]~E(x16191,x16192)+E(f838(x16193,x16191,x16194,x16195,x16196),f838(x16193,x16192,x16194,x16195,x16196))
% 119.46/119.27 [1620]~E(x16201,x16202)+E(f838(x16203,x16204,x16201,x16205,x16206),f838(x16203,x16204,x16202,x16205,x16206))
% 119.46/119.27 [1621]~E(x16211,x16212)+E(f838(x16213,x16214,x16215,x16211,x16216),f838(x16213,x16214,x16215,x16212,x16216))
% 119.46/119.27 [1622]~E(x16221,x16222)+E(f838(x16223,x16224,x16225,x16226,x16221),f838(x16223,x16224,x16225,x16226,x16222))
% 119.46/119.27 [1623]~E(x16231,x16232)+E(f710(x16231,x16233,x16234,x16235),f710(x16232,x16233,x16234,x16235))
% 119.46/119.27 [1624]~E(x16241,x16242)+E(f710(x16243,x16241,x16244,x16245),f710(x16243,x16242,x16244,x16245))
% 119.46/119.27 [1625]~E(x16251,x16252)+E(f710(x16253,x16254,x16251,x16255),f710(x16253,x16254,x16252,x16255))
% 119.46/119.27 [1626]~E(x16261,x16262)+E(f710(x16263,x16264,x16265,x16261),f710(x16263,x16264,x16265,x16262))
% 119.46/119.27 [1627]~E(x16271,x16272)+E(f665(x16271,x16273),f665(x16272,x16273))
% 119.46/119.27 [1628]~E(x16281,x16282)+E(f665(x16283,x16281),f665(x16283,x16282))
% 119.46/119.27 [1629]~E(x16291,x16292)+E(f407(x16291,x16293),f407(x16292,x16293))
% 119.46/119.27 [1630]~E(x16301,x16302)+E(f407(x16303,x16301),f407(x16303,x16302))
% 119.46/119.27 [1631]~E(x16311,x16312)+E(f701(x16311,x16313,x16314),f701(x16312,x16313,x16314))
% 119.46/119.27 [1632]~E(x16321,x16322)+E(f701(x16323,x16321,x16324),f701(x16323,x16322,x16324))
% 119.46/119.27 [1633]~E(x16331,x16332)+E(f701(x16333,x16334,x16331),f701(x16333,x16334,x16332))
% 119.46/119.27 [1634]~E(x16341,x16342)+E(f487(x16341,x16343,x16344,x16345,x16346),f487(x16342,x16343,x16344,x16345,x16346))
% 119.46/119.27 [1635]~E(x16351,x16352)+E(f487(x16353,x16351,x16354,x16355,x16356),f487(x16353,x16352,x16354,x16355,x16356))
% 119.46/119.27 [1636]~E(x16361,x16362)+E(f487(x16363,x16364,x16361,x16365,x16366),f487(x16363,x16364,x16362,x16365,x16366))
% 119.46/119.27 [1637]~E(x16371,x16372)+E(f487(x16373,x16374,x16375,x16371,x16376),f487(x16373,x16374,x16375,x16372,x16376))
% 119.46/119.27 [1638]~E(x16381,x16382)+E(f487(x16383,x16384,x16385,x16386,x16381),f487(x16383,x16384,x16385,x16386,x16382))
% 119.46/119.27 [1639]~E(x16391,x16392)+E(f459(x16391,x16393,x16394,x16395,x16396,x16397,x16398),f459(x16392,x16393,x16394,x16395,x16396,x16397,x16398))
% 119.46/119.27 [1640]~E(x16401,x16402)+E(f459(x16403,x16401,x16404,x16405,x16406,x16407,x16408),f459(x16403,x16402,x16404,x16405,x16406,x16407,x16408))
% 119.46/119.27 [1641]~E(x16411,x16412)+E(f459(x16413,x16414,x16411,x16415,x16416,x16417,x16418),f459(x16413,x16414,x16412,x16415,x16416,x16417,x16418))
% 119.46/119.27 [1642]~E(x16421,x16422)+E(f459(x16423,x16424,x16425,x16421,x16426,x16427,x16428),f459(x16423,x16424,x16425,x16422,x16426,x16427,x16428))
% 119.46/119.27 [1643]~E(x16431,x16432)+E(f459(x16433,x16434,x16435,x16436,x16431,x16437,x16438),f459(x16433,x16434,x16435,x16436,x16432,x16437,x16438))
% 119.46/119.27 [1644]~E(x16441,x16442)+E(f459(x16443,x16444,x16445,x16446,x16447,x16441,x16448),f459(x16443,x16444,x16445,x16446,x16447,x16442,x16448))
% 119.46/119.27 [1645]~E(x16451,x16452)+E(f459(x16453,x16454,x16455,x16456,x16457,x16458,x16451),f459(x16453,x16454,x16455,x16456,x16457,x16458,x16452))
% 119.46/119.27 [1646]~E(x16461,x16462)+E(f726(x16461,x16463,x16464),f726(x16462,x16463,x16464))
% 119.46/119.27 [1647]~E(x16471,x16472)+E(f726(x16473,x16471,x16474),f726(x16473,x16472,x16474))
% 119.46/119.27 [1648]~E(x16481,x16482)+E(f726(x16483,x16484,x16481),f726(x16483,x16484,x16482))
% 119.46/119.27 [1649]~E(x16491,x16492)+E(f386(x16491,x16493,x16494,x16495,x16496,x16497,x16498),f386(x16492,x16493,x16494,x16495,x16496,x16497,x16498))
% 119.46/119.27 [1650]~E(x16501,x16502)+E(f386(x16503,x16501,x16504,x16505,x16506,x16507,x16508),f386(x16503,x16502,x16504,x16505,x16506,x16507,x16508))
% 119.46/119.27 [1651]~E(x16511,x16512)+E(f386(x16513,x16514,x16511,x16515,x16516,x16517,x16518),f386(x16513,x16514,x16512,x16515,x16516,x16517,x16518))
% 119.46/119.27 [1652]~E(x16521,x16522)+E(f386(x16523,x16524,x16525,x16521,x16526,x16527,x16528),f386(x16523,x16524,x16525,x16522,x16526,x16527,x16528))
% 119.46/119.27 [1653]~E(x16531,x16532)+E(f386(x16533,x16534,x16535,x16536,x16531,x16537,x16538),f386(x16533,x16534,x16535,x16536,x16532,x16537,x16538))
% 119.46/119.27 [1654]~E(x16541,x16542)+E(f386(x16543,x16544,x16545,x16546,x16547,x16541,x16548),f386(x16543,x16544,x16545,x16546,x16547,x16542,x16548))
% 119.46/119.27 [1655]~E(x16551,x16552)+E(f386(x16553,x16554,x16555,x16556,x16557,x16558,x16551),f386(x16553,x16554,x16555,x16556,x16557,x16558,x16552))
% 119.46/119.27 [1656]~E(x16561,x16562)+E(f373(x16561,x16563,x16564,x16565),f373(x16562,x16563,x16564,x16565))
% 119.46/119.27 [1657]~E(x16571,x16572)+E(f373(x16573,x16571,x16574,x16575),f373(x16573,x16572,x16574,x16575))
% 119.46/119.27 [1658]~E(x16581,x16582)+E(f373(x16583,x16584,x16581,x16585),f373(x16583,x16584,x16582,x16585))
% 119.46/119.27 [1659]~E(x16591,x16592)+E(f373(x16593,x16594,x16595,x16591),f373(x16593,x16594,x16595,x16592))
% 119.46/119.27 [1660]~E(x16601,x16602)+E(f803(x16601),f803(x16602))
% 119.46/119.27 [1661]~E(x16611,x16612)+E(f420(x16611,x16613,x16614),f420(x16612,x16613,x16614))
% 119.46/119.27 [1662]~E(x16621,x16622)+E(f420(x16623,x16621,x16624),f420(x16623,x16622,x16624))
% 119.46/119.27 [1663]~E(x16631,x16632)+E(f420(x16633,x16634,x16631),f420(x16633,x16634,x16632))
% 119.46/119.27 [1664]~E(x16641,x16642)+E(f694(x16641,x16643,x16644,x16645),f694(x16642,x16643,x16644,x16645))
% 119.46/119.27 [1665]~E(x16651,x16652)+E(f694(x16653,x16651,x16654,x16655),f694(x16653,x16652,x16654,x16655))
% 119.46/119.27 [1666]~E(x16661,x16662)+E(f694(x16663,x16664,x16661,x16665),f694(x16663,x16664,x16662,x16665))
% 119.46/119.27 [1667]~E(x16671,x16672)+E(f694(x16673,x16674,x16675,x16671),f694(x16673,x16674,x16675,x16672))
% 119.46/119.27 [1668]~E(x16681,x16682)+E(f425(x16681,x16683,x16684),f425(x16682,x16683,x16684))
% 119.46/119.27 [1669]~E(x16691,x16692)+E(f425(x16693,x16691,x16694),f425(x16693,x16692,x16694))
% 119.46/119.27 [1670]~E(x16701,x16702)+E(f425(x16703,x16704,x16701),f425(x16703,x16704,x16702))
% 119.46/119.27 [1671]~E(x16711,x16712)+E(f428(x16711,x16713,x16714),f428(x16712,x16713,x16714))
% 119.46/119.27 [1672]~E(x16721,x16722)+E(f428(x16723,x16721,x16724),f428(x16723,x16722,x16724))
% 119.46/119.27 [1673]~E(x16731,x16732)+E(f428(x16733,x16734,x16731),f428(x16733,x16734,x16732))
% 119.46/119.27 [1674]~E(x16741,x16742)+E(f398(x16741,x16743,x16744),f398(x16742,x16743,x16744))
% 119.46/119.27 [1675]~E(x16751,x16752)+E(f398(x16753,x16751,x16754),f398(x16753,x16752,x16754))
% 119.46/119.27 [1676]~E(x16761,x16762)+E(f398(x16763,x16764,x16761),f398(x16763,x16764,x16762))
% 119.46/119.27 [1677]~E(x16771,x16772)+E(f455(x16771,x16773,x16774),f455(x16772,x16773,x16774))
% 119.46/119.27 [1678]~E(x16781,x16782)+E(f455(x16783,x16781,x16784),f455(x16783,x16782,x16784))
% 119.46/119.27 [1679]~E(x16791,x16792)+E(f455(x16793,x16794,x16791),f455(x16793,x16794,x16792))
% 119.46/119.27 [1680]~E(x16801,x16802)+E(f597(x16801,x16803,x16804),f597(x16802,x16803,x16804))
% 119.46/119.27 [1681]~E(x16811,x16812)+E(f597(x16813,x16811,x16814),f597(x16813,x16812,x16814))
% 119.46/119.27 [1682]~E(x16821,x16822)+E(f597(x16823,x16824,x16821),f597(x16823,x16824,x16822))
% 119.46/119.27 [1683]~E(x16831,x16832)+E(f727(x16831,x16833,x16834),f727(x16832,x16833,x16834))
% 119.46/119.27 [1684]~E(x16841,x16842)+E(f727(x16843,x16841,x16844),f727(x16843,x16842,x16844))
% 119.46/119.27 [1685]~E(x16851,x16852)+E(f727(x16853,x16854,x16851),f727(x16853,x16854,x16852))
% 119.46/119.27 [1686]~E(x16861,x16862)+E(f457(x16861,x16863,x16864,x16865,x16866,x16867,x16868),f457(x16862,x16863,x16864,x16865,x16866,x16867,x16868))
% 119.46/119.27 [1687]~E(x16871,x16872)+E(f457(x16873,x16871,x16874,x16875,x16876,x16877,x16878),f457(x16873,x16872,x16874,x16875,x16876,x16877,x16878))
% 119.46/119.27 [1688]~E(x16881,x16882)+E(f457(x16883,x16884,x16881,x16885,x16886,x16887,x16888),f457(x16883,x16884,x16882,x16885,x16886,x16887,x16888))
% 119.46/119.27 [1689]~E(x16891,x16892)+E(f457(x16893,x16894,x16895,x16891,x16896,x16897,x16898),f457(x16893,x16894,x16895,x16892,x16896,x16897,x16898))
% 119.46/119.27 [1690]~E(x16901,x16902)+E(f457(x16903,x16904,x16905,x16906,x16901,x16907,x16908),f457(x16903,x16904,x16905,x16906,x16902,x16907,x16908))
% 119.46/119.27 [1691]~E(x16911,x16912)+E(f457(x16913,x16914,x16915,x16916,x16917,x16911,x16918),f457(x16913,x16914,x16915,x16916,x16917,x16912,x16918))
% 119.46/119.27 [1692]~E(x16921,x16922)+E(f457(x16923,x16924,x16925,x16926,x16927,x16928,x16921),f457(x16923,x16924,x16925,x16926,x16927,x16928,x16922))
% 119.46/119.27 [1693]~E(x16931,x16932)+E(f500(x16931,x16933,x16934),f500(x16932,x16933,x16934))
% 119.46/119.27 [1694]~E(x16941,x16942)+E(f500(x16943,x16941,x16944),f500(x16943,x16942,x16944))
% 119.46/119.27 [1695]~E(x16951,x16952)+E(f500(x16953,x16954,x16951),f500(x16953,x16954,x16952))
% 119.46/119.27 [1696]~E(x16961,x16962)+E(f510(x16961,x16963,x16964),f510(x16962,x16963,x16964))
% 119.46/119.27 [1697]~E(x16971,x16972)+E(f510(x16973,x16971,x16974),f510(x16973,x16972,x16974))
% 119.46/119.27 [1698]~E(x16981,x16982)+E(f510(x16983,x16984,x16981),f510(x16983,x16984,x16982))
% 119.46/119.27 [1699]~E(x16991,x16992)+E(f722(x16991,x16993),f722(x16992,x16993))
% 119.46/119.27 [1700]~E(x17001,x17002)+E(f722(x17003,x17001),f722(x17003,x17002))
% 119.46/119.27 [1701]~E(x17011,x17012)+E(f474(x17011,x17013),f474(x17012,x17013))
% 119.46/119.27 [1702]~E(x17021,x17022)+E(f474(x17023,x17021),f474(x17023,x17022))
% 119.46/119.27 [1703]~E(x17031,x17032)+E(f258(x17031,x17033),f258(x17032,x17033))
% 119.46/119.27 [1704]~E(x17041,x17042)+E(f258(x17043,x17041),f258(x17043,x17042))
% 119.46/119.27 [1705]~E(x17051,x17052)+E(f298(x17051,x17053),f298(x17052,x17053))
% 119.46/119.27 [1706]~E(x17061,x17062)+E(f298(x17063,x17061),f298(x17063,x17062))
% 119.46/119.27 [1707]~E(x17071,x17072)+E(f817(x17071,x17073),f817(x17072,x17073))
% 119.46/119.27 [1708]~E(x17081,x17082)+E(f817(x17083,x17081),f817(x17083,x17082))
% 119.46/119.27 [1709]~E(x17091,x17092)+E(f705(x17091,x17093,x17094),f705(x17092,x17093,x17094))
% 119.46/119.27 [1710]~E(x17101,x17102)+E(f705(x17103,x17101,x17104),f705(x17103,x17102,x17104))
% 119.46/119.27 [1711]~E(x17111,x17112)+E(f705(x17113,x17114,x17111),f705(x17113,x17114,x17112))
% 119.46/119.27 [1712]~E(x17121,x17122)+E(f623(x17121,x17123,x17124,x17125,x17126),f623(x17122,x17123,x17124,x17125,x17126))
% 119.46/119.27 [1713]~E(x17131,x17132)+E(f623(x17133,x17131,x17134,x17135,x17136),f623(x17133,x17132,x17134,x17135,x17136))
% 119.46/119.27 [1714]~E(x17141,x17142)+E(f623(x17143,x17144,x17141,x17145,x17146),f623(x17143,x17144,x17142,x17145,x17146))
% 119.46/119.27 [1715]~E(x17151,x17152)+E(f623(x17153,x17154,x17155,x17151,x17156),f623(x17153,x17154,x17155,x17152,x17156))
% 119.46/119.27 [1716]~E(x17161,x17162)+E(f623(x17163,x17164,x17165,x17166,x17161),f623(x17163,x17164,x17165,x17166,x17162))
% 119.46/119.27 [1717]~E(x17171,x17172)+E(f614(x17171,x17173,x17174,x17175,x17176),f614(x17172,x17173,x17174,x17175,x17176))
% 119.46/119.27 [1718]~E(x17181,x17182)+E(f614(x17183,x17181,x17184,x17185,x17186),f614(x17183,x17182,x17184,x17185,x17186))
% 119.46/119.27 [1719]~E(x17191,x17192)+E(f614(x17193,x17194,x17191,x17195,x17196),f614(x17193,x17194,x17192,x17195,x17196))
% 119.46/119.27 [1720]~E(x17201,x17202)+E(f614(x17203,x17204,x17205,x17201,x17206),f614(x17203,x17204,x17205,x17202,x17206))
% 119.46/119.27 [1721]~E(x17211,x17212)+E(f614(x17213,x17214,x17215,x17216,x17211),f614(x17213,x17214,x17215,x17216,x17212))
% 119.46/119.27 [1722]~E(x17221,x17222)+E(f521(x17221,x17223),f521(x17222,x17223))
% 119.46/119.27 [1723]~E(x17231,x17232)+E(f521(x17233,x17231),f521(x17233,x17232))
% 119.46/119.27 [1724]~E(x17241,x17242)+E(f334(x17241,x17243,x17244,x17245,x17246),f334(x17242,x17243,x17244,x17245,x17246))
% 119.46/119.27 [1725]~E(x17251,x17252)+E(f334(x17253,x17251,x17254,x17255,x17256),f334(x17253,x17252,x17254,x17255,x17256))
% 119.46/119.27 [1726]~E(x17261,x17262)+E(f334(x17263,x17264,x17261,x17265,x17266),f334(x17263,x17264,x17262,x17265,x17266))
% 119.46/119.27 [1727]~E(x17271,x17272)+E(f334(x17273,x17274,x17275,x17271,x17276),f334(x17273,x17274,x17275,x17272,x17276))
% 119.46/119.27 [1728]~E(x17281,x17282)+E(f334(x17283,x17284,x17285,x17286,x17281),f334(x17283,x17284,x17285,x17286,x17282))
% 119.46/119.27 [1729]~E(x17291,x17292)+E(f361(x17291,x17293),f361(x17292,x17293))
% 119.46/119.27 [1730]~E(x17301,x17302)+E(f361(x17303,x17301),f361(x17303,x17302))
% 119.46/119.27 [1731]~E(x17311,x17312)+E(f331(x17311,x17313,x17314,x17315),f331(x17312,x17313,x17314,x17315))
% 119.46/119.27 [1732]~E(x17321,x17322)+E(f331(x17323,x17321,x17324,x17325),f331(x17323,x17322,x17324,x17325))
% 119.46/119.27 [1733]~E(x17331,x17332)+E(f331(x17333,x17334,x17331,x17335),f331(x17333,x17334,x17332,x17335))
% 119.46/119.27 [1734]~E(x17341,x17342)+E(f331(x17343,x17344,x17345,x17341),f331(x17343,x17344,x17345,x17342))
% 119.46/119.27 [1735]~E(x17351,x17352)+E(f802(x17351,x17353,x17354),f802(x17352,x17353,x17354))
% 119.46/119.27 [1736]~E(x17361,x17362)+E(f802(x17363,x17361,x17364),f802(x17363,x17362,x17364))
% 119.46/119.27 [1737]~E(x17371,x17372)+E(f802(x17373,x17374,x17371),f802(x17373,x17374,x17372))
% 119.46/119.27 [1738]~E(x17381,x17382)+E(f851(x17381,x17383,x17384),f851(x17382,x17383,x17384))
% 119.46/119.27 [1739]~E(x17391,x17392)+E(f851(x17393,x17391,x17394),f851(x17393,x17392,x17394))
% 119.46/119.27 [1740]~E(x17401,x17402)+E(f851(x17403,x17404,x17401),f851(x17403,x17404,x17402))
% 119.46/119.27 [1741]~E(x17411,x17412)+E(f808(x17411,x17413),f808(x17412,x17413))
% 119.46/119.27 [1742]~E(x17421,x17422)+E(f808(x17423,x17421),f808(x17423,x17422))
% 119.46/119.27 [1743]~E(x17431,x17432)+E(f214(x17431,x17433,x17434,x17435,x17436),f214(x17432,x17433,x17434,x17435,x17436))
% 119.46/119.27 [1744]~E(x17441,x17442)+E(f214(x17443,x17441,x17444,x17445,x17446),f214(x17443,x17442,x17444,x17445,x17446))
% 119.46/119.27 [1745]~E(x17451,x17452)+E(f214(x17453,x17454,x17451,x17455,x17456),f214(x17453,x17454,x17452,x17455,x17456))
% 119.46/119.27 [1746]~E(x17461,x17462)+E(f214(x17463,x17464,x17465,x17461,x17466),f214(x17463,x17464,x17465,x17462,x17466))
% 119.46/119.27 [1747]~E(x17471,x17472)+E(f214(x17473,x17474,x17475,x17476,x17471),f214(x17473,x17474,x17475,x17476,x17472))
% 119.46/119.27 [1748]~E(x17481,x17482)+E(f878(x17481,x17483,x17484,x17485),f878(x17482,x17483,x17484,x17485))
% 119.46/119.27 [1749]~E(x17491,x17492)+E(f878(x17493,x17491,x17494,x17495),f878(x17493,x17492,x17494,x17495))
% 119.46/119.27 [1750]~E(x17501,x17502)+E(f878(x17503,x17504,x17501,x17505),f878(x17503,x17504,x17502,x17505))
% 119.46/119.27 [1751]~E(x17511,x17512)+E(f878(x17513,x17514,x17515,x17511),f878(x17513,x17514,x17515,x17512))
% 119.46/119.27 [1752]~E(x17521,x17522)+E(f721(x17521,x17523),f721(x17522,x17523))
% 119.46/119.27 [1753]~E(x17531,x17532)+E(f721(x17533,x17531),f721(x17533,x17532))
% 119.46/119.27 [1754]~E(x17541,x17542)+E(f358(x17541,x17543,x17544,x17545,x17546),f358(x17542,x17543,x17544,x17545,x17546))
% 119.46/119.27 [1755]~E(x17551,x17552)+E(f358(x17553,x17551,x17554,x17555,x17556),f358(x17553,x17552,x17554,x17555,x17556))
% 119.46/119.27 [1756]~E(x17561,x17562)+E(f358(x17563,x17564,x17561,x17565,x17566),f358(x17563,x17564,x17562,x17565,x17566))
% 119.46/119.27 [1757]~E(x17571,x17572)+E(f358(x17573,x17574,x17575,x17571,x17576),f358(x17573,x17574,x17575,x17572,x17576))
% 119.46/119.27 [1758]~E(x17581,x17582)+E(f358(x17583,x17584,x17585,x17586,x17581),f358(x17583,x17584,x17585,x17586,x17582))
% 119.46/119.27 [1759]~E(x17591,x17592)+E(f836(x17591,x17593,x17594),f836(x17592,x17593,x17594))
% 119.46/119.27 [1760]~E(x17601,x17602)+E(f836(x17603,x17601,x17604),f836(x17603,x17602,x17604))
% 119.46/119.27 [1761]~E(x17611,x17612)+E(f836(x17613,x17614,x17611),f836(x17613,x17614,x17612))
% 119.46/119.27 [1762]~E(x17621,x17622)+E(f259(x17621,x17623,x17624,x17625),f259(x17622,x17623,x17624,x17625))
% 119.46/119.27 [1763]~E(x17631,x17632)+E(f259(x17633,x17631,x17634,x17635),f259(x17633,x17632,x17634,x17635))
% 119.46/119.27 [1764]~E(x17641,x17642)+E(f259(x17643,x17644,x17641,x17645),f259(x17643,x17644,x17642,x17645))
% 119.46/119.27 [1765]~E(x17651,x17652)+E(f259(x17653,x17654,x17655,x17651),f259(x17653,x17654,x17655,x17652))
% 119.46/119.27 [1766]~E(x17661,x17662)+E(f780(x17661,x17663,x17664),f780(x17662,x17663,x17664))
% 119.46/119.27 [1767]~E(x17671,x17672)+E(f780(x17673,x17671,x17674),f780(x17673,x17672,x17674))
% 119.46/119.27 [1768]~E(x17681,x17682)+E(f780(x17683,x17684,x17681),f780(x17683,x17684,x17682))
% 119.46/119.27 [1769]~E(x17691,x17692)+E(f534(x17691,x17693,x17694,x17695,x17696,x17697),f534(x17692,x17693,x17694,x17695,x17696,x17697))
% 119.46/119.27 [1770]~E(x17701,x17702)+E(f534(x17703,x17701,x17704,x17705,x17706,x17707),f534(x17703,x17702,x17704,x17705,x17706,x17707))
% 119.46/119.27 [1771]~E(x17711,x17712)+E(f534(x17713,x17714,x17711,x17715,x17716,x17717),f534(x17713,x17714,x17712,x17715,x17716,x17717))
% 119.46/119.27 [1772]~E(x17721,x17722)+E(f534(x17723,x17724,x17725,x17721,x17726,x17727),f534(x17723,x17724,x17725,x17722,x17726,x17727))
% 119.46/119.27 [1773]~E(x17731,x17732)+E(f534(x17733,x17734,x17735,x17736,x17731,x17737),f534(x17733,x17734,x17735,x17736,x17732,x17737))
% 119.46/119.27 [1774]~E(x17741,x17742)+E(f534(x17743,x17744,x17745,x17746,x17747,x17741),f534(x17743,x17744,x17745,x17746,x17747,x17742))
% 119.46/119.27 [1775]~E(x17751,x17752)+E(f596(x17751,x17753,x17754,x17755,x17756,x17757),f596(x17752,x17753,x17754,x17755,x17756,x17757))
% 119.46/119.27 [1776]~E(x17761,x17762)+E(f596(x17763,x17761,x17764,x17765,x17766,x17767),f596(x17763,x17762,x17764,x17765,x17766,x17767))
% 119.46/119.27 [1777]~E(x17771,x17772)+E(f596(x17773,x17774,x17771,x17775,x17776,x17777),f596(x17773,x17774,x17772,x17775,x17776,x17777))
% 119.46/119.27 [1778]~E(x17781,x17782)+E(f596(x17783,x17784,x17785,x17781,x17786,x17787),f596(x17783,x17784,x17785,x17782,x17786,x17787))
% 119.46/119.27 [1779]~E(x17791,x17792)+E(f596(x17793,x17794,x17795,x17796,x17791,x17797),f596(x17793,x17794,x17795,x17796,x17792,x17797))
% 119.46/119.27 [1780]~E(x17801,x17802)+E(f596(x17803,x17804,x17805,x17806,x17807,x17801),f596(x17803,x17804,x17805,x17806,x17807,x17802))
% 119.46/119.27 [1781]~E(x17811,x17812)+E(f536(x17811,x17813),f536(x17812,x17813))
% 119.46/119.27 [1782]~E(x17821,x17822)+E(f536(x17823,x17821),f536(x17823,x17822))
% 119.46/119.27 [1783]~E(x17831,x17832)+E(f624(x17831,x17833,x17834,x17835,x17836),f624(x17832,x17833,x17834,x17835,x17836))
% 119.46/119.27 [1784]~E(x17841,x17842)+E(f624(x17843,x17841,x17844,x17845,x17846),f624(x17843,x17842,x17844,x17845,x17846))
% 119.46/119.27 [1785]~E(x17851,x17852)+E(f624(x17853,x17854,x17851,x17855,x17856),f624(x17853,x17854,x17852,x17855,x17856))
% 119.46/119.27 [1786]~E(x17861,x17862)+E(f624(x17863,x17864,x17865,x17861,x17866),f624(x17863,x17864,x17865,x17862,x17866))
% 119.46/119.27 [1787]~E(x17871,x17872)+E(f624(x17873,x17874,x17875,x17876,x17871),f624(x17873,x17874,x17875,x17876,x17872))
% 119.46/119.27 [1788]~E(x17881,x17882)+E(f777(x17881,x17883,x17884),f777(x17882,x17883,x17884))
% 119.46/119.27 [1789]~E(x17891,x17892)+E(f777(x17893,x17891,x17894),f777(x17893,x17892,x17894))
% 119.46/119.27 [1790]~E(x17901,x17902)+E(f777(x17903,x17904,x17901),f777(x17903,x17904,x17902))
% 119.46/119.27 [1791]~E(x17911,x17912)+E(f448(x17911,x17913,x17914,x17915,x17916),f448(x17912,x17913,x17914,x17915,x17916))
% 119.46/119.27 [1792]~E(x17921,x17922)+E(f448(x17923,x17921,x17924,x17925,x17926),f448(x17923,x17922,x17924,x17925,x17926))
% 119.46/119.27 [1793]~E(x17931,x17932)+E(f448(x17933,x17934,x17931,x17935,x17936),f448(x17933,x17934,x17932,x17935,x17936))
% 119.46/119.27 [1794]~E(x17941,x17942)+E(f448(x17943,x17944,x17945,x17941,x17946),f448(x17943,x17944,x17945,x17942,x17946))
% 119.46/119.27 [1795]~E(x17951,x17952)+E(f448(x17953,x17954,x17955,x17956,x17951),f448(x17953,x17954,x17955,x17956,x17952))
% 119.46/119.27 [1796]~E(x17961,x17962)+E(f702(x17961,x17963,x17964),f702(x17962,x17963,x17964))
% 119.46/119.27 [1797]~E(x17971,x17972)+E(f702(x17973,x17971,x17974),f702(x17973,x17972,x17974))
% 119.46/119.27 [1798]~E(x17981,x17982)+E(f702(x17983,x17984,x17981),f702(x17983,x17984,x17982))
% 119.46/119.27 [1799]~E(x17991,x17992)+E(f864(x17991,x17993,x17994),f864(x17992,x17993,x17994))
% 119.46/119.27 [1800]~E(x18001,x18002)+E(f864(x18003,x18001,x18004),f864(x18003,x18002,x18004))
% 119.46/119.27 [1801]~E(x18011,x18012)+E(f864(x18013,x18014,x18011),f864(x18013,x18014,x18012))
% 119.46/119.27 [1802]~E(x18021,x18022)+E(f340(x18021),f340(x18022))
% 119.46/119.27 [1803]~E(x18031,x18032)+E(f35(x18031),f35(x18032))
% 119.46/119.27 [1804]~E(x18041,x18042)+E(f527(x18041,x18043,x18044,x18045,x18046,x18047,x18048,x18049),f527(x18042,x18043,x18044,x18045,x18046,x18047,x18048,x18049))
% 119.46/119.27 [1805]~E(x18051,x18052)+E(f527(x18053,x18051,x18054,x18055,x18056,x18057,x18058,x18059),f527(x18053,x18052,x18054,x18055,x18056,x18057,x18058,x18059))
% 119.46/119.27 [1806]~E(x18061,x18062)+E(f527(x18063,x18064,x18061,x18065,x18066,x18067,x18068,x18069),f527(x18063,x18064,x18062,x18065,x18066,x18067,x18068,x18069))
% 119.46/119.27 [1807]~E(x18071,x18072)+E(f527(x18073,x18074,x18075,x18071,x18076,x18077,x18078,x18079),f527(x18073,x18074,x18075,x18072,x18076,x18077,x18078,x18079))
% 119.46/119.27 [1808]~E(x18081,x18082)+E(f527(x18083,x18084,x18085,x18086,x18081,x18087,x18088,x18089),f527(x18083,x18084,x18085,x18086,x18082,x18087,x18088,x18089))
% 119.46/119.27 [1809]~E(x18091,x18092)+E(f527(x18093,x18094,x18095,x18096,x18097,x18091,x18098,x18099),f527(x18093,x18094,x18095,x18096,x18097,x18092,x18098,x18099))
% 119.46/119.27 [1810]~E(x18101,x18102)+E(f527(x18103,x18104,x18105,x18106,x18107,x18108,x18101,x18109),f527(x18103,x18104,x18105,x18106,x18107,x18108,x18102,x18109))
% 119.46/119.27 [1811]~E(x18111,x18112)+E(f527(x18113,x18114,x18115,x18116,x18117,x18118,x18119,x18111),f527(x18113,x18114,x18115,x18116,x18117,x18118,x18119,x18112))
% 119.46/119.27 [1812]~E(x18121,x18122)+E(f759(x18121,x18123,x18124,x18125),f759(x18122,x18123,x18124,x18125))
% 119.46/119.27 [1813]~E(x18131,x18132)+E(f759(x18133,x18131,x18134,x18135),f759(x18133,x18132,x18134,x18135))
% 119.46/119.27 [1814]~E(x18141,x18142)+E(f759(x18143,x18144,x18141,x18145),f759(x18143,x18144,x18142,x18145))
% 119.46/119.27 [1815]~E(x18151,x18152)+E(f759(x18153,x18154,x18155,x18151),f759(x18153,x18154,x18155,x18152))
% 119.46/119.27 [1816]~E(x18161,x18162)+E(f200(x18161,x18163,x18164,x18165),f200(x18162,x18163,x18164,x18165))
% 119.46/119.27 [1817]~E(x18171,x18172)+E(f200(x18173,x18171,x18174,x18175),f200(x18173,x18172,x18174,x18175))
% 119.46/119.27 [1818]~E(x18181,x18182)+E(f200(x18183,x18184,x18181,x18185),f200(x18183,x18184,x18182,x18185))
% 119.46/119.27 [1819]~E(x18191,x18192)+E(f200(x18193,x18194,x18195,x18191),f200(x18193,x18194,x18195,x18192))
% 119.46/119.27 [1820]~E(x18201,x18202)+E(f180(x18201,x18203,x18204,x18205),f180(x18202,x18203,x18204,x18205))
% 119.46/119.27 [1821]~E(x18211,x18212)+E(f180(x18213,x18211,x18214,x18215),f180(x18213,x18212,x18214,x18215))
% 119.46/119.27 [1822]~E(x18221,x18222)+E(f180(x18223,x18224,x18221,x18225),f180(x18223,x18224,x18222,x18225))
% 119.46/119.27 [1823]~E(x18231,x18232)+E(f180(x18233,x18234,x18235,x18231),f180(x18233,x18234,x18235,x18232))
% 119.46/119.27 [1824]~E(x18241,x18242)+E(f389(x18241,x18243,x18244),f389(x18242,x18243,x18244))
% 119.46/119.27 [1825]~E(x18251,x18252)+E(f389(x18253,x18251,x18254),f389(x18253,x18252,x18254))
% 119.46/119.27 [1826]~E(x18261,x18262)+E(f389(x18263,x18264,x18261),f389(x18263,x18264,x18262))
% 119.46/119.27 [1827]~E(x18271,x18272)+E(f349(x18271,x18273,x18274,x18275),f349(x18272,x18273,x18274,x18275))
% 119.46/119.27 [1828]~E(x18281,x18282)+E(f349(x18283,x18281,x18284,x18285),f349(x18283,x18282,x18284,x18285))
% 119.46/119.27 [1829]~E(x18291,x18292)+E(f349(x18293,x18294,x18291,x18295),f349(x18293,x18294,x18292,x18295))
% 119.46/119.27 [1830]~E(x18301,x18302)+E(f349(x18303,x18304,x18305,x18301),f349(x18303,x18304,x18305,x18302))
% 119.46/119.27 [1831]~E(x18311,x18312)+E(f622(x18311,x18313,x18314,x18315),f622(x18312,x18313,x18314,x18315))
% 119.46/119.27 [1832]~E(x18321,x18322)+E(f622(x18323,x18321,x18324,x18325),f622(x18323,x18322,x18324,x18325))
% 119.46/119.27 [1833]~E(x18331,x18332)+E(f622(x18333,x18334,x18331,x18335),f622(x18333,x18334,x18332,x18335))
% 119.46/119.27 [1834]~E(x18341,x18342)+E(f622(x18343,x18344,x18345,x18341),f622(x18343,x18344,x18345,x18342))
% 119.46/119.27 [1835]~E(x18351,x18352)+E(f281(x18351,x18353,x18354),f281(x18352,x18353,x18354))
% 119.46/119.27 [1836]~E(x18361,x18362)+E(f281(x18363,x18361,x18364),f281(x18363,x18362,x18364))
% 119.46/119.27 [1837]~E(x18371,x18372)+E(f281(x18373,x18374,x18371),f281(x18373,x18374,x18372))
% 119.46/119.27 [1838]~E(x18381,x18382)+E(f215(x18381,x18383,x18384,x18385,x18386),f215(x18382,x18383,x18384,x18385,x18386))
% 119.46/119.27 [1839]~E(x18391,x18392)+E(f215(x18393,x18391,x18394,x18395,x18396),f215(x18393,x18392,x18394,x18395,x18396))
% 119.46/119.27 [1840]~E(x18401,x18402)+E(f215(x18403,x18404,x18401,x18405,x18406),f215(x18403,x18404,x18402,x18405,x18406))
% 119.46/119.27 [1841]~E(x18411,x18412)+E(f215(x18413,x18414,x18415,x18411,x18416),f215(x18413,x18414,x18415,x18412,x18416))
% 119.46/119.27 [1842]~E(x18421,x18422)+E(f215(x18423,x18424,x18425,x18426,x18421),f215(x18423,x18424,x18425,x18426,x18422))
% 119.46/119.27 [1843]~E(x18431,x18432)+E(f569(x18431,x18433),f569(x18432,x18433))
% 119.46/119.27 [1844]~E(x18441,x18442)+E(f569(x18443,x18441),f569(x18443,x18442))
% 119.46/119.27 [1845]~E(x18451,x18452)+E(f859(x18451,x18453,x18454),f859(x18452,x18453,x18454))
% 119.46/119.27 [1846]~E(x18461,x18462)+E(f859(x18463,x18461,x18464),f859(x18463,x18462,x18464))
% 119.46/119.27 [1847]~E(x18471,x18472)+E(f859(x18473,x18474,x18471),f859(x18473,x18474,x18472))
% 119.46/119.27 [1848]~E(x18481,x18482)+E(f364(x18481,x18483,x18484),f364(x18482,x18483,x18484))
% 119.46/119.27 [1849]~E(x18491,x18492)+E(f364(x18493,x18491,x18494),f364(x18493,x18492,x18494))
% 119.46/119.27 [1850]~E(x18501,x18502)+E(f364(x18503,x18504,x18501),f364(x18503,x18504,x18502))
% 119.46/119.27 [1851]~E(x18511,x18512)+E(f843(x18511,x18513,x18514),f843(x18512,x18513,x18514))
% 119.46/119.27 [1852]~E(x18521,x18522)+E(f843(x18523,x18521,x18524),f843(x18523,x18522,x18524))
% 119.46/119.27 [1853]~E(x18531,x18532)+E(f843(x18533,x18534,x18531),f843(x18533,x18534,x18532))
% 119.46/119.27 [1854]~E(x18541,x18542)+E(f590(x18541,x18543,x18544,x18545),f590(x18542,x18543,x18544,x18545))
% 119.46/119.27 [1855]~E(x18551,x18552)+E(f590(x18553,x18551,x18554,x18555),f590(x18553,x18552,x18554,x18555))
% 119.46/119.27 [1856]~E(x18561,x18562)+E(f590(x18563,x18564,x18561,x18565),f590(x18563,x18564,x18562,x18565))
% 119.46/119.27 [1857]~E(x18571,x18572)+E(f590(x18573,x18574,x18575,x18571),f590(x18573,x18574,x18575,x18572))
% 119.46/119.27 [1858]~E(x18581,x18582)+E(f723(x18581,x18583),f723(x18582,x18583))
% 119.46/119.27 [1859]~E(x18591,x18592)+E(f723(x18593,x18591),f723(x18593,x18592))
% 119.46/119.27 [1860]~E(x18601,x18602)+E(f754(x18601,x18603),f754(x18602,x18603))
% 119.46/119.27 [1861]~E(x18611,x18612)+E(f754(x18613,x18611),f754(x18613,x18612))
% 119.46/119.27 [1862]~E(x18621,x18622)+E(f786(x18621,x18623,x18624,x18625),f786(x18622,x18623,x18624,x18625))
% 119.46/119.27 [1863]~E(x18631,x18632)+E(f786(x18633,x18631,x18634,x18635),f786(x18633,x18632,x18634,x18635))
% 119.46/119.27 [1864]~E(x18641,x18642)+E(f786(x18643,x18644,x18641,x18645),f786(x18643,x18644,x18642,x18645))
% 119.46/119.27 [1865]~E(x18651,x18652)+E(f786(x18653,x18654,x18655,x18651),f786(x18653,x18654,x18655,x18652))
% 119.46/119.27 [1866]~E(x18661,x18662)+E(f557(x18661,x18663,x18664,x18665),f557(x18662,x18663,x18664,x18665))
% 119.46/119.27 [1867]~E(x18671,x18672)+E(f557(x18673,x18671,x18674,x18675),f557(x18673,x18672,x18674,x18675))
% 119.46/119.27 [1868]~E(x18681,x18682)+E(f557(x18683,x18684,x18681,x18685),f557(x18683,x18684,x18682,x18685))
% 119.46/119.27 [1869]~E(x18691,x18692)+E(f557(x18693,x18694,x18695,x18691),f557(x18693,x18694,x18695,x18692))
% 119.46/119.27 [1870]~E(x18701,x18702)+E(f192(x18701,x18703),f192(x18702,x18703))
% 119.46/119.27 [1871]~E(x18711,x18712)+E(f192(x18713,x18711),f192(x18713,x18712))
% 119.46/119.27 [1872]~E(x18721,x18722)+E(f375(x18721,x18723,x18724),f375(x18722,x18723,x18724))
% 119.46/119.27 [1873]~E(x18731,x18732)+E(f375(x18733,x18731,x18734),f375(x18733,x18732,x18734))
% 119.46/119.27 [1874]~E(x18741,x18742)+E(f375(x18743,x18744,x18741),f375(x18743,x18744,x18742))
% 119.46/119.27 [1875]~E(x18751,x18752)+E(f184(x18751,x18753),f184(x18752,x18753))
% 119.46/119.27 [1876]~E(x18761,x18762)+E(f184(x18763,x18761),f184(x18763,x18762))
% 119.46/119.27 [1877]~E(x18771,x18772)+E(f618(x18771,x18773,x18774,x18775,x18776),f618(x18772,x18773,x18774,x18775,x18776))
% 119.46/119.27 [1878]~E(x18781,x18782)+E(f618(x18783,x18781,x18784,x18785,x18786),f618(x18783,x18782,x18784,x18785,x18786))
% 119.46/119.27 [1879]~E(x18791,x18792)+E(f618(x18793,x18794,x18791,x18795,x18796),f618(x18793,x18794,x18792,x18795,x18796))
% 119.46/119.27 [1880]~E(x18801,x18802)+E(f618(x18803,x18804,x18805,x18801,x18806),f618(x18803,x18804,x18805,x18802,x18806))
% 119.46/119.27 [1881]~E(x18811,x18812)+E(f618(x18813,x18814,x18815,x18816,x18811),f618(x18813,x18814,x18815,x18816,x18812))
% 119.46/119.27 [1882]~E(x18821,x18822)+E(f499(x18821,x18823,x18824,x18825,x18826),f499(x18822,x18823,x18824,x18825,x18826))
% 119.46/119.27 [1883]~E(x18831,x18832)+E(f499(x18833,x18831,x18834,x18835,x18836),f499(x18833,x18832,x18834,x18835,x18836))
% 119.46/119.27 [1884]~E(x18841,x18842)+E(f499(x18843,x18844,x18841,x18845,x18846),f499(x18843,x18844,x18842,x18845,x18846))
% 119.46/119.27 [1885]~E(x18851,x18852)+E(f499(x18853,x18854,x18855,x18851,x18856),f499(x18853,x18854,x18855,x18852,x18856))
% 119.46/119.27 [1886]~E(x18861,x18862)+E(f499(x18863,x18864,x18865,x18866,x18861),f499(x18863,x18864,x18865,x18866,x18862))
% 119.46/119.27 [1887]~E(x18871,x18872)+E(f515(x18871,x18873,x18874),f515(x18872,x18873,x18874))
% 119.46/119.27 [1888]~E(x18881,x18882)+E(f515(x18883,x18881,x18884),f515(x18883,x18882,x18884))
% 119.46/119.27 [1889]~E(x18891,x18892)+E(f515(x18893,x18894,x18891),f515(x18893,x18894,x18892))
% 119.46/119.27 [1890]~E(x18901,x18902)+E(f236(x18901,x18903),f236(x18902,x18903))
% 119.46/119.27 [1891]~E(x18911,x18912)+E(f236(x18913,x18911),f236(x18913,x18912))
% 119.46/119.27 [1892]~E(x18921,x18922)+E(f546(x18921,x18923,x18924,x18925,x18926),f546(x18922,x18923,x18924,x18925,x18926))
% 119.46/119.27 [1893]~E(x18931,x18932)+E(f546(x18933,x18931,x18934,x18935,x18936),f546(x18933,x18932,x18934,x18935,x18936))
% 119.46/119.27 [1894]~E(x18941,x18942)+E(f546(x18943,x18944,x18941,x18945,x18946),f546(x18943,x18944,x18942,x18945,x18946))
% 119.46/119.27 [1895]~E(x18951,x18952)+E(f546(x18953,x18954,x18955,x18951,x18956),f546(x18953,x18954,x18955,x18952,x18956))
% 119.46/119.27 [1896]~E(x18961,x18962)+E(f546(x18963,x18964,x18965,x18966,x18961),f546(x18963,x18964,x18965,x18966,x18962))
% 119.46/119.27 [1897]~E(x18971,x18972)+E(f216(x18971,x18973,x18974,x18975,x18976),f216(x18972,x18973,x18974,x18975,x18976))
% 119.46/119.27 [1898]~E(x18981,x18982)+E(f216(x18983,x18981,x18984,x18985,x18986),f216(x18983,x18982,x18984,x18985,x18986))
% 119.46/119.27 [1899]~E(x18991,x18992)+E(f216(x18993,x18994,x18991,x18995,x18996),f216(x18993,x18994,x18992,x18995,x18996))
% 119.46/119.27 [1900]~E(x19001,x19002)+E(f216(x19003,x19004,x19005,x19001,x19006),f216(x19003,x19004,x19005,x19002,x19006))
% 119.46/119.27 [1901]~E(x19011,x19012)+E(f216(x19013,x19014,x19015,x19016,x19011),f216(x19013,x19014,x19015,x19016,x19012))
% 119.46/119.27 [1902]~E(x19021,x19022)+E(f492(x19021,x19023,x19024,x19025,x19026),f492(x19022,x19023,x19024,x19025,x19026))
% 119.46/119.27 [1903]~E(x19031,x19032)+E(f492(x19033,x19031,x19034,x19035,x19036),f492(x19033,x19032,x19034,x19035,x19036))
% 119.46/119.27 [1904]~E(x19041,x19042)+E(f492(x19043,x19044,x19041,x19045,x19046),f492(x19043,x19044,x19042,x19045,x19046))
% 119.46/119.27 [1905]~E(x19051,x19052)+E(f492(x19053,x19054,x19055,x19051,x19056),f492(x19053,x19054,x19055,x19052,x19056))
% 119.46/119.27 [1906]~E(x19061,x19062)+E(f492(x19063,x19064,x19065,x19066,x19061),f492(x19063,x19064,x19065,x19066,x19062))
% 119.46/119.27 [1907]~E(x19071,x19072)+E(f558(x19071,x19073,x19074,x19075),f558(x19072,x19073,x19074,x19075))
% 119.46/119.27 [1908]~E(x19081,x19082)+E(f558(x19083,x19081,x19084,x19085),f558(x19083,x19082,x19084,x19085))
% 119.46/119.27 [1909]~E(x19091,x19092)+E(f558(x19093,x19094,x19091,x19095),f558(x19093,x19094,x19092,x19095))
% 119.46/119.27 [1910]~E(x19101,x19102)+E(f558(x19103,x19104,x19105,x19101),f558(x19103,x19104,x19105,x19102))
% 119.46/119.27 [1911]~E(x19111,x19112)+E(f753(x19111,x19113,x19114),f753(x19112,x19113,x19114))
% 119.46/119.27 [1912]~E(x19121,x19122)+E(f753(x19123,x19121,x19124),f753(x19123,x19122,x19124))
% 119.46/119.27 [1913]~E(x19131,x19132)+E(f753(x19133,x19134,x19131),f753(x19133,x19134,x19132))
% 119.46/119.27 [1914]~E(x19141,x19142)+E(f688(x19141,x19143,x19144,x19145,x19146),f688(x19142,x19143,x19144,x19145,x19146))
% 119.46/119.27 [1915]~E(x19151,x19152)+E(f688(x19153,x19151,x19154,x19155,x19156),f688(x19153,x19152,x19154,x19155,x19156))
% 119.46/119.27 [1916]~E(x19161,x19162)+E(f688(x19163,x19164,x19161,x19165,x19166),f688(x19163,x19164,x19162,x19165,x19166))
% 119.46/119.27 [1917]~E(x19171,x19172)+E(f688(x19173,x19174,x19175,x19171,x19176),f688(x19173,x19174,x19175,x19172,x19176))
% 119.46/119.27 [1918]~E(x19181,x19182)+E(f688(x19183,x19184,x19185,x19186,x19181),f688(x19183,x19184,x19185,x19186,x19182))
% 119.46/119.27 [1919]~E(x19191,x19192)+E(f507(x19191,x19193,x19194),f507(x19192,x19193,x19194))
% 119.46/119.27 [1920]~E(x19201,x19202)+E(f507(x19203,x19201,x19204),f507(x19203,x19202,x19204))
% 119.46/119.27 [1921]~E(x19211,x19212)+E(f507(x19213,x19214,x19211),f507(x19213,x19214,x19212))
% 119.46/119.27 [1922]~E(x19221,x19222)+E(f757(x19221,x19223,x19224),f757(x19222,x19223,x19224))
% 119.46/119.27 [1923]~E(x19231,x19232)+E(f757(x19233,x19231,x19234),f757(x19233,x19232,x19234))
% 119.46/119.27 [1924]~E(x19241,x19242)+E(f757(x19243,x19244,x19241),f757(x19243,x19244,x19242))
% 119.46/119.27 [1925]~E(x19251,x19252)+E(f565(x19251),f565(x19252))
% 119.46/119.27 [1926]~E(x19261,x19262)+E(f588(x19261,x19263,x19264),f588(x19262,x19263,x19264))
% 119.46/119.27 [1927]~E(x19271,x19272)+E(f588(x19273,x19271,x19274),f588(x19273,x19272,x19274))
% 119.46/119.27 [1928]~E(x19281,x19282)+E(f588(x19283,x19284,x19281),f588(x19283,x19284,x19282))
% 119.46/119.27 [1929]~E(x19291,x19292)+E(f767(x19291,x19293,x19294,x19295,x19296,x19297,x19298),f767(x19292,x19293,x19294,x19295,x19296,x19297,x19298))
% 119.46/119.27 [1930]~E(x19301,x19302)+E(f767(x19303,x19301,x19304,x19305,x19306,x19307,x19308),f767(x19303,x19302,x19304,x19305,x19306,x19307,x19308))
% 119.46/119.27 [1931]~E(x19311,x19312)+E(f767(x19313,x19314,x19311,x19315,x19316,x19317,x19318),f767(x19313,x19314,x19312,x19315,x19316,x19317,x19318))
% 119.46/119.27 [1932]~E(x19321,x19322)+E(f767(x19323,x19324,x19325,x19321,x19326,x19327,x19328),f767(x19323,x19324,x19325,x19322,x19326,x19327,x19328))
% 119.46/119.27 [1933]~E(x19331,x19332)+E(f767(x19333,x19334,x19335,x19336,x19331,x19337,x19338),f767(x19333,x19334,x19335,x19336,x19332,x19337,x19338))
% 119.46/119.27 [1934]~E(x19341,x19342)+E(f767(x19343,x19344,x19345,x19346,x19347,x19341,x19348),f767(x19343,x19344,x19345,x19346,x19347,x19342,x19348))
% 119.46/119.27 [1935]~E(x19351,x19352)+E(f767(x19353,x19354,x19355,x19356,x19357,x19358,x19351),f767(x19353,x19354,x19355,x19356,x19357,x19358,x19352))
% 119.46/119.27 [1936]~E(x19361,x19362)+E(f543(x19361,x19363,x19364,x19365),f543(x19362,x19363,x19364,x19365))
% 119.46/119.27 [1937]~E(x19371,x19372)+E(f543(x19373,x19371,x19374,x19375),f543(x19373,x19372,x19374,x19375))
% 119.46/119.27 [1938]~E(x19381,x19382)+E(f543(x19383,x19384,x19381,x19385),f543(x19383,x19384,x19382,x19385))
% 119.46/119.27 [1939]~E(x19391,x19392)+E(f543(x19393,x19394,x19395,x19391),f543(x19393,x19394,x19395,x19392))
% 119.46/119.27 [1940]~E(x19401,x19402)+E(f762(x19401,x19403,x19404,x19405,x19406),f762(x19402,x19403,x19404,x19405,x19406))
% 119.46/119.27 [1941]~E(x19411,x19412)+E(f762(x19413,x19411,x19414,x19415,x19416),f762(x19413,x19412,x19414,x19415,x19416))
% 119.46/119.27 [1942]~E(x19421,x19422)+E(f762(x19423,x19424,x19421,x19425,x19426),f762(x19423,x19424,x19422,x19425,x19426))
% 119.46/119.27 [1943]~E(x19431,x19432)+E(f762(x19433,x19434,x19435,x19431,x19436),f762(x19433,x19434,x19435,x19432,x19436))
% 119.46/119.27 [1944]~E(x19441,x19442)+E(f762(x19443,x19444,x19445,x19446,x19441),f762(x19443,x19444,x19445,x19446,x19442))
% 119.46/119.27 [1945]~E(x19451,x19452)+E(f365(x19451,x19453,x19454),f365(x19452,x19453,x19454))
% 119.46/119.27 [1946]~E(x19461,x19462)+E(f365(x19463,x19461,x19464),f365(x19463,x19462,x19464))
% 119.46/119.27 [1947]~E(x19471,x19472)+E(f365(x19473,x19474,x19471),f365(x19473,x19474,x19472))
% 119.46/119.27 [1948]~E(x19481,x19482)+E(f372(x19481,x19483,x19484,x19485,x19486),f372(x19482,x19483,x19484,x19485,x19486))
% 119.46/119.27 [1949]~E(x19491,x19492)+E(f372(x19493,x19491,x19494,x19495,x19496),f372(x19493,x19492,x19494,x19495,x19496))
% 119.46/119.27 [1950]~E(x19501,x19502)+E(f372(x19503,x19504,x19501,x19505,x19506),f372(x19503,x19504,x19502,x19505,x19506))
% 119.46/119.27 [1951]~E(x19511,x19512)+E(f372(x19513,x19514,x19515,x19511,x19516),f372(x19513,x19514,x19515,x19512,x19516))
% 119.46/119.27 [1952]~E(x19521,x19522)+E(f372(x19523,x19524,x19525,x19526,x19521),f372(x19523,x19524,x19525,x19526,x19522))
% 119.46/119.27 [1953]~E(x19531,x19532)+E(f439(x19531,x19533,x19534,x19535,x19536),f439(x19532,x19533,x19534,x19535,x19536))
% 119.46/119.27 [1954]~E(x19541,x19542)+E(f439(x19543,x19541,x19544,x19545,x19546),f439(x19543,x19542,x19544,x19545,x19546))
% 119.46/119.27 [1955]~E(x19551,x19552)+E(f439(x19553,x19554,x19551,x19555,x19556),f439(x19553,x19554,x19552,x19555,x19556))
% 119.46/119.27 [1956]~E(x19561,x19562)+E(f439(x19563,x19564,x19565,x19561,x19566),f439(x19563,x19564,x19565,x19562,x19566))
% 119.46/119.27 [1957]~E(x19571,x19572)+E(f439(x19573,x19574,x19575,x19576,x19571),f439(x19573,x19574,x19575,x19576,x19572))
% 119.46/119.27 [1958]~E(x19581,x19582)+E(f646(x19581,x19583,x19584,x19585),f646(x19582,x19583,x19584,x19585))
% 119.46/119.27 [1959]~E(x19591,x19592)+E(f646(x19593,x19591,x19594,x19595),f646(x19593,x19592,x19594,x19595))
% 119.46/119.27 [1960]~E(x19601,x19602)+E(f646(x19603,x19604,x19601,x19605),f646(x19603,x19604,x19602,x19605))
% 119.46/119.27 [1961]~E(x19611,x19612)+E(f646(x19613,x19614,x19615,x19611),f646(x19613,x19614,x19615,x19612))
% 119.46/119.27 [1962]~E(x19621,x19622)+E(f394(x19621,x19623,x19624,x19625),f394(x19622,x19623,x19624,x19625))
% 119.46/119.27 [1963]~E(x19631,x19632)+E(f394(x19633,x19631,x19634,x19635),f394(x19633,x19632,x19634,x19635))
% 119.46/119.27 [1964]~E(x19641,x19642)+E(f394(x19643,x19644,x19641,x19645),f394(x19643,x19644,x19642,x19645))
% 119.46/119.27 [1965]~E(x19651,x19652)+E(f394(x19653,x19654,x19655,x19651),f394(x19653,x19654,x19655,x19652))
% 119.46/119.27 [1966]~E(x19661,x19662)+E(f785(x19661,x19663,x19664),f785(x19662,x19663,x19664))
% 119.46/119.27 [1967]~E(x19671,x19672)+E(f785(x19673,x19671,x19674),f785(x19673,x19672,x19674))
% 119.46/119.27 [1968]~E(x19681,x19682)+E(f785(x19683,x19684,x19681),f785(x19683,x19684,x19682))
% 119.46/119.27 [1969]~E(x19691,x19692)+E(f479(x19691,x19693,x19694,x19695),f479(x19692,x19693,x19694,x19695))
% 119.46/119.27 [1970]~E(x19701,x19702)+E(f479(x19703,x19701,x19704,x19705),f479(x19703,x19702,x19704,x19705))
% 119.46/119.27 [1971]~E(x19711,x19712)+E(f479(x19713,x19714,x19711,x19715),f479(x19713,x19714,x19712,x19715))
% 119.46/119.27 [1972]~E(x19721,x19722)+E(f479(x19723,x19724,x19725,x19721),f479(x19723,x19724,x19725,x19722))
% 119.46/119.27 [1973]~E(x19731,x19732)+E(f820(x19731,x19733,x19734),f820(x19732,x19733,x19734))
% 119.46/119.27 [1974]~E(x19741,x19742)+E(f820(x19743,x19741,x19744),f820(x19743,x19742,x19744))
% 119.46/119.27 [1975]~E(x19751,x19752)+E(f820(x19753,x19754,x19751),f820(x19753,x19754,x19752))
% 119.46/119.27 [1976]~E(x19761,x19762)+E(f379(x19761,x19763,x19764,x19765,x19766),f379(x19762,x19763,x19764,x19765,x19766))
% 119.46/119.27 [1977]~E(x19771,x19772)+E(f379(x19773,x19771,x19774,x19775,x19776),f379(x19773,x19772,x19774,x19775,x19776))
% 119.46/119.27 [1978]~E(x19781,x19782)+E(f379(x19783,x19784,x19781,x19785,x19786),f379(x19783,x19784,x19782,x19785,x19786))
% 119.46/119.27 [1979]~E(x19791,x19792)+E(f379(x19793,x19794,x19795,x19791,x19796),f379(x19793,x19794,x19795,x19792,x19796))
% 119.46/119.27 [1980]~E(x19801,x19802)+E(f379(x19803,x19804,x19805,x19806,x19801),f379(x19803,x19804,x19805,x19806,x19802))
% 119.46/119.27 [1981]~E(x19811,x19812)+E(f868(x19811,x19813),f868(x19812,x19813))
% 119.46/119.27 [1982]~E(x19821,x19822)+E(f868(x19823,x19821),f868(x19823,x19822))
% 119.46/119.27 [1983]~E(x19831,x19832)+E(f333(x19831,x19833,x19834,x19835,x19836),f333(x19832,x19833,x19834,x19835,x19836))
% 119.46/119.27 [1984]~E(x19841,x19842)+E(f333(x19843,x19841,x19844,x19845,x19846),f333(x19843,x19842,x19844,x19845,x19846))
% 119.46/119.27 [1985]~E(x19851,x19852)+E(f333(x19853,x19854,x19851,x19855,x19856),f333(x19853,x19854,x19852,x19855,x19856))
% 119.46/119.27 [1986]~E(x19861,x19862)+E(f333(x19863,x19864,x19865,x19861,x19866),f333(x19863,x19864,x19865,x19862,x19866))
% 119.46/119.27 [1987]~E(x19871,x19872)+E(f333(x19873,x19874,x19875,x19876,x19871),f333(x19873,x19874,x19875,x19876,x19872))
% 119.46/119.27 [1988]~E(x19881,x19882)+E(f535(x19881,x19883,x19884,x19885,x19886,x19887,x19888),f535(x19882,x19883,x19884,x19885,x19886,x19887,x19888))
% 119.46/119.27 [1989]~E(x19891,x19892)+E(f535(x19893,x19891,x19894,x19895,x19896,x19897,x19898),f535(x19893,x19892,x19894,x19895,x19896,x19897,x19898))
% 119.46/119.27 [1990]~E(x19901,x19902)+E(f535(x19903,x19904,x19901,x19905,x19906,x19907,x19908),f535(x19903,x19904,x19902,x19905,x19906,x19907,x19908))
% 119.46/119.27 [1991]~E(x19911,x19912)+E(f535(x19913,x19914,x19915,x19911,x19916,x19917,x19918),f535(x19913,x19914,x19915,x19912,x19916,x19917,x19918))
% 119.46/119.27 [1992]~E(x19921,x19922)+E(f535(x19923,x19924,x19925,x19926,x19921,x19927,x19928),f535(x19923,x19924,x19925,x19926,x19922,x19927,x19928))
% 119.46/119.27 [1993]~E(x19931,x19932)+E(f535(x19933,x19934,x19935,x19936,x19937,x19931,x19938),f535(x19933,x19934,x19935,x19936,x19937,x19932,x19938))
% 119.46/119.27 [1994]~E(x19941,x19942)+E(f535(x19943,x19944,x19945,x19946,x19947,x19948,x19941),f535(x19943,x19944,x19945,x19946,x19947,x19948,x19942))
% 119.46/119.27 [1995]~E(x19951,x19952)+E(f408(x19951,x19953),f408(x19952,x19953))
% 119.46/119.27 [1996]~E(x19961,x19962)+E(f408(x19963,x19961),f408(x19963,x19962))
% 119.46/119.27 [1997]~E(x19971,x19972)+E(f403(x19971,x19973,x19974,x19975,x19976),f403(x19972,x19973,x19974,x19975,x19976))
% 119.46/119.27 [1998]~E(x19981,x19982)+E(f403(x19983,x19981,x19984,x19985,x19986),f403(x19983,x19982,x19984,x19985,x19986))
% 119.46/119.27 [1999]~E(x19991,x19992)+E(f403(x19993,x19994,x19991,x19995,x19996),f403(x19993,x19994,x19992,x19995,x19996))
% 119.46/119.27 [2000]~E(x20001,x20002)+E(f403(x20003,x20004,x20005,x20001,x20006),f403(x20003,x20004,x20005,x20002,x20006))
% 119.46/119.27 [2001]~E(x20011,x20012)+E(f403(x20013,x20014,x20015,x20016,x20011),f403(x20013,x20014,x20015,x20016,x20012))
% 119.46/119.27 [2002]~E(x20021,x20022)+E(f410(x20021,x20023),f410(x20022,x20023))
% 119.46/119.27 [2003]~E(x20031,x20032)+E(f410(x20033,x20031),f410(x20033,x20032))
% 119.46/119.27 [2004]~E(x20041,x20042)+E(f797(x20041,x20043,x20044),f797(x20042,x20043,x20044))
% 119.46/119.27 [2005]~E(x20051,x20052)+E(f797(x20053,x20051,x20054),f797(x20053,x20052,x20054))
% 119.46/119.27 [2006]~E(x20061,x20062)+E(f797(x20063,x20064,x20061),f797(x20063,x20064,x20062))
% 119.46/119.27 [2007]~E(x20071,x20072)+E(f185(x20071,x20073,x20074,x20075),f185(x20072,x20073,x20074,x20075))
% 119.46/119.27 [2008]~E(x20081,x20082)+E(f185(x20083,x20081,x20084,x20085),f185(x20083,x20082,x20084,x20085))
% 119.46/119.27 [2009]~E(x20091,x20092)+E(f185(x20093,x20094,x20091,x20095),f185(x20093,x20094,x20092,x20095))
% 119.46/119.27 [2010]~E(x20101,x20102)+E(f185(x20103,x20104,x20105,x20101),f185(x20103,x20104,x20105,x20102))
% 119.46/119.27 [2011]~E(x20111,x20112)+E(f712(x20111,x20113,x20114,x20115),f712(x20112,x20113,x20114,x20115))
% 119.46/119.27 [2012]~E(x20121,x20122)+E(f712(x20123,x20121,x20124,x20125),f712(x20123,x20122,x20124,x20125))
% 119.46/119.27 [2013]~E(x20131,x20132)+E(f712(x20133,x20134,x20131,x20135),f712(x20133,x20134,x20132,x20135))
% 119.46/119.27 [2014]~E(x20141,x20142)+E(f712(x20143,x20144,x20145,x20141),f712(x20143,x20144,x20145,x20142))
% 119.46/119.27 [2015]~E(x20151,x20152)+E(f224(x20151,x20153),f224(x20152,x20153))
% 119.46/119.27 [2016]~E(x20161,x20162)+E(f224(x20163,x20161),f224(x20163,x20162))
% 119.46/119.27 [2017]~E(x20171,x20172)+E(f196(x20171,x20173,x20174,x20175),f196(x20172,x20173,x20174,x20175))
% 119.46/119.27 [2018]~E(x20181,x20182)+E(f196(x20183,x20181,x20184,x20185),f196(x20183,x20182,x20184,x20185))
% 119.46/119.27 [2019]~E(x20191,x20192)+E(f196(x20193,x20194,x20191,x20195),f196(x20193,x20194,x20192,x20195))
% 119.46/119.27 [2020]~E(x20201,x20202)+E(f196(x20203,x20204,x20205,x20201),f196(x20203,x20204,x20205,x20202))
% 119.46/119.27 [2021]~E(x20211,x20212)+E(f739(x20211,x20213),f739(x20212,x20213))
% 119.46/119.27 [2022]~E(x20221,x20222)+E(f739(x20223,x20221),f739(x20223,x20222))
% 119.46/119.27 [2023]~E(x20231,x20232)+E(f550(x20231,x20233,x20234,x20235),f550(x20232,x20233,x20234,x20235))
% 119.46/119.27 [2024]~E(x20241,x20242)+E(f550(x20243,x20241,x20244,x20245),f550(x20243,x20242,x20244,x20245))
% 119.46/119.27 [2025]~E(x20251,x20252)+E(f550(x20253,x20254,x20251,x20255),f550(x20253,x20254,x20252,x20255))
% 119.46/119.27 [2026]~E(x20261,x20262)+E(f550(x20263,x20264,x20265,x20261),f550(x20263,x20264,x20265,x20262))
% 119.46/119.27 [2027]~E(x20271,x20272)+E(f323(x20271,x20273,x20274,x20275),f323(x20272,x20273,x20274,x20275))
% 119.46/119.27 [2028]~E(x20281,x20282)+E(f323(x20283,x20281,x20284,x20285),f323(x20283,x20282,x20284,x20285))
% 119.46/119.27 [2029]~E(x20291,x20292)+E(f323(x20293,x20294,x20291,x20295),f323(x20293,x20294,x20292,x20295))
% 119.46/119.27 [2030]~E(x20301,x20302)+E(f323(x20303,x20304,x20305,x20301),f323(x20303,x20304,x20305,x20302))
% 119.46/119.27 [2031]~E(x20311,x20312)+E(f651(x20311,x20313,x20314),f651(x20312,x20313,x20314))
% 119.46/119.27 [2032]~E(x20321,x20322)+E(f651(x20323,x20321,x20324),f651(x20323,x20322,x20324))
% 119.46/119.27 [2033]~E(x20331,x20332)+E(f651(x20333,x20334,x20331),f651(x20333,x20334,x20332))
% 119.46/119.27 [2034]~E(x20341,x20342)+E(f508(x20341,x20343,x20344),f508(x20342,x20343,x20344))
% 119.46/119.27 [2035]~E(x20351,x20352)+E(f508(x20353,x20351,x20354),f508(x20353,x20352,x20354))
% 119.46/119.27 [2036]~E(x20361,x20362)+E(f508(x20363,x20364,x20361),f508(x20363,x20364,x20362))
% 119.46/119.27 [2037]~E(x20371,x20372)+E(f706(x20371,x20373,x20374),f706(x20372,x20373,x20374))
% 119.46/119.27 [2038]~E(x20381,x20382)+E(f706(x20383,x20381,x20384),f706(x20383,x20382,x20384))
% 119.46/119.27 [2039]~E(x20391,x20392)+E(f706(x20393,x20394,x20391),f706(x20393,x20394,x20392))
% 119.46/119.27 [2040]~E(x20401,x20402)+E(f198(x20401),f198(x20402))
% 119.46/119.27 [2041]~E(x20411,x20412)+E(f673(x20411,x20413,x20414,x20415),f673(x20412,x20413,x20414,x20415))
% 119.46/119.27 [2042]~E(x20421,x20422)+E(f673(x20423,x20421,x20424,x20425),f673(x20423,x20422,x20424,x20425))
% 119.46/119.27 [2043]~E(x20431,x20432)+E(f673(x20433,x20434,x20431,x20435),f673(x20433,x20434,x20432,x20435))
% 119.46/119.27 [2044]~E(x20441,x20442)+E(f673(x20443,x20444,x20445,x20441),f673(x20443,x20444,x20445,x20442))
% 119.46/119.27 [2045]~E(x20451,x20452)+E(f787(x20451,x20453,x20454,x20455),f787(x20452,x20453,x20454,x20455))
% 119.46/119.27 [2046]~E(x20461,x20462)+E(f787(x20463,x20461,x20464,x20465),f787(x20463,x20462,x20464,x20465))
% 119.46/119.27 [2047]~E(x20471,x20472)+E(f787(x20473,x20474,x20471,x20475),f787(x20473,x20474,x20472,x20475))
% 119.46/119.27 [2048]~E(x20481,x20482)+E(f787(x20483,x20484,x20485,x20481),f787(x20483,x20484,x20485,x20482))
% 119.46/119.27 [2049]~E(x20491,x20492)+E(f454(x20491,x20493,x20494,x20495,x20496),f454(x20492,x20493,x20494,x20495,x20496))
% 119.46/119.27 [2050]~E(x20501,x20502)+E(f454(x20503,x20501,x20504,x20505,x20506),f454(x20503,x20502,x20504,x20505,x20506))
% 119.46/119.27 [2051]~E(x20511,x20512)+E(f454(x20513,x20514,x20511,x20515,x20516),f454(x20513,x20514,x20512,x20515,x20516))
% 119.46/119.27 [2052]~E(x20521,x20522)+E(f454(x20523,x20524,x20525,x20521,x20526),f454(x20523,x20524,x20525,x20522,x20526))
% 119.46/119.27 [2053]~E(x20531,x20532)+E(f454(x20533,x20534,x20535,x20536,x20531),f454(x20533,x20534,x20535,x20536,x20532))
% 119.46/119.27 [2054]~E(x20541,x20542)+E(f783(x20541,x20543,x20544),f783(x20542,x20543,x20544))
% 119.46/119.27 [2055]~E(x20551,x20552)+E(f783(x20553,x20551,x20554),f783(x20553,x20552,x20554))
% 119.46/119.27 [2056]~E(x20561,x20562)+E(f783(x20563,x20564,x20561),f783(x20563,x20564,x20562))
% 119.46/119.27 [2057]~E(x20571,x20572)+E(f480(x20571,x20573,x20574,x20575),f480(x20572,x20573,x20574,x20575))
% 119.46/119.27 [2058]~E(x20581,x20582)+E(f480(x20583,x20581,x20584,x20585),f480(x20583,x20582,x20584,x20585))
% 119.46/119.27 [2059]~E(x20591,x20592)+E(f480(x20593,x20594,x20591,x20595),f480(x20593,x20594,x20592,x20595))
% 119.46/119.27 [2060]~E(x20601,x20602)+E(f480(x20603,x20604,x20605,x20601),f480(x20603,x20604,x20605,x20602))
% 119.46/119.27 [2061]~E(x20611,x20612)+E(f717(x20611,x20613,x20614),f717(x20612,x20613,x20614))
% 119.46/119.27 [2062]~E(x20621,x20622)+E(f717(x20623,x20621,x20624),f717(x20623,x20622,x20624))
% 119.46/119.27 [2063]~E(x20631,x20632)+E(f717(x20633,x20634,x20631),f717(x20633,x20634,x20632))
% 119.46/119.27 [2064]~E(x20641,x20642)+E(f648(x20641,x20643,x20644),f648(x20642,x20643,x20644))
% 119.46/119.27 [2065]~E(x20651,x20652)+E(f648(x20653,x20651,x20654),f648(x20653,x20652,x20654))
% 119.46/119.27 [2066]~E(x20661,x20662)+E(f648(x20663,x20664,x20661),f648(x20663,x20664,x20662))
% 119.46/119.27 [2067]~E(x20671,x20672)+E(f427(x20671,x20673,x20674,x20675,x20676,x20677),f427(x20672,x20673,x20674,x20675,x20676,x20677))
% 119.46/119.27 [2068]~E(x20681,x20682)+E(f427(x20683,x20681,x20684,x20685,x20686,x20687),f427(x20683,x20682,x20684,x20685,x20686,x20687))
% 119.46/119.27 [2069]~E(x20691,x20692)+E(f427(x20693,x20694,x20691,x20695,x20696,x20697),f427(x20693,x20694,x20692,x20695,x20696,x20697))
% 119.46/119.27 [2070]~E(x20701,x20702)+E(f427(x20703,x20704,x20705,x20701,x20706,x20707),f427(x20703,x20704,x20705,x20702,x20706,x20707))
% 119.46/119.27 [2071]~E(x20711,x20712)+E(f427(x20713,x20714,x20715,x20716,x20711,x20717),f427(x20713,x20714,x20715,x20716,x20712,x20717))
% 119.46/119.27 [2072]~E(x20721,x20722)+E(f427(x20723,x20724,x20725,x20726,x20727,x20721),f427(x20723,x20724,x20725,x20726,x20727,x20722))
% 119.46/119.27 [2073]~E(x20731,x20732)+E(f875(x20731,x20733,x20734,x20735),f875(x20732,x20733,x20734,x20735))
% 119.46/119.27 [2074]~E(x20741,x20742)+E(f875(x20743,x20741,x20744,x20745),f875(x20743,x20742,x20744,x20745))
% 119.46/119.27 [2075]~E(x20751,x20752)+E(f875(x20753,x20754,x20751,x20755),f875(x20753,x20754,x20752,x20755))
% 119.46/119.27 [2076]~E(x20761,x20762)+E(f875(x20763,x20764,x20765,x20761),f875(x20763,x20764,x20765,x20762))
% 119.46/119.27 [2077]~E(x20771,x20772)+E(f199(x20771,x20773,x20774,x20775),f199(x20772,x20773,x20774,x20775))
% 119.46/119.27 [2078]~E(x20781,x20782)+E(f199(x20783,x20781,x20784,x20785),f199(x20783,x20782,x20784,x20785))
% 119.46/119.27 [2079]~E(x20791,x20792)+E(f199(x20793,x20794,x20791,x20795),f199(x20793,x20794,x20792,x20795))
% 119.46/119.27 [2080]~E(x20801,x20802)+E(f199(x20803,x20804,x20805,x20801),f199(x20803,x20804,x20805,x20802))
% 119.46/119.27 [2081]~E(x20811,x20812)+E(f278(x20811,x20813),f278(x20812,x20813))
% 119.46/119.27 [2082]~E(x20821,x20822)+E(f278(x20823,x20821),f278(x20823,x20822))
% 119.46/119.27 [2083]~E(x20831,x20832)+E(f700(x20831,x20833),f700(x20832,x20833))
% 119.46/119.27 [2084]~E(x20841,x20842)+E(f700(x20843,x20841),f700(x20843,x20842))
% 119.46/119.27 [2085]~E(x20851,x20852)+E(f444(x20851,x20853,x20854,x20855,x20856),f444(x20852,x20853,x20854,x20855,x20856))
% 119.46/119.27 [2086]~E(x20861,x20862)+E(f444(x20863,x20861,x20864,x20865,x20866),f444(x20863,x20862,x20864,x20865,x20866))
% 119.46/119.27 [2087]~E(x20871,x20872)+E(f444(x20873,x20874,x20871,x20875,x20876),f444(x20873,x20874,x20872,x20875,x20876))
% 119.46/119.27 [2088]~E(x20881,x20882)+E(f444(x20883,x20884,x20885,x20881,x20886),f444(x20883,x20884,x20885,x20882,x20886))
% 119.46/119.27 [2089]~E(x20891,x20892)+E(f444(x20893,x20894,x20895,x20896,x20891),f444(x20893,x20894,x20895,x20896,x20892))
% 119.46/119.27 [2090]~E(x20901,x20902)+E(f533(x20901,x20903),f533(x20902,x20903))
% 119.46/119.27 [2091]~E(x20911,x20912)+E(f533(x20913,x20911),f533(x20913,x20912))
% 119.46/119.27 [2092]~E(x20921,x20922)+E(f768(x20921,x20923),f768(x20922,x20923))
% 119.46/119.27 [2093]~E(x20931,x20932)+E(f768(x20933,x20931),f768(x20933,x20932))
% 119.46/119.27 [2094]~E(x20941,x20942)+E(f528(x20941,x20943,x20944,x20945,x20946,x20947,x20948,x20949),f528(x20942,x20943,x20944,x20945,x20946,x20947,x20948,x20949))
% 119.46/119.27 [2095]~E(x20951,x20952)+E(f528(x20953,x20951,x20954,x20955,x20956,x20957,x20958,x20959),f528(x20953,x20952,x20954,x20955,x20956,x20957,x20958,x20959))
% 119.46/119.27 [2096]~E(x20961,x20962)+E(f528(x20963,x20964,x20961,x20965,x20966,x20967,x20968,x20969),f528(x20963,x20964,x20962,x20965,x20966,x20967,x20968,x20969))
% 119.46/119.27 [2097]~E(x20971,x20972)+E(f528(x20973,x20974,x20975,x20971,x20976,x20977,x20978,x20979),f528(x20973,x20974,x20975,x20972,x20976,x20977,x20978,x20979))
% 119.46/119.27 [2098]~E(x20981,x20982)+E(f528(x20983,x20984,x20985,x20986,x20981,x20987,x20988,x20989),f528(x20983,x20984,x20985,x20986,x20982,x20987,x20988,x20989))
% 119.46/119.27 [2099]~E(x20991,x20992)+E(f528(x20993,x20994,x20995,x20996,x20997,x20991,x20998,x20999),f528(x20993,x20994,x20995,x20996,x20997,x20992,x20998,x20999))
% 119.46/119.27 [2100]~E(x21001,x21002)+E(f528(x21003,x21004,x21005,x21006,x21007,x21008,x21001,x21009),f528(x21003,x21004,x21005,x21006,x21007,x21008,x21002,x21009))
% 119.46/119.27 [2101]~E(x21011,x21012)+E(f528(x21013,x21014,x21015,x21016,x21017,x21018,x21019,x21011),f528(x21013,x21014,x21015,x21016,x21017,x21018,x21019,x21012))
% 119.46/119.27 [2102]~E(x21021,x21022)+E(f668(x21021,x21023,x21024),f668(x21022,x21023,x21024))
% 119.46/119.27 [2103]~E(x21031,x21032)+E(f668(x21033,x21031,x21034),f668(x21033,x21032,x21034))
% 119.46/119.27 [2104]~E(x21041,x21042)+E(f668(x21043,x21044,x21041),f668(x21043,x21044,x21042))
% 119.46/119.27 [2105]~E(x21051,x21052)+E(f542(x21051,x21053),f542(x21052,x21053))
% 119.46/119.27 [2106]~E(x21061,x21062)+E(f542(x21063,x21061),f542(x21063,x21062))
% 119.46/119.27 [2107]~E(x21071,x21072)+E(f672(x21071,x21073,x21074,x21075,x21076),f672(x21072,x21073,x21074,x21075,x21076))
% 119.46/119.27 [2108]~E(x21081,x21082)+E(f672(x21083,x21081,x21084,x21085,x21086),f672(x21083,x21082,x21084,x21085,x21086))
% 119.46/119.27 [2109]~E(x21091,x21092)+E(f672(x21093,x21094,x21091,x21095,x21096),f672(x21093,x21094,x21092,x21095,x21096))
% 119.46/119.27 [2110]~E(x21101,x21102)+E(f672(x21103,x21104,x21105,x21101,x21106),f672(x21103,x21104,x21105,x21102,x21106))
% 119.46/119.27 [2111]~E(x21111,x21112)+E(f672(x21113,x21114,x21115,x21116,x21111),f672(x21113,x21114,x21115,x21116,x21112))
% 119.46/119.27 [2112]~E(x21121,x21122)+E(f328(x21121,x21123,x21124,x21125,x21126),f328(x21122,x21123,x21124,x21125,x21126))
% 119.46/119.27 [2113]~E(x21131,x21132)+E(f328(x21133,x21131,x21134,x21135,x21136),f328(x21133,x21132,x21134,x21135,x21136))
% 119.46/119.27 [2114]~E(x21141,x21142)+E(f328(x21143,x21144,x21141,x21145,x21146),f328(x21143,x21144,x21142,x21145,x21146))
% 119.46/119.27 [2115]~E(x21151,x21152)+E(f328(x21153,x21154,x21155,x21151,x21156),f328(x21153,x21154,x21155,x21152,x21156))
% 119.46/119.27 [2116]~E(x21161,x21162)+E(f328(x21163,x21164,x21165,x21166,x21161),f328(x21163,x21164,x21165,x21166,x21162))
% 119.46/119.27 [2117]~E(x21171,x21172)+E(f696(x21171,x21173,x21174,x21175),f696(x21172,x21173,x21174,x21175))
% 119.46/119.27 [2118]~E(x21181,x21182)+E(f696(x21183,x21181,x21184,x21185),f696(x21183,x21182,x21184,x21185))
% 119.46/119.27 [2119]~E(x21191,x21192)+E(f696(x21193,x21194,x21191,x21195),f696(x21193,x21194,x21192,x21195))
% 119.46/119.27 [2120]~E(x21201,x21202)+E(f696(x21203,x21204,x21205,x21201),f696(x21203,x21204,x21205,x21202))
% 119.46/119.27 [2121]~E(x21211,x21212)+E(f619(x21211,x21213,x21214,x21215,x21216),f619(x21212,x21213,x21214,x21215,x21216))
% 119.46/119.27 [2122]~E(x21221,x21222)+E(f619(x21223,x21221,x21224,x21225,x21226),f619(x21223,x21222,x21224,x21225,x21226))
% 119.46/119.27 [2123]~E(x21231,x21232)+E(f619(x21233,x21234,x21231,x21235,x21236),f619(x21233,x21234,x21232,x21235,x21236))
% 119.46/119.27 [2124]~E(x21241,x21242)+E(f619(x21243,x21244,x21245,x21241,x21246),f619(x21243,x21244,x21245,x21242,x21246))
% 119.46/119.27 [2125]~E(x21251,x21252)+E(f619(x21253,x21254,x21255,x21256,x21251),f619(x21253,x21254,x21255,x21256,x21252))
% 119.46/119.27 [2126]~E(x21261,x21262)+E(f860(x21261,x21263,x21264,x21265),f860(x21262,x21263,x21264,x21265))
% 119.46/119.27 [2127]~E(x21271,x21272)+E(f860(x21273,x21271,x21274,x21275),f860(x21273,x21272,x21274,x21275))
% 119.46/119.27 [2128]~E(x21281,x21282)+E(f860(x21283,x21284,x21281,x21285),f860(x21283,x21284,x21282,x21285))
% 119.46/119.27 [2129]~E(x21291,x21292)+E(f860(x21293,x21294,x21295,x21291),f860(x21293,x21294,x21295,x21292))
% 119.46/119.27 [2130]~E(x21301,x21302)+E(f628(x21301,x21303,x21304),f628(x21302,x21303,x21304))
% 119.46/119.27 [2131]~E(x21311,x21312)+E(f628(x21313,x21311,x21314),f628(x21313,x21312,x21314))
% 119.46/119.27 [2132]~E(x21321,x21322)+E(f628(x21323,x21324,x21321),f628(x21323,x21324,x21322))
% 119.46/119.27 [2133]~E(x21331,x21332)+E(f443(x21331,x21333,x21334,x21335,x21336),f443(x21332,x21333,x21334,x21335,x21336))
% 119.46/119.27 [2134]~E(x21341,x21342)+E(f443(x21343,x21341,x21344,x21345,x21346),f443(x21343,x21342,x21344,x21345,x21346))
% 119.46/119.27 [2135]~E(x21351,x21352)+E(f443(x21353,x21354,x21351,x21355,x21356),f443(x21353,x21354,x21352,x21355,x21356))
% 119.46/119.27 [2136]~E(x21361,x21362)+E(f443(x21363,x21364,x21365,x21361,x21366),f443(x21363,x21364,x21365,x21362,x21366))
% 119.46/119.27 [2137]~E(x21371,x21372)+E(f443(x21373,x21374,x21375,x21376,x21371),f443(x21373,x21374,x21375,x21376,x21372))
% 119.46/119.27 [2138]~E(x21381,x21382)+E(f219(x21381,x21383,x21384,x21385),f219(x21382,x21383,x21384,x21385))
% 119.46/119.27 [2139]~E(x21391,x21392)+E(f219(x21393,x21391,x21394,x21395),f219(x21393,x21392,x21394,x21395))
% 119.46/119.27 [2140]~E(x21401,x21402)+E(f219(x21403,x21404,x21401,x21405),f219(x21403,x21404,x21402,x21405))
% 119.46/119.27 [2141]~E(x21411,x21412)+E(f219(x21413,x21414,x21415,x21411),f219(x21413,x21414,x21415,x21412))
% 119.46/119.27 [2142]~E(x21421,x21422)+E(f261(x21421,x21423),f261(x21422,x21423))
% 119.46/119.27 [2143]~E(x21431,x21432)+E(f261(x21433,x21431),f261(x21433,x21432))
% 119.46/119.27 [2144]~E(x21441,x21442)+E(f491(x21441,x21443,x21444,x21445),f491(x21442,x21443,x21444,x21445))
% 119.46/119.27 [2145]~E(x21451,x21452)+E(f491(x21453,x21451,x21454,x21455),f491(x21453,x21452,x21454,x21455))
% 119.46/119.27 [2146]~E(x21461,x21462)+E(f491(x21463,x21464,x21461,x21465),f491(x21463,x21464,x21462,x21465))
% 119.46/119.27 [2147]~E(x21471,x21472)+E(f491(x21473,x21474,x21475,x21471),f491(x21473,x21474,x21475,x21472))
% 119.46/119.27 [2148]~E(x21481,x21482)+E(f350(x21481,x21483,x21484,x21485),f350(x21482,x21483,x21484,x21485))
% 119.46/119.27 [2149]~E(x21491,x21492)+E(f350(x21493,x21491,x21494,x21495),f350(x21493,x21492,x21494,x21495))
% 119.46/119.27 [2150]~E(x21501,x21502)+E(f350(x21503,x21504,x21501,x21505),f350(x21503,x21504,x21502,x21505))
% 119.46/119.27 [2151]~E(x21511,x21512)+E(f350(x21513,x21514,x21515,x21511),f350(x21513,x21514,x21515,x21512))
% 119.46/119.27 [2152]~E(x21521,x21522)+E(f280(x21521,x21523,x21524),f280(x21522,x21523,x21524))
% 119.46/119.27 [2153]~E(x21531,x21532)+E(f280(x21533,x21531,x21534),f280(x21533,x21532,x21534))
% 119.46/119.27 [2154]~E(x21541,x21542)+E(f280(x21543,x21544,x21541),f280(x21543,x21544,x21542))
% 119.46/119.27 [2155]~E(x21551,x21552)+E(f472(x21551,x21553,x21554,x21555,x21556),f472(x21552,x21553,x21554,x21555,x21556))
% 119.46/119.27 [2156]~E(x21561,x21562)+E(f472(x21563,x21561,x21564,x21565,x21566),f472(x21563,x21562,x21564,x21565,x21566))
% 119.46/119.27 [2157]~E(x21571,x21572)+E(f472(x21573,x21574,x21571,x21575,x21576),f472(x21573,x21574,x21572,x21575,x21576))
% 119.46/119.27 [2158]~E(x21581,x21582)+E(f472(x21583,x21584,x21585,x21581,x21586),f472(x21583,x21584,x21585,x21582,x21586))
% 119.46/119.27 [2159]~E(x21591,x21592)+E(f472(x21593,x21594,x21595,x21596,x21591),f472(x21593,x21594,x21595,x21596,x21592))
% 119.46/119.27 [2160]~E(x21601,x21602)+E(f772(x21601,x21603,x21604),f772(x21602,x21603,x21604))
% 119.46/119.27 [2161]~E(x21611,x21612)+E(f772(x21613,x21611,x21614),f772(x21613,x21612,x21614))
% 119.46/119.27 [2162]~E(x21621,x21622)+E(f772(x21623,x21624,x21621),f772(x21623,x21624,x21622))
% 119.46/119.27 [2163]~E(x21631,x21632)+E(f435(x21631,x21633,x21634),f435(x21632,x21633,x21634))
% 119.46/119.27 [2164]~E(x21641,x21642)+E(f435(x21643,x21641,x21644),f435(x21643,x21642,x21644))
% 119.46/119.27 [2165]~E(x21651,x21652)+E(f435(x21653,x21654,x21651),f435(x21653,x21654,x21652))
% 119.46/119.27 [2166]~E(x21661,x21662)+E(f599(x21661,x21663,x21664),f599(x21662,x21663,x21664))
% 119.46/119.27 [2167]~E(x21671,x21672)+E(f599(x21673,x21671,x21674),f599(x21673,x21672,x21674))
% 119.46/119.27 [2168]~E(x21681,x21682)+E(f599(x21683,x21684,x21681),f599(x21683,x21684,x21682))
% 119.46/119.27 [2169]~E(x21691,x21692)+E(f670(x21691,x21693,x21694,x21695,x21696),f670(x21692,x21693,x21694,x21695,x21696))
% 119.46/119.27 [2170]~E(x21701,x21702)+E(f670(x21703,x21701,x21704,x21705,x21706),f670(x21703,x21702,x21704,x21705,x21706))
% 119.46/119.27 [2171]~E(x21711,x21712)+E(f670(x21713,x21714,x21711,x21715,x21716),f670(x21713,x21714,x21712,x21715,x21716))
% 119.46/119.27 [2172]~E(x21721,x21722)+E(f670(x21723,x21724,x21725,x21721,x21726),f670(x21723,x21724,x21725,x21722,x21726))
% 119.46/119.27 [2173]~E(x21731,x21732)+E(f670(x21733,x21734,x21735,x21736,x21731),f670(x21733,x21734,x21735,x21736,x21732))
% 119.46/119.27 [2174]~E(x21741,x21742)+E(f368(x21741,x21743,x21744),f368(x21742,x21743,x21744))
% 119.46/119.27 [2175]~E(x21751,x21752)+E(f368(x21753,x21751,x21754),f368(x21753,x21752,x21754))
% 119.46/119.27 [2176]~E(x21761,x21762)+E(f368(x21763,x21764,x21761),f368(x21763,x21764,x21762))
% 119.46/119.27 [2177]~E(x21771,x21772)+E(f342(x21771),f342(x21772))
% 119.46/119.27 [2178]~E(x21781,x21782)+E(f37(x21781),f37(x21782))
% 119.46/119.27 [2179]~E(x21791,x21792)+E(f585(x21791,x21793),f585(x21792,x21793))
% 119.46/119.27 [2180]~E(x21801,x21802)+E(f585(x21803,x21801),f585(x21803,x21802))
% 119.46/119.27 [2181]~E(x21811,x21812)+E(f567(x21811,x21813),f567(x21812,x21813))
% 119.46/119.27 [2182]~E(x21821,x21822)+E(f567(x21823,x21821),f567(x21823,x21822))
% 119.46/119.27 [2183]~E(x21831,x21832)+E(f562(x21831,x21833),f562(x21832,x21833))
% 119.46/119.27 [2184]~E(x21841,x21842)+E(f562(x21843,x21841),f562(x21843,x21842))
% 119.46/119.27 [2185]~E(x21851,x21852)+E(f634(x21851,x21853,x21854),f634(x21852,x21853,x21854))
% 119.46/119.27 [2186]~E(x21861,x21862)+E(f634(x21863,x21861,x21864),f634(x21863,x21862,x21864))
% 119.46/119.27 [2187]~E(x21871,x21872)+E(f634(x21873,x21874,x21871),f634(x21873,x21874,x21872))
% 119.46/119.27 [2188]~E(x21881,x21882)+E(f592(x21881,x21883,x21884),f592(x21882,x21883,x21884))
% 119.46/119.27 [2189]~E(x21891,x21892)+E(f592(x21893,x21891,x21894),f592(x21893,x21892,x21894))
% 119.46/119.27 [2190]~E(x21901,x21902)+E(f592(x21903,x21904,x21901),f592(x21903,x21904,x21902))
% 119.46/119.27 [2191]~E(x21911,x21912)+E(f381(x21911,x21913,x21914,x21915),f381(x21912,x21913,x21914,x21915))
% 119.46/119.27 [2192]~E(x21921,x21922)+E(f381(x21923,x21921,x21924,x21925),f381(x21923,x21922,x21924,x21925))
% 119.46/119.27 [2193]~E(x21931,x21932)+E(f381(x21933,x21934,x21931,x21935),f381(x21933,x21934,x21932,x21935))
% 119.46/119.27 [2194]~E(x21941,x21942)+E(f381(x21943,x21944,x21945,x21941),f381(x21943,x21944,x21945,x21942))
% 119.46/119.27 [2195]~E(x21951,x21952)+E(f822(x21951),f822(x21952))
% 119.46/119.27 [2196]~E(x21961,x21962)+E(f234(x21961,x21963,x21964,x21965,x21966,x21967),f234(x21962,x21963,x21964,x21965,x21966,x21967))
% 119.46/119.27 [2197]~E(x21971,x21972)+E(f234(x21973,x21971,x21974,x21975,x21976,x21977),f234(x21973,x21972,x21974,x21975,x21976,x21977))
% 119.46/119.27 [2198]~E(x21981,x21982)+E(f234(x21983,x21984,x21981,x21985,x21986,x21987),f234(x21983,x21984,x21982,x21985,x21986,x21987))
% 119.46/119.27 [2199]~E(x21991,x21992)+E(f234(x21993,x21994,x21995,x21991,x21996,x21997),f234(x21993,x21994,x21995,x21992,x21996,x21997))
% 119.46/119.27 [2200]~E(x22001,x22002)+E(f234(x22003,x22004,x22005,x22006,x22001,x22007),f234(x22003,x22004,x22005,x22006,x22002,x22007))
% 119.46/119.27 [2201]~E(x22011,x22012)+E(f234(x22013,x22014,x22015,x22016,x22017,x22011),f234(x22013,x22014,x22015,x22016,x22017,x22012))
% 119.46/119.27 [2202]~E(x22021,x22022)+E(f336(x22021,x22023,x22024,x22025,x22026),f336(x22022,x22023,x22024,x22025,x22026))
% 119.46/119.27 [2203]~E(x22031,x22032)+E(f336(x22033,x22031,x22034,x22035,x22036),f336(x22033,x22032,x22034,x22035,x22036))
% 119.46/119.27 [2204]~E(x22041,x22042)+E(f336(x22043,x22044,x22041,x22045,x22046),f336(x22043,x22044,x22042,x22045,x22046))
% 119.46/119.27 [2205]~E(x22051,x22052)+E(f336(x22053,x22054,x22055,x22051,x22056),f336(x22053,x22054,x22055,x22052,x22056))
% 119.46/119.27 [2206]~E(x22061,x22062)+E(f336(x22063,x22064,x22065,x22066,x22061),f336(x22063,x22064,x22065,x22066,x22062))
% 119.46/119.27 [2207]~E(x22071,x22072)+E(f446(x22071,x22073,x22074,x22075),f446(x22072,x22073,x22074,x22075))
% 119.46/119.27 [2208]~E(x22081,x22082)+E(f446(x22083,x22081,x22084,x22085),f446(x22083,x22082,x22084,x22085))
% 119.46/119.27 [2209]~E(x22091,x22092)+E(f446(x22093,x22094,x22091,x22095),f446(x22093,x22094,x22092,x22095))
% 119.46/119.27 [2210]~E(x22101,x22102)+E(f446(x22103,x22104,x22105,x22101),f446(x22103,x22104,x22105,x22102))
% 119.46/119.27 [2211]~E(x22111,x22112)+E(f594(x22111,x22113,x22114,x22115,x22116),f594(x22112,x22113,x22114,x22115,x22116))
% 119.46/119.27 [2212]~E(x22121,x22122)+E(f594(x22123,x22121,x22124,x22125,x22126),f594(x22123,x22122,x22124,x22125,x22126))
% 119.46/119.27 [2213]~E(x22131,x22132)+E(f594(x22133,x22134,x22131,x22135,x22136),f594(x22133,x22134,x22132,x22135,x22136))
% 119.46/119.27 [2214]~E(x22141,x22142)+E(f594(x22143,x22144,x22145,x22141,x22146),f594(x22143,x22144,x22145,x22142,x22146))
% 119.46/119.27 [2215]~E(x22151,x22152)+E(f594(x22153,x22154,x22155,x22156,x22151),f594(x22153,x22154,x22155,x22156,x22152))
% 119.46/119.27 [2216]~E(x22161,x22162)+E(f876(x22161,x22163,x22164),f876(x22162,x22163,x22164))
% 119.46/119.27 [2217]~E(x22171,x22172)+E(f876(x22173,x22171,x22174),f876(x22173,x22172,x22174))
% 119.46/119.27 [2218]~E(x22181,x22182)+E(f876(x22183,x22184,x22181),f876(x22183,x22184,x22182))
% 119.46/119.27 [2219]~E(x22191,x22192)+E(f538(x22191,x22193),f538(x22192,x22193))
% 119.46/119.27 [2220]~E(x22201,x22202)+E(f538(x22203,x22201),f538(x22203,x22202))
% 119.46/119.27 [2221]~E(x22211,x22212)+E(f720(x22211,x22213),f720(x22212,x22213))
% 119.46/119.27 [2222]~E(x22221,x22222)+E(f720(x22223,x22221),f720(x22223,x22222))
% 119.46/119.27 [2223]~E(x22231,x22232)+E(f475(x22231,x22233,x22234,x22235),f475(x22232,x22233,x22234,x22235))
% 119.46/119.27 [2224]~E(x22241,x22242)+E(f475(x22243,x22241,x22244,x22245),f475(x22243,x22242,x22244,x22245))
% 119.46/119.27 [2225]~E(x22251,x22252)+E(f475(x22253,x22254,x22251,x22255),f475(x22253,x22254,x22252,x22255))
% 119.46/119.27 [2226]~E(x22261,x22262)+E(f475(x22263,x22264,x22265,x22261),f475(x22263,x22264,x22265,x22262))
% 119.46/119.27 [2227]~E(x22271,x22272)+E(f629(x22271,x22273,x22274),f629(x22272,x22273,x22274))
% 119.46/119.27 [2228]~E(x22281,x22282)+E(f629(x22283,x22281,x22284),f629(x22283,x22282,x22284))
% 119.46/119.27 [2229]~E(x22291,x22292)+E(f629(x22293,x22294,x22291),f629(x22293,x22294,x22292))
% 119.46/119.27 [2230]~E(x22301,x22302)+E(f434(x22301,x22303,x22304),f434(x22302,x22303,x22304))
% 119.46/119.27 [2231]~E(x22311,x22312)+E(f434(x22313,x22311,x22314),f434(x22313,x22312,x22314))
% 119.46/119.27 [2232]~E(x22321,x22322)+E(f434(x22323,x22324,x22321),f434(x22323,x22324,x22322))
% 119.46/119.27 [2233]~E(x22331,x22332)+E(f840(x22331,x22333,x22334),f840(x22332,x22333,x22334))
% 119.46/119.27 [2234]~E(x22341,x22342)+E(f840(x22343,x22341,x22344),f840(x22343,x22342,x22344))
% 119.46/119.27 [2235]~E(x22351,x22352)+E(f840(x22353,x22354,x22351),f840(x22353,x22354,x22352))
% 119.46/119.27 [2236]~E(x22361,x22362)+E(f453(x22361,x22363,x22364,x22365),f453(x22362,x22363,x22364,x22365))
% 119.46/119.27 [2237]~E(x22371,x22372)+E(f453(x22373,x22371,x22374,x22375),f453(x22373,x22372,x22374,x22375))
% 119.46/119.27 [2238]~E(x22381,x22382)+E(f453(x22383,x22384,x22381,x22385),f453(x22383,x22384,x22382,x22385))
% 119.46/119.27 [2239]~E(x22391,x22392)+E(f453(x22393,x22394,x22395,x22391),f453(x22393,x22394,x22395,x22392))
% 119.46/119.27 [2240]~E(x22401,x22402)+E(f815(x22401,x22403),f815(x22402,x22403))
% 119.46/119.27 [2241]~E(x22411,x22412)+E(f815(x22413,x22411),f815(x22413,x22412))
% 119.46/119.27 [2242]~E(x22421,x22422)+E(f549(x22421,x22423,x22424,x22425,x22426,x22427),f549(x22422,x22423,x22424,x22425,x22426,x22427))
% 119.46/119.27 [2243]~E(x22431,x22432)+E(f549(x22433,x22431,x22434,x22435,x22436,x22437),f549(x22433,x22432,x22434,x22435,x22436,x22437))
% 119.46/119.27 [2244]~E(x22441,x22442)+E(f549(x22443,x22444,x22441,x22445,x22446,x22447),f549(x22443,x22444,x22442,x22445,x22446,x22447))
% 119.46/119.27 [2245]~E(x22451,x22452)+E(f549(x22453,x22454,x22455,x22451,x22456,x22457),f549(x22453,x22454,x22455,x22452,x22456,x22457))
% 119.46/119.27 [2246]~E(x22461,x22462)+E(f549(x22463,x22464,x22465,x22466,x22461,x22467),f549(x22463,x22464,x22465,x22466,x22462,x22467))
% 119.46/119.27 [2247]~E(x22471,x22472)+E(f549(x22473,x22474,x22475,x22476,x22477,x22471),f549(x22473,x22474,x22475,x22476,x22477,x22472))
% 119.46/119.27 [2248]~E(x22481,x22482)+E(f168(x22481),f168(x22482))
% 119.46/119.27 [2249]~E(x22491,x22492)+E(f197(x22491,x22493,x22494,x22495,x22496,x22497,x22498),f197(x22492,x22493,x22494,x22495,x22496,x22497,x22498))
% 119.46/119.27 [2250]~E(x22501,x22502)+E(f197(x22503,x22501,x22504,x22505,x22506,x22507,x22508),f197(x22503,x22502,x22504,x22505,x22506,x22507,x22508))
% 119.46/119.27 [2251]~E(x22511,x22512)+E(f197(x22513,x22514,x22511,x22515,x22516,x22517,x22518),f197(x22513,x22514,x22512,x22515,x22516,x22517,x22518))
% 119.46/119.27 [2252]~E(x22521,x22522)+E(f197(x22523,x22524,x22525,x22521,x22526,x22527,x22528),f197(x22523,x22524,x22525,x22522,x22526,x22527,x22528))
% 119.46/119.27 [2253]~E(x22531,x22532)+E(f197(x22533,x22534,x22535,x22536,x22531,x22537,x22538),f197(x22533,x22534,x22535,x22536,x22532,x22537,x22538))
% 119.46/119.27 [2254]~E(x22541,x22542)+E(f197(x22543,x22544,x22545,x22546,x22547,x22541,x22548),f197(x22543,x22544,x22545,x22546,x22547,x22542,x22548))
% 119.46/119.27 [2255]~E(x22551,x22552)+E(f197(x22553,x22554,x22555,x22556,x22557,x22558,x22551),f197(x22553,x22554,x22555,x22556,x22557,x22558,x22552))
% 119.46/119.27 [2256]~E(x22561,x22562)+E(f545(x22561,x22563,x22564,x22565),f545(x22562,x22563,x22564,x22565))
% 119.46/119.27 [2257]~E(x22571,x22572)+E(f545(x22573,x22571,x22574,x22575),f545(x22573,x22572,x22574,x22575))
% 119.46/119.27 [2258]~E(x22581,x22582)+E(f545(x22583,x22584,x22581,x22585),f545(x22583,x22584,x22582,x22585))
% 119.46/119.27 [2259]~E(x22591,x22592)+E(f545(x22593,x22594,x22595,x22591),f545(x22593,x22594,x22595,x22592))
% 119.46/119.27 [2260]~E(x22601,x22602)+E(f257(x22601,x22603),f257(x22602,x22603))
% 119.46/119.27 [2261]~E(x22611,x22612)+E(f257(x22613,x22611),f257(x22613,x22612))
% 119.46/119.27 [2262]~E(x22621,x22622)+E(f741(x22621,x22623),f741(x22622,x22623))
% 119.46/119.27 [2263]~E(x22631,x22632)+E(f741(x22633,x22631),f741(x22633,x22632))
% 119.46/119.27 [2264]~E(x22641,x22642)+E(f404(x22641),f404(x22642))
% 119.46/119.27 [2265]~E(x22651,x22652)+E(f201(x22651,x22653,x22654,x22655,x22656,x22657,x22658),f201(x22652,x22653,x22654,x22655,x22656,x22657,x22658))
% 119.46/119.27 [2266]~E(x22661,x22662)+E(f201(x22663,x22661,x22664,x22665,x22666,x22667,x22668),f201(x22663,x22662,x22664,x22665,x22666,x22667,x22668))
% 119.46/119.27 [2267]~E(x22671,x22672)+E(f201(x22673,x22674,x22671,x22675,x22676,x22677,x22678),f201(x22673,x22674,x22672,x22675,x22676,x22677,x22678))
% 119.46/119.27 [2268]~E(x22681,x22682)+E(f201(x22683,x22684,x22685,x22681,x22686,x22687,x22688),f201(x22683,x22684,x22685,x22682,x22686,x22687,x22688))
% 119.46/119.27 [2269]~E(x22691,x22692)+E(f201(x22693,x22694,x22695,x22696,x22691,x22697,x22698),f201(x22693,x22694,x22695,x22696,x22692,x22697,x22698))
% 119.46/119.27 [2270]~E(x22701,x22702)+E(f201(x22703,x22704,x22705,x22706,x22707,x22701,x22708),f201(x22703,x22704,x22705,x22706,x22707,x22702,x22708))
% 119.46/119.27 [2271]~E(x22711,x22712)+E(f201(x22713,x22714,x22715,x22716,x22717,x22718,x22711),f201(x22713,x22714,x22715,x22716,x22717,x22718,x22712))
% 119.46/119.27 [2272]~E(x22721,x22722)+E(f519(x22721,x22723,x22724,x22725),f519(x22722,x22723,x22724,x22725))
% 119.46/119.27 [2273]~E(x22731,x22732)+E(f519(x22733,x22731,x22734,x22735),f519(x22733,x22732,x22734,x22735))
% 119.46/119.27 [2274]~E(x22741,x22742)+E(f519(x22743,x22744,x22741,x22745),f519(x22743,x22744,x22742,x22745))
% 119.46/119.27 [2275]~E(x22751,x22752)+E(f519(x22753,x22754,x22755,x22751),f519(x22753,x22754,x22755,x22752))
% 119.46/119.27 [2276]~E(x22761,x22762)+E(f353(x22761,x22763,x22764,x22765,x22766),f353(x22762,x22763,x22764,x22765,x22766))
% 119.46/119.27 [2277]~E(x22771,x22772)+E(f353(x22773,x22771,x22774,x22775,x22776),f353(x22773,x22772,x22774,x22775,x22776))
% 119.46/119.27 [2278]~E(x22781,x22782)+E(f353(x22783,x22784,x22781,x22785,x22786),f353(x22783,x22784,x22782,x22785,x22786))
% 119.46/119.27 [2279]~E(x22791,x22792)+E(f353(x22793,x22794,x22795,x22791,x22796),f353(x22793,x22794,x22795,x22792,x22796))
% 119.46/119.27 [2280]~E(x22801,x22802)+E(f353(x22803,x22804,x22805,x22806,x22801),f353(x22803,x22804,x22805,x22806,x22802))
% 119.46/119.27 [2281]~E(x22811,x22812)+E(f769(x22811,x22813,x22814),f769(x22812,x22813,x22814))
% 119.46/119.27 [2282]~E(x22821,x22822)+E(f769(x22823,x22821,x22824),f769(x22823,x22822,x22824))
% 119.46/119.27 [2283]~E(x22831,x22832)+E(f769(x22833,x22834,x22831),f769(x22833,x22834,x22832))
% 119.46/119.27 [2284]~E(x22841,x22842)+E(f264(x22841),f264(x22842))
% 119.46/119.27 [2285]~E(x22851,x22852)+E(f113(x22851),f113(x22852))
% 119.46/119.27 [2286]~E(x22861,x22862)+E(f823(x22861,x22863),f823(x22862,x22863))
% 119.46/119.27 [2287]~E(x22871,x22872)+E(f823(x22873,x22871),f823(x22873,x22872))
% 119.46/119.27 [2288]~E(x22881,x22882)+E(f789(x22881,x22883,x22884,x22885,x22886),f789(x22882,x22883,x22884,x22885,x22886))
% 119.46/119.27 [2289]~E(x22891,x22892)+E(f789(x22893,x22891,x22894,x22895,x22896),f789(x22893,x22892,x22894,x22895,x22896))
% 119.46/119.27 [2290]~E(x22901,x22902)+E(f789(x22903,x22904,x22901,x22905,x22906),f789(x22903,x22904,x22902,x22905,x22906))
% 119.46/119.27 [2291]~E(x22911,x22912)+E(f789(x22913,x22914,x22915,x22911,x22916),f789(x22913,x22914,x22915,x22912,x22916))
% 119.46/119.27 [2292]~E(x22921,x22922)+E(f789(x22923,x22924,x22925,x22926,x22921),f789(x22923,x22924,x22925,x22926,x22922))
% 119.46/119.27 [2293]~E(x22931,x22932)+E(f341(x22931,x22933),f341(x22932,x22933))
% 119.46/119.27 [2294]~E(x22941,x22942)+E(f341(x22943,x22941),f341(x22943,x22942))
% 119.46/119.27 [2295]~E(x22951,x22952)+E(f740(x22951,x22953),f740(x22952,x22953))
% 119.46/119.27 [2296]~E(x22961,x22962)+E(f740(x22963,x22961),f740(x22963,x22962))
% 119.46/119.27 [2297]~E(x22971,x22972)+E(f194(x22971),f194(x22972))
% 119.46/119.27 [2298]~E(x22981,x22982)+E(f631(x22981,x22983,x22984),f631(x22982,x22983,x22984))
% 119.46/119.27 [2299]~E(x22991,x22992)+E(f631(x22993,x22991,x22994),f631(x22993,x22992,x22994))
% 119.46/119.27 [2300]~E(x23001,x23002)+E(f631(x23003,x23004,x23001),f631(x23003,x23004,x23002))
% 119.46/119.27 [2301]~E(x23011,x23012)+E(f719(x23011,x23013,x23014),f719(x23012,x23013,x23014))
% 119.46/119.27 [2302]~E(x23021,x23022)+E(f719(x23023,x23021,x23024),f719(x23023,x23022,x23024))
% 119.46/119.27 [2303]~E(x23031,x23032)+E(f719(x23033,x23034,x23031),f719(x23033,x23034,x23032))
% 119.46/119.27 [2304]~E(x23041,x23042)+E(f711(x23041,x23043),f711(x23042,x23043))
% 119.46/119.27 [2305]~E(x23051,x23052)+E(f711(x23053,x23051),f711(x23053,x23052))
% 119.46/119.27 [2306]~E(x23061,x23062)+E(f397(x23061,x23063,x23064,x23065),f397(x23062,x23063,x23064,x23065))
% 119.46/119.27 [2307]~E(x23071,x23072)+E(f397(x23073,x23071,x23074,x23075),f397(x23073,x23072,x23074,x23075))
% 119.46/119.27 [2308]~E(x23081,x23082)+E(f397(x23083,x23084,x23081,x23085),f397(x23083,x23084,x23082,x23085))
% 119.46/119.27 [2309]~E(x23091,x23092)+E(f397(x23093,x23094,x23095,x23091),f397(x23093,x23094,x23095,x23092))
% 119.46/119.27 [2310]~E(x23101,x23102)+E(f713(x23101,x23103,x23104,x23105,x23106),f713(x23102,x23103,x23104,x23105,x23106))
% 119.46/119.27 [2311]~E(x23111,x23112)+E(f713(x23113,x23111,x23114,x23115,x23116),f713(x23113,x23112,x23114,x23115,x23116))
% 119.46/119.27 [2312]~E(x23121,x23122)+E(f713(x23123,x23124,x23121,x23125,x23126),f713(x23123,x23124,x23122,x23125,x23126))
% 119.46/119.27 [2313]~E(x23131,x23132)+E(f713(x23133,x23134,x23135,x23131,x23136),f713(x23133,x23134,x23135,x23132,x23136))
% 119.46/119.27 [2314]~E(x23141,x23142)+E(f713(x23143,x23144,x23145,x23146,x23141),f713(x23143,x23144,x23145,x23146,x23142))
% 119.46/119.27 [2315]~E(x23151,x23152)+E(f612(x23151,x23153,x23154),f612(x23152,x23153,x23154))
% 119.46/119.27 [2316]~E(x23161,x23162)+E(f612(x23163,x23161,x23164),f612(x23163,x23162,x23164))
% 119.46/119.27 [2317]~E(x23171,x23172)+E(f612(x23173,x23174,x23171),f612(x23173,x23174,x23172))
% 119.46/119.27 [2318]~E(x23181,x23182)+E(f325(x23181,x23183,x23184,x23185),f325(x23182,x23183,x23184,x23185))
% 119.46/119.27 [2319]~E(x23191,x23192)+E(f325(x23193,x23191,x23194,x23195),f325(x23193,x23192,x23194,x23195))
% 119.46/119.27 [2320]~E(x23201,x23202)+E(f325(x23203,x23204,x23201,x23205),f325(x23203,x23204,x23202,x23205))
% 119.46/119.27 [2321]~E(x23211,x23212)+E(f325(x23213,x23214,x23215,x23211),f325(x23213,x23214,x23215,x23212))
% 119.46/119.27 [2322]~E(x23221,x23222)+E(f671(x23221,x23223,x23224,x23225,x23226),f671(x23222,x23223,x23224,x23225,x23226))
% 119.46/119.27 [2323]~E(x23231,x23232)+E(f671(x23233,x23231,x23234,x23235,x23236),f671(x23233,x23232,x23234,x23235,x23236))
% 119.46/119.27 [2324]~E(x23241,x23242)+E(f671(x23243,x23244,x23241,x23245,x23246),f671(x23243,x23244,x23242,x23245,x23246))
% 119.46/119.27 [2325]~E(x23251,x23252)+E(f671(x23253,x23254,x23255,x23251,x23256),f671(x23253,x23254,x23255,x23252,x23256))
% 119.46/119.27 [2326]~E(x23261,x23262)+E(f671(x23263,x23264,x23265,x23266,x23261),f671(x23263,x23264,x23265,x23266,x23262))
% 119.46/119.27 [2327]~E(x23271,x23272)+E(f877(x23271,x23273,x23274,x23275),f877(x23272,x23273,x23274,x23275))
% 119.46/119.27 [2328]~E(x23281,x23282)+E(f877(x23283,x23281,x23284,x23285),f877(x23283,x23282,x23284,x23285))
% 119.46/119.27 [2329]~E(x23291,x23292)+E(f877(x23293,x23294,x23291,x23295),f877(x23293,x23294,x23292,x23295))
% 119.46/119.27 [2330]~E(x23301,x23302)+E(f877(x23303,x23304,x23305,x23301),f877(x23303,x23304,x23305,x23302))
% 119.46/119.27 [2331]~E(x23311,x23312)+E(f456(x23311,x23313,x23314,x23315),f456(x23312,x23313,x23314,x23315))
% 119.46/119.27 [2332]~E(x23321,x23322)+E(f456(x23323,x23321,x23324,x23325),f456(x23323,x23322,x23324,x23325))
% 119.46/119.27 [2333]~E(x23331,x23332)+E(f456(x23333,x23334,x23331,x23335),f456(x23333,x23334,x23332,x23335))
% 119.46/119.27 [2334]~E(x23341,x23342)+E(f456(x23343,x23344,x23345,x23341),f456(x23343,x23344,x23345,x23342))
% 119.46/119.27 [2335]~E(x23351,x23352)+E(f483(x23351,x23353,x23354,x23355,x23356,x23357,x23358,x23359),f483(x23352,x23353,x23354,x23355,x23356,x23357,x23358,x23359))
% 119.46/119.27 [2336]~E(x23361,x23362)+E(f483(x23363,x23361,x23364,x23365,x23366,x23367,x23368,x23369),f483(x23363,x23362,x23364,x23365,x23366,x23367,x23368,x23369))
% 119.46/119.27 [2337]~E(x23371,x23372)+E(f483(x23373,x23374,x23371,x23375,x23376,x23377,x23378,x23379),f483(x23373,x23374,x23372,x23375,x23376,x23377,x23378,x23379))
% 119.46/119.27 [2338]~E(x23381,x23382)+E(f483(x23383,x23384,x23385,x23381,x23386,x23387,x23388,x23389),f483(x23383,x23384,x23385,x23382,x23386,x23387,x23388,x23389))
% 119.46/119.27 [2339]~E(x23391,x23392)+E(f483(x23393,x23394,x23395,x23396,x23391,x23397,x23398,x23399),f483(x23393,x23394,x23395,x23396,x23392,x23397,x23398,x23399))
% 119.46/119.27 [2340]~E(x23401,x23402)+E(f483(x23403,x23404,x23405,x23406,x23407,x23401,x23408,x23409),f483(x23403,x23404,x23405,x23406,x23407,x23402,x23408,x23409))
% 119.46/119.27 [2341]~E(x23411,x23412)+E(f483(x23413,x23414,x23415,x23416,x23417,x23418,x23411,x23419),f483(x23413,x23414,x23415,x23416,x23417,x23418,x23412,x23419))
% 119.46/119.27 [2342]~E(x23421,x23422)+E(f483(x23423,x23424,x23425,x23426,x23427,x23428,x23429,x23421),f483(x23423,x23424,x23425,x23426,x23427,x23428,x23429,x23422))
% 119.46/119.27 [2343]~E(x23431,x23432)+E(f729(x23431,x23433,x23434),f729(x23432,x23433,x23434))
% 119.46/119.27 [2344]~E(x23441,x23442)+E(f729(x23443,x23441,x23444),f729(x23443,x23442,x23444))
% 119.46/119.27 [2345]~E(x23451,x23452)+E(f729(x23453,x23454,x23451),f729(x23453,x23454,x23452))
% 119.46/119.27 [2346]~E(x23461,x23462)+E(f680(x23461,x23463,x23464),f680(x23462,x23463,x23464))
% 119.46/119.27 [2347]~E(x23471,x23472)+E(f680(x23473,x23471,x23474),f680(x23473,x23472,x23474))
% 119.46/119.27 [2348]~E(x23481,x23482)+E(f680(x23483,x23484,x23481),f680(x23483,x23484,x23482))
% 119.46/119.27 [2349]~E(x23491,x23492)+E(f470(x23491,x23493,x23494,x23495,x23496),f470(x23492,x23493,x23494,x23495,x23496))
% 119.46/119.27 [2350]~E(x23501,x23502)+E(f470(x23503,x23501,x23504,x23505,x23506),f470(x23503,x23502,x23504,x23505,x23506))
% 119.46/119.27 [2351]~E(x23511,x23512)+E(f470(x23513,x23514,x23511,x23515,x23516),f470(x23513,x23514,x23512,x23515,x23516))
% 119.46/119.27 [2352]~E(x23521,x23522)+E(f470(x23523,x23524,x23525,x23521,x23526),f470(x23523,x23524,x23525,x23522,x23526))
% 119.46/119.27 [2353]~E(x23531,x23532)+E(f470(x23533,x23534,x23535,x23536,x23531),f470(x23533,x23534,x23535,x23536,x23532))
% 119.46/119.27 [2354]~E(x23541,x23542)+E(f681(x23541,x23543,x23544),f681(x23542,x23543,x23544))
% 119.46/119.27 [2355]~E(x23551,x23552)+E(f681(x23553,x23551,x23554),f681(x23553,x23552,x23554))
% 119.46/119.27 [2356]~E(x23561,x23562)+E(f681(x23563,x23564,x23561),f681(x23563,x23564,x23562))
% 119.46/119.27 [2357]~E(x23571,x23572)+E(f19(x23571,x23573,x23574,x23575),f19(x23572,x23573,x23574,x23575))
% 119.46/119.27 [2358]~E(x23581,x23582)+E(f19(x23583,x23581,x23584,x23585),f19(x23583,x23582,x23584,x23585))
% 119.46/119.27 [2359]~E(x23591,x23592)+E(f19(x23593,x23594,x23591,x23595),f19(x23593,x23594,x23592,x23595))
% 119.46/119.27 [2360]~E(x23601,x23602)+E(f19(x23603,x23604,x23605,x23601),f19(x23603,x23604,x23605,x23602))
% 119.46/119.27 [2361]~E(x23611,x23612)+E(f591(x23611,x23613,x23614),f591(x23612,x23613,x23614))
% 119.46/119.27 [2362]~E(x23621,x23622)+E(f591(x23623,x23621,x23624),f591(x23623,x23622,x23624))
% 119.46/119.27 [2363]~E(x23631,x23632)+E(f591(x23633,x23634,x23631),f591(x23633,x23634,x23632))
% 119.46/119.27 [2364]~E(x23641,x23642)+E(f626(x23641,x23643,x23644,x23645),f626(x23642,x23643,x23644,x23645))
% 119.46/119.27 [2365]~E(x23651,x23652)+E(f626(x23653,x23651,x23654,x23655),f626(x23653,x23652,x23654,x23655))
% 119.46/119.27 [2366]~E(x23661,x23662)+E(f626(x23663,x23664,x23661,x23665),f626(x23663,x23664,x23662,x23665))
% 119.46/119.27 [2367]~E(x23671,x23672)+E(f626(x23673,x23674,x23675,x23671),f626(x23673,x23674,x23675,x23672))
% 119.46/119.27 [2368]~E(x23681,x23682)+E(f321(x23681,x23683),f321(x23682,x23683))
% 119.46/119.27 [2369]~E(x23691,x23692)+E(f321(x23693,x23691),f321(x23693,x23692))
% 119.46/119.27 [2370]~E(x23701,x23702)+E(f608(x23701,x23703,x23704),f608(x23702,x23703,x23704))
% 119.46/119.27 [2371]~E(x23711,x23712)+E(f608(x23713,x23711,x23714),f608(x23713,x23712,x23714))
% 119.46/119.27 [2372]~E(x23721,x23722)+E(f608(x23723,x23724,x23721),f608(x23723,x23724,x23722))
% 119.46/119.27 [2373]~E(x23731,x23732)+E(f584(x23731,x23733,x23734),f584(x23732,x23733,x23734))
% 119.46/119.27 [2374]~E(x23741,x23742)+E(f584(x23743,x23741,x23744),f584(x23743,x23742,x23744))
% 119.46/119.27 [2375]~E(x23751,x23752)+E(f584(x23753,x23754,x23751),f584(x23753,x23754,x23752))
% 119.46/119.27 [2376]~E(x23761,x23762)+E(f756(x23761,x23763),f756(x23762,x23763))
% 119.46/119.27 [2377]~E(x23771,x23772)+E(f756(x23773,x23771),f756(x23773,x23772))
% 119.46/119.27 [2378]~E(x23781,x23782)+E(f429(x23781,x23783,x23784),f429(x23782,x23783,x23784))
% 119.46/119.27 [2379]~E(x23791,x23792)+E(f429(x23793,x23791,x23794),f429(x23793,x23792,x23794))
% 119.46/119.27 [2380]~E(x23801,x23802)+E(f429(x23803,x23804,x23801),f429(x23803,x23804,x23802))
% 119.46/119.27 [2381]~E(x23811,x23812)+E(f193(x23811,x23813,x23814),f193(x23812,x23813,x23814))
% 119.46/119.27 [2382]~E(x23821,x23822)+E(f193(x23823,x23821,x23824),f193(x23823,x23822,x23824))
% 119.46/119.27 [2383]~E(x23831,x23832)+E(f193(x23833,x23834,x23831),f193(x23833,x23834,x23832))
% 119.46/119.27 [2384]~E(x23841,x23842)+E(f736(x23841,x23843,x23844),f736(x23842,x23843,x23844))
% 119.46/119.27 [2385]~E(x23851,x23852)+E(f736(x23853,x23851,x23854),f736(x23853,x23852,x23854))
% 119.46/119.27 [2386]~E(x23861,x23862)+E(f736(x23863,x23864,x23861),f736(x23863,x23864,x23862))
% 119.46/119.27 [2387]~E(x23871,x23872)+E(f728(x23871,x23873,x23874),f728(x23872,x23873,x23874))
% 119.46/119.27 [2388]~E(x23881,x23882)+E(f728(x23883,x23881,x23884),f728(x23883,x23882,x23884))
% 119.46/119.27 [2389]~E(x23891,x23892)+E(f728(x23893,x23894,x23891),f728(x23893,x23894,x23892))
% 119.46/119.27 [2390]~E(x23901,x23902)+E(f593(x23901,x23903,x23904,x23905),f593(x23902,x23903,x23904,x23905))
% 119.46/119.27 [2391]~E(x23911,x23912)+E(f593(x23913,x23911,x23914,x23915),f593(x23913,x23912,x23914,x23915))
% 119.46/119.27 [2392]~E(x23921,x23922)+E(f593(x23923,x23924,x23921,x23925),f593(x23923,x23924,x23922,x23925))
% 119.46/119.27 [2393]~E(x23931,x23932)+E(f593(x23933,x23934,x23935,x23931),f593(x23933,x23934,x23935,x23932))
% 119.46/119.27 [2394]~E(x23941,x23942)+E(f718(x23941,x23943,x23944),f718(x23942,x23943,x23944))
% 119.46/119.27 [2395]~E(x23951,x23952)+E(f718(x23953,x23951,x23954),f718(x23953,x23952,x23954))
% 119.46/119.27 [2396]~E(x23961,x23962)+E(f718(x23963,x23964,x23961),f718(x23963,x23964,x23962))
% 119.46/119.27 [2397]~E(x23971,x23972)+E(f647(x23971,x23973,x23974,x23975),f647(x23972,x23973,x23974,x23975))
% 119.46/119.27 [2398]~E(x23981,x23982)+E(f647(x23983,x23981,x23984,x23985),f647(x23983,x23982,x23984,x23985))
% 119.46/119.27 [2399]~E(x23991,x23992)+E(f647(x23993,x23994,x23991,x23995),f647(x23993,x23994,x23992,x23995))
% 119.46/119.27 [2400]~E(x24001,x24002)+E(f647(x24003,x24004,x24005,x24001),f647(x24003,x24004,x24005,x24002))
% 119.46/119.27 [2401]~E(x24011,x24012)+E(f826(x24011,x24013,x24014),f826(x24012,x24013,x24014))
% 119.46/119.27 [2402]~E(x24021,x24022)+E(f826(x24023,x24021,x24024),f826(x24023,x24022,x24024))
% 119.46/119.27 [2403]~E(x24031,x24032)+E(f826(x24033,x24034,x24031),f826(x24033,x24034,x24032))
% 119.46/119.27 [2404]~E(x24041,x24042)+E(f703(x24041,x24043,x24044),f703(x24042,x24043,x24044))
% 119.46/119.27 [2405]~E(x24051,x24052)+E(f703(x24053,x24051,x24054),f703(x24053,x24052,x24054))
% 119.46/119.27 [2406]~E(x24061,x24062)+E(f703(x24063,x24064,x24061),f703(x24063,x24064,x24062))
% 119.46/119.27 [2407]~E(x24071,x24072)+E(f393(x24071,x24073,x24074,x24075),f393(x24072,x24073,x24074,x24075))
% 119.46/119.27 [2408]~E(x24081,x24082)+E(f393(x24083,x24081,x24084,x24085),f393(x24083,x24082,x24084,x24085))
% 119.46/119.27 [2409]~E(x24091,x24092)+E(f393(x24093,x24094,x24091,x24095),f393(x24093,x24094,x24092,x24095))
% 119.46/119.27 [2410]~E(x24101,x24102)+E(f393(x24103,x24104,x24105,x24101),f393(x24103,x24104,x24105,x24102))
% 119.46/119.27 [2411]~E(x24111,x24112)+E(f784(x24111,x24113,x24114),f784(x24112,x24113,x24114))
% 119.46/119.27 [2412]~E(x24121,x24122)+E(f784(x24123,x24121,x24124),f784(x24123,x24122,x24124))
% 119.46/119.27 [2413]~E(x24131,x24132)+E(f784(x24133,x24134,x24131),f784(x24133,x24134,x24132))
% 119.46/119.27 [2414]~E(x24141,x24142)+E(f598(x24141,x24143),f598(x24142,x24143))
% 119.46/119.27 [2415]~E(x24151,x24152)+E(f598(x24153,x24151),f598(x24153,x24152))
% 119.46/119.27 [2416]~E(x24161,x24162)+E(f577(x24161,x24163,x24164,x24165,x24166,x24167),f577(x24162,x24163,x24164,x24165,x24166,x24167))
% 119.46/119.27 [2417]~E(x24171,x24172)+E(f577(x24173,x24171,x24174,x24175,x24176,x24177),f577(x24173,x24172,x24174,x24175,x24176,x24177))
% 119.46/119.27 [2418]~E(x24181,x24182)+E(f577(x24183,x24184,x24181,x24185,x24186,x24187),f577(x24183,x24184,x24182,x24185,x24186,x24187))
% 119.46/119.27 [2419]~E(x24191,x24192)+E(f577(x24193,x24194,x24195,x24191,x24196,x24197),f577(x24193,x24194,x24195,x24192,x24196,x24197))
% 119.46/119.27 [2420]~E(x24201,x24202)+E(f577(x24203,x24204,x24205,x24206,x24201,x24207),f577(x24203,x24204,x24205,x24206,x24202,x24207))
% 119.46/119.27 [2421]~E(x24211,x24212)+E(f577(x24213,x24214,x24215,x24216,x24217,x24211),f577(x24213,x24214,x24215,x24216,x24217,x24212))
% 119.46/119.27 [2422]~E(x24221,x24222)+E(f319(x24221),f319(x24222))
% 119.46/119.27 [2423]~E(x24231,x24232)+E(f518(x24231,x24233,x24234,x24235,x24236,x24237),f518(x24232,x24233,x24234,x24235,x24236,x24237))
% 119.46/119.27 [2424]~E(x24241,x24242)+E(f518(x24243,x24241,x24244,x24245,x24246,x24247),f518(x24243,x24242,x24244,x24245,x24246,x24247))
% 119.46/119.27 [2425]~E(x24251,x24252)+E(f518(x24253,x24254,x24251,x24255,x24256,x24257),f518(x24253,x24254,x24252,x24255,x24256,x24257))
% 119.46/119.27 [2426]~E(x24261,x24262)+E(f518(x24263,x24264,x24265,x24261,x24266,x24267),f518(x24263,x24264,x24265,x24262,x24266,x24267))
% 119.46/119.27 [2427]~E(x24271,x24272)+E(f518(x24273,x24274,x24275,x24276,x24271,x24277),f518(x24273,x24274,x24275,x24276,x24272,x24277))
% 119.46/119.27 [2428]~E(x24281,x24282)+E(f518(x24283,x24284,x24285,x24286,x24287,x24281),f518(x24283,x24284,x24285,x24286,x24287,x24282))
% 119.46/119.27 [2429]~E(x24291,x24292)+E(f370(x24291,x24293,x24294,x24295),f370(x24292,x24293,x24294,x24295))
% 119.46/119.27 [2430]~E(x24301,x24302)+E(f370(x24303,x24301,x24304,x24305),f370(x24303,x24302,x24304,x24305))
% 119.46/119.27 [2431]~E(x24311,x24312)+E(f370(x24313,x24314,x24311,x24315),f370(x24313,x24314,x24312,x24315))
% 119.46/119.27 [2432]~E(x24321,x24322)+E(f370(x24323,x24324,x24325,x24321),f370(x24323,x24324,x24325,x24322))
% 119.46/119.27 [2433]~E(x24331,x24332)+E(f495(x24331,x24333,x24334,x24335),f495(x24332,x24333,x24334,x24335))
% 119.46/119.27 [2434]~E(x24341,x24342)+E(f495(x24343,x24341,x24344,x24345),f495(x24343,x24342,x24344,x24345))
% 119.46/119.27 [2435]~E(x24351,x24352)+E(f495(x24353,x24354,x24351,x24355),f495(x24353,x24354,x24352,x24355))
% 119.46/119.27 [2436]~E(x24361,x24362)+E(f495(x24363,x24364,x24365,x24361),f495(x24363,x24364,x24365,x24362))
% 119.46/119.27 [2437]~E(x24371,x24372)+E(f644(x24371,x24373,x24374,x24375),f644(x24372,x24373,x24374,x24375))
% 119.46/119.27 [2438]~E(x24381,x24382)+E(f644(x24383,x24381,x24384,x24385),f644(x24383,x24382,x24384,x24385))
% 119.46/119.27 [2439]~E(x24391,x24392)+E(f644(x24393,x24394,x24391,x24395),f644(x24393,x24394,x24392,x24395))
% 119.46/119.27 [2440]~E(x24401,x24402)+E(f644(x24403,x24404,x24405,x24401),f644(x24403,x24404,x24405,x24402))
% 119.46/119.27 [2441]~E(x24411,x24412)+E(f761(x24411,x24413,x24414,x24415,x24416),f761(x24412,x24413,x24414,x24415,x24416))
% 119.46/119.27 [2442]~E(x24421,x24422)+E(f761(x24423,x24421,x24424,x24425,x24426),f761(x24423,x24422,x24424,x24425,x24426))
% 119.46/119.27 [2443]~E(x24431,x24432)+E(f761(x24433,x24434,x24431,x24435,x24436),f761(x24433,x24434,x24432,x24435,x24436))
% 119.46/119.27 [2444]~E(x24441,x24442)+E(f761(x24443,x24444,x24445,x24441,x24446),f761(x24443,x24444,x24445,x24442,x24446))
% 119.46/119.27 [2445]~E(x24451,x24452)+E(f761(x24453,x24454,x24455,x24456,x24451),f761(x24453,x24454,x24455,x24456,x24452))
% 119.46/119.27 [2446]~E(x24461,x24462)+E(f551(x24461,x24463),f551(x24462,x24463))
% 119.46/119.27 [2447]~E(x24471,x24472)+E(f551(x24473,x24471),f551(x24473,x24472))
% 119.46/119.27 [2448]~E(x24481,x24482)+E(f731(x24481,x24483),f731(x24482,x24483))
% 119.46/119.27 [2449]~E(x24491,x24492)+E(f731(x24493,x24491),f731(x24493,x24492))
% 119.46/119.27 [2450]~E(x24501,x24502)+E(f190(x24501),f190(x24502))
% 119.46/119.27 [2451]~E(x24511,x24512)+E(f417(x24511,x24513),f417(x24512,x24513))
% 119.46/119.27 [2452]~E(x24521,x24522)+E(f417(x24523,x24521),f417(x24523,x24522))
% 119.46/119.27 [2453]~E(x24531,x24532)+E(f451(x24531),f451(x24532))
% 119.46/119.27 [2454]~E(x24541,x24542)+E(f677(x24541,x24543,x24544),f677(x24542,x24543,x24544))
% 119.46/119.27 [2455]~E(x24551,x24552)+E(f677(x24553,x24551,x24554),f677(x24553,x24552,x24554))
% 119.46/119.27 [2456]~E(x24561,x24562)+E(f677(x24563,x24564,x24561),f677(x24563,x24564,x24562))
% 119.46/119.27 [2457]~E(x24571,x24572)+E(f255(x24571),f255(x24572))
% 119.46/119.27 [2458]~E(x24581,x24582)+E(f317(x24581,x24583,x24584,x24585),f317(x24582,x24583,x24584,x24585))
% 119.46/119.27 [2459]~E(x24591,x24592)+E(f317(x24593,x24591,x24594,x24595),f317(x24593,x24592,x24594,x24595))
% 119.46/119.27 [2460]~E(x24601,x24602)+E(f317(x24603,x24604,x24601,x24605),f317(x24603,x24604,x24602,x24605))
% 119.46/119.27 [2461]~E(x24611,x24612)+E(f317(x24613,x24614,x24615,x24611),f317(x24613,x24614,x24615,x24612))
% 119.46/119.27 [2462]~E(x24621,x24622)+E(f824(x24621,x24623),f824(x24622,x24623))
% 119.46/119.27 [2463]~E(x24631,x24632)+E(f824(x24633,x24631),f824(x24633,x24632))
% 119.46/119.27 [2464]~E(x24641,x24642)+E(f632(x24641,x24643,x24644),f632(x24642,x24643,x24644))
% 119.46/119.27 [2465]~E(x24651,x24652)+E(f632(x24653,x24651,x24654),f632(x24653,x24652,x24654))
% 119.46/119.27 [2466]~E(x24661,x24662)+E(f632(x24663,x24664,x24661),f632(x24663,x24664,x24662))
% 119.46/119.27 [2467]~E(x24671,x24672)+E(f821(x24671,x24673),f821(x24672,x24673))
% 119.46/119.27 [2468]~E(x24681,x24682)+E(f821(x24683,x24681),f821(x24683,x24682))
% 119.46/119.27 [2469]~E(x24691,x24692)+E(f857(x24691,x24693),f857(x24692,x24693))
% 119.46/119.27 [2470]~E(x24701,x24702)+E(f857(x24703,x24701),f857(x24703,x24702))
% 119.46/119.27 [2471]~E(x24711,x24712)+E(f327(x24711,x24713,x24714,x24715,x24716),f327(x24712,x24713,x24714,x24715,x24716))
% 119.46/119.27 [2472]~E(x24721,x24722)+E(f327(x24723,x24721,x24724,x24725,x24726),f327(x24723,x24722,x24724,x24725,x24726))
% 119.46/119.27 [2473]~E(x24731,x24732)+E(f327(x24733,x24734,x24731,x24735,x24736),f327(x24733,x24734,x24732,x24735,x24736))
% 119.46/119.27 [2474]~E(x24741,x24742)+E(f327(x24743,x24744,x24745,x24741,x24746),f327(x24743,x24744,x24745,x24742,x24746))
% 119.46/119.27 [2475]~E(x24751,x24752)+E(f327(x24753,x24754,x24755,x24756,x24751),f327(x24753,x24754,x24755,x24756,x24752))
% 119.46/119.27 [2476]~E(x24761,x24762)+E(f837(x24761,x24763,x24764,x24765,x24766),f837(x24762,x24763,x24764,x24765,x24766))
% 119.46/119.27 [2477]~E(x24771,x24772)+E(f837(x24773,x24771,x24774,x24775,x24776),f837(x24773,x24772,x24774,x24775,x24776))
% 119.46/119.27 [2478]~E(x24781,x24782)+E(f837(x24783,x24784,x24781,x24785,x24786),f837(x24783,x24784,x24782,x24785,x24786))
% 119.46/119.27 [2479]~E(x24791,x24792)+E(f837(x24793,x24794,x24795,x24791,x24796),f837(x24793,x24794,x24795,x24792,x24796))
% 119.46/119.27 [2480]~E(x24801,x24802)+E(f837(x24803,x24804,x24805,x24806,x24801),f837(x24803,x24804,x24805,x24806,x24802))
% 119.46/119.27 [2481]~E(x24811,x24812)+E(f765(x24811,x24813,x24814,x24815,x24816,x24817,x24818),f765(x24812,x24813,x24814,x24815,x24816,x24817,x24818))
% 119.46/119.27 [2482]~E(x24821,x24822)+E(f765(x24823,x24821,x24824,x24825,x24826,x24827,x24828),f765(x24823,x24822,x24824,x24825,x24826,x24827,x24828))
% 119.46/119.27 [2483]~E(x24831,x24832)+E(f765(x24833,x24834,x24831,x24835,x24836,x24837,x24838),f765(x24833,x24834,x24832,x24835,x24836,x24837,x24838))
% 119.46/119.27 [2484]~E(x24841,x24842)+E(f765(x24843,x24844,x24845,x24841,x24846,x24847,x24848),f765(x24843,x24844,x24845,x24842,x24846,x24847,x24848))
% 119.46/119.27 [2485]~E(x24851,x24852)+E(f765(x24853,x24854,x24855,x24856,x24851,x24857,x24858),f765(x24853,x24854,x24855,x24856,x24852,x24857,x24858))
% 119.46/119.27 [2486]~E(x24861,x24862)+E(f765(x24863,x24864,x24865,x24866,x24867,x24861,x24868),f765(x24863,x24864,x24865,x24866,x24867,x24862,x24868))
% 119.46/119.27 [2487]~E(x24871,x24872)+E(f765(x24873,x24874,x24875,x24876,x24877,x24878,x24871),f765(x24873,x24874,x24875,x24876,x24877,x24878,x24872))
% 119.46/119.27 [2488]~E(x24881,x24882)+E(f359(x24881,x24883,x24884,x24885,x24886),f359(x24882,x24883,x24884,x24885,x24886))
% 119.46/119.27 [2489]~E(x24891,x24892)+E(f359(x24893,x24891,x24894,x24895,x24896),f359(x24893,x24892,x24894,x24895,x24896))
% 119.46/119.27 [2490]~E(x24901,x24902)+E(f359(x24903,x24904,x24901,x24905,x24906),f359(x24903,x24904,x24902,x24905,x24906))
% 119.46/119.27 [2491]~E(x24911,x24912)+E(f359(x24913,x24914,x24915,x24911,x24916),f359(x24913,x24914,x24915,x24912,x24916))
% 119.46/119.27 [2492]~E(x24921,x24922)+E(f359(x24923,x24924,x24925,x24926,x24921),f359(x24923,x24924,x24925,x24926,x24922))
% 119.46/119.27 [2493]~E(x24931,x24932)+E(f195(x24931,x24933,x24934,x24935),f195(x24932,x24933,x24934,x24935))
% 119.46/119.27 [2494]~E(x24941,x24942)+E(f195(x24943,x24941,x24944,x24945),f195(x24943,x24942,x24944,x24945))
% 119.46/119.27 [2495]~E(x24951,x24952)+E(f195(x24953,x24954,x24951,x24955),f195(x24953,x24954,x24952,x24955))
% 119.46/119.27 [2496]~E(x24961,x24962)+E(f195(x24963,x24964,x24965,x24961),f195(x24963,x24964,x24965,x24962))
% 119.46/119.27 [2497]~E(x24971,x24972)+E(f556(x24971,x24973,x24974,x24975),f556(x24972,x24973,x24974,x24975))
% 119.46/119.27 [2498]~E(x24981,x24982)+E(f556(x24983,x24981,x24984,x24985),f556(x24983,x24982,x24984,x24985))
% 119.46/119.27 [2499]~E(x24991,x24992)+E(f556(x24993,x24994,x24991,x24995),f556(x24993,x24994,x24992,x24995))
% 119.46/119.27 [2500]~E(x25001,x25002)+E(f556(x25003,x25004,x25005,x25001),f556(x25003,x25004,x25005,x25002))
% 119.46/119.27 [2501]~E(x25011,x25012)+E(f414(x25011,x25013),f414(x25012,x25013))
% 119.46/119.27 [2502]~E(x25021,x25022)+E(f414(x25023,x25021),f414(x25023,x25022))
% 119.46/119.27 [2503]~E(x25031,x25032)+E(f218(x25031,x25033,x25034),f218(x25032,x25033,x25034))
% 119.46/119.27 [2504]~E(x25041,x25042)+E(f218(x25043,x25041,x25044),f218(x25043,x25042,x25044))
% 119.46/119.27 [2505]~E(x25051,x25052)+E(f218(x25053,x25054,x25051),f218(x25053,x25054,x25052))
% 119.46/119.27 [2506]~E(x25061,x25062)+E(f695(x25061,x25063,x25064,x25065),f695(x25062,x25063,x25064,x25065))
% 119.46/119.27 [2507]~E(x25071,x25072)+E(f695(x25073,x25071,x25074,x25075),f695(x25073,x25072,x25074,x25075))
% 119.46/119.27 [2508]~E(x25081,x25082)+E(f695(x25083,x25084,x25081,x25085),f695(x25083,x25084,x25082,x25085))
% 119.46/119.27 [2509]~E(x25091,x25092)+E(f695(x25093,x25094,x25095,x25091),f695(x25093,x25094,x25095,x25092))
% 119.46/119.27 [2510]~E(x25101,x25102)+E(f489(x25101,x25103,x25104,x25105),f489(x25102,x25103,x25104,x25105))
% 119.46/119.27 [2511]~E(x25111,x25112)+E(f489(x25113,x25111,x25114,x25115),f489(x25113,x25112,x25114,x25115))
% 119.46/119.27 [2512]~E(x25121,x25122)+E(f489(x25123,x25124,x25121,x25125),f489(x25123,x25124,x25122,x25125))
% 119.46/119.27 [2513]~E(x25131,x25132)+E(f489(x25133,x25134,x25135,x25131),f489(x25133,x25134,x25135,x25132))
% 119.46/119.27 [2514]~E(x25141,x25142)+E(f659(x25141,x25143,x25144,x25145,x25146,x25147),f659(x25142,x25143,x25144,x25145,x25146,x25147))
% 119.46/119.27 [2515]~E(x25151,x25152)+E(f659(x25153,x25151,x25154,x25155,x25156,x25157),f659(x25153,x25152,x25154,x25155,x25156,x25157))
% 119.46/119.27 [2516]~E(x25161,x25162)+E(f659(x25163,x25164,x25161,x25165,x25166,x25167),f659(x25163,x25164,x25162,x25165,x25166,x25167))
% 119.46/119.27 [2517]~E(x25171,x25172)+E(f659(x25173,x25174,x25175,x25171,x25176,x25177),f659(x25173,x25174,x25175,x25172,x25176,x25177))
% 119.46/119.27 [2518]~E(x25181,x25182)+E(f659(x25183,x25184,x25185,x25186,x25181,x25187),f659(x25183,x25184,x25185,x25186,x25182,x25187))
% 119.46/119.27 [2519]~E(x25191,x25192)+E(f659(x25193,x25194,x25195,x25196,x25197,x25191),f659(x25193,x25194,x25195,x25196,x25197,x25192))
% 119.46/119.27 [2520]~E(x25201,x25202)+E(f421(x25201,x25203,x25204,x25205),f421(x25202,x25203,x25204,x25205))
% 119.46/119.27 [2521]~E(x25211,x25212)+E(f421(x25213,x25211,x25214,x25215),f421(x25213,x25212,x25214,x25215))
% 119.46/119.27 [2522]~E(x25221,x25222)+E(f421(x25223,x25224,x25221,x25225),f421(x25223,x25224,x25222,x25225))
% 119.46/119.27 [2523]~E(x25231,x25232)+E(f421(x25233,x25234,x25235,x25231),f421(x25233,x25234,x25235,x25232))
% 119.46/119.27 [2524]~E(x25241,x25242)+E(f804(x25241,x25243),f804(x25242,x25243))
% 119.46/119.27 [2525]~E(x25251,x25252)+E(f804(x25253,x25251),f804(x25253,x25252))
% 119.46/119.27 [2526]~E(x25261,x25262)+E(f733(x25261,x25263,x25264),f733(x25262,x25263,x25264))
% 119.46/119.27 [2527]~E(x25271,x25272)+E(f733(x25273,x25271,x25274),f733(x25273,x25272,x25274))
% 119.46/119.27 [2528]~E(x25281,x25282)+E(f733(x25283,x25284,x25281),f733(x25283,x25284,x25282))
% 119.46/119.27 [2529]~E(x25291,x25292)+E(f529(x25291),f529(x25292))
% 119.46/119.27 [2530]~E(x25301,x25302)+E(f531(x25301,x25303,x25304,x25305,x25306),f531(x25302,x25303,x25304,x25305,x25306))
% 119.46/119.27 [2531]~E(x25311,x25312)+E(f531(x25313,x25311,x25314,x25315,x25316),f531(x25313,x25312,x25314,x25315,x25316))
% 119.46/119.27 [2532]~E(x25321,x25322)+E(f531(x25323,x25324,x25321,x25325,x25326),f531(x25323,x25324,x25322,x25325,x25326))
% 119.46/119.27 [2533]~E(x25331,x25332)+E(f531(x25333,x25334,x25335,x25331,x25336),f531(x25333,x25334,x25335,x25332,x25336))
% 119.46/119.27 [2534]~E(x25341,x25342)+E(f531(x25343,x25344,x25345,x25346,x25341),f531(x25343,x25344,x25345,x25346,x25342))
% 119.46/119.27 [2535]~E(x25351,x25352)+E(f707(x25351,x25353,x25354),f707(x25352,x25353,x25354))
% 119.46/119.27 [2536]~E(x25361,x25362)+E(f707(x25363,x25361,x25364),f707(x25363,x25362,x25364))
% 119.46/119.27 [2537]~E(x25371,x25372)+E(f707(x25373,x25374,x25371),f707(x25373,x25374,x25372))
% 119.46/119.27 [2538]~E(x25381,x25382)+E(f660(x25381,x25383,x25384,x25385,x25386,x25387),f660(x25382,x25383,x25384,x25385,x25386,x25387))
% 119.46/119.27 [2539]~E(x25391,x25392)+E(f660(x25393,x25391,x25394,x25395,x25396,x25397),f660(x25393,x25392,x25394,x25395,x25396,x25397))
% 119.46/119.27 [2540]~E(x25401,x25402)+E(f660(x25403,x25404,x25401,x25405,x25406,x25407),f660(x25403,x25404,x25402,x25405,x25406,x25407))
% 119.46/119.27 [2541]~E(x25411,x25412)+E(f660(x25413,x25414,x25415,x25411,x25416,x25417),f660(x25413,x25414,x25415,x25412,x25416,x25417))
% 119.46/119.27 [2542]~E(x25421,x25422)+E(f660(x25423,x25424,x25425,x25426,x25421,x25427),f660(x25423,x25424,x25425,x25426,x25422,x25427))
% 119.46/119.27 [2543]~E(x25431,x25432)+E(f660(x25433,x25434,x25435,x25436,x25437,x25431),f660(x25433,x25434,x25435,x25436,x25437,x25432))
% 119.46/119.27 [2544]~E(x25441,x25442)+E(f526(x25441,x25443,x25444,x25445,x25446),f526(x25442,x25443,x25444,x25445,x25446))
% 119.46/119.27 [2545]~E(x25451,x25452)+E(f526(x25453,x25451,x25454,x25455,x25456),f526(x25453,x25452,x25454,x25455,x25456))
% 119.46/119.27 [2546]~E(x25461,x25462)+E(f526(x25463,x25464,x25461,x25465,x25466),f526(x25463,x25464,x25462,x25465,x25466))
% 119.46/119.27 [2547]~E(x25471,x25472)+E(f526(x25473,x25474,x25475,x25471,x25476),f526(x25473,x25474,x25475,x25472,x25476))
% 119.46/119.27 [2548]~E(x25481,x25482)+E(f526(x25483,x25484,x25485,x25486,x25481),f526(x25483,x25484,x25485,x25486,x25482))
% 119.46/119.27 [2549]~E(x25491,x25492)+E(f800(x25491,x25493,x25494,x25495,x25496,x25497,x25498),f800(x25492,x25493,x25494,x25495,x25496,x25497,x25498))
% 119.46/119.27 [2550]~E(x25501,x25502)+E(f800(x25503,x25501,x25504,x25505,x25506,x25507,x25508),f800(x25503,x25502,x25504,x25505,x25506,x25507,x25508))
% 119.46/119.27 [2551]~E(x25511,x25512)+E(f800(x25513,x25514,x25511,x25515,x25516,x25517,x25518),f800(x25513,x25514,x25512,x25515,x25516,x25517,x25518))
% 119.46/119.27 [2552]~E(x25521,x25522)+E(f800(x25523,x25524,x25525,x25521,x25526,x25527,x25528),f800(x25523,x25524,x25525,x25522,x25526,x25527,x25528))
% 119.46/119.27 [2553]~E(x25531,x25532)+E(f800(x25533,x25534,x25535,x25536,x25531,x25537,x25538),f800(x25533,x25534,x25535,x25536,x25532,x25537,x25538))
% 119.46/119.27 [2554]~E(x25541,x25542)+E(f800(x25543,x25544,x25545,x25546,x25547,x25541,x25548),f800(x25543,x25544,x25545,x25546,x25547,x25542,x25548))
% 119.46/119.27 [2555]~E(x25551,x25552)+E(f800(x25553,x25554,x25555,x25556,x25557,x25558,x25551),f800(x25553,x25554,x25555,x25556,x25557,x25558,x25552))
% 119.46/119.27 [2556]~E(x25561,x25562)+E(f773(x25561,x25563,x25564),f773(x25562,x25563,x25564))
% 119.46/119.27 [2557]~E(x25571,x25572)+E(f773(x25573,x25571,x25574),f773(x25573,x25572,x25574))
% 119.46/119.27 [2558]~E(x25581,x25582)+E(f773(x25583,x25584,x25581),f773(x25583,x25584,x25582))
% 119.46/119.27 [2559]~E(x25591,x25592)+E(f855(x25591,x25593,x25594,x25595,x25596,x25597,x25598),f855(x25592,x25593,x25594,x25595,x25596,x25597,x25598))
% 119.46/119.27 [2560]~E(x25601,x25602)+E(f855(x25603,x25601,x25604,x25605,x25606,x25607,x25608),f855(x25603,x25602,x25604,x25605,x25606,x25607,x25608))
% 119.46/119.27 [2561]~E(x25611,x25612)+E(f855(x25613,x25614,x25611,x25615,x25616,x25617,x25618),f855(x25613,x25614,x25612,x25615,x25616,x25617,x25618))
% 119.46/119.27 [2562]~E(x25621,x25622)+E(f855(x25623,x25624,x25625,x25621,x25626,x25627,x25628),f855(x25623,x25624,x25625,x25622,x25626,x25627,x25628))
% 119.46/119.27 [2563]~E(x25631,x25632)+E(f855(x25633,x25634,x25635,x25636,x25631,x25637,x25638),f855(x25633,x25634,x25635,x25636,x25632,x25637,x25638))
% 119.46/119.27 [2564]~E(x25641,x25642)+E(f855(x25643,x25644,x25645,x25646,x25647,x25641,x25648),f855(x25643,x25644,x25645,x25646,x25647,x25642,x25648))
% 119.46/119.27 [2565]~E(x25651,x25652)+E(f855(x25653,x25654,x25655,x25656,x25657,x25658,x25651),f855(x25653,x25654,x25655,x25656,x25657,x25658,x25652))
% 119.46/119.27 [2566]~E(x25661,x25662)+E(f810(x25661,x25663,x25664,x25665),f810(x25662,x25663,x25664,x25665))
% 119.46/119.27 [2567]~E(x25671,x25672)+E(f810(x25673,x25671,x25674,x25675),f810(x25673,x25672,x25674,x25675))
% 119.46/119.27 [2568]~E(x25681,x25682)+E(f810(x25683,x25684,x25681,x25685),f810(x25683,x25684,x25682,x25685))
% 119.46/119.27 [2569]~E(x25691,x25692)+E(f810(x25693,x25694,x25695,x25691),f810(x25693,x25694,x25695,x25692))
% 119.46/119.27 [2570]~E(x25701,x25702)+E(f406(x25701,x25703),f406(x25702,x25703))
% 119.46/119.27 [2571]~E(x25711,x25712)+E(f406(x25713,x25711),f406(x25713,x25712))
% 119.46/119.27 [2572]~E(x25721,x25722)+E(f770(x25721,x25723,x25724),f770(x25722,x25723,x25724))
% 119.46/119.27 [2573]~E(x25731,x25732)+E(f770(x25733,x25731,x25734),f770(x25733,x25732,x25734))
% 119.46/119.27 [2574]~E(x25741,x25742)+E(f770(x25743,x25744,x25741),f770(x25743,x25744,x25742))
% 119.46/119.27 [2575]~E(x25751,x25752)+E(f653(x25751,x25753,x25754),f653(x25752,x25753,x25754))
% 119.46/119.27 [2576]~E(x25761,x25762)+E(f653(x25763,x25761,x25764),f653(x25763,x25762,x25764))
% 119.46/119.27 [2577]~E(x25771,x25772)+E(f653(x25773,x25774,x25771),f653(x25773,x25774,x25772))
% 119.46/119.27 [2578]~E(x25781,x25782)+E(f423(x25781,x25783,x25784),f423(x25782,x25783,x25784))
% 119.46/119.27 [2579]~E(x25791,x25792)+E(f423(x25793,x25791,x25794),f423(x25793,x25792,x25794))
% 119.46/119.27 [2580]~E(x25801,x25802)+E(f423(x25803,x25804,x25801),f423(x25803,x25804,x25802))
% 119.46/119.27 [2581]~E(x25811,x25812)+E(f748(x25811,x25813),f748(x25812,x25813))
% 119.46/119.27 [2582]~E(x25821,x25822)+E(f748(x25823,x25821),f748(x25823,x25822))
% 119.46/119.27 [2583]~E(x25831,x25832)+E(f587(x25831,x25833),f587(x25832,x25833))
% 119.46/119.27 [2584]~E(x25841,x25842)+E(f587(x25843,x25841),f587(x25843,x25842))
% 119.46/119.27 [2585]~E(x25851,x25852)+E(f212(x25851,x25853,x25854),f212(x25852,x25853,x25854))
% 119.46/119.27 [2586]~E(x25861,x25862)+E(f212(x25863,x25861,x25864),f212(x25863,x25862,x25864))
% 119.46/119.27 [2587]~E(x25871,x25872)+E(f212(x25873,x25874,x25871),f212(x25873,x25874,x25872))
% 119.46/119.27 [2588]~E(x25881,x25882)+E(f725(x25881,x25883,x25884),f725(x25882,x25883,x25884))
% 119.46/119.27 [2589]~E(x25891,x25892)+E(f725(x25893,x25891,x25894),f725(x25893,x25892,x25894))
% 119.46/119.27 [2590]~E(x25901,x25902)+E(f725(x25903,x25904,x25901),f725(x25903,x25904,x25902))
% 119.46/119.27 [2591]~E(x25911,x25912)+E(f799(x25911,x25913),f799(x25912,x25913))
% 119.46/119.27 [2592]~E(x25921,x25922)+E(f799(x25923,x25921),f799(x25923,x25922))
% 119.46/119.27 [2593]~E(x25931,x25932)+E(f683(x25931,x25933,x25934),f683(x25932,x25933,x25934))
% 119.46/119.27 [2594]~E(x25941,x25942)+E(f683(x25943,x25941,x25944),f683(x25943,x25942,x25944))
% 119.46/119.27 [2595]~E(x25951,x25952)+E(f683(x25953,x25954,x25951),f683(x25953,x25954,x25952))
% 119.46/119.27 [2596]~E(x25961,x25962)+E(f684(x25961,x25963),f684(x25962,x25963))
% 119.46/119.27 [2597]~E(x25971,x25972)+E(f684(x25973,x25971),f684(x25973,x25972))
% 119.46/119.27 [2598]~E(x25981,x25982)+E(f402(x25981,x25983,x25984,x25985,x25986),f402(x25982,x25983,x25984,x25985,x25986))
% 119.46/119.27 [2599]~E(x25991,x25992)+E(f402(x25993,x25991,x25994,x25995,x25996),f402(x25993,x25992,x25994,x25995,x25996))
% 119.46/119.27 [2600]~E(x26001,x26002)+E(f402(x26003,x26004,x26001,x26005,x26006),f402(x26003,x26004,x26002,x26005,x26006))
% 119.46/119.27 [2601]~E(x26011,x26012)+E(f402(x26013,x26014,x26015,x26011,x26016),f402(x26013,x26014,x26015,x26012,x26016))
% 119.46/119.27 [2602]~E(x26021,x26022)+E(f402(x26023,x26024,x26025,x26026,x26021),f402(x26023,x26024,x26025,x26026,x26022))
% 119.46/119.27 [2603]~E(x26031,x26032)+E(f265(x26031,x26033,x26034,x26035),f265(x26032,x26033,x26034,x26035))
% 119.46/119.27 [2604]~E(x26041,x26042)+E(f265(x26043,x26041,x26044,x26045),f265(x26043,x26042,x26044,x26045))
% 119.46/119.27 [2605]~E(x26051,x26052)+E(f265(x26053,x26054,x26051,x26055),f265(x26053,x26054,x26052,x26055))
% 119.46/119.27 [2606]~E(x26061,x26062)+E(f265(x26063,x26064,x26065,x26061),f265(x26063,x26064,x26065,x26062))
% 119.46/119.27 [2607]~E(x26071,x26072)+E(f390(x26071,x26073,x26074,x26075),f390(x26072,x26073,x26074,x26075))
% 119.46/119.27 [2608]~E(x26081,x26082)+E(f390(x26083,x26081,x26084,x26085),f390(x26083,x26082,x26084,x26085))
% 119.46/119.27 [2609]~E(x26091,x26092)+E(f390(x26093,x26094,x26091,x26095),f390(x26093,x26094,x26092,x26095))
% 119.46/119.27 [2610]~E(x26101,x26102)+E(f390(x26103,x26104,x26105,x26101),f390(x26103,x26104,x26105,x26102))
% 119.46/119.27 [2611]~E(x26111,x26112)+E(f437(x26111,x26113,x26114),f437(x26112,x26113,x26114))
% 119.46/119.27 [2612]~E(x26121,x26122)+E(f437(x26123,x26121,x26124),f437(x26123,x26122,x26124))
% 119.46/119.27 [2613]~E(x26131,x26132)+E(f437(x26133,x26134,x26131),f437(x26133,x26134,x26132))
% 119.46/119.27 [2614]~E(x26141,x26142)+E(f639(x26141,x26143),f639(x26142,x26143))
% 119.46/119.27 [2615]~E(x26151,x26152)+E(f639(x26153,x26151),f639(x26153,x26152))
% 119.46/119.27 [2616]~E(x26161,x26162)+E(f541(x26161,x26163),f541(x26162,x26163))
% 119.46/119.27 [2617]~E(x26171,x26172)+E(f541(x26173,x26171),f541(x26173,x26172))
% 119.46/119.27 [2618]~E(x26181,x26182)+E(f661(x26181,x26183,x26184,x26185,x26186,x26187),f661(x26182,x26183,x26184,x26185,x26186,x26187))
% 119.46/119.27 [2619]~E(x26191,x26192)+E(f661(x26193,x26191,x26194,x26195,x26196,x26197),f661(x26193,x26192,x26194,x26195,x26196,x26197))
% 119.46/119.27 [2620]~E(x26201,x26202)+E(f661(x26203,x26204,x26201,x26205,x26206,x26207),f661(x26203,x26204,x26202,x26205,x26206,x26207))
% 119.46/119.27 [2621]~E(x26211,x26212)+E(f661(x26213,x26214,x26215,x26211,x26216,x26217),f661(x26213,x26214,x26215,x26212,x26216,x26217))
% 119.46/119.27 [2622]~E(x26221,x26222)+E(f661(x26223,x26224,x26225,x26226,x26221,x26227),f661(x26223,x26224,x26225,x26226,x26222,x26227))
% 119.46/119.27 [2623]~E(x26231,x26232)+E(f661(x26233,x26234,x26235,x26236,x26237,x26231),f661(x26233,x26234,x26235,x26236,x26237,x26232))
% 119.46/119.27 [2624]~E(x26241,x26242)+E(f559(x26241,x26243,x26244,x26245),f559(x26242,x26243,x26244,x26245))
% 119.46/119.27 [2625]~E(x26251,x26252)+E(f559(x26253,x26251,x26254,x26255),f559(x26253,x26252,x26254,x26255))
% 119.46/119.27 [2626]~E(x26261,x26262)+E(f559(x26263,x26264,x26261,x26265),f559(x26263,x26264,x26262,x26265))
% 119.46/119.27 [2627]~E(x26271,x26272)+E(f559(x26273,x26274,x26275,x26271),f559(x26273,x26274,x26275,x26272))
% 119.46/119.27 [2628]~E(x26281,x26282)+E(f874(x26281,x26283,x26284,x26285),f874(x26282,x26283,x26284,x26285))
% 119.46/119.27 [2629]~E(x26291,x26292)+E(f874(x26293,x26291,x26294,x26295),f874(x26293,x26292,x26294,x26295))
% 119.46/119.27 [2630]~E(x26301,x26302)+E(f874(x26303,x26304,x26301,x26305),f874(x26303,x26304,x26302,x26305))
% 119.46/119.27 [2631]~E(x26311,x26312)+E(f874(x26313,x26314,x26315,x26311),f874(x26313,x26314,x26315,x26312))
% 119.46/119.27 [2632]~E(x26321,x26322)+E(f561(x26321,x26323,x26324,x26325),f561(x26322,x26323,x26324,x26325))
% 119.46/119.27 [2633]~E(x26331,x26332)+E(f561(x26333,x26331,x26334,x26335),f561(x26333,x26332,x26334,x26335))
% 119.46/119.27 [2634]~E(x26341,x26342)+E(f561(x26343,x26344,x26341,x26345),f561(x26343,x26344,x26342,x26345))
% 119.46/119.27 [2635]~E(x26351,x26352)+E(f561(x26353,x26354,x26355,x26351),f561(x26353,x26354,x26355,x26352))
% 119.46/119.27 [2636]~E(x26361,x26362)+E(f871(x26361,x26363),f871(x26362,x26363))
% 119.46/119.27 [2637]~E(x26371,x26372)+E(f871(x26373,x26371),f871(x26373,x26372))
% 119.46/119.27 [2638]~E(x26381,x26382)+E(f553(x26381,x26383),f553(x26382,x26383))
% 119.46/119.27 [2639]~E(x26391,x26392)+E(f553(x26393,x26391),f553(x26393,x26392))
% 119.46/119.27 [2640]~E(x26401,x26402)+E(f405(x26401),f405(x26402))
% 119.46/119.27 [2641]~E(x26411,x26412)+E(f512(x26411),f512(x26412))
% 119.46/119.27 [2642]~E(x26421,x26422)+E(f699(x26421,x26423),f699(x26422,x26423))
% 119.46/119.27 [2643]~E(x26431,x26432)+E(f699(x26433,x26431),f699(x26433,x26432))
% 119.46/119.27 [2644]~E(x26441,x26442)+E(f781(x26441,x26443,x26444),f781(x26442,x26443,x26444))
% 119.46/119.27 [2645]~E(x26451,x26452)+E(f781(x26453,x26451,x26454),f781(x26453,x26452,x26454))
% 119.46/119.27 [2646]~E(x26461,x26462)+E(f781(x26463,x26464,x26461),f781(x26463,x26464,x26462))
% 119.46/119.27 [2647]~E(x26471,x26472)+E(f396(x26471,x26473,x26474,x26475),f396(x26472,x26473,x26474,x26475))
% 119.46/119.27 [2648]~E(x26481,x26482)+E(f396(x26483,x26481,x26484,x26485),f396(x26483,x26482,x26484,x26485))
% 119.46/119.27 [2649]~E(x26491,x26492)+E(f396(x26493,x26494,x26491,x26495),f396(x26493,x26494,x26492,x26495))
% 119.46/119.27 [2650]~E(x26501,x26502)+E(f396(x26503,x26504,x26505,x26501),f396(x26503,x26504,x26505,x26502))
% 119.46/119.27 [2651]~E(x26511,x26512)+E(f262(x26511,x26513,x26514,x26515),f262(x26512,x26513,x26514,x26515))
% 119.46/119.27 [2652]~E(x26521,x26522)+E(f262(x26523,x26521,x26524,x26525),f262(x26523,x26522,x26524,x26525))
% 119.46/119.27 [2653]~E(x26531,x26532)+E(f262(x26533,x26534,x26531,x26535),f262(x26533,x26534,x26532,x26535))
% 119.46/119.27 [2654]~E(x26541,x26542)+E(f262(x26543,x26544,x26545,x26541),f262(x26543,x26544,x26545,x26542))
% 119.46/119.27 [2655]~E(x26551,x26552)+E(f537(x26551,x26553),f537(x26552,x26553))
% 119.46/119.27 [2656]~E(x26561,x26562)+E(f537(x26563,x26561),f537(x26563,x26562))
% 119.46/119.27 [2657]~E(x26571,x26572)+E(f582(x26571,x26573),f582(x26572,x26573))
% 119.46/119.27 [2658]~E(x26581,x26582)+E(f582(x26583,x26581),f582(x26583,x26582))
% 119.46/119.27 [2659]~E(x26591,x26592)+E(f320(x26591),f320(x26592))
% 119.46/119.27 [2660]~E(x26601,x26602)+E(f662(x26601,x26603,x26604,x26605),f662(x26602,x26603,x26604,x26605))
% 119.46/119.27 [2661]~E(x26611,x26612)+E(f662(x26613,x26611,x26614,x26615),f662(x26613,x26612,x26614,x26615))
% 119.46/119.27 [2662]~E(x26621,x26622)+E(f662(x26623,x26624,x26621,x26625),f662(x26623,x26624,x26622,x26625))
% 119.46/119.27 [2663]~E(x26631,x26632)+E(f662(x26633,x26634,x26635,x26631),f662(x26633,x26634,x26635,x26632))
% 119.46/119.27 [2664]~E(x26641,x26642)+E(f511(x26641),f511(x26642))
% 119.46/119.27 [2665]~E(x26651,x26652)+E(f430(x26651),f430(x26652))
% 119.46/119.27 [2666]~E(x26661,x26662)+E(f468(x26661,x26663,x26664,x26665,x26666),f468(x26662,x26663,x26664,x26665,x26666))
% 119.46/119.27 [2667]~E(x26671,x26672)+E(f468(x26673,x26671,x26674,x26675,x26676),f468(x26673,x26672,x26674,x26675,x26676))
% 119.46/119.27 [2668]~E(x26681,x26682)+E(f468(x26683,x26684,x26681,x26685,x26686),f468(x26683,x26684,x26682,x26685,x26686))
% 119.46/119.27 [2669]~E(x26691,x26692)+E(f468(x26693,x26694,x26695,x26691,x26696),f468(x26693,x26694,x26695,x26692,x26696))
% 119.46/119.27 [2670]~E(x26701,x26702)+E(f468(x26703,x26704,x26705,x26706,x26701),f468(x26703,x26704,x26705,x26706,x26702))
% 119.46/119.27 [2671]~E(x26711,x26712)+E(f848(x26711,x26713,x26714),f848(x26712,x26713,x26714))
% 119.46/119.27 [2672]~E(x26721,x26722)+E(f848(x26723,x26721,x26724),f848(x26723,x26722,x26724))
% 119.46/119.27 [2673]~E(x26731,x26732)+E(f848(x26733,x26734,x26731),f848(x26733,x26734,x26732))
% 119.46/119.27 [2674]~P1(x26741)+P1(x26742)+~E(x26741,x26742)
% 119.46/119.27 [2675]~P2(x26751)+P2(x26752)+~E(x26751,x26752)
% 119.46/119.27 [2676]P13(x26762,x26763)+~E(x26761,x26762)+~P13(x26761,x26763)
% 119.46/119.27 [2677]P13(x26773,x26772)+~E(x26771,x26772)+~P13(x26773,x26771)
% 119.46/119.27 [2678]~P4(x26781)+P4(x26782)+~E(x26781,x26782)
% 119.46/119.27 [2679]~P3(x26791)+P3(x26792)+~E(x26791,x26792)
% 119.46/119.27 [2680]~P40(x26801)+P40(x26802)+~E(x26801,x26802)
% 119.46/119.27 [2681]P31(x26812,x26813,x26814,x26815)+~E(x26811,x26812)+~P31(x26811,x26813,x26814,x26815)
% 119.46/119.27 [2682]P31(x26823,x26822,x26824,x26825)+~E(x26821,x26822)+~P31(x26823,x26821,x26824,x26825)
% 119.46/119.27 [2683]P31(x26833,x26834,x26832,x26835)+~E(x26831,x26832)+~P31(x26833,x26834,x26831,x26835)
% 119.46/119.27 [2684]P31(x26843,x26844,x26845,x26842)+~E(x26841,x26842)+~P31(x26843,x26844,x26845,x26841)
% 119.46/119.27 [2685]P150(x26852,x26853,x26854)+~E(x26851,x26852)+~P150(x26851,x26853,x26854)
% 119.46/119.27 [2686]P150(x26863,x26862,x26864)+~E(x26861,x26862)+~P150(x26863,x26861,x26864)
% 119.46/119.27 [2687]P150(x26873,x26874,x26872)+~E(x26871,x26872)+~P150(x26873,x26874,x26871)
% 119.46/119.27 [2688]~P113(x26881)+P113(x26882)+~E(x26881,x26882)
% 119.46/119.27 [2689]~P98(x26891)+P98(x26892)+~E(x26891,x26892)
% 119.46/119.27 [2690]~P71(x26901)+P71(x26902)+~E(x26901,x26902)
% 119.46/119.27 [2691]~P132(x26911)+P132(x26912)+~E(x26911,x26912)
% 119.46/119.27 [2692]P37(x26922,x26923)+~E(x26921,x26922)+~P37(x26921,x26923)
% 119.46/119.27 [2693]P37(x26933,x26932)+~E(x26931,x26932)+~P37(x26933,x26931)
% 119.46/119.27 [2694]P52(x26942,x26943)+~E(x26941,x26942)+~P52(x26941,x26943)
% 119.46/119.27 [2695]P52(x26953,x26952)+~E(x26951,x26952)+~P52(x26953,x26951)
% 119.46/119.27 [2696]~P114(x26961)+P114(x26962)+~E(x26961,x26962)
% 119.46/119.27 [2697]~P112(x26971)+P112(x26972)+~E(x26971,x26972)
% 119.46/119.27 [2698]~P115(x26981)+P115(x26982)+~E(x26981,x26982)
% 119.46/119.27 [2699]P36(x26992,x26993)+~E(x26991,x26992)+~P36(x26991,x26993)
% 119.46/119.27 [2700]P36(x27003,x27002)+~E(x27001,x27002)+~P36(x27003,x27001)
% 119.46/119.27 [2701]P62(x27012,x27013)+~E(x27011,x27012)+~P62(x27011,x27013)
% 119.46/119.27 [2702]P62(x27023,x27022)+~E(x27021,x27022)+~P62(x27023,x27021)
% 119.46/119.27 [2703]~P5(x27031)+P5(x27032)+~E(x27031,x27032)
% 119.46/119.27 [2704]~P130(x27041)+P130(x27042)+~E(x27041,x27042)
% 119.46/119.27 [2705]~P144(x27051)+P144(x27052)+~E(x27051,x27052)
% 119.46/119.27 [2706]P28(x27062,x27063)+~E(x27061,x27062)+~P28(x27061,x27063)
% 119.46/119.27 [2707]P28(x27073,x27072)+~E(x27071,x27072)+~P28(x27073,x27071)
% 119.46/119.27 [2708]P8(x27082,x27083,x27084)+~E(x27081,x27082)+~P8(x27081,x27083,x27084)
% 119.46/119.27 [2709]P8(x27093,x27092,x27094)+~E(x27091,x27092)+~P8(x27093,x27091,x27094)
% 119.46/119.27 [2710]P8(x27103,x27104,x27102)+~E(x27101,x27102)+~P8(x27103,x27104,x27101)
% 119.46/119.27 [2711]~P63(x27111)+P63(x27112)+~E(x27111,x27112)
% 119.46/119.27 [2712]~P72(x27121)+P72(x27122)+~E(x27121,x27122)
% 119.46/119.27 [2713]~P73(x27131)+P73(x27132)+~E(x27131,x27132)
% 119.46/119.27 [2714]~P64(x27141)+P64(x27142)+~E(x27141,x27142)
% 119.46/119.27 [2715]P30(x27152,x27153,x27154)+~E(x27151,x27152)+~P30(x27151,x27153,x27154)
% 119.46/119.27 [2716]P30(x27163,x27162,x27164)+~E(x27161,x27162)+~P30(x27163,x27161,x27164)
% 119.46/119.27 [2717]P30(x27173,x27174,x27172)+~E(x27171,x27172)+~P30(x27173,x27174,x27171)
% 119.46/119.27 [2718]P15(x27182,x27183)+~E(x27181,x27182)+~P15(x27181,x27183)
% 119.46/119.27 [2719]P15(x27193,x27192)+~E(x27191,x27192)+~P15(x27193,x27191)
% 119.46/119.27 [2720]~P75(x27201)+P75(x27202)+~E(x27201,x27202)
% 119.46/119.27 [2721]~P66(x27211)+P66(x27212)+~E(x27211,x27212)
% 119.46/119.27 [2722]~P79(x27221)+P79(x27222)+~E(x27221,x27222)
% 119.46/119.27 [2723]~P80(x27231)+P80(x27232)+~E(x27231,x27232)
% 119.46/119.27 [2724]P39(x27242,x27243,x27244)+~E(x27241,x27242)+~P39(x27241,x27243,x27244)
% 119.46/119.27 [2725]P39(x27253,x27252,x27254)+~E(x27251,x27252)+~P39(x27253,x27251,x27254)
% 119.46/119.27 [2726]P39(x27263,x27264,x27262)+~E(x27261,x27262)+~P39(x27263,x27264,x27261)
% 119.46/119.27 [2727]P24(x27272,x27273,x27274,x27275)+~E(x27271,x27272)+~P24(x27271,x27273,x27274,x27275)
% 119.46/119.27 [2728]P24(x27283,x27282,x27284,x27285)+~E(x27281,x27282)+~P24(x27283,x27281,x27284,x27285)
% 119.46/119.27 [2729]P24(x27293,x27294,x27292,x27295)+~E(x27291,x27292)+~P24(x27293,x27294,x27291,x27295)
% 119.46/119.27 [2730]P24(x27303,x27304,x27305,x27302)+~E(x27301,x27302)+~P24(x27303,x27304,x27305,x27301)
% 119.46/119.27 [2731]~P96(x27311)+P96(x27312)+~E(x27311,x27312)
% 119.46/119.27 [2732]~P90(x27321)+P90(x27322)+~E(x27321,x27322)
% 119.46/119.27 [2733]P33(x27332,x27333,x27334,x27335,x27336)+~E(x27331,x27332)+~P33(x27331,x27333,x27334,x27335,x27336)
% 119.46/119.27 [2734]P33(x27343,x27342,x27344,x27345,x27346)+~E(x27341,x27342)+~P33(x27343,x27341,x27344,x27345,x27346)
% 119.46/119.27 [2735]P33(x27353,x27354,x27352,x27355,x27356)+~E(x27351,x27352)+~P33(x27353,x27354,x27351,x27355,x27356)
% 119.46/119.27 [2736]P33(x27363,x27364,x27365,x27362,x27366)+~E(x27361,x27362)+~P33(x27363,x27364,x27365,x27361,x27366)
% 119.46/119.27 [2737]P33(x27373,x27374,x27375,x27376,x27372)+~E(x27371,x27372)+~P33(x27373,x27374,x27375,x27376,x27371)
% 119.46/119.27 [2738]~P116(x27381)+P116(x27382)+~E(x27381,x27382)
% 119.46/119.27 [2739]~P93(x27391)+P93(x27392)+~E(x27391,x27392)
% 119.46/119.27 [2740]P53(x27402,x27403)+~E(x27401,x27402)+~P53(x27401,x27403)
% 119.46/119.27 [2741]P53(x27413,x27412)+~E(x27411,x27412)+~P53(x27413,x27411)
% 119.46/119.27 [2742]~P131(x27421)+P131(x27422)+~E(x27421,x27422)
% 119.46/119.27 [2743]P61(x27432,x27433,x27434,x27435)+~E(x27431,x27432)+~P61(x27431,x27433,x27434,x27435)
% 119.46/119.27 [2744]P61(x27443,x27442,x27444,x27445)+~E(x27441,x27442)+~P61(x27443,x27441,x27444,x27445)
% 119.46/119.27 [2745]P61(x27453,x27454,x27452,x27455)+~E(x27451,x27452)+~P61(x27453,x27454,x27451,x27455)
% 119.46/119.27 [2746]P61(x27463,x27464,x27465,x27462)+~E(x27461,x27462)+~P61(x27463,x27464,x27465,x27461)
% 119.46/119.27 [2747]~P102(x27471)+P102(x27472)+~E(x27471,x27472)
% 119.46/119.27 [2748]~P136(x27481)+P136(x27482)+~E(x27481,x27482)
% 119.46/119.27 [2749]~P137(x27491)+P137(x27492)+~E(x27491,x27492)
% 119.46/119.27 [2750]~P83(x27501)+P83(x27502)+~E(x27501,x27502)
% 119.46/119.27 [2751]~P67(x27511)+P67(x27512)+~E(x27511,x27512)
% 119.46/119.27 [2752]~P138(x27521)+P138(x27522)+~E(x27521,x27522)
% 119.46/119.27 [2753]~P129(x27531)+P129(x27532)+~E(x27531,x27532)
% 119.46/119.27 [2754]P16(x27542,x27543,x27544)+~E(x27541,x27542)+~P16(x27541,x27543,x27544)
% 119.46/119.27 [2755]P16(x27553,x27552,x27554)+~E(x27551,x27552)+~P16(x27553,x27551,x27554)
% 119.46/119.27 [2756]P16(x27563,x27564,x27562)+~E(x27561,x27562)+~P16(x27563,x27564,x27561)
% 119.46/119.27 [2757]~P139(x27571)+P139(x27572)+~E(x27571,x27572)
% 119.46/119.27 [2758]P151(x27582,x27583,x27584)+~E(x27581,x27582)+~P151(x27581,x27583,x27584)
% 119.46/119.27 [2759]P151(x27593,x27592,x27594)+~E(x27591,x27592)+~P151(x27593,x27591,x27594)
% 119.46/119.27 [2760]P151(x27603,x27604,x27602)+~E(x27601,x27602)+~P151(x27603,x27604,x27601)
% 119.46/119.27 [2761]~P125(x27611)+P125(x27612)+~E(x27611,x27612)
% 119.46/119.27 [2762]~P140(x27621)+P140(x27622)+~E(x27621,x27622)
% 119.46/119.27 [2763]~P142(x27631)+P142(x27632)+~E(x27631,x27632)
% 119.46/119.27 [2764]P34(x27642,x27643,x27644)+~E(x27641,x27642)+~P34(x27641,x27643,x27644)
% 119.46/119.27 [2765]P34(x27653,x27652,x27654)+~E(x27651,x27652)+~P34(x27653,x27651,x27654)
% 119.46/119.27 [2766]P34(x27663,x27664,x27662)+~E(x27661,x27662)+~P34(x27663,x27664,x27661)
% 119.46/119.27 [2767]P57(x27672,x27673,x27674)+~E(x27671,x27672)+~P57(x27671,x27673,x27674)
% 119.46/119.27 [2768]P57(x27683,x27682,x27684)+~E(x27681,x27682)+~P57(x27683,x27681,x27684)
% 119.46/119.27 [2769]P57(x27693,x27694,x27692)+~E(x27691,x27692)+~P57(x27693,x27694,x27691)
% 119.46/119.27 [2770]~P141(x27701)+P141(x27702)+~E(x27701,x27702)
% 119.46/119.27 [2771]P27(x27712,x27713,x27714)+~E(x27711,x27712)+~P27(x27711,x27713,x27714)
% 119.46/119.27 [2772]P27(x27723,x27722,x27724)+~E(x27721,x27722)+~P27(x27723,x27721,x27724)
% 119.46/119.27 [2773]P27(x27733,x27734,x27732)+~E(x27731,x27732)+~P27(x27733,x27734,x27731)
% 119.46/119.27 [2774]~P103(x27741)+P103(x27742)+~E(x27741,x27742)
% 119.46/119.27 [2775]P19(x27752,x27753,x27754,x27755)+~E(x27751,x27752)+~P19(x27751,x27753,x27754,x27755)
% 119.46/119.27 [2776]P19(x27763,x27762,x27764,x27765)+~E(x27761,x27762)+~P19(x27763,x27761,x27764,x27765)
% 119.46/119.27 [2777]P19(x27773,x27774,x27772,x27775)+~E(x27771,x27772)+~P19(x27773,x27774,x27771,x27775)
% 119.46/119.27 [2778]P19(x27783,x27784,x27785,x27782)+~E(x27781,x27782)+~P19(x27783,x27784,x27785,x27781)
% 119.46/119.27 [2779]P14(x27792,x27793,x27794)+~E(x27791,x27792)+~P14(x27791,x27793,x27794)
% 119.46/119.27 [2780]P14(x27803,x27802,x27804)+~E(x27801,x27802)+~P14(x27803,x27801,x27804)
% 119.46/119.27 [2781]P14(x27813,x27814,x27812)+~E(x27811,x27812)+~P14(x27813,x27814,x27811)
% 119.46/119.27 [2782]P59(x27822,x27823,x27824,x27825,x27826)+~E(x27821,x27822)+~P59(x27821,x27823,x27824,x27825,x27826)
% 119.46/119.27 [2783]P59(x27833,x27832,x27834,x27835,x27836)+~E(x27831,x27832)+~P59(x27833,x27831,x27834,x27835,x27836)
% 119.46/119.27 [2784]P59(x27843,x27844,x27842,x27845,x27846)+~E(x27841,x27842)+~P59(x27843,x27844,x27841,x27845,x27846)
% 119.46/119.27 [2785]P59(x27853,x27854,x27855,x27852,x27856)+~E(x27851,x27852)+~P59(x27853,x27854,x27855,x27851,x27856)
% 119.46/119.27 [2786]P59(x27863,x27864,x27865,x27866,x27862)+~E(x27861,x27862)+~P59(x27863,x27864,x27865,x27866,x27861)
% 119.46/119.27 [2787]~P119(x27871)+P119(x27872)+~E(x27871,x27872)
% 119.46/119.27 [2788]P12(x27882,x27883,x27884,x27885,x27886,x27887)+~E(x27881,x27882)+~P12(x27881,x27883,x27884,x27885,x27886,x27887)
% 119.46/119.27 [2789]P12(x27893,x27892,x27894,x27895,x27896,x27897)+~E(x27891,x27892)+~P12(x27893,x27891,x27894,x27895,x27896,x27897)
% 119.46/119.27 [2790]P12(x27903,x27904,x27902,x27905,x27906,x27907)+~E(x27901,x27902)+~P12(x27903,x27904,x27901,x27905,x27906,x27907)
% 119.46/119.27 [2791]P12(x27913,x27914,x27915,x27912,x27916,x27917)+~E(x27911,x27912)+~P12(x27913,x27914,x27915,x27911,x27916,x27917)
% 119.46/119.27 [2792]P12(x27923,x27924,x27925,x27926,x27922,x27927)+~E(x27921,x27922)+~P12(x27923,x27924,x27925,x27926,x27921,x27927)
% 119.46/119.27 [2793]P12(x27933,x27934,x27935,x27936,x27937,x27932)+~E(x27931,x27932)+~P12(x27933,x27934,x27935,x27936,x27937,x27931)
% 119.46/119.27 [2794]~P99(x27941)+P99(x27942)+~E(x27941,x27942)
% 119.46/119.27 [2795]~P148(x27951)+P148(x27952)+~E(x27951,x27952)
% 119.46/119.27 [2796]~P120(x27961)+P120(x27962)+~E(x27961,x27962)
% 119.46/119.27 [2797]P7(x27972,x27973)+~E(x27971,x27972)+~P7(x27971,x27973)
% 119.46/119.27 [2798]P7(x27983,x27982)+~E(x27981,x27982)+~P7(x27983,x27981)
% 119.46/119.27 [2799]~P146(x27991)+P146(x27992)+~E(x27991,x27992)
% 119.46/119.27 [2800]~P70(x28001)+P70(x28002)+~E(x28001,x28002)
% 119.46/119.27 [2801]~P128(x28011)+P128(x28012)+~E(x28011,x28012)
% 119.46/119.27 [2802]~P133(x28021)+P133(x28022)+~E(x28021,x28022)
% 119.46/119.27 [2803]P47(x28032,x28033,x28034)+~E(x28031,x28032)+~P47(x28031,x28033,x28034)
% 119.46/119.27 [2804]P47(x28043,x28042,x28044)+~E(x28041,x28042)+~P47(x28043,x28041,x28044)
% 119.46/119.27 [2805]P47(x28053,x28054,x28052)+~E(x28051,x28052)+~P47(x28053,x28054,x28051)
% 119.46/119.27 [2806]P46(x28062,x28063,x28064)+~E(x28061,x28062)+~P46(x28061,x28063,x28064)
% 119.46/119.27 [2807]P46(x28073,x28072,x28074)+~E(x28071,x28072)+~P46(x28073,x28071,x28074)
% 119.46/119.27 [2808]P46(x28083,x28084,x28082)+~E(x28081,x28082)+~P46(x28083,x28084,x28081)
% 119.46/119.27 [2809]~P121(x28091)+P121(x28092)+~E(x28091,x28092)
% 119.46/119.27 [2810]P58(x28102,x28103,x28104)+~E(x28101,x28102)+~P58(x28101,x28103,x28104)
% 119.46/119.27 [2811]P58(x28113,x28112,x28114)+~E(x28111,x28112)+~P58(x28113,x28111,x28114)
% 119.46/119.27 [2812]P58(x28123,x28124,x28122)+~E(x28121,x28122)+~P58(x28123,x28124,x28121)
% 119.46/119.27 [2813]~P81(x28131)+P81(x28132)+~E(x28131,x28132)
% 119.46/119.27 [2814]~P97(x28141)+P97(x28142)+~E(x28141,x28142)
% 119.46/119.27 [2815]P32(x28152,x28153,x28154)+~E(x28151,x28152)+~P32(x28151,x28153,x28154)
% 119.46/119.27 [2816]P32(x28163,x28162,x28164)+~E(x28161,x28162)+~P32(x28163,x28161,x28164)
% 119.46/119.27 [2817]P32(x28173,x28174,x28172)+~E(x28171,x28172)+~P32(x28173,x28174,x28171)
% 119.46/119.27 [2818]~P86(x28181)+P86(x28182)+~E(x28181,x28182)
% 119.46/119.27 [2819]~P108(x28191)+P108(x28192)+~E(x28191,x28192)
% 119.46/119.27 [2820]~P69(x28201)+P69(x28202)+~E(x28201,x28202)
% 119.46/119.27 [2821]~P134(x28211)+P134(x28212)+~E(x28211,x28212)
% 119.46/119.27 [2822]~P101(x28221)+P101(x28222)+~E(x28221,x28222)
% 119.46/119.27 [2823]P43(x28232,x28233)+~E(x28231,x28232)+~P43(x28231,x28233)
% 119.46/119.27 [2824]P43(x28243,x28242)+~E(x28241,x28242)+~P43(x28243,x28241)
% 119.46/119.27 [2825]P20(x28252,x28253,x28254,x28255)+~E(x28251,x28252)+~P20(x28251,x28253,x28254,x28255)
% 119.46/119.27 [2826]P20(x28263,x28262,x28264,x28265)+~E(x28261,x28262)+~P20(x28263,x28261,x28264,x28265)
% 119.46/119.27 [2827]P20(x28273,x28274,x28272,x28275)+~E(x28271,x28272)+~P20(x28273,x28274,x28271,x28275)
% 119.46/119.27 [2828]P20(x28283,x28284,x28285,x28282)+~E(x28281,x28282)+~P20(x28283,x28284,x28285,x28281)
% 119.46/119.27 [2829]P50(x28292,x28293)+~E(x28291,x28292)+~P50(x28291,x28293)
% 119.46/119.27 [2830]P50(x28303,x28302)+~E(x28301,x28302)+~P50(x28303,x28301)
% 119.46/119.27 [2831]~P6(x28311)+P6(x28312)+~E(x28311,x28312)
% 119.46/119.27 [2832]P54(x28322,x28323)+~E(x28321,x28322)+~P54(x28321,x28323)
% 119.46/119.27 [2833]P54(x28333,x28332)+~E(x28331,x28332)+~P54(x28333,x28331)
% 119.46/119.27 [2834]~P65(x28341)+P65(x28342)+~E(x28341,x28342)
% 119.46/119.27 [2835]~P76(x28351)+P76(x28352)+~E(x28351,x28352)
% 119.46/119.27 [2836]P49(x28362,x28363,x28364,x28365)+~E(x28361,x28362)+~P49(x28361,x28363,x28364,x28365)
% 119.46/119.27 [2837]P49(x28373,x28372,x28374,x28375)+~E(x28371,x28372)+~P49(x28373,x28371,x28374,x28375)
% 119.46/119.27 [2838]P49(x28383,x28384,x28382,x28385)+~E(x28381,x28382)+~P49(x28383,x28384,x28381,x28385)
% 119.46/119.27 [2839]P49(x28393,x28394,x28395,x28392)+~E(x28391,x28392)+~P49(x28393,x28394,x28395,x28391)
% 119.46/119.27 [2840]~P77(x28401)+P77(x28402)+~E(x28401,x28402)
% 119.46/119.27 [2841]~P106(x28411)+P106(x28412)+~E(x28411,x28412)
% 119.46/119.27 [2842]~P107(x28421)+P107(x28422)+~E(x28421,x28422)
% 119.46/119.27 [2843]~P104(x28431)+P104(x28432)+~E(x28431,x28432)
% 119.46/119.27 [2844]~P74(x28441)+P74(x28442)+~E(x28441,x28442)
% 119.46/119.27 [2845]P55(x28452,x28453,x28454)+~E(x28451,x28452)+~P55(x28451,x28453,x28454)
% 119.46/119.27 [2846]P55(x28463,x28462,x28464)+~E(x28461,x28462)+~P55(x28463,x28461,x28464)
% 119.46/119.27 [2847]P55(x28473,x28474,x28472)+~E(x28471,x28472)+~P55(x28473,x28474,x28471)
% 119.46/119.27 [2848]~P35(x28481)+P35(x28482)+~E(x28481,x28482)
% 119.46/119.27 [2849]~P145(x28491)+P145(x28492)+~E(x28491,x28492)
% 119.46/119.27 [2850]~P147(x28501)+P147(x28502)+~E(x28501,x28502)
% 119.46/119.27 [2851]~P87(x28511)+P87(x28512)+~E(x28511,x28512)
% 119.46/119.27 [2852]P29(x28522,x28523,x28524)+~E(x28521,x28522)+~P29(x28521,x28523,x28524)
% 119.46/119.27 [2853]P29(x28533,x28532,x28534)+~E(x28531,x28532)+~P29(x28533,x28531,x28534)
% 119.46/119.27 [2854]P29(x28543,x28544,x28542)+~E(x28541,x28542)+~P29(x28543,x28544,x28541)
% 119.46/119.27 [2855]P60(x28552,x28553)+~E(x28551,x28552)+~P60(x28551,x28553)
% 119.46/119.27 [2856]P60(x28563,x28562)+~E(x28561,x28562)+~P60(x28563,x28561)
% 119.46/119.27 [2857]~P82(x28571)+P82(x28572)+~E(x28571,x28572)
% 119.46/119.27 [2858]~P124(x28581)+P124(x28582)+~E(x28581,x28582)
% 119.46/119.27 [2859]~P88(x28591)+P88(x28592)+~E(x28591,x28592)
% 119.46/119.27 [2860]~P68(x28601)+P68(x28602)+~E(x28601,x28602)
% 119.46/119.27 [2861]~P149(x28611)+P149(x28612)+~E(x28611,x28612)
% 119.46/119.27 [2862]~P89(x28621)+P89(x28622)+~E(x28621,x28622)
% 119.46/119.27 [2863]P38(x28632,x28633)+~E(x28631,x28632)+~P38(x28631,x28633)
% 119.46/119.27 [2864]P38(x28643,x28642)+~E(x28641,x28642)+~P38(x28643,x28641)
% 119.46/119.27 [2865]P25(x28652,x28653)+~E(x28651,x28652)+~P25(x28651,x28653)
% 119.46/119.27 [2866]P25(x28663,x28662)+~E(x28661,x28662)+~P25(x28663,x28661)
% 119.46/119.27 [2867]~P100(x28671)+P100(x28672)+~E(x28671,x28672)
% 119.46/119.27 [2868]P21(x28682,x28683,x28684,x28685,x28686)+~E(x28681,x28682)+~P21(x28681,x28683,x28684,x28685,x28686)
% 119.46/119.27 [2869]P21(x28693,x28692,x28694,x28695,x28696)+~E(x28691,x28692)+~P21(x28693,x28691,x28694,x28695,x28696)
% 119.46/119.27 [2870]P21(x28703,x28704,x28702,x28705,x28706)+~E(x28701,x28702)+~P21(x28703,x28704,x28701,x28705,x28706)
% 119.46/119.27 [2871]P21(x28713,x28714,x28715,x28712,x28716)+~E(x28711,x28712)+~P21(x28713,x28714,x28715,x28711,x28716)
% 119.46/119.27 [2872]P21(x28723,x28724,x28725,x28726,x28722)+~E(x28721,x28722)+~P21(x28723,x28724,x28725,x28726,x28721)
% 119.46/119.27 [2873]~P126(x28731)+P126(x28732)+~E(x28731,x28732)
% 119.46/119.27 [2874]P18(x28742,x28743,x28744)+~E(x28741,x28742)+~P18(x28741,x28743,x28744)
% 119.46/119.27 [2875]P18(x28753,x28752,x28754)+~E(x28751,x28752)+~P18(x28753,x28751,x28754)
% 119.46/119.27 [2876]P18(x28763,x28764,x28762)+~E(x28761,x28762)+~P18(x28763,x28764,x28761)
% 119.46/119.27 [2877]P51(x28772,x28773,x28774)+~E(x28771,x28772)+~P51(x28771,x28773,x28774)
% 119.46/119.27 [2878]P51(x28783,x28782,x28784)+~E(x28781,x28782)+~P51(x28783,x28781,x28784)
% 119.46/119.27 [2879]P51(x28793,x28794,x28792)+~E(x28791,x28792)+~P51(x28793,x28794,x28791)
% 119.46/119.27 [2880]~P84(x28801)+P84(x28802)+~E(x28801,x28802)
% 119.46/119.27 [2881]P45(x28812,x28813)+~E(x28811,x28812)+~P45(x28811,x28813)
% 119.46/119.27 [2882]P45(x28823,x28822)+~E(x28821,x28822)+~P45(x28823,x28821)
% 119.46/119.27 [2883]~P91(x28831)+P91(x28832)+~E(x28831,x28832)
% 119.46/119.27 [2884]P22(x28842,x28843,x28844,x28845,x28846,x28847)+~E(x28841,x28842)+~P22(x28841,x28843,x28844,x28845,x28846,x28847)
% 119.46/119.27 [2885]P22(x28853,x28852,x28854,x28855,x28856,x28857)+~E(x28851,x28852)+~P22(x28853,x28851,x28854,x28855,x28856,x28857)
% 119.46/119.27 [2886]P22(x28863,x28864,x28862,x28865,x28866,x28867)+~E(x28861,x28862)+~P22(x28863,x28864,x28861,x28865,x28866,x28867)
% 119.46/119.27 [2887]P22(x28873,x28874,x28875,x28872,x28876,x28877)+~E(x28871,x28872)+~P22(x28873,x28874,x28875,x28871,x28876,x28877)
% 119.46/119.27 [2888]P22(x28883,x28884,x28885,x28886,x28882,x28887)+~E(x28881,x28882)+~P22(x28883,x28884,x28885,x28886,x28881,x28887)
% 119.46/119.27 [2889]P22(x28893,x28894,x28895,x28896,x28897,x28892)+~E(x28891,x28892)+~P22(x28893,x28894,x28895,x28896,x28897,x28891)
% 119.46/119.27 [2890]~P92(x28901)+P92(x28902)+~E(x28901,x28902)
% 119.46/119.27 [2891]~P122(x28911)+P122(x28912)+~E(x28911,x28912)
% 119.46/119.27 [2892]~P123(x28921)+P123(x28922)+~E(x28921,x28922)
% 119.46/119.27 [2893]P11(x28932,x28933,x28934,x28935)+~E(x28931,x28932)+~P11(x28931,x28933,x28934,x28935)
% 119.46/119.27 [2894]P11(x28943,x28942,x28944,x28945)+~E(x28941,x28942)+~P11(x28943,x28941,x28944,x28945)
% 119.46/119.27 [2895]P11(x28953,x28954,x28952,x28955)+~E(x28951,x28952)+~P11(x28953,x28954,x28951,x28955)
% 119.46/119.27 [2896]P11(x28963,x28964,x28965,x28962)+~E(x28961,x28962)+~P11(x28963,x28964,x28965,x28961)
% 119.46/119.27 [2897]~P85(x28971)+P85(x28972)+~E(x28971,x28972)
% 119.46/119.27 [2898]~P78(x28981)+P78(x28982)+~E(x28981,x28982)
% 119.46/119.27 [2899]P10(x28992,x28993,x28994,x28995,x28996)+~E(x28991,x28992)+~P10(x28991,x28993,x28994,x28995,x28996)
% 119.46/119.27 [2900]P10(x29003,x29002,x29004,x29005,x29006)+~E(x29001,x29002)+~P10(x29003,x29001,x29004,x29005,x29006)
% 119.46/119.27 [2901]P10(x29013,x29014,x29012,x29015,x29016)+~E(x29011,x29012)+~P10(x29013,x29014,x29011,x29015,x29016)
% 119.46/119.27 [2902]P10(x29023,x29024,x29025,x29022,x29026)+~E(x29021,x29022)+~P10(x29023,x29024,x29025,x29021,x29026)
% 119.46/119.27 [2903]P10(x29033,x29034,x29035,x29036,x29032)+~E(x29031,x29032)+~P10(x29033,x29034,x29035,x29036,x29031)
% 119.46/119.27 [2904]~P109(x29041)+P109(x29042)+~E(x29041,x29042)
% 119.46/119.27 [2905]P17(x29052,x29053,x29054)+~E(x29051,x29052)+~P17(x29051,x29053,x29054)
% 119.46/119.27 [2906]P17(x29063,x29062,x29064)+~E(x29061,x29062)+~P17(x29063,x29061,x29064)
% 119.46/119.27 [2907]P17(x29073,x29074,x29072)+~E(x29071,x29072)+~P17(x29073,x29074,x29071)
% 119.46/119.27 [2908]~P135(x29081)+P135(x29082)+~E(x29081,x29082)
% 119.46/119.27 [2909]P42(x29092,x29093,x29094,x29095,x29096,x29097)+~E(x29091,x29092)+~P42(x29091,x29093,x29094,x29095,x29096,x29097)
% 119.46/119.27 [2910]P42(x29103,x29102,x29104,x29105,x29106,x29107)+~E(x29101,x29102)+~P42(x29103,x29101,x29104,x29105,x29106,x29107)
% 119.46/119.27 [2911]P42(x29113,x29114,x29112,x29115,x29116,x29117)+~E(x29111,x29112)+~P42(x29113,x29114,x29111,x29115,x29116,x29117)
% 119.46/119.27 [2912]P42(x29123,x29124,x29125,x29122,x29126,x29127)+~E(x29121,x29122)+~P42(x29123,x29124,x29125,x29121,x29126,x29127)
% 119.46/119.27 [2913]P42(x29133,x29134,x29135,x29136,x29132,x29137)+~E(x29131,x29132)+~P42(x29133,x29134,x29135,x29136,x29131,x29137)
% 119.46/119.27 [2914]P42(x29143,x29144,x29145,x29146,x29147,x29142)+~E(x29141,x29142)+~P42(x29143,x29144,x29145,x29146,x29147,x29141)
% 119.46/119.27 [2915]P26(x29152,x29153,x29154)+~E(x29151,x29152)+~P26(x29151,x29153,x29154)
% 119.46/119.27 [2916]P26(x29163,x29162,x29164)+~E(x29161,x29162)+~P26(x29163,x29161,x29164)
% 119.46/119.27 [2917]P26(x29173,x29174,x29172)+~E(x29171,x29172)+~P26(x29173,x29174,x29171)
% 119.46/119.27 [2918]~P105(x29181)+P105(x29182)+~E(x29181,x29182)
% 119.46/119.27 [2919]P23(x29192,x29193,x29194,x29195,x29196,x29197)+~E(x29191,x29192)+~P23(x29191,x29193,x29194,x29195,x29196,x29197)
% 119.46/119.27 [2920]P23(x29203,x29202,x29204,x29205,x29206,x29207)+~E(x29201,x29202)+~P23(x29203,x29201,x29204,x29205,x29206,x29207)
% 119.46/119.27 [2921]P23(x29213,x29214,x29212,x29215,x29216,x29217)+~E(x29211,x29212)+~P23(x29213,x29214,x29211,x29215,x29216,x29217)
% 119.46/119.27 [2922]P23(x29223,x29224,x29225,x29222,x29226,x29227)+~E(x29221,x29222)+~P23(x29223,x29224,x29225,x29221,x29226,x29227)
% 119.46/119.27 [2923]P23(x29233,x29234,x29235,x29236,x29232,x29237)+~E(x29231,x29232)+~P23(x29233,x29234,x29235,x29236,x29231,x29237)
% 119.46/119.27 [2924]P23(x29243,x29244,x29245,x29246,x29247,x29242)+~E(x29241,x29242)+~P23(x29243,x29244,x29245,x29246,x29247,x29241)
% 119.46/119.27 [2925]~P117(x29251)+P117(x29252)+~E(x29251,x29252)
% 119.46/119.27 [2926]~P95(x29261)+P95(x29262)+~E(x29261,x29262)
% 119.46/119.27 [2927]~P111(x29271)+P111(x29272)+~E(x29271,x29272)
% 119.46/119.27 [2928]P41(x29282,x29283,x29284,x29285)+~E(x29281,x29282)+~P41(x29281,x29283,x29284,x29285)
% 119.46/119.27 [2929]P41(x29293,x29292,x29294,x29295)+~E(x29291,x29292)+~P41(x29293,x29291,x29294,x29295)
% 119.46/119.27 [2930]P41(x29303,x29304,x29302,x29305)+~E(x29301,x29302)+~P41(x29303,x29304,x29301,x29305)
% 119.46/119.27 [2931]P41(x29313,x29314,x29315,x29312)+~E(x29311,x29312)+~P41(x29313,x29314,x29315,x29311)
% 119.46/119.27 [2932]~P118(x29321)+P118(x29322)+~E(x29321,x29322)
% 119.46/119.27 [2933]~P127(x29331)+P127(x29332)+~E(x29331,x29332)
% 119.46/119.27 [2934]P56(x29342,x29343)+~E(x29341,x29342)+~P56(x29341,x29343)
% 119.46/119.27 [2935]P56(x29353,x29352)+~E(x29351,x29352)+~P56(x29353,x29351)
% 119.46/119.27 [2936]P48(x29362,x29363,x29364,x29365)+~E(x29361,x29362)+~P48(x29361,x29363,x29364,x29365)
% 119.46/119.27 [2937]P48(x29373,x29372,x29374,x29375)+~E(x29371,x29372)+~P48(x29373,x29371,x29374,x29375)
% 119.46/119.27 [2938]P48(x29383,x29384,x29382,x29385)+~E(x29381,x29382)+~P48(x29383,x29384,x29381,x29385)
% 119.46/119.27 [2939]P48(x29393,x29394,x29395,x29392)+~E(x29391,x29392)+~P48(x29393,x29394,x29395,x29391)
% 119.46/119.27 [2940]~P143(x29401)+P143(x29402)+~E(x29401,x29402)
% 119.46/119.27 [2941]~P110(x29411)+P110(x29412)+~E(x29411,x29412)
% 119.46/119.27 [2942]~P44(x29421)+P44(x29422)+~E(x29421,x29422)
% 119.46/119.27 [2943]~P94(x29431)+P94(x29432)+~E(x29431,x29432)
% 119.46/119.27 [2944]P9(x29442,x29443,x29444)+~E(x29441,x29442)+~P9(x29441,x29443,x29444)
% 119.46/119.27 [2945]P9(x29453,x29452,x29454)+~E(x29451,x29452)+~P9(x29453,x29451,x29454)
% 119.46/119.27 [2946]P9(x29463,x29464,x29462)+~E(x29461,x29462)+~P9(x29463,x29464,x29461)
% 119.46/119.27
% 119.46/119.27 %-------------------------------------------
% 119.56/119.34 cnf(10303,plain,
% 119.56/119.34 (~E(f313(f313(f139(x103031),x103032),x103033),x103033)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(10312,plain,
% 119.56/119.34 (~E(f313(f313(f139(x103121),x103122),x103123),x103123)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(10321,plain,
% 119.56/119.34 (~E(f313(a103,x103211),x103211)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10328,plain,
% 119.56/119.34 (~E(f313(a103,x103281),x103281)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10331,plain,
% 119.56/119.34 (~E(f313(a103,x103311),x103311)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10340,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f38(a883,x103401,x103402)),x103401))),
% 119.56/119.34 inference(rename_variables,[],[3784])).
% 119.56/119.34 cnf(10343,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x103431),x103432)),x103432))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(10346,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x103461),x103462)),x103462))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(10349,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x103491),x103491))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10352,plain,
% 119.56/119.34 (~E(f313(a103,x103521),x103521)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10370,plain,
% 119.56/119.34 (P1(f313(f313(f315(x103701),x103702),f230(f890(x103701,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(10373,plain,
% 119.56/119.34 (~E(f313(a103,x103731),x103731)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10376,plain,
% 119.56/119.34 (~E(f313(a103,x103761),f2(a883))),
% 119.56/119.34 inference(rename_variables,[],[4469])).
% 119.56/119.34 cnf(10381,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x103811),x103811))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(10402,plain,
% 119.56/119.34 (P1(f313(f313(f315(x104021),x104022),f230(f890(x104021,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(10407,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x104071),f313(a103,x104071)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10431,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x104311),f313(a103,x104311)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10440,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x104401),x104401))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(10455,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x104551),x104551))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10470,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x104701),f313(a103,x104701)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10473,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x104731),f313(a103,x104731)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10500,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x105001),x105002)),x105002))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(10505,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x105051)),x105051))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(10508,plain,
% 119.56/119.34 (E(f313(f250(x105081),x105082),x105082)),
% 119.56/119.34 inference(rename_variables,[],[3177])).
% 119.56/119.34 cnf(10525,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x105251),x105252),f178(f890(x105251,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(10528,plain,
% 119.56/119.34 (E(f161(x105281,x105282,f104(x105281)),x105282)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(10531,plain,
% 119.56/119.34 (E(f107(x105311,f110(x105311),x105312),x105312)),
% 119.56/119.34 inference(rename_variables,[],[3279])).
% 119.56/119.34 cnf(10542,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x105421),f313(a103,x105421)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10561,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x105611),x105611))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(10564,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x105641),f313(a103,x105641)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10571,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x105711),f313(a103,x105711)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10574,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x105741),f313(a103,x105741)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10579,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x105791),x105791))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(10592,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x105921),x105921))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10599,plain,
% 119.56/119.34 (~E(f313(a103,x105991),f2(a883))),
% 119.56/119.34 inference(rename_variables,[],[4469])).
% 119.56/119.34 cnf(10604,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x106041),x106041))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10615,plain,
% 119.56/119.34 (~E(f313(a103,x106151),x106151)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10618,plain,
% 119.56/119.34 (~E(f313(f313(f139(x106181),x106182),x106183),x106183)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(10625,plain,
% 119.56/119.34 (~E(f313(f313(f139(x106251),x106252),x106253),x106253)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(10646,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x106461),x106461))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(10651,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x106511),x106511))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10659,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x106591),x106591))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10664,plain,
% 119.56/119.34 (E(f161(x106641,x106642,f104(x106641)),x106642)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(10667,plain,
% 119.56/119.34 (E(f161(x106671,x106672,f104(x106671)),x106672)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(10670,plain,
% 119.56/119.34 (~E(f313(a103,x106701),x106701)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10673,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x106731),f104(x106731)),x106732))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(10678,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x106781),f104(x106781)),x106782))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(10697,plain,
% 119.56/119.34 (~P1(f313(f313(f223(f890(x106971,a881)),x106972),f178(f890(x106971,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4521])).
% 119.56/119.34 cnf(10702,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x107021)),x107021))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(10705,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x107051)),x107051))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(10710,plain,
% 119.56/119.34 (~E(f313(f296(x107101,f890(x107101,a881),x107102),x107103),f313(f294(x107101),x107103))),
% 119.56/119.34 inference(rename_variables,[],[4511])).
% 119.56/119.34 cnf(10719,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x107191))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(10722,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x107221),x107221))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(10725,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x107251),x107251))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(10730,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x107301),f313(a103,f313(f313(f73(a883),x107302),x107301))))),
% 119.56/119.34 inference(rename_variables,[],[3777])).
% 119.56/119.34 cnf(10733,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x107331),f313(f313(f74(a883),x107331),x107331)))),
% 119.56/119.34 inference(rename_variables,[],[3593])).
% 119.56/119.34 cnf(10736,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x107361),f313(f313(f74(a883),x107361),x107361)))),
% 119.56/119.34 inference(rename_variables,[],[3593])).
% 119.56/119.34 cnf(10739,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x107391),f313(f313(f73(a883),x107392),x107391)))),
% 119.56/119.34 inference(rename_variables,[],[3594])).
% 119.56/119.34 cnf(10742,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x107421),f313(f313(f73(a883),x107422),x107421)))),
% 119.56/119.34 inference(rename_variables,[],[3594])).
% 119.56/119.34 cnf(10747,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x107471,a881)),f313(f296(x107472,x107471,x107473),f313(f297(x107472,x107471,x107473),x107474))),x107474))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(10750,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x107501),x107501))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(10755,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x107551),x107551))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10762,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x107621),x107621))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(10769,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x107691),x107691))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(10788,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x107881),f313(f313(f74(a883),x107881),x107881)))),
% 119.56/119.34 inference(rename_variables,[],[3593])).
% 119.56/119.34 cnf(10791,plain,
% 119.56/119.34 (P1(f313(f230(f890(x107911,a881)),x107912))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(10794,plain,
% 119.56/119.34 (P1(f313(f230(f890(x107941,a881)),x107942))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(10797,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x107971))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(10800,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),f313(a103,f2(a883))),x108001))),
% 119.56/119.34 inference(rename_variables,[],[3490])).
% 119.56/119.34 cnf(10803,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x108031),x108032)),x108032))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(10806,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x108061),x108062)),x108061))),
% 119.56/119.34 inference(rename_variables,[],[4525])).
% 119.56/119.34 cnf(10809,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x108091),x108092)),x108092))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(10812,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x108121),x108122)),x108121))),
% 119.56/119.34 inference(rename_variables,[],[4525])).
% 119.56/119.34 cnf(10815,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x108151)),x108151))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(10820,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x108201)),x108201))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(10827,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x108271),f313(a103,x108271)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(10830,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x108301),f313(f313(f74(a883),x108301),x108301)))),
% 119.56/119.34 inference(rename_variables,[],[3593])).
% 119.56/119.34 cnf(10833,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x108331),f313(f313(f73(a883),x108332),x108331)))),
% 119.56/119.34 inference(rename_variables,[],[3594])).
% 119.56/119.34 cnf(10836,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x108361),f313(f313(f73(a883),x108361),x108362)))),
% 119.56/119.34 inference(rename_variables,[],[3595])).
% 119.56/119.34 cnf(10839,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x108391),x108391))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(10864,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x108641),f104(x108641)),x108642))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(10867,plain,
% 119.56/119.34 (~P1(f313(f55(x108671,x108672,f178(f890(x108671,a881))),x108673))),
% 119.56/119.34 inference(rename_variables,[],[4523])).
% 119.56/119.34 cnf(10870,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x108701),f104(x108701)),x108702))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(10873,plain,
% 119.56/119.34 (~P1(f313(f55(x108731,x108732,f178(f890(x108731,a881))),x108733))),
% 119.56/119.34 inference(rename_variables,[],[4523])).
% 119.56/119.34 cnf(10876,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x108761,f890(x108762,a881))),x108763),x108764))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(10899,plain,
% 119.56/119.34 (~E(f313(a103,x108991),f2(a883))),
% 119.56/119.34 inference(rename_variables,[],[4469])).
% 119.56/119.34 cnf(10977,plain,
% 119.56/119.34 (~E(f313(a103,x109771),x109771)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10980,plain,
% 119.56/119.34 (~E(f313(a103,x109801),x109801)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(10983,plain,
% 119.56/119.34 (~E(f313(f313(f139(x109831),x109832),x109833),x109833)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(11000,plain,
% 119.56/119.34 (P1(f313(f313(f315(x110001),x110002),f230(f890(x110001,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11003,plain,
% 119.56/119.34 (P1(f313(f313(f315(x110031),x110032),f313(f313(f295(x110031),x110032),x110033)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(11006,plain,
% 119.56/119.34 (P1(f313(f313(f315(x110061),x110062),f230(f890(x110061,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11009,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x110091),x110092),f178(f890(x110091,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11014,plain,
% 119.56/119.34 (~E(f313(a103,x110141),x110141)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11021,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x110211),x110212),f178(f890(x110211,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11052,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x110521,f890(x110522,a881))),x110523),x110524))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(11084,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x110841,a881)),f178(f890(x110841,a881))),x110842))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(11087,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x110871),f313(a103,x110871)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(11090,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x110901),x110901))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11095,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x110951),x110951))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(11098,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x110981),x110981))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11107,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x111071),x111071))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11124,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x111241),x111241))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11135,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x111351),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(11138,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x111381),f104(x111381)),x111382))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(11155,plain,
% 119.56/119.34 (E(f313(f313(f122(x111551),f104(x111551)),x111552),x111552)),
% 119.56/119.34 inference(rename_variables,[],[3296])).
% 119.56/119.34 cnf(11169,plain,
% 119.56/119.34 (E(f161(x111691,x111692,f104(x111691)),x111692)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11172,plain,
% 119.56/119.34 (E(f161(x111721,x111722,f104(x111721)),x111722)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11175,plain,
% 119.56/119.34 (~E(f313(a103,x111751),x111751)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11178,plain,
% 119.56/119.34 (~E(f313(a103,x111781),x111781)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11184,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x111841),x111842),f178(f890(x111841,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11191,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x111911,a881)),f178(f890(x111911,a881))),x111912))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(11196,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x111961),f313(a103,x111961)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(11201,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x112011,a881)),x112012),f313(f313(f295(x112011),x112013),x112012)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(11204,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x112041,a881)),x112042),f313(f313(f295(x112041),x112043),x112042)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(11207,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x112071),x112071))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(11210,plain,
% 119.56/119.34 (P1(f313(f313(f315(x112101),x112102),f230(f890(x112101,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11219,plain,
% 119.56/119.34 (P1(f313(f313(f315(x112191),x112192),f230(f890(x112191,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11226,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x112261),x112261))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(11237,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x112371),x112371))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11240,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x112401),f313(f313(f74(a883),x112401),x112401)))),
% 119.56/119.34 inference(rename_variables,[],[3593])).
% 119.56/119.34 cnf(11243,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x112431),x112431))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11250,plain,
% 119.56/119.34 (P1(f313(f230(f890(x112501,a881)),x112502))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(11257,plain,
% 119.56/119.34 (P1(f313(f230(f890(x112571,a881)),x112572))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(11274,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x112741),f104(x112741)),x112742))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(11281,plain,
% 119.56/119.34 (~E(f313(a103,x112811),x112811)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11286,plain,
% 119.56/119.34 (E(f313(f28(a883),f313(f268(a883),x112861)),x112861)),
% 119.56/119.34 inference(rename_variables,[],[3236])).
% 119.56/119.34 cnf(11291,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x112911),f885(x112911))),f313(f313(f240(f885(x112911),f885(x112911)),x112912),f104(x112911))),f135(x112911,x112913)))),
% 119.56/119.34 inference(rename_variables,[],[4530])).
% 119.56/119.34 cnf(11294,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x112941,a881)),f178(f890(x112941,a881))),x112942))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(11297,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x112971,a881)),f178(f890(x112971,a881))),x112972))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(11300,plain,
% 119.56/119.34 (~E(f313(f296(x113001,f890(x113001,a881),x113002),x113003),f313(f294(x113001),x113003))),
% 119.56/119.34 inference(rename_variables,[],[4511])).
% 119.56/119.34 cnf(11313,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x113131,a881)),x113132),x113132))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11316,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x113161),f313(a103,x113161)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(11319,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x113191),x113192),f178(f890(x113191,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11326,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x113261,a881)),f313(f296(x113262,x113261,x113263),f313(f297(x113262,x113261,x113263),x113264))),x113264))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(11343,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x113431),x113432),f178(f890(x113431,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11346,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x113461),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(11349,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x113491),x113492),f178(f890(x113491,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11352,plain,
% 119.56/119.34 (E(f313(f313(f73(a883),x113521),x113522),f313(f313(f73(a883),x113522),x113521))),
% 119.56/119.34 inference(rename_variables,[],[3328])).
% 119.56/119.34 cnf(11357,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x113571),f104(x113571)),x113572))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(11364,plain,
% 119.56/119.34 (~E(f313(a103,x113641),x113641)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11378,plain,
% 119.56/119.34 (P1(f313(f313(f315(x113781),x113782),f230(f890(x113781,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11381,plain,
% 119.56/119.34 (P1(f313(f313(f315(x113811),x113812),f230(f890(x113811,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11384,plain,
% 119.56/119.34 (P1(f313(f313(f315(x113841),x113842),f230(f890(x113841,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11389,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x113891),x113892),f178(f890(x113891,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11392,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x113921,x113921)),f313(f313(f240(x113921,x113921),x113922),x113923)),f141(x113921,f104(f890(x113921,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11395,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x113951),x113952),f178(f890(x113951,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11398,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x113981,x113981)),f313(f313(f240(x113981,x113981),x113982),x113983)),f141(x113981,f104(f890(x113981,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11401,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x114011),x114012),f178(f890(x114011,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11404,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x114041,a881)),x114042),f230(f890(x114041,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11407,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x114071,a881)),x114072),f230(f890(x114071,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11412,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x114121),x114121))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11423,plain,
% 119.56/119.34 (P1(f313(f313(f315(x114231),x114232),f230(f890(x114231,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11426,plain,
% 119.56/119.34 (P1(f313(f313(f315(x114261),x114262),f230(f890(x114261,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11443,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x114431),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(11450,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x114501),x114501))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(11453,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x114531),f104(x114531)),x114532))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(11456,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x114561,a881)),x114562),x114562))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11459,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x114591),x114592),f178(f890(x114591,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11462,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x114621),x114621))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11465,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x114651,a881)),x114652),f230(f890(x114651,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11468,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x114681,a881)),x114682),f230(f890(x114681,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11471,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x114711),x114712),f178(f890(x114711,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11476,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x114761,a881)),x114762),f230(f890(x114761,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11481,plain,
% 119.56/119.34 (~E(f313(a103,x114811),f2(a883))),
% 119.56/119.34 inference(rename_variables,[],[4469])).
% 119.56/119.34 cnf(11484,plain,
% 119.56/119.34 (~E(f313(f313(f139(x114841),x114842),x114843),f104(x114841))),
% 119.56/119.34 inference(rename_variables,[],[4484])).
% 119.56/119.34 cnf(11487,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x114871),x114872),f178(f890(x114871,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11490,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x114901),x114902),f178(f890(x114901,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11495,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x114951),x114951))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11500,plain,
% 119.56/119.34 (E(f313(f28(a883),f313(f268(a883),x115001)),x115001)),
% 119.56/119.34 inference(rename_variables,[],[3236])).
% 119.56/119.34 cnf(11505,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x115051),f104(x115051)),x115052))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(11512,plain,
% 119.56/119.34 (P1(f313(f313(f315(x115121),x115122),f230(f890(x115121,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11517,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x115171),x115172),f178(f890(x115171,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11520,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x115201,x115201)),f313(f313(f240(x115201,x115201),x115202),x115203)),f141(x115201,f104(f890(x115201,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11523,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x115231),x115232),f178(f890(x115231,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11532,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x115321,a881)),x115322),f230(f890(x115321,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11535,plain,
% 119.56/119.34 (P1(f313(f313(f315(x115351),x115352),f230(f890(x115351,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11538,plain,
% 119.56/119.34 (P1(f313(f313(f315(x115381),x115382),f313(f313(f295(x115381),x115382),x115383)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(11541,plain,
% 119.56/119.34 (P1(f313(f313(f315(x115411),x115412),f230(f890(x115411,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11544,plain,
% 119.56/119.34 (P1(f313(f313(f315(x115441),x115442),f313(f313(f295(x115441),x115442),x115443)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(11547,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x115471,a881)),x115472),f230(f890(x115471,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11556,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x115561),f104(x115561)),x115562))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(11571,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x115711),x115711))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(11574,plain,
% 119.56/119.34 (E(f313(f296(x115741,x115741,f7(x115741)),x115742),x115742)),
% 119.56/119.34 inference(rename_variables,[],[3395])).
% 119.56/119.34 cnf(11577,plain,
% 119.56/119.34 (E(f161(x115771,x115772,f104(x115771)),x115772)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11580,plain,
% 119.56/119.34 (~E(f313(a103,x115801),x115801)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11587,plain,
% 119.56/119.34 (P1(f313(f313(f315(x115871),x115872),f230(f890(x115871,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11592,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x115921),x115922),f178(f890(x115921,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11595,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(x115951,x115951)),f313(f313(f240(x115951,x115951),x115952),x115952)),f293(x115951,x115953)))),
% 119.56/119.34 inference(rename_variables,[],[3959])).
% 119.56/119.34 cnf(11604,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116041),x116042),f178(f890(x116041,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11609,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x116091,a881)),x116092),x116092))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11612,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116121),x116122),f178(f890(x116121,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11615,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x116151,x116151)),f313(f313(f240(x116151,x116151),x116152),x116153)),f141(x116151,f104(f890(x116151,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11618,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x116181),f885(x116181))),f313(f313(f240(f885(x116181),f885(x116181)),x116182),f104(x116181))),f133(x116181,x116183)))),
% 119.56/119.34 inference(rename_variables,[],[4529])).
% 119.56/119.34 cnf(11623,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116231),x116232),f230(f890(x116231,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11626,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x116261),x116261))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(11629,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116291),x116292),f230(f890(x116291,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11634,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116341),x116342),f230(f890(x116341,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11637,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116371),x116372),f178(f890(x116371,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11640,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x116401,a881)),x116402),x116402))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11643,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x116431),x116431))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11646,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116461),x116462),f178(f890(x116461,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11649,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x116491,x116491)),f313(f313(f240(x116491,x116491),x116492),x116493)),f141(x116491,f104(f890(x116491,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11652,plain,
% 119.56/119.34 (P1(f313(f230(f890(x116521,a881)),x116522))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(11655,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116551),x116552),f178(f890(x116551,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11658,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x116581,x116581)),f313(f313(f240(x116581,x116581),x116582),x116583)),f141(x116581,f104(f890(x116581,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11661,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116611),x116612),f178(f890(x116611,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11664,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x116641,a881)),x116642),x116642))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11667,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x116671,a881)),x116672),x116672))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11670,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116701),x116702),f178(f890(x116701,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11675,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116751),x116752),f230(f890(x116751,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11678,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116781),x116782),f313(f313(f295(x116781),x116782),x116783)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(11685,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x116851),x116852),f178(f890(x116851,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11688,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x116881,x116881)),f313(f313(f240(x116881,x116881),x116882),x116883)),f141(x116881,f104(f890(x116881,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11695,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116951),x116952),f230(f890(x116951,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11698,plain,
% 119.56/119.34 (P1(f313(f313(f315(x116981),x116982),f230(f890(x116981,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11701,plain,
% 119.56/119.34 (P1(f313(f313(f315(x117011),x117012),f230(f890(x117011,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11704,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x117041),x117041))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(11709,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117091),x117092),f178(f890(x117091,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11712,plain,
% 119.56/119.34 (P1(f313(f313(f315(x117121),x117122),f230(f890(x117121,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11715,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117151),x117152),f178(f890(x117151,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11720,plain,
% 119.56/119.34 (P1(f313(f313(f315(x117201),x117202),f313(f313(f295(x117201),x117202),x117203)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(11723,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x117231),x117231))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11726,plain,
% 119.56/119.34 (~E(f313(f296(x117261,f890(x117261,a881),x117262),x117263),f313(f294(x117261),x117263))),
% 119.56/119.34 inference(rename_variables,[],[4511])).
% 119.56/119.34 cnf(11732,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x117321),f885(x117321))),f313(f313(f240(f885(x117321),f885(x117321)),x117322),f104(x117321))),f145(x117321,x117323)))),
% 119.56/119.34 inference(rename_variables,[],[4531])).
% 119.56/119.34 cnf(11737,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117371),x117372),f178(f890(x117371,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11740,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117401),x117402),f178(f890(x117401,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11743,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117431),x117432),f178(f890(x117431,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11746,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117461),x117462),f178(f890(x117461,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11749,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(f885(x117491),f885(x117491))),f313(f313(f240(f885(x117491),f885(x117491)),x117492),x117492)),f146(x117491,f293(x117491,x117493))))),
% 119.56/119.34 inference(rename_variables,[],[4089])).
% 119.56/119.34 cnf(11752,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(f885(x117521),f885(x117521))),f313(f313(f240(f885(x117521),f885(x117521)),x117522),x117522)),f146(x117521,f293(x117521,x117523))))),
% 119.56/119.34 inference(rename_variables,[],[4089])).
% 119.56/119.34 cnf(11755,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x117551,a881)),x117552),x117552))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11760,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117601),x117602),f178(f890(x117601,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11763,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x117631,x117631)),f313(f313(f240(x117631,x117631),x117632),x117633)),f141(x117631,f104(f890(x117631,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11770,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x117701,x117701)),f313(f313(f240(x117701,x117701),x117702),x117703)),f141(x117701,f104(f890(x117701,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11777,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x117771,a881)),x117772),x117772))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(11780,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117801),x117802),f178(f890(x117801,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11783,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x117831),x117832),f178(f890(x117831,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(11786,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x117861,a881)),x117862),f230(f890(x117861,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11789,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x117891,a881)),x117892),f230(f890(x117891,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(11792,plain,
% 119.56/119.34 (P1(f313(f313(f315(x117921),f313(x117922,x117923)),f313(f296(x117924,x117921,x117922),f230(f890(x117924,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(11795,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x117951,x117951)),f313(f313(f240(x117951,x117951),x117952),x117953)),f141(x117951,f104(f890(x117951,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(11806,plain,
% 119.56/119.34 (E(f161(x118061,x118062,f104(x118061)),x118062)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11826,plain,
% 119.56/119.34 (E(f161(x118261,x118262,f104(x118261)),x118262)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11837,plain,
% 119.56/119.34 (E(f161(x118371,x118372,f104(x118371)),x118372)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11844,plain,
% 119.56/119.34 (E(f161(x118441,x118442,f104(x118441)),x118442)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11917,plain,
% 119.56/119.34 (E(f161(x119171,x119172,f104(x119171)),x119172)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11919,plain,
% 119.56/119.34 (~E(f313(a103,x119191),x119191)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11923,plain,
% 119.56/119.34 (P1(f313(f313(f315(x119231),x119232),f230(f890(x119231,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(11932,plain,
% 119.56/119.34 (~E(f313(a103,x119321),x119321)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11935,plain,
% 119.56/119.34 (~E(f313(a103,x119351),x119351)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11944,plain,
% 119.56/119.34 (P1(f313(f313(f315(x119441),x119442),f313(f313(f295(x119441),x119442),x119443)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(11947,plain,
% 119.56/119.34 (P1(f313(f313(f315(x119471),f313(x119472,x119473)),f313(f296(x119474,x119471,x119472),f230(f890(x119474,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(11974,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x119741),x119741))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(11977,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x119771)),x119771))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(11984,plain,
% 119.56/119.34 (~E(f313(a103,x119841),x119841)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(11992,plain,
% 119.56/119.34 (E(f161(x119921,x119922,f104(x119921)),x119922)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11995,plain,
% 119.56/119.34 (E(f161(x119951,x119952,f104(x119951)),x119952)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(11998,plain,
% 119.56/119.34 (~E(f313(f313(f139(x119981),x119982),x119983),x119983)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(12001,plain,
% 119.56/119.34 (~E(f313(f313(f139(x120011),x120012),x120013),x120013)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(12004,plain,
% 119.56/119.34 (E(f313(f129(x120041),f313(f313(f139(x120041),x120042),x120043)),x120042)),
% 119.56/119.34 inference(rename_variables,[],[3385])).
% 119.56/119.34 cnf(12005,plain,
% 119.56/119.34 (~E(f313(f313(f139(x120051),x120052),x120053),x120053)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(12008,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x120081,a881)),x120082),f230(f890(x120081,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(12025,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x120251),x120251))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12040,plain,
% 119.56/119.34 (P1(f313(f54(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),x120401)),f313(f313(f9(a883,a883,a881),f223(a883)),x120402)))))),
% 119.56/119.34 inference(rename_variables,[],[4347])).
% 119.56/119.34 cnf(12049,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x120491),x120491))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12052,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a1),f2(a1)),f313(f72(a1),f313(f91(a1),f313(a103,x120521)))))),
% 119.56/119.34 inference(rename_variables,[],[4526])).
% 119.56/119.34 cnf(12053,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x120531))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(12062,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),f313(f72(a1),f313(f91(a1),x120621))),f313(f91(a1),x120622)))),
% 119.56/119.34 inference(rename_variables,[],[3808])).
% 119.56/119.34 cnf(12067,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x120671),x120671))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12070,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x120701),x120701))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12073,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x120731),x120731))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12080,plain,
% 119.56/119.34 (~E(f313(a103,x120801),x120801)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12083,plain,
% 119.56/119.34 (E(f161(x120831,x120832,f104(x120831)),x120832)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(12088,plain,
% 119.56/119.34 (E(f161(x120881,x120882,f104(x120881)),x120882)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(12091,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x120911),x120911))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12092,plain,
% 119.56/119.34 (E(f161(x120921,x120922,f104(x120921)),x120922)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(12109,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x121091),x121091))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12112,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x121121),x121121))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12115,plain,
% 119.56/119.34 (P1(f313(f313(f315(x121151),x121152),f230(f890(x121151,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12116,plain,
% 119.56/119.34 (~E(f313(a103,x121161),f2(a883))),
% 119.56/119.34 inference(rename_variables,[],[4469])).
% 119.56/119.34 cnf(12119,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x121191,a881)),f313(f296(x121192,x121191,x121193),f313(f297(x121192,x121191,x121193),x121194))),x121194))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12123,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x121231,a881)),f313(f296(x121232,x121231,x121233),f313(f297(x121232,x121231,x121233),x121234))),x121234))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12127,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x121271,a881)),x121272),f313(f313(f295(x121271),x121273),x121272)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(12130,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x121301),x121301))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12133,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x121331),x121331))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12138,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x121381),x121381))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12145,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x121451),x121451))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12162,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x121621),f313(a103,x121621)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12165,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x121651,a881)),x121652),f313(f313(f295(x121651),x121653),x121652)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(12168,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x121681,a881)),f313(f296(x121682,x121681,x121683),f313(f297(x121682,x121681,x121683),x121684))),x121684))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12171,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x121711),x121711))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12174,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x121741),x121741))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12209,plain,
% 119.56/119.34 (P1(f313(f54(x122091),f178(f890(x122091,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(12232,plain,
% 119.56/119.34 (~E(f313(a103,x122321),x122321)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12235,plain,
% 119.56/119.34 (~E(f313(f313(f139(x122351),x122352),x122353),x122353)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(12240,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f313(f313(f3(a883),x122401),x122402)),f313(a103,x122401)))),
% 119.56/119.34 inference(rename_variables,[],[3779])).
% 119.56/119.34 cnf(12243,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x122431)),x122431))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12244,plain,
% 119.56/119.34 (~E(f313(a103,x122441),x122441)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12249,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x122491),f313(a103,x122491)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12272,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x122721),x122721))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12275,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x122751),x122751))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12278,plain,
% 119.56/119.34 (E(f161(x122781,x122782,f104(x122781)),x122782)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(12283,plain,
% 119.56/119.34 (~P1(f313(f313(f160(x122831),f104(x122831)),x122832))),
% 119.56/119.34 inference(rename_variables,[],[4509])).
% 119.56/119.34 cnf(12289,plain,
% 119.56/119.34 (~E(f313(a103,x122891),x122891)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12292,plain,
% 119.56/119.34 (~E(f313(f313(f139(x122921),x122922),x122923),x122923)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(12304,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x123041),x123042)),x123042))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(12305,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x123051),f313(a103,x123051)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12320,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a1),f313(f91(a1),x123201)),f313(f72(a1),f313(f91(a1),x123202))))),
% 119.56/119.34 inference(rename_variables,[],[4522])).
% 119.56/119.34 cnf(12323,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),f2(a1)),f313(f91(a1),x123231)))),
% 119.56/119.34 inference(rename_variables,[],[3438])).
% 119.56/119.34 cnf(12334,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x123341),f313(a103,f313(f313(f73(a883),x123342),x123341))))),
% 119.56/119.34 inference(rename_variables,[],[3777])).
% 119.56/119.34 cnf(12335,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x123351),f313(a103,x123351)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12342,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f38(a883,x123421,x123422)),x123421))),
% 119.56/119.34 inference(rename_variables,[],[3784])).
% 119.56/119.34 cnf(12343,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x123431)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(12368,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x123681),x123681))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12371,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x123711)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(12374,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x123741)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(12377,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x123771)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(12380,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x123801)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(12383,plain,
% 119.56/119.34 (P1(f313(f313(f315(x123831),f313(x123832,x123833)),f313(f296(x123834,x123831,x123832),f230(f890(x123834,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(12384,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x123841),x123842)),x123842))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(12387,plain,
% 119.56/119.34 (P1(f313(f313(f315(x123871),f313(x123872,x123873)),f313(f296(x123874,x123871,x123872),f230(f890(x123874,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(12388,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x123881)),x123881))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12400,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x124001),f313(f313(f74(a883),x124001),x124001)))),
% 119.56/119.34 inference(rename_variables,[],[3593])).
% 119.56/119.34 cnf(12401,plain,
% 119.56/119.34 (E(f313(f313(f74(a883),x124011),f71(a883)),x124011)),
% 119.56/119.34 inference(rename_variables,[],[3237])).
% 119.56/119.34 cnf(12412,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a1),f313(f91(a1),x124121)),f313(f72(a1),f313(f91(a1),x124122))))),
% 119.56/119.34 inference(rename_variables,[],[4522])).
% 119.56/119.34 cnf(12415,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f38(a883,x124151,x124152)),x124151))),
% 119.56/119.34 inference(rename_variables,[],[3784])).
% 119.56/119.34 cnf(12418,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x124181),x124182)),x124182))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(12419,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x124191),x124192)),x124191))),
% 119.56/119.34 inference(rename_variables,[],[4525])).
% 119.56/119.34 cnf(12456,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x124561),x124561))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12481,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x124811),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(12484,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x124841),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(12497,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x124971,a881)),x124972),x124972))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(12500,plain,
% 119.56/119.34 (P24(x125001,x125001,f7(x125001),x125002)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(12503,plain,
% 119.56/119.34 (E(f161(x125031,x125032,f104(x125031)),x125032)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(12506,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x125061)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(12509,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x125091),x125091))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12510,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x125101),f313(a103,x125101)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12513,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x125131),x125131))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12516,plain,
% 119.56/119.34 (E(f313(f313(f73(a1),a76),x125161),x125161)),
% 119.56/119.34 inference(rename_variables,[],[3223])).
% 119.56/119.34 cnf(12524,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x125241),x125241))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12525,plain,
% 119.56/119.34 (~E(f313(a103,x125251),x125251)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12528,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x125281),x125281))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12529,plain,
% 119.56/119.34 (~E(f313(a103,x125291),x125291)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12532,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x125321),x125321))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12533,plain,
% 119.56/119.34 (~E(f313(a103,x125331),x125331)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12545,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x125451),x125451))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12550,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x125501),x125501))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12559,plain,
% 119.56/119.34 (P31(x125591,x125592,f104(x125591),f104(x125591))),
% 119.56/119.34 inference(rename_variables,[],[3578])).
% 119.56/119.34 cnf(12565,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x125651),x125651))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(12568,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x125681),x125681))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(12571,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x125711),f313(a103,x125711)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12574,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x125741),f313(a103,x125741)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12577,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x125771),x125771))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12580,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x125801),x125801))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12583,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x125831),x125831))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12586,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x125861),x125861))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12589,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x125891),x125891))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12592,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x125921),x125921))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12595,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x125951),x125951))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12598,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x125981),x125981))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12605,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x126051,a881)),x126052),f313(f313(f295(x126051),x126053),x126052)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(12606,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x126061,a881)),x126062),f230(f890(x126061,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(12609,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x126091,a881)),f313(f296(x126092,x126091,x126093),f313(f297(x126092,x126091,x126093),x126094))),x126094))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12610,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x126101,a881)),f178(f890(x126101,a881))),x126102))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(12615,plain,
% 119.56/119.34 (~P1(f313(f313(f223(f890(x126151,a881)),x126152),f178(f890(x126151,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4521])).
% 119.56/119.34 cnf(12618,plain,
% 119.56/119.34 (~P1(f313(f313(f223(f890(x126181,a881)),x126182),f178(f890(x126181,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4521])).
% 119.56/119.34 cnf(12629,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126291),x126291))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12632,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126321),x126321))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12635,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126351),x126351))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12640,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126401),x126401))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12647,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x126471),x126471))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12650,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x126501),x126501))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12653,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x126531),x126531))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12656,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x126561),x126561))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12659,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x126591),x126591))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12662,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x126621),x126621))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12665,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x126651),x126651))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12668,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x126681),x126681))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12671,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x126711,a881)),x126712),f313(f313(f295(x126711),x126713),x126712)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(12674,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x126741,a881)),f313(f296(x126742,x126741,x126743),f313(f297(x126742,x126741,x126743),x126744))),x126744))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12677,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x126771),x126771))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(12682,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126821),x126821))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12685,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126851),x126851))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12688,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126881),x126881))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12691,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x126911),x126912)),x126912))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(12694,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x126941),x126941))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12697,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),f313(f313(f73(a883),x126971),x126972)),x126972))),
% 119.56/119.34 inference(rename_variables,[],[4524])).
% 119.56/119.34 cnf(12700,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x127001)),x127001))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12703,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x127031)),x127031))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12706,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x127061)),x127061))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12711,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x127111)),x127111))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12726,plain,
% 119.56/119.34 (P1(f313(f313(f315(x127261),x127262),f313(f313(f295(x127261),x127262),x127263)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(12769,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x127691,x127692)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(12774,plain,
% 119.56/119.34 (P1(f313(f313(f315(x127741),x127742),f230(f890(x127741,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12777,plain,
% 119.56/119.34 (P24(x127771,x127771,f7(x127771),x127772)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(12780,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x127801)),x127801))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(12781,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x127811),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(12789,plain,
% 119.56/119.34 (P1(f313(f313(f315(x127891),x127892),f230(f890(x127891,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12790,plain,
% 119.56/119.34 (~E(f313(a103,x127901),x127901)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12793,plain,
% 119.56/119.34 (P1(f313(f313(f315(f890(x127931,a881)),x127932),f313(f294(x127931),x127932)))),
% 119.56/119.34 inference(rename_variables,[],[3693])).
% 119.56/119.34 cnf(12794,plain,
% 119.56/119.34 (~E(f313(a103,x127941),x127941)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12805,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x128051))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(12806,plain,
% 119.56/119.34 (~E(f313(a103,x128061),x128061)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12815,plain,
% 119.56/119.34 (P1(f313(f230(f890(x128151,a881)),x128152))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(12816,plain,
% 119.56/119.34 (~E(f313(a103,x128161),x128161)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12827,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x128271),x128271))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(12828,plain,
% 119.56/119.34 (~E(f313(a103,x128281),x128281)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12834,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),f313(a103,f2(a883))),x128341))),
% 119.56/119.34 inference(rename_variables,[],[3490])).
% 119.56/119.34 cnf(12837,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),f313(a103,f2(a883))),x128371))),
% 119.56/119.34 inference(rename_variables,[],[3490])).
% 119.56/119.34 cnf(12840,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x128401),x128401))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(12851,plain,
% 119.56/119.34 (~E(f313(a103,x128511),x128511)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(12852,plain,
% 119.56/119.34 (E(f313(f296(x128521,x128521,f7(x128521)),x128522),x128522)),
% 119.56/119.34 inference(rename_variables,[],[3395])).
% 119.56/119.34 cnf(12859,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x128591,a881)),x128592),x128592))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(12866,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x128661,a881)),x128662),f313(f313(f295(x128661),x128663),x128662)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(12869,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x128691,a881)),f313(f296(x128692,x128691,x128693),f313(f297(x128692,x128691,x128693),x128694))),x128694))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12878,plain,
% 119.56/119.34 (P1(f313(f313(f315(x128781),x128782),f230(f890(x128781,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12885,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x128851),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(12886,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x128861),f313(a103,x128861)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(12897,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),f313(a103,f2(a883))),x128971))),
% 119.56/119.34 inference(rename_variables,[],[3490])).
% 119.56/119.34 cnf(12920,plain,
% 119.56/119.34 (P1(f313(f54(x129201),f178(f890(x129201,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(12933,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x129331,a881)),x129332),x129332))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(12936,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x129361,a881)),f313(f296(x129362,x129361,x129363),f313(f297(x129362,x129361,x129363),x129364))),x129364))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(12939,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x129391,f890(x129392,a881))),x129393),x129394))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(12942,plain,
% 119.56/119.34 (P1(f313(f313(f315(x129421),x129422),f230(f890(x129421,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12945,plain,
% 119.56/119.34 (P1(f313(f313(f315(f890(x129451,a881)),x129452),f313(f294(x129451),x129452)))),
% 119.56/119.34 inference(rename_variables,[],[3693])).
% 119.56/119.34 cnf(12948,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x129481,f890(x129482,a881))),x129483),x129484))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(12951,plain,
% 119.56/119.34 (P24(x129511,x129511,f7(x129511),x129512)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(12956,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a1),f313(f91(a1),x129561)),f2(a1)))),
% 119.56/119.34 inference(rename_variables,[],[4517])).
% 119.56/119.34 cnf(12967,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x129671,f890(x129672,a881))),x129673),x129674))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(12970,plain,
% 119.56/119.34 (P1(f313(f313(f315(x129701),x129702),f230(f890(x129701,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12976,plain,
% 119.56/119.34 (E(f313(f179(f885(x129761)),f157(x129761,x129762,x129763)),x129762)),
% 119.56/119.34 inference(rename_variables,[],[3405])).
% 119.56/119.34 cnf(12983,plain,
% 119.56/119.34 (P1(f313(f313(f315(x129831),x129832),f230(f890(x129831,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12986,plain,
% 119.56/119.34 (P1(f313(f313(f315(x129861),x129862),f313(f313(f295(x129861),x129862),x129863)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(12989,plain,
% 119.56/119.34 (P1(f313(f313(f315(x129891),x129892),f230(f890(x129891,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(12992,plain,
% 119.56/119.34 (P1(f313(f313(f315(x129921),x129922),f313(f313(f295(x129921),x129922),x129923)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(12995,plain,
% 119.56/119.34 (P24(x129951,x129951,f7(x129951),x129952)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(12998,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x129981),x129981))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13001,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x130011),x130011))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13005,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x130051))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13010,plain,
% 119.56/119.34 (P1(f313(f313(f315(x130101),x130102),f230(f890(x130101,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13013,plain,
% 119.56/119.34 (P1(f313(f313(f315(f890(x130131,a881)),x130132),f313(f294(x130131),x130132)))),
% 119.56/119.34 inference(rename_variables,[],[3693])).
% 119.56/119.34 cnf(13016,plain,
% 119.56/119.34 (P1(f313(f313(f315(x130161),x130162),f230(f890(x130161,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13025,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x130251),x130251))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13026,plain,
% 119.56/119.34 (~E(f313(a103,x130261),x130261)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13029,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x130291),x130291))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13030,plain,
% 119.56/119.34 (~E(f313(a103,x130301),x130301)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13038,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x130381),x130382),f178(f890(x130381,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13047,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x130471),x130472),f178(f890(x130471,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13050,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(x130501,x130501)),f313(f313(f240(x130501,x130501),x130502),x130503)),f141(x130501,f104(f890(x130501,a883)))))),
% 119.56/119.34 inference(rename_variables,[],[4528])).
% 119.56/119.34 cnf(13053,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x130531),f885(x130531))),f313(f313(f240(f885(x130531),f885(x130531)),x130532),f104(x130531))),f133(x130531,x130533)))),
% 119.56/119.34 inference(rename_variables,[],[4529])).
% 119.56/119.34 cnf(13054,plain,
% 119.56/119.34 (P1(f313(f313(f315(x130541),x130542),f230(f890(x130541,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13059,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x130591,f890(x130592,a881))),x130593),x130594))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(13062,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x130621),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13063,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x130631),x130631))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13066,plain,
% 119.56/119.34 (P24(x130661,x130661,f7(x130661),x130662)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13069,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x130691),x130691))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13072,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x130721),x130721))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13077,plain,
% 119.56/119.34 (P1(f313(f54(x130771),f313(f160(x130771),x130772)))),
% 119.56/119.34 inference(rename_variables,[],[3379])).
% 119.56/119.34 cnf(13080,plain,
% 119.56/119.34 (P1(f313(f54(x130801),f313(f160(x130801),x130802)))),
% 119.56/119.34 inference(rename_variables,[],[3379])).
% 119.56/119.34 cnf(13083,plain,
% 119.56/119.34 (E(f313(f313(f18(x130831,x130832),x130833),x130834),x130833)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(13086,plain,
% 119.56/119.34 (E(f313(f313(f18(x130861,x130862),x130863),x130864),x130863)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(13092,plain,
% 119.56/119.34 (E(f161(x130921,x130922,f104(x130921)),x130922)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13095,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x130951,a881)),f178(f890(x130951,a881))),x130952))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(13120,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x131201),x131201))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13123,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x131231),x131231))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13126,plain,
% 119.56/119.34 (E(f161(x131261,x131262,f104(x131261)),x131262)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13129,plain,
% 119.56/119.34 (E(f107(x131291,f110(x131291),x131292),x131292)),
% 119.56/119.34 inference(rename_variables,[],[3279])).
% 119.56/119.34 cnf(13132,plain,
% 119.56/119.34 (E(f161(x131321,x131322,f104(x131321)),x131322)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13138,plain,
% 119.56/119.34 (E(f161(x131381,x131382,f104(x131381)),x131382)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13141,plain,
% 119.56/119.34 (E(f161(x131411,x131412,f104(x131411)),x131412)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13148,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x131481,a881)),f178(f890(x131481,a881))),x131482))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(13153,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x131531,a881)),x131532),f313(f313(f295(x131531),x131533),x131532)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(13156,plain,
% 119.56/119.34 (P24(x131561,x131561,f7(x131561),x131562)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13159,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x131591),x131591))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13160,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x131601),f313(a103,x131601)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13166,plain,
% 119.56/119.34 (E(f161(x131661,x131662,f104(x131661)),x131662)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13171,plain,
% 119.56/119.34 (~E(f313(a103,x131711),x131711)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13176,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x131761,a881)),f313(f296(x131762,x131761,x131763),f313(f297(x131762,x131761,x131763),x131764))),x131764))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(13182,plain,
% 119.56/119.34 (P1(f313(f54(x131821),f178(f890(x131821,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(13183,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x131831),x131832),f178(f890(x131831,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13188,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x131881),x131882),f178(f890(x131881,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13191,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x131911),x131912),f178(f890(x131911,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13194,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x131941),x131942),f178(f890(x131941,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13197,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x131971),x131971))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13200,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x132001),f313(a103,x132001)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13203,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x132031),x132031))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13206,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x132061),x132061))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13211,plain,
% 119.56/119.34 (P1(f313(f313(f315(x132111),x132112),f230(f890(x132111,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13216,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x132161),x132161))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13219,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x132191),x132191))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13222,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x132221)),x132221))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(13225,plain,
% 119.56/119.34 (P1(f313(f313(f315(x132251),x132252),f230(f890(x132251,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13228,plain,
% 119.56/119.34 (~P1(f313(f313(f178(f890(x132281,f890(x132282,a881))),x132283),x132284))),
% 119.56/119.34 inference(rename_variables,[],[4527])).
% 119.56/119.34 cnf(13244,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x132441,a881)),x132442),x132442))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13247,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x132471,a881)),x132472),x132472))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13250,plain,
% 119.56/119.34 (P1(f313(f313(f315(x132501),x132502),f313(f313(f295(x132501),x132502),x132503)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(13253,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(f885(x132531),f885(x132531))),f313(f313(f240(f885(x132531),f885(x132531)),x132532),x132532)),f146(x132531,f293(x132531,x132533))))),
% 119.56/119.34 inference(rename_variables,[],[4089])).
% 119.56/119.34 cnf(13254,plain,
% 119.56/119.34 (P1(f313(f313(f315(x132541),x132542),f230(f890(x132541,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13261,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x132611),x132612),f178(f890(x132611,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13264,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x132641),x132642),f178(f890(x132641,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13267,plain,
% 119.56/119.34 (P1(f313(f54(x132671),f313(f160(x132671),x132672)))),
% 119.56/119.34 inference(rename_variables,[],[3379])).
% 119.56/119.34 cnf(13270,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x132701),f885(x132701))),f313(f313(f240(f885(x132701),f885(x132701)),x132702),f104(x132701))),f133(x132701,x132703)))),
% 119.56/119.34 inference(rename_variables,[],[4529])).
% 119.56/119.34 cnf(13271,plain,
% 119.56/119.34 (~E(f313(a103,x132711),x132711)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13274,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x132741),f885(x132741))),f313(f313(f240(f885(x132741),f885(x132741)),x132742),f104(x132741))),f133(x132741,x132743)))),
% 119.56/119.34 inference(rename_variables,[],[4529])).
% 119.56/119.34 cnf(13275,plain,
% 119.56/119.34 (~E(f313(a103,x132751),x132751)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13278,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x132781),x132782),f178(f890(x132781,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13281,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x132811),x132812),f178(f890(x132811,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13284,plain,
% 119.56/119.34 (E(f313(f313(f122(x132841),x132842),f104(x132841)),x132842)),
% 119.56/119.34 inference(rename_variables,[],[3272])).
% 119.56/119.34 cnf(13285,plain,
% 119.56/119.34 (~E(f313(f313(f139(x132851),x132852),x132853),x132853)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(13288,plain,
% 119.56/119.34 (E(f313(f313(f122(x132881),x132882),f104(x132881)),x132882)),
% 119.56/119.34 inference(rename_variables,[],[3272])).
% 119.56/119.34 cnf(13289,plain,
% 119.56/119.34 (~E(f313(f313(f139(x132891),x132892),x132893),x132893)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(13292,plain,
% 119.56/119.34 (E(f161(x132921,x132922,f104(x132921)),x132922)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13293,plain,
% 119.56/119.34 (E(f313(f313(f163(x132931),x132932),f104(x132931)),f104(x132931))),
% 119.56/119.34 inference(rename_variables,[],[3287])).
% 119.56/119.34 cnf(13300,plain,
% 119.56/119.34 (~E(f313(f313(f139(x133001),x133002),x133003),x133003)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(13303,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133031,a881)),x133032),x133032))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13306,plain,
% 119.56/119.34 (P1(f313(f313(f315(x133061),f313(x133062,x133063)),f313(f296(x133064,x133061,x133062),f230(f890(x133064,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13309,plain,
% 119.56/119.34 (P1(f313(f313(f315(x133091),f313(x133092,x133093)),f313(f296(x133094,x133091,x133092),f230(f890(x133094,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13314,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x133141),x133142),f178(f890(x133141,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13317,plain,
% 119.56/119.34 (P1(f313(f313(f315(f885(x133171)),f104(x133171)),f149(x133171,x133172)))),
% 119.56/119.34 inference(rename_variables,[],[3531])).
% 119.56/119.34 cnf(13320,plain,
% 119.56/119.34 (P1(f313(f313(f315(x133201),x133202),f230(f890(x133201,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13323,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133231,a881)),x133232),x133232))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13326,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133261,a881)),x133262),x133262))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13329,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133291,a881)),x133292),f230(f890(x133291,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3710])).
% 119.56/119.34 cnf(13330,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133301,a881)),x133302),x133302))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13337,plain,
% 119.56/119.34 (P1(f313(f313(f315(x133371),f313(x133372,x133373)),f313(f296(x133374,x133371,x133372),f230(f890(x133374,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13338,plain,
% 119.56/119.34 (P1(f313(f313(f315(x133381),f313(x133382,x133383)),f313(f296(x133384,x133381,x133382),f230(f890(x133384,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13344,plain,
% 119.56/119.34 (E(f161(x133441,x133442,f104(x133441)),x133442)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13350,plain,
% 119.56/119.34 (~E(f313(a103,x133501),x133501)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13353,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x133531),x133532),f178(f890(x133531,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13356,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x133561),x133562),f178(f890(x133561,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13359,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x133591),f885(x133591))),f313(f313(f240(f885(x133591),f885(x133591)),x133592),f104(x133591))),f133(x133591,x133593)))),
% 119.56/119.34 inference(rename_variables,[],[4529])).
% 119.56/119.34 cnf(13360,plain,
% 119.56/119.34 (~E(f313(a103,x133601),x133601)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13369,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x133691),x133692),f178(f890(x133691,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13372,plain,
% 119.56/119.34 (P1(f313(f313(f315(x133721),x133722),f230(f890(x133721,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13373,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x133731),x133731))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13376,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133761,a881)),f178(f890(x133761,a881))),x133762))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(13377,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133771,a881)),x133772),x133772))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13380,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x133801),x133801))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13381,plain,
% 119.56/119.34 (P1(f313(f230(f890(x133811,a881)),x133812))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(13384,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133841,a881)),x133842),x133842))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13387,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133871,a881)),x133872),f313(f313(f295(x133871),x133873),x133872)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(13390,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133901,a881)),x133902),x133902))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13391,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x133911),x133912),f178(f890(x133911,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13394,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133941,a881)),f313(f296(x133942,x133941,x133943),f313(f297(x133942,x133941,x133943),x133944))),x133944))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(13395,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x133951),x133952),f178(f890(x133951,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13398,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x133981,a881)),x133982),x133982))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13401,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x134011),x134011))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13404,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x134041),x134042),f178(f890(x134041,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13407,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x134071),x134071))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13410,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x134101),x134101))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13411,plain,
% 119.56/119.34 (P1(f313(f230(f890(x134111,a881)),x134112))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(13414,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x134141),x134141))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13415,plain,
% 119.56/119.34 (~E(f313(a103,x134151),x134151)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13419,plain,
% 119.56/119.34 (P1(f313(f313(f315(x134191),x134192),f230(f890(x134191,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13422,plain,
% 119.56/119.34 (E(f313(f313(f122(x134221),f313(f313(f139(x134221),x134222),x134223)),x134224),f313(f313(f139(x134221),x134222),f313(f313(f122(x134221),x134223),x134224)))),
% 119.56/119.34 inference(rename_variables,[],[3718])).
% 119.56/119.34 cnf(13425,plain,
% 119.56/119.34 (P1(f313(f54(x134251),f313(f160(x134251),x134252)))),
% 119.56/119.34 inference(rename_variables,[],[3379])).
% 119.56/119.34 cnf(13428,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x134281,a881)),x134282),x134282))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13439,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x134391),x134391))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13440,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x134401),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13443,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x134431),x134432),f178(f890(x134431,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13446,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x134461),x134462),f178(f890(x134461,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13447,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x134471),x134472),f178(f890(x134471,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13450,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x134501),x134501))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13453,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x134531),x134531))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13456,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x134561),x134562),f178(f890(x134561,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13459,plain,
% 119.56/119.34 (P1(f313(f313(f315(x134591),x134592),f230(f890(x134591,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13460,plain,
% 119.56/119.34 (E(f313(f179(f885(x134601)),f157(x134601,x134602,x134603)),x134602)),
% 119.56/119.34 inference(rename_variables,[],[3405])).
% 119.56/119.34 cnf(13463,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x134631,a881)),x134632),f313(f313(f295(x134631),x134633),x134632)))),
% 119.56/119.34 inference(rename_variables,[],[3774])).
% 119.56/119.34 cnf(13466,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x134661),x134662),f178(f890(x134661,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13467,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(f885(x134671),f885(x134671))),f313(f313(f240(f885(x134671),f885(x134671)),f104(x134671)),f104(x134671))),f146(x134671,x134672)))),
% 119.56/119.34 inference(rename_variables,[],[4096])).
% 119.56/119.34 cnf(13471,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x134711,a881)),x134712),x134712))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13477,plain,
% 119.56/119.34 (P1(f313(f313(f315(x134771),x134772),f313(f313(f295(x134771),x134772),x134773)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(13478,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(x134781,x134781)),f313(f313(f240(x134781,x134781),x134782),x134782)),f293(x134781,x134783)))),
% 119.56/119.34 inference(rename_variables,[],[3959])).
% 119.56/119.34 cnf(13481,plain,
% 119.56/119.34 (P1(f313(f313(f315(x134811),f313(x134812,x134813)),f313(f296(x134814,x134811,x134812),f230(f890(x134814,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13482,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(x134821,x134821)),f313(f313(f240(x134821,x134821),x134822),x134822)),f293(x134821,x134823)))),
% 119.56/119.34 inference(rename_variables,[],[3959])).
% 119.56/119.34 cnf(13485,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x134851,a881)),x134852),x134852))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13491,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x134911),x134911))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13494,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x134941),x134941))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13497,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x134971),f885(x134971))),f313(f313(f240(f885(x134971),f885(x134971)),x134972),f104(x134971))),f145(x134971,x134973)))),
% 119.56/119.34 inference(rename_variables,[],[4531])).
% 119.56/119.34 cnf(13500,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x135001),x135002),f178(f890(x135001,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13501,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x135011),f885(x135011))),f313(f313(f240(f885(x135011),f885(x135011)),x135012),f104(x135011))),f135(x135011,x135013)))),
% 119.56/119.34 inference(rename_variables,[],[4530])).
% 119.56/119.34 cnf(13504,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x135041),x135042),f178(f890(x135041,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13505,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x135051),f885(x135051))),f313(f313(f240(f885(x135051),f885(x135051)),x135052),f104(x135051))),f133(x135051,x135053)))),
% 119.56/119.34 inference(rename_variables,[],[4529])).
% 119.56/119.34 cnf(13508,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135081),x135082),f230(f890(x135081,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13512,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(x135121,x135121)),f313(f313(f240(x135121,x135121),x135122),x135122)),f313(f313(f171(f889(x135121,x135121),a881),f2(a883)),x135123)))),
% 119.56/119.34 inference(rename_variables,[],[4094])).
% 119.56/119.34 cnf(13513,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135131),x135132),f230(f890(x135131,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13516,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135161),x135162),f230(f890(x135161,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13521,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135211),f313(x135212,x135213)),f313(f296(x135214,x135211,x135212),f230(f890(x135214,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13522,plain,
% 119.56/119.34 (P1(f313(f313(f315(f889(x135221,x135221)),f313(f313(f240(x135221,x135221),x135222),x135222)),f293(x135221,x135223)))),
% 119.56/119.34 inference(rename_variables,[],[3959])).
% 119.56/119.34 cnf(13529,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x135291),x135292),f178(f890(x135291,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13532,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135321),x135322),f230(f890(x135321,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13537,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x135371),x135371))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13540,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x135401),f885(x135401))),f313(f313(f240(f885(x135401),f885(x135401)),x135402),f104(x135401))),f145(x135401,x135403)))),
% 119.56/119.34 inference(rename_variables,[],[4531])).
% 119.56/119.34 cnf(13543,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135431),x135432),f313(f313(f295(x135431),x135432),x135433)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(13546,plain,
% 119.56/119.34 (P1(f313(f313(f315(x135461),x135462),f313(f313(f295(x135461),x135462),x135463)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(13549,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x135491),x135492),f178(f890(x135491,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13550,plain,
% 119.56/119.34 (~P1(f313(f313(f315(f889(f885(x135501),f885(x135501))),f313(f313(f240(f885(x135501),f885(x135501)),x135502),f104(x135501))),f135(x135501,x135503)))),
% 119.56/119.34 inference(rename_variables,[],[4530])).
% 119.56/119.34 cnf(13560,plain,
% 119.56/119.34 (P40(f313(f296(a883,a1,f91(a1)),x135601))),
% 119.56/119.34 inference(rename_variables,[],[3546])).
% 119.56/119.34 cnf(13577,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x135771),x135771))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13580,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x135801,a881)),f313(f296(x135802,x135801,x135803),f313(f297(x135802,x135801,x135803),x135804))),x135804))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(13581,plain,
% 119.56/119.34 (P40(f313(f296(a883,a1,f91(a1)),x135811))),
% 119.56/119.34 inference(rename_variables,[],[3546])).
% 119.56/119.34 cnf(13584,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x135841),x135841))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13595,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),f313(a103,f2(a883))),x135951))),
% 119.56/119.34 inference(rename_variables,[],[3490])).
% 119.56/119.34 cnf(13596,plain,
% 119.56/119.34 (~P1(f313(f313(f222(a883),f313(a103,x135961)),x135961))),
% 119.56/119.34 inference(rename_variables,[],[4510])).
% 119.56/119.34 cnf(13620,plain,
% 119.56/119.34 (P1(f313(f230(f890(x136201,a881)),x136202))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(13623,plain,
% 119.56/119.34 (P1(f313(f230(f890(x136231,a881)),x136232))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(13626,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a1),f313(f91(a1),x136261)),f2(a1)))),
% 119.56/119.34 inference(rename_variables,[],[4517])).
% 119.56/119.34 cnf(13627,plain,
% 119.56/119.34 (P1(f313(f230(f890(x136271,a881)),x136272))),
% 119.56/119.34 inference(rename_variables,[],[3399])).
% 119.56/119.34 cnf(13630,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a1),f313(f91(a1),x136301)),f2(a1)))),
% 119.56/119.34 inference(rename_variables,[],[4517])).
% 119.56/119.34 cnf(13641,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),f2(a1)),f313(f91(a1),x136411)))),
% 119.56/119.34 inference(rename_variables,[],[3438])).
% 119.56/119.34 cnf(13646,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x136461),x136461))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13654,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x136541))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13657,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f313(f313(f29(a883),x136571),x136572)),x136571))),
% 119.56/119.34 inference(rename_variables,[],[3753])).
% 119.56/119.34 cnf(13658,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x136581))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13667,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x136671),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13670,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f313(f179(f885(x136701)),f140(x136701,x136702))),f313(f179(f885(x136701)),x136702)))),
% 119.56/119.34 inference(rename_variables,[],[3871])).
% 119.56/119.34 cnf(13673,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x136731),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13676,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x136761),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13679,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x136791),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13684,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x136841),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13692,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x136921),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13699,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x136991),x136991))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13702,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x137021),f313(a103,x137021)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13706,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137061),x137062),f230(f890(x137061,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13709,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x137091),f313(a103,x137091)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13710,plain,
% 119.56/119.34 (~E(f313(a103,x137101),x137101)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13713,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137131),x137132),f313(f313(f295(x137131),x137132),x137133)))),
% 119.56/119.34 inference(rename_variables,[],[3641])).
% 119.56/119.34 cnf(13718,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x137181),f313(a103,x137181)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13719,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x137191),x137191))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13722,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x137221),x137221))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13730,plain,
% 119.56/119.34 (P24(x137301,x137301,f7(x137301),x137302)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13749,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x137491))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13752,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x137521))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13755,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137551),x137552),f230(f890(x137551,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13756,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137561),x137562),f230(f890(x137561,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13757,plain,
% 119.56/119.34 (~E(f313(f313(f139(x137571),x137572),x137573),x137573)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(13760,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x137601),x137602),f178(f890(x137601,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13763,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x137631),f313(a103,x137631)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13767,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x137671),x137671))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13768,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x137681),x137681))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13769,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x137691),f313(a103,x137691)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13772,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x137721))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13773,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x137731))),
% 119.56/119.34 inference(rename_variables,[],[3360])).
% 119.56/119.34 cnf(13776,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x137761))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13777,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x137771))),
% 119.56/119.34 inference(rename_variables,[],[3360])).
% 119.56/119.34 cnf(13780,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137801),x137802),f230(f890(x137801,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13781,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137811),x137812),f230(f890(x137811,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13785,plain,
% 119.56/119.34 (P1(f313(f313(f315(x137851),f313(x137852,x137853)),f313(f296(x137854,x137851,x137852),f230(f890(x137854,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13788,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x137881),x137881))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13791,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x137911),x137912),f178(f890(x137911,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13794,plain,
% 119.56/119.34 (P1(f313(f54(x137941),f313(f160(x137941),x137942)))),
% 119.56/119.34 inference(rename_variables,[],[3379])).
% 119.56/119.34 cnf(13797,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x137971),x137972),f178(f890(x137971,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13817,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x138171),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(13822,plain,
% 119.56/119.34 (P24(x138221,x138221,f7(x138221),x138222)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13825,plain,
% 119.56/119.34 (P24(x138251,x138251,f7(x138251),x138252)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13828,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x138281),x138281))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13831,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x138311),x138312),f178(f890(x138311,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13834,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x138341),x138341))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(13837,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x138371),x138371))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(13840,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x138401),x138401))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13843,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x138431),x138431))),
% 119.56/119.34 inference(rename_variables,[],[4501])).
% 119.56/119.34 cnf(13844,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x138441),f313(a103,x138441)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13847,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x138471),f313(a103,x138471)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(13850,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x138501),x138501))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13853,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x138531),x138531))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13856,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x138561),x138561))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13866,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x138661,a881)),x138662),x138662))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13869,plain,
% 119.56/119.34 (E(f313(f313(f18(x138691,x138692),x138693),x138694),x138693)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(13875,plain,
% 119.56/119.34 (P1(f313(f313(f315(x138751),x138752),f230(f890(x138751,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(13885,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x138851),x138851))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13904,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x139041,x139042)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(13907,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x139071,x139072)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(13910,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x139101,x139102)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(13913,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x139131,x139132)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(13916,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x139161,a881)),x139162),x139162))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13917,plain,
% 119.56/119.34 (P24(x139171,x139171,f7(x139171),x139172)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13920,plain,
% 119.56/119.34 (P1(f313(f313(f315(x139201),f313(x139202,x139203)),f313(f296(x139204,x139201,x139202),f230(f890(x139204,a881)))))),
% 119.56/119.34 inference(rename_variables,[],[3926])).
% 119.56/119.34 cnf(13950,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x139501),x139501))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(13955,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x139551),x139551))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13958,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x139581),x139581))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13966,plain,
% 119.56/119.34 (E(f161(x139661,x139662,f104(x139661)),x139662)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(13969,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x139691),x139692),f178(f890(x139691,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13970,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x139701),x139701))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13973,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x139731),x139732),f178(f890(x139731,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(13977,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x139771,a881)),x139772),x139772))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(13978,plain,
% 119.56/119.34 (~E(f313(a103,x139781),x139781)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(13979,plain,
% 119.56/119.34 (P24(x139791,x139791,f7(x139791),x139792)),
% 119.56/119.34 inference(rename_variables,[],[3571])).
% 119.56/119.34 cnf(13982,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x139821))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(13983,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x139831))),
% 119.56/119.34 inference(rename_variables,[],[3360])).
% 119.56/119.34 cnf(13984,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x139841),x139841))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(13987,plain,
% 119.56/119.34 (E(f313(f313(f3(f890(x139871,a881)),f178(f890(x139871,a881))),x139872),f178(f890(x139871,a881)))),
% 119.56/119.34 inference(rename_variables,[],[3597])).
% 119.56/119.34 cnf(13988,plain,
% 119.56/119.34 (P1(f313(f54(x139881),f178(f890(x139881,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(13991,plain,
% 119.56/119.34 (E(f313(f313(f3(f890(x139911,a881)),f178(f890(x139911,a881))),x139912),f178(f890(x139911,a881)))),
% 119.56/119.34 inference(rename_variables,[],[3597])).
% 119.56/119.34 cnf(13992,plain,
% 119.56/119.34 (P1(f313(f54(x139921),f178(f890(x139921,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(13995,plain,
% 119.56/119.34 (E(f313(f313(f3(f890(x139951,a881)),f178(f890(x139951,a881))),x139952),f178(f890(x139951,a881)))),
% 119.56/119.34 inference(rename_variables,[],[3597])).
% 119.56/119.34 cnf(13996,plain,
% 119.56/119.34 (P1(f313(f54(x139961),f178(f890(x139961,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(13999,plain,
% 119.56/119.34 (E(f313(f313(f3(f890(x139991,a881)),f178(f890(x139991,a881))),x139992),f178(f890(x139991,a881)))),
% 119.56/119.34 inference(rename_variables,[],[3597])).
% 119.56/119.34 cnf(14000,plain,
% 119.56/119.34 (P1(f313(f54(x140001),f178(f890(x140001,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14003,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x140031),x140032),f178(f890(x140031,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14007,plain,
% 119.56/119.34 (P1(f313(f313(f315(x140071),x140072),f230(f890(x140071,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14008,plain,
% 119.56/119.34 (P1(f313(f313(f315(x140081),x140082),f230(f890(x140081,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14011,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x140111,a881)),x140112),x140112))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(14030,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x140301,x140302)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(14033,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x140331,x140332)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(14036,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x140361),x140362),f178(f890(x140361,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14037,plain,
% 119.56/119.34 (P1(f313(f54(x140371),f178(f890(x140371,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14040,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x140401),x140402),f178(f890(x140401,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14041,plain,
% 119.56/119.34 (P1(f313(f54(x140411),f178(f890(x140411,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14044,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x140441),x140442),f178(f890(x140441,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14045,plain,
% 119.56/119.34 (P1(f313(f54(x140451),f178(f890(x140451,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14048,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x140481),x140482),f178(f890(x140481,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14049,plain,
% 119.56/119.34 (P1(f313(f54(x140491),f178(f890(x140491,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14052,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x140521),x140522),f178(f890(x140521,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14055,plain,
% 119.56/119.34 (E(f313(f313(f18(x140551,x140552),x140553),x140554),x140553)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(14058,plain,
% 119.56/119.34 (E(f313(f313(f3(f890(x140581,a881)),f178(f890(x140581,a881))),x140582),f178(f890(x140581,a881)))),
% 119.56/119.34 inference(rename_variables,[],[3597])).
% 119.56/119.34 cnf(14059,plain,
% 119.56/119.34 (P1(f313(f54(x140591),f178(f890(x140591,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14063,plain,
% 119.56/119.34 (P1(f313(f54(x140631),f178(f890(x140631,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14067,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x140671,a881)),x140672),x140672))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(14068,plain,
% 119.56/119.34 (P24(a883,a883,a103,x140681)),
% 119.56/119.34 inference(rename_variables,[],[3539])).
% 119.56/119.34 cnf(14072,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x140721,a881)),x140722),x140722))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(14077,plain,
% 119.56/119.34 (P24(a883,a883,a103,x140771)),
% 119.56/119.34 inference(rename_variables,[],[3539])).
% 119.56/119.34 cnf(14081,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x140811),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(14082,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x140821),x140821))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(14086,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x140861),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(14087,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x140871),x140871))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(14090,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x140901,a881)),f313(f296(x140902,x140901,x140903),f313(f297(x140902,x140901,x140903),x140904))),x140904))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(14100,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x141001),x141002),f178(f890(x141001,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14101,plain,
% 119.56/119.34 (P1(f313(f54(x141011),f178(f890(x141011,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14104,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x141041),x141042),f178(f890(x141041,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14105,plain,
% 119.56/119.34 (P1(f313(f54(x141051),f178(f890(x141051,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14108,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x141081),x141082),f178(f890(x141081,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14109,plain,
% 119.56/119.34 (P1(f313(f54(x141091),f178(f890(x141091,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14112,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x141121,a881)),f178(f890(x141121,a881))),x141122))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(14113,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x141131),x141132),f178(f890(x141131,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14117,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x141171),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(14118,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x141181),x141181))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(14122,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x141221),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(14123,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x141231),x141231))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(14130,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x141301,a881)),x141302),x141302))),
% 119.56/119.34 inference(rename_variables,[],[3626])).
% 119.56/119.34 cnf(14134,plain,
% 119.56/119.34 (P24(a883,a883,a103,x141341)),
% 119.56/119.34 inference(rename_variables,[],[3539])).
% 119.56/119.34 cnf(14137,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x141371))),
% 119.56/119.34 inference(rename_variables,[],[3360])).
% 119.56/119.34 cnf(14138,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x141381))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14139,plain,
% 119.56/119.34 (~P1(f313(f313(f223(a883),x141391),f2(a883)))),
% 119.56/119.34 inference(rename_variables,[],[4504])).
% 119.56/119.34 cnf(14142,plain,
% 119.56/119.34 (~E(f313(f313(f139(x141421),x141422),x141423),x141423)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(14145,plain,
% 119.56/119.34 (P1(f313(f313(f315(x141451),x141452),f230(f890(x141451,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14147,plain,
% 119.56/119.34 (E(f161(x141471,x141472,f104(x141471)),x141472)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14150,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x141501),x141501))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(14151,plain,
% 119.56/119.34 (E(f161(x141511,x141512,f104(x141511)),x141512)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14155,plain,
% 119.56/119.34 (P1(f313(f313(f315(x141551),x141552),f230(f890(x141551,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14160,plain,
% 119.56/119.34 (~E(f313(f313(f139(x141601),x141602),x141603),x141603)),
% 119.56/119.34 inference(rename_variables,[],[4481])).
% 119.56/119.34 cnf(14170,plain,
% 119.56/119.34 (~E(f313(a103,x141701),x141701)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14173,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x141731),x141731))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(14174,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x141741),f313(a103,x141741)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14175,plain,
% 119.56/119.34 (E(f161(x141751,x141752,f104(x141751)),x141752)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14176,plain,
% 119.56/119.34 (~E(f313(a103,x141761),x141761)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14179,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x141791),f313(a103,x141791)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14180,plain,
% 119.56/119.34 (E(f161(x141801,x141802,f104(x141801)),x141802)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14181,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),x141811),x141811))),
% 119.56/119.34 inference(rename_variables,[],[3340])).
% 119.56/119.34 cnf(14182,plain,
% 119.56/119.34 (~E(f313(a103,x141821),x141821)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14185,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x141851,a881)),f178(f890(x141851,a881))),x141852))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(14188,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),f2(a1)),f313(f91(a1),x141881)))),
% 119.56/119.34 inference(rename_variables,[],[3438])).
% 119.56/119.34 cnf(14192,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x141921),f313(a103,f313(f313(f73(a883),x141922),x141921))))),
% 119.56/119.34 inference(rename_variables,[],[3777])).
% 119.56/119.34 cnf(14193,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x141931),f313(a103,x141931)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14196,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x141961),f313(a103,x141961)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14197,plain,
% 119.56/119.34 (~E(f313(a103,x141971),x141971)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14200,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x142001),f313(a103,x142001)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14203,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x142031),f313(a103,x142031)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14204,plain,
% 119.56/119.34 (~E(f313(a103,x142041),x142041)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14207,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142071),x142072),f178(f890(x142071,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14210,plain,
% 119.56/119.34 (~E(f313(a103,x142101),f2(a883))),
% 119.56/119.34 inference(rename_variables,[],[4469])).
% 119.56/119.34 cnf(14213,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x142131))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14217,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x142171))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14218,plain,
% 119.56/119.34 (E(f161(x142181,x142182,f104(x142181)),x142182)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14221,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x142211,a881)),f313(f296(x142212,x142211,x142213),f313(f297(x142212,x142211,x142213),x142214))),x142214))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(14225,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),f313(a103,f2(a883))),x142251))),
% 119.56/119.34 inference(rename_variables,[],[3490])).
% 119.56/119.34 cnf(14226,plain,
% 119.56/119.34 (E(f161(x142261,x142262,f104(x142261)),x142262)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14227,plain,
% 119.56/119.34 (~E(f313(a103,x142271),x142271)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14230,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x142301),x142301))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(14232,plain,
% 119.56/119.34 (~E(f313(a103,x142321),x142321)),
% 119.56/119.34 inference(rename_variables,[],[4467])).
% 119.56/119.34 cnf(14235,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x142351,a881)),f178(f890(x142351,a881))),x142352))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(14236,plain,
% 119.56/119.34 (E(f313(f313(f18(x142361,x142362),x142363),x142364),x142363)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(14239,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x142391,a881)),f313(f296(x142392,x142391,x142393),f313(f297(x142392,x142391,x142393),x142394))),x142394))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(14240,plain,
% 119.56/119.34 (E(f313(f313(f18(x142401,x142402),x142403),x142404),x142403)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(14243,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x142431,a881)),f178(f890(x142431,a881))),x142432))),
% 119.56/119.34 inference(rename_variables,[],[3776])).
% 119.56/119.34 cnf(14244,plain,
% 119.56/119.34 (E(f313(f313(f18(x142441,x142442),x142443),x142444),x142443)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(14247,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x142471,a881)),f313(f296(x142472,x142471,x142473),f313(f297(x142472,x142471,x142473),x142474))),x142474))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(14248,plain,
% 119.56/119.34 (E(f313(f313(f18(x142481,x142482),x142483),x142484),x142483)),
% 119.56/119.34 inference(rename_variables,[],[3331])).
% 119.56/119.34 cnf(14251,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x142511))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14255,plain,
% 119.56/119.34 (E(f161(x142551,x142552,f104(x142551)),x142552)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14260,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x142601))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14264,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142641),x142642),f178(f890(x142641,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14267,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142671),x142672),f178(f890(x142671,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14268,plain,
% 119.56/119.34 (E(f161(x142681,x142682,f104(x142681)),x142682)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14269,plain,
% 119.56/119.34 (P24(a883,a883,a103,x142691)),
% 119.56/119.34 inference(rename_variables,[],[3539])).
% 119.56/119.34 cnf(14272,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142721),x142722),f178(f890(x142721,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14273,plain,
% 119.56/119.34 (E(f161(x142731,x142732,f104(x142731)),x142732)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14284,plain,
% 119.56/119.34 (P1(f313(f313(f222(a1),x142841),x142841))),
% 119.56/119.34 inference(rename_variables,[],[3341])).
% 119.56/119.34 cnf(14285,plain,
% 119.56/119.34 (P1(f313(f54(a1),f289(a1,x142851,x142852)))),
% 119.56/119.34 inference(rename_variables,[],[3543])).
% 119.56/119.34 cnf(14288,plain,
% 119.56/119.34 (P1(f313(f313(f222(f890(x142881,a881)),f313(f296(x142882,x142881,x142883),f313(f297(x142882,x142881,x142883),x142884))),x142884))),
% 119.56/119.34 inference(rename_variables,[],[4192])).
% 119.56/119.34 cnf(14289,plain,
% 119.56/119.34 (P1(f313(f313(f273(a883),x142891),x142891))),
% 119.56/119.34 inference(rename_variables,[],[3342])).
% 119.56/119.34 cnf(14292,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142921),x142922),f178(f890(x142921,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14293,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142931),x142932),f178(f890(x142931,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14296,plain,
% 119.56/119.34 (P1(f313(f54(x142961),f178(f890(x142961,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14297,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x142971),x142972),f178(f890(x142971,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14301,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x143011),x143012),f178(f890(x143011,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14302,plain,
% 119.56/119.34 (~P1(f313(f313(f315(x143021),x143022),f178(f890(x143021,a881))))),
% 119.56/119.34 inference(rename_variables,[],[4512])).
% 119.56/119.34 cnf(14303,plain,
% 119.56/119.34 (P1(f313(f54(x143031),f178(f890(x143031,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3413])).
% 119.56/119.34 cnf(14306,plain,
% 119.56/119.34 (P1(f313(f313(f315(x143061),x143062),f230(f890(x143061,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14307,plain,
% 119.56/119.34 (P1(f313(f313(f315(x143071),x143072),f230(f890(x143071,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14310,plain,
% 119.56/119.34 (P1(f313(f54(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),x143101)),f313(f313(f9(a883,a883,a881),f223(a883)),x143102)))))),
% 119.56/119.34 inference(rename_variables,[],[4347])).
% 119.56/119.34 cnf(14311,plain,
% 119.56/119.34 (E(f313(f313(f227(a883),f313(a103,x143111)),f313(a103,x143112)),f313(a103,f313(f313(f227(a883),x143111),x143112)))),
% 119.56/119.34 inference(rename_variables,[],[3505])).
% 119.56/119.34 cnf(14314,plain,
% 119.56/119.34 (P1(f313(f54(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),x143141)),f313(f313(f9(a883,a883,a881),f223(a883)),x143142)))))),
% 119.56/119.34 inference(rename_variables,[],[4347])).
% 119.56/119.34 cnf(14315,plain,
% 119.56/119.34 (E(f313(f313(f177(a883),f313(a103,x143151)),f313(a103,x143152)),f313(a103,f313(f313(f177(a883),x143151),x143152)))),
% 119.56/119.34 inference(rename_variables,[],[3506])).
% 119.56/119.34 cnf(14318,plain,
% 119.56/119.34 (P1(f313(f313(f315(x143181),x143182),f230(f890(x143181,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14319,plain,
% 119.56/119.34 (P1(f313(f313(f315(x143191),x143192),f230(f890(x143191,a881))))),
% 119.56/119.34 inference(rename_variables,[],[3488])).
% 119.56/119.34 cnf(14322,plain,
% 119.56/119.34 (P1(f313(f54(a883),f313(f250(a883),f313(f313(f20(a883,a881,a881),f313(f313(f10(a881,f890(a881,a881),a883),a311),x143221)),f313(f313(f9(a883,a883,a881),f223(a883)),x143222)))))),
% 119.56/119.34 inference(rename_variables,[],[4347])).
% 119.56/119.34 cnf(14335,plain,
% 119.56/119.34 (E(f161(x143351,x143352,f104(x143351)),x143352)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14338,plain,
% 119.56/119.34 (E(f161(x143381,x143382,f104(x143381)),x143382)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14345,plain,
% 119.56/119.34 (E(f161(x143451,x143452,f104(x143451)),x143452)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14348,plain,
% 119.56/119.34 (E(f161(x143481,x143482,f104(x143481)),x143482)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14354,plain,
% 119.56/119.34 (E(f161(x143541,x143542,f104(x143541)),x143542)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14357,plain,
% 119.56/119.34 (E(f161(x143571,x143572,f104(x143571)),x143572)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14360,plain,
% 119.56/119.34 (E(f161(x143601,x143602,f104(x143601)),x143602)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14363,plain,
% 119.56/119.34 (E(f161(x143631,x143632,f104(x143631)),x143632)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14366,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x143661),f313(a103,x143661)))),
% 119.56/119.34 inference(rename_variables,[],[3406])).
% 119.56/119.34 cnf(14367,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x143671))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14368,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),f2(a883)),f313(a103,x143681)))),
% 119.56/119.34 inference(rename_variables,[],[3418])).
% 119.56/119.34 cnf(14369,plain,
% 119.56/119.34 (E(f161(x143691,x143692,f104(x143691)),x143692)),
% 119.56/119.34 inference(rename_variables,[],[3278])).
% 119.56/119.34 cnf(14373,plain,
% 119.56/119.34 (P1(f313(f313(f223(a883),x143731),f313(a103,f313(f313(f73(a883),x143732),x143731))))),
% 119.56/119.34 inference(rename_variables,[],[3777])).
% 119.56/119.34 cnf(14374,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x143741))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14381,plain,
% 119.56/119.34 (P1(f313(f313(f222(a883),f2(a883)),x143811))),
% 119.56/119.34 inference(rename_variables,[],[3361])).
% 119.56/119.34 cnf(14456,plain,
% 119.56/119.34 ($false),
% 119.56/119.34 inference(scs_inference,[],[3384,3155,4463,3539,14068,14077,14134,14269,4480,2951,2952,2954,2955,2956,2957,2959,2960,2961,2962,2963,2964,2965,2966,2967,2969,2970,2973,2974,2977,2980,2983,2986,2989,2992,2996,3001,3002,3003,3005,3006,3009,3012,3013,3015,3018,3021,3024,3027,3028,3031,3032,3036,3037,3038,3041,3042,3043,3044,3046,3049,3052,3053,3056,3057,3059,3062,3065,3068,3071,3072,3073,3076,3079,3080,3081,3086,3091,3092,3095,3096,3097,3098,3103,3104,3105,3106,3107,3111,3113,3115,3116,3118,3122,3126,3130,3133,3152,3154,3232,4465,2947,2948,3144,3138,3139,4466,3990,3234,4476,3627,3640,3605,3165,3159,3217,4494,4496,4498,3317,3319,3321,4495,4497,3318,3320,4475,3478,3180,3181,3343,4503,4508,4507,3224,3312,3231,3368,3367,3369,3449,3841,3431,4115,4312,4170,4395,3571,12500,12777,12951,12995,13066,13156,13730,13822,13825,13917,13979,3310,3311,3277,4488,4489,3210,3211,3212,3213,4467,10321,10328,10331,10352,10373,10615,10670,10977,10980,11014,11175,11178,11281,11364,11580,11919,11932,11935,11984,12080,12232,12244,12289,12525,12529,12533,12790,12794,12806,12816,12828,12851,13026,13030,13171,13271,13275,13350,13360,13415,13710,13978,14170,14176,14182,14197,14204,14227,14232,3208,3578,12559,4250,4251,3314,3628,3359,4469,10376,10599,10899,11481,12116,14210,3278,10528,10664,10667,11169,11172,11577,11806,11826,11837,11844,11917,11992,11995,12083,12088,12092,12278,12503,13092,13126,13132,13138,13141,13166,13292,13344,13966,14147,14151,14175,14180,14218,14226,14255,14268,14273,14335,14338,14345,14348,14354,14357,14360,14363,14369,3279,10531,13129,3176,3177,10508,4158,3586,3394,3786,3395,11574,12852,3397,3223,12516,4481,10303,10312,10618,10625,10983,11998,12001,12005,12235,12292,13285,13289,13300,13757,14142,14160,3331,13083,13086,13869,14055,14236,14240,14244,14248,3442,3434,3227,3228,3256,4478,3324,3444,3540,3541,3543,12769,13904,13907,13910,13913,14030,14033,14285,3340,10381,10440,10561,10579,10646,10839,11090,11098,11107,11124,11237,11243,11412,11462,11495,11643,11723,11974,12067,12091,12138,12171,12272,12532,12577,12583,12589,12595,12647,12653,12659,12665,12840,13001,13159,13197,13203,13216,13373,13380,13414,13450,13699,13722,13768,13788,13828,13840,13850,13853,13856,13955,13958,13970,13984,14150,14173,14181,3341,10725,10769,11207,12109,12174,12275,12580,12586,12592,12598,12650,12656,12662,12668,12677,13401,13407,13453,13577,13584,13646,13885,13950,14082,14087,14118,14123,14284,3342,10722,10750,12565,12568,13834,13837,14230,14289,4501,10349,10455,10592,10604,10651,10659,10755,10762,11095,11226,11450,11571,11626,11704,12025,12049,12070,12073,12112,12130,12133,12145,12368,12456,12509,12513,12524,12528,12545,12550,12629,12632,12635,12640,12682,12685,12688,12694,12827,12998,13025,13029,13063,13069,13072,13120,13123,13206,13219,13410,13439,13491,13494,13537,13719,13767,13843,4502,3399,10791,10794,11250,11257,11652,12815,13381,13411,13620,13623,13627,3546,13560,13581,3653,3272,13284,13288,3405,12976,13460,3237,12401,3239,3200,3884,3271,3296,11155,4484,11484,3247,3235,3236,11286,11500,3671,3406,10407,10431,10470,10473,10542,10564,10571,10574,10827,11087,11196,11316,12162,12249,12305,12335,12510,12571,12574,12886,13160,13200,13702,13709,13718,13763,13769,13844,13847,14174,14179,14193,14196,14200,14203,14366,4504,11135,11346,11443,12481,12484,12781,12885,13062,13440,13667,13673,13676,13679,13684,13692,13817,14081,14086,14117,14122,14139,3379,13077,13080,13267,13425,13794,4509,10673,10678,10864,10870,11138,11274,11357,11453,11505,11556,12283,3413,12209,12920,13182,13988,13992,13996,14000,14037,14041,14045,14049,14059,14063,14101,14105,14109,14296,14303,3361,10719,10797,12053,12805,13005,13654,13658,13749,13752,13772,13776,13982,14138,14213,14217,14251,14260,14367,14374,14381,3784,10340,12342,12415,4510,10505,10702,10705,10815,10820,11977,12243,12388,12700,12703,12706,12711,12780,13222,13596,3360,13773,13777,13983,14137,4228,4523,10867,10873,3626,11313,11456,11609,11640,11664,11667,11755,11777,12497,12859,12933,13244,13247,13303,13323,13326,13330,13377,13384,13390,13398,13428,13471,13485,13866,13916,13977,14011,14067,14072,14130,3287,13293,3219,4511,10710,11300,11726,3306,3652,3258,3515,3385,12004,3672,3418,12343,12371,12374,12377,12380,12506,14368,3651,3488,10370,10402,11000,11006,11210,11219,11378,11381,11384,11423,11426,11512,11535,11541,11587,11623,11629,11634,11675,11695,11698,11701,11712,11923,12115,12774,12789,12878,12942,12970,12983,12989,13010,13016,13054,13211,13225,13254,13320,13372,13419,13459,13508,13513,13516,13532,13706,13756,13781,13875,14008,14145,14155,14306,14318,14007,14307,14319,13755,13780,4512,10525,11009,11021,11184,11319,11343,11349,11389,11395,11401,11459,11471,11487,11490,11517,11523,11592,11604,11612,11637,11646,11655,11661,11670,11685,11709,11715,11737,11740,11743,11746,11760,11780,11783,13038,13047,13183,13188,13191,13194,13261,13264,13278,13281,13314,13353,13356,13369,13391,13395,13404,13443,13447,13456,13466,13500,13504,13529,13549,13760,13791,13797,13831,13969,13973,14003,14036,14040,14044,14048,14052,1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% 119.56/119.35 ['proof']).
% 119.56/119.35 % SZS output end Proof
% 119.56/119.35 % Total time :115.570000s
%------------------------------------------------------------------------------